Rebuild HTML docs.

docs/sphinx_docs/_build/html/_modules/index.html

@@ -102,7 +102,7 @@
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/_modules/joy/library.html

@@ -94,7 +94,7 @@
 
 <span class="si">%s</span><span class="s1"></span>
 
-<span class="s1">---- end (</span><span class="si">%s</span><span class="s1">)</span>
+<span class="s1">---- end ( </span><span class="si">%s</span><span class="s1"> )</span>
 <span class="s1">&#39;&#39;&#39;</span>
 
 
@@ -260,15 +260,6 @@
     <span class="k">return</span> <span class="n">stack</span><span class="p">,</span> <span class="n">expression</span><span class="p">,</span> <span class="n">dictionary</span></div>
 
 
-<div class="viewcode-block" id="parse"><a class="viewcode-back" href="../../library.html#joy.library.parse">[docs]</a><span class="nd">@inscribe</span>
-<span class="nd">@SimpleFunctionWrapper</span>
-<span class="k">def</span> <span class="nf">parse</span><span class="p">(</span><span class="n">stack</span><span class="p">):</span>
-    <span class="sd">&#39;&#39;&#39;Parse the string on the stack to a Joy expression.&#39;&#39;&#39;</span>
-    <span class="n">text</span><span class="p">,</span> <span class="n">stack</span> <span class="o">=</span> <span class="n">stack</span>
-    <span class="n">expression</span> <span class="o">=</span> <span class="n">text_to_expression</span><span class="p">(</span><span class="n">text</span><span class="p">)</span>
-    <span class="k">return</span> <span class="n">expression</span><span class="p">,</span> <span class="n">stack</span></div>
-
-
 <span class="c1"># @inscribe</span>
 <span class="c1"># @SimpleFunctionWrapper</span>
 <span class="c1"># def infer_(stack):</span>
@@ -373,19 +364,18 @@
 <span class="sd">    Use a Boolean value to select one of two items.</span>
 <span class="sd">    ::</span>
 
-<span class="sd">           A B False choice</span>
+<span class="sd">           A B false choice</span>
 <span class="sd">        ----------------------</span>
 <span class="sd">           A</span>
 
 
-<span class="sd">           A B True choice</span>
+<span class="sd">           A B true choice</span>
 <span class="sd">        ---------------------</span>
 <span class="sd">             B</span>
 
-<span class="sd">    Currently Python semantics are used to evaluate the &quot;truthiness&quot; of the</span>
-<span class="sd">    Boolean value (so empty string, zero, etc. are counted as false, etc.)</span>
 <span class="sd">    &#39;&#39;&#39;</span>
     <span class="p">(</span><span class="n">if_</span><span class="p">,</span> <span class="p">(</span><span class="n">then</span><span class="p">,</span> <span class="p">(</span><span class="n">else_</span><span class="p">,</span> <span class="n">stack</span><span class="p">)))</span> <span class="o">=</span> <span class="n">stack</span>
+    <span class="k">assert</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">if_</span><span class="p">,</span> <span class="nb">bool</span><span class="p">),</span> <span class="nb">repr</span><span class="p">(</span><span class="n">if_</span><span class="p">)</span>
     <span class="k">return</span> <span class="n">then</span> <span class="k">if</span> <span class="n">if_</span> <span class="k">else</span> <span class="n">else_</span><span class="p">,</span> <span class="n">stack</span></div>
 
 
@@ -396,12 +386,12 @@
 <span class="sd">    Use a Boolean value to select one of two items from a sequence.</span>
 <span class="sd">    ::</span>
 
-<span class="sd">           [A B] False select</span>
+<span class="sd">           [A B] false select</span>
 <span class="sd">        ------------------------</span>
 <span class="sd">            A</span>
 
 
-<span class="sd">           [A B] True select</span>
+<span class="sd">           [A B] true select</span>
 <span class="sd">        -----------------------</span>
 <span class="sd">              B</span>
 
@@ -625,9 +615,9 @@
 
 <span class="sd">    Return the tuple (x//y, x%y).  Invariant: q * y + r == x.</span>
 <span class="sd">    &#39;&#39;&#39;</span>
-    <span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">stack</span><span class="p">)</span> <span class="o">=</span> <span class="n">S</span>
-    <span class="n">d</span><span class="p">,</span> <span class="n">m</span> <span class="o">=</span> <span class="nb">divmod</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">)</span>
-    <span class="k">return</span> <span class="n">d</span><span class="p">,</span> <span class="p">(</span><span class="n">m</span><span class="p">,</span> <span class="n">stack</span><span class="p">)</span></div>
+    <span class="n">y</span><span class="p">,</span> <span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">stack</span><span class="p">)</span> <span class="o">=</span> <span class="n">S</span>
+    <span class="n">q</span><span class="p">,</span> <span class="n">r</span> <span class="o">=</span> <span class="nb">divmod</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span>
+    <span class="k">return</span> <span class="n">r</span><span class="p">,</span> <span class="p">(</span><span class="n">q</span><span class="p">,</span> <span class="n">stack</span><span class="p">)</span></div>
 
 
 <div class="viewcode-block" id="sqrt"><a class="viewcode-back" href="../../library.html#joy.library.sqrt">[docs]</a><span class="k">def</span> <span class="nf">sqrt</span><span class="p">(</span><span class="n">a</span><span class="p">):</span>
@@ -1482,7 +1472,7 @@
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/_modules/joy/parser.html

@@ -71,6 +71,11 @@
 <span class="sd">&#39;&#39;&#39;</span>
 <span class="kn">from</span> <span class="nn">re</span> <span class="kn">import</span> <span class="n">Scanner</span>
 <span class="kn">from</span> <span class="nn">.utils.stack</span> <span class="kn">import</span> <span class="n">list_to_stack</span>
+<span class="kn">from</span> <span class="nn">.utils.snippets</span> <span class="kn">import</span> <span class="p">(</span>
+    <span class="n">pat</span> <span class="k">as</span> <span class="n">SNIPPETS</span><span class="p">,</span>
+    <span class="n">from_string</span><span class="p">,</span>
+    <span class="n">Snippet</span><span class="p">,</span>
+    <span class="p">)</span>
 
 
 <span class="n">BRACKETS</span> <span class="o">=</span> <span class="sa">r</span><span class="s1">&#39;\[|\]&#39;</span>
@@ -79,6 +84,7 @@
 
 
 <span class="n">token_scanner</span> <span class="o">=</span> <span class="n">Scanner</span><span class="p">([</span>
+    <span class="p">(</span><span class="n">SNIPPETS</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">_</span><span class="p">,</span> <span class="n">token</span><span class="p">:</span> <span class="n">from_string</span><span class="p">(</span><span class="n">token</span><span class="p">)),</span>
     <span class="p">(</span><span class="n">BRACKETS</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">_</span><span class="p">,</span> <span class="n">token</span><span class="p">:</span> <span class="n">token</span><span class="p">),</span>
     <span class="p">(</span><span class="n">BLANKS</span><span class="p">,</span> <span class="kc">None</span><span class="p">),</span>
     <span class="p">(</span><span class="n">WORDS</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">_</span><span class="p">,</span> <span class="n">token</span><span class="p">:</span> <span class="n">token</span><span class="p">),</span>
@@ -138,20 +144,16 @@
             <span class="n">v</span> <span class="o">=</span> <span class="n">frame</span>
             <span class="k">try</span><span class="p">:</span> <span class="n">frame</span> <span class="o">=</span> <span class="n">stack</span><span class="o">.</span><span class="n">pop</span><span class="p">()</span>
             <span class="k">except</span> <span class="ne">IndexError</span><span class="p">:</span>
-                <span class="k">raise</span> <span class="n">ParseError</span><span class="p">(</span><span class="s1">&#39;Extra closing bracket.&#39;</span><span class="p">)</span>
+                <span class="k">raise</span> <span class="n">ParseError</span><span class="p">(</span><span class="s1">&#39;Extra closing bracket.&#39;</span><span class="p">)</span> <span class="kn">from</span> <span class="bp">None</span>
             <span class="n">frame</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">list_to_stack</span><span class="p">(</span><span class="n">v</span><span class="p">))</span>
-        <span class="k">elif</span> <span class="n">tok</span> <span class="o">==</span> <span class="s1">&#39;true&#39;</span><span class="p">:</span>
-            <span class="n">frame</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">True</span><span class="p">)</span>
-        <span class="k">elif</span> <span class="n">tok</span> <span class="o">==</span> <span class="s1">&#39;false&#39;</span><span class="p">:</span>
-            <span class="n">frame</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">False</span><span class="p">)</span>
+        <span class="k">elif</span> <span class="n">tok</span> <span class="o">==</span> <span class="s1">&#39;true&#39;</span><span class="p">:</span> <span class="n">frame</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">True</span><span class="p">)</span>
+        <span class="k">elif</span> <span class="n">tok</span> <span class="o">==</span> <span class="s1">&#39;false&#39;</span><span class="p">:</span> <span class="n">frame</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">False</span><span class="p">)</span>
+        <span class="k">elif</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">tok</span><span class="p">,</span> <span class="n">Snippet</span><span class="p">):</span> <span class="n">frame</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">tok</span><span class="p">)</span>
         <span class="k">else</span><span class="p">:</span>
-            <span class="k">try</span><span class="p">:</span>
-                <span class="n">thing</span> <span class="o">=</span> <span class="nb">int</span><span class="p">(</span><span class="n">tok</span><span class="p">)</span>
-            <span class="k">except</span> <span class="ne">ValueError</span><span class="p">:</span>
-                <span class="n">thing</span> <span class="o">=</span> <span class="n">Symbol</span><span class="p">(</span><span class="n">tok</span><span class="p">)</span>
+            <span class="k">try</span><span class="p">:</span> <span class="n">thing</span> <span class="o">=</span> <span class="nb">int</span><span class="p">(</span><span class="n">tok</span><span class="p">)</span>
+            <span class="k">except</span> <span class="ne">ValueError</span><span class="p">:</span> <span class="n">thing</span> <span class="o">=</span> <span class="n">Symbol</span><span class="p">(</span><span class="n">tok</span><span class="p">)</span>
             <span class="n">frame</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">thing</span><span class="p">)</span>
-    <span class="k">if</span> <span class="n">stack</span><span class="p">:</span>
-        <span class="k">raise</span> <span class="n">ParseError</span><span class="p">(</span><span class="s1">&#39;Unclosed bracket.&#39;</span><span class="p">)</span>
+    <span class="k">if</span> <span class="n">stack</span><span class="p">:</span> <span class="k">raise</span> <span class="n">ParseError</span><span class="p">(</span><span class="s1">&#39;Unclosed bracket.&#39;</span><span class="p">)</span>
     <span class="k">return</span> <span class="n">list_to_stack</span><span class="p">(</span><span class="n">frame</span><span class="p">)</span>
 </pre></div>
 
@@ -220,7 +222,7 @@
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/_modules/joy/utils/stack.html

@@ -104,6 +104,7 @@
 
 <span class="sd">&#39;&#39;&#39;</span>
 <span class="kn">from</span> <span class="nn">.errors</span> <span class="kn">import</span> <span class="n">NotAListError</span>
+<span class="kn">from</span> <span class="nn">.snippets</span> <span class="kn">import</span> <span class="n">Snippet</span><span class="p">,</span> <span class="n">to_string</span> <span class="k">as</span> <span class="n">snip_to_string</span>
 
 
 <div class="viewcode-block" id="list_to_stack"><a class="viewcode-back" href="../../../stack.html#joy.utils.stack.list_to_stack">[docs]</a><span class="k">def</span> <span class="nf">list_to_stack</span><span class="p">(</span><span class="n">el</span><span class="p">,</span> <span class="n">stack</span><span class="o">=</span><span class="p">()):</span>
@@ -162,24 +163,28 @@
     <span class="k">return</span> <span class="n">_to_string</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">iter_stack</span><span class="p">)</span></div>
 
 
-<span class="n">_JOY_BOOL_LITS</span> <span class="o">=</span> <span class="s1">&#39;false&#39;</span><span class="p">,</span> <span class="s1">&#39;true&#39;</span>
+<span class="n">JOY_BOOL_LITERALS</span> <span class="o">=</span> <span class="s1">&#39;false&#39;</span><span class="p">,</span> <span class="s1">&#39;true&#39;</span>
 
 
 <span class="k">def</span> <span class="nf">_joy_repr</span><span class="p">(</span><span class="n">thing</span><span class="p">):</span>
-        <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">thing</span><span class="p">,</span> <span class="nb">bool</span><span class="p">):</span>
-                <span class="k">return</span> <span class="n">_JOY_BOOL_LITS</span><span class="p">[</span><span class="n">thing</span><span class="p">]</span>
-        <span class="k">return</span> <span class="nb">repr</span><span class="p">(</span><span class="n">thing</span><span class="p">)</span>
+    <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">thing</span><span class="p">,</span> <span class="nb">bool</span><span class="p">):</span> <span class="k">return</span> <span class="n">JOY_BOOL_LITERALS</span><span class="p">[</span><span class="n">thing</span><span class="p">]</span>
+    <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">thing</span><span class="p">,</span> <span class="n">Snippet</span><span class="p">):</span> <span class="k">return</span> <span class="n">snip_to_string</span><span class="p">(</span><span class="n">thing</span><span class="p">)</span>
+    <span class="k">return</span> <span class="nb">repr</span><span class="p">(</span><span class="n">thing</span><span class="p">)</span>
 
 
 <span class="k">def</span> <span class="nf">_to_string</span><span class="p">(</span><span class="n">stack</span><span class="p">,</span> <span class="n">f</span><span class="p">):</span>
     <span class="k">if</span> <span class="ow">not</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">stack</span><span class="p">,</span> <span class="nb">tuple</span><span class="p">):</span> <span class="k">return</span> <span class="n">_joy_repr</span><span class="p">(</span><span class="n">stack</span><span class="p">)</span>
     <span class="k">if</span> <span class="ow">not</span> <span class="n">stack</span><span class="p">:</span> <span class="k">return</span> <span class="s1">&#39;&#39;</span>  <span class="c1"># shortcut</span>
+    <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">stack</span><span class="p">,</span> <span class="n">Snippet</span><span class="p">):</span> <span class="k">return</span> <span class="n">snip_to_string</span><span class="p">(</span><span class="n">stack</span><span class="p">)</span>
     <span class="k">return</span> <span class="s1">&#39; &#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="nb">map</span><span class="p">(</span><span class="n">_s</span><span class="p">,</span> <span class="n">f</span><span class="p">(</span><span class="n">stack</span><span class="p">)))</span>
 
 
 <span class="n">_s</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">s</span><span class="p">:</span> <span class="p">(</span>
     <span class="s1">&#39;[</span><span class="si">%s</span><span class="s1">]&#39;</span> <span class="o">%</span> <span class="n">expression_to_string</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
         <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">s</span><span class="p">,</span> <span class="nb">tuple</span><span class="p">)</span>
+        <span class="ow">and</span> <span class="ow">not</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">s</span><span class="p">,</span> <span class="n">Snippet</span><span class="p">)</span>
+        <span class="c1"># Is it worth making a non-tuple class for Snippet?</span>
+        <span class="c1"># Doing this check on each tuple seems a bit much.</span>
     <span class="k">else</span> <span class="n">_joy_repr</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
     <span class="p">)</span>
 
@@ -351,7 +356,7 @@
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/_static/basic.css

@@ -66,6 +66,10 @@ div.sphinxsidebar ul {
     list-style: none;
 }
 
+div.sphinxsidebar li {
+	padding-bottom: 0.5em;
+}
+
 div.sphinxsidebar ul ul,
 div.sphinxsidebar ul.want-points {
     margin-left: 20px;

docs/sphinx_docs/_build/html/_static/doctools.js

@@ -4,7 +4,7 @@
  *
  * Sphinx JavaScript utilities for all documentation.
  *
- * :copyright: Copyright 2007-2021 by the Sphinx team, see AUTHORS.
+ * :copyright: Copyright 2007-2022 by the Sphinx team, see AUTHORS.
  * :license: BSD, see LICENSE for details.
  *
  */
@@ -264,6 +264,9 @@ var Documentation = {
   hideSearchWords : function() {
     $('#searchbox .highlight-link').fadeOut(300);
     $('span.highlighted').removeClass('highlighted');
+    var url = new URL(window.location);
+    url.searchParams.delete('highlight');
+    window.history.replaceState({}, '', url);
   },
 
   /**

docs/sphinx_docs/_build/html/_static/language_data.js

@@ -5,7 +5,7 @@
  * This script contains the language-specific data used by searchtools.js,
  * namely the list of stopwords, stemmer, scorer and splitter.
  *
- * :copyright: Copyright 2007-2021 by the Sphinx team, see AUTHORS.
+ * :copyright: Copyright 2007-2022 by the Sphinx team, see AUTHORS.
  * :license: BSD, see LICENSE for details.
  *
  */

docs/sphinx_docs/_build/html/_static/pygments.css

@@ -1,7 +1,7 @@
-pre { line-height: 125%; margin: 0; }
-td.linenos pre { color: #000000; background-color: #f0f0f0; padding-left: 5px; padding-right: 5px; }
-span.linenos { color: #000000; background-color: #f0f0f0; padding-left: 5px; padding-right: 5px; }
-td.linenos pre.special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; }
+pre { line-height: 125%; }
+td.linenos .normal { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; }
+span.linenos { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; }
+td.linenos .special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; }
 span.linenos.special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; }
 .highlight .hll { background-color: #ffffcc }
 .highlight { background: #eeffcc; }

docs/sphinx_docs/_build/html/_static/searchtools.js

@@ -4,7 +4,7 @@
  *
  * Sphinx JavaScript utilities for the full-text search.
  *
- * :copyright: Copyright 2007-2021 by the Sphinx team, see AUTHORS.
+ * :copyright: Copyright 2007-2022 by the Sphinx team, see AUTHORS.
  * :license: BSD, see LICENSE for details.
  *
  */

docs/sphinx_docs/_build/html/genindex.html

@@ -326,8 +326,6 @@
 <h2 id="P">P</h2>
 <table style="width: 100%" class="indextable genindextable"><tr>
   <td style="width: 33%; vertical-align: top;"><ul>
-      <li><a href="library.html#joy.library.parse">parse() (in module joy.library)</a>
-</li>
       <li><a href="parser.html#joy.parser.ParseError">ParseError</a>
 </li>
       <li><a href="stack.html#joy.utils.stack.pick">pick() (in module joy.utils.stack)</a>
@@ -570,7 +568,7 @@
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/index.html

@@ -256,7 +256,7 @@ interesting aspects.  It’s quite a treasure trove.</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/joy.html

@@ -191,7 +191,7 @@ on every iteration, its return value is ignored.</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/lib.html

@@ -1333,7 +1333,7 @@ soley of containers, without strings or numbers or anything else.)</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/Categorical.html

@@ -80,6 +80,7 @@
 <li class="toctree-l2"><a class="reference internal" href="Treestep.html">Treating Trees II: <code class="docutils literal notranslate"><span class="pre">treestep</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="Generator_Programs.html">Using <code class="docutils literal notranslate"><span class="pre">x</span></code> to Generate Values</a></li>
 <li class="toctree-l2"><a class="reference internal" href="Newton-Raphson.html">Newton’s method</a></li>
+<li class="toctree-l2"><a class="reference internal" href="Square_Spiral.html">Square Spiral Example Joy Code</a></li>
 <li class="toctree-l2"><a class="reference internal" href="Zipper.html">Traversing Datastructures with Zippers</a></li>
 <li class="toctree-l2"><a class="reference internal" href="Types.html">The Blissful Elegance of Typing Joy</a></li>
 <li class="toctree-l2"><a class="reference internal" href="TypeChecking.html">Type Checking</a></li>
@@ -130,7 +131,7 @@
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/Derivatives_of_Regular_Expressions.html

@@ -96,15 +96,15 @@ R∘λ = λ∘R = R
 </section>
 <section id="implementation">
 <h2>Implementation<a class="headerlink" href="#implementation" title="Permalink to this headline">¶</a></h2>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">functools</span> <span class="kn">import</span> <span class="n">partial</span> <span class="k">as</span> <span class="n">curry</span>
-<span class="kn">from</span> <span class="nn">itertools</span> <span class="kn">import</span> <span class="n">product</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>from functools import partial as curry
+from itertools import product
 </pre></div>
 </div>
 <section id="and">
 <h3><code class="docutils literal notranslate"><span class="pre">ϕ</span></code> and <code class="docutils literal notranslate"><span class="pre">λ</span></code><a class="headerlink" href="#and" title="Permalink to this headline">¶</a></h3>
 <p>The empty set and the set of just the empty string.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">phi</span> <span class="o">=</span> <span class="nb">frozenset</span><span class="p">()</span>   <span class="c1"># ϕ</span>
-<span class="n">y</span> <span class="o">=</span> <span class="nb">frozenset</span><span class="p">({</span><span class="s1">&#39;&#39;</span><span class="p">})</span> <span class="c1"># λ</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>phi = frozenset()   # ϕ
+y = frozenset({&#39;&#39;}) # λ
 </pre></div>
 </div>
 </section>
@@ -115,7 +115,7 @@ illustrate the algorithm and because you can represent any other
 alphabet with two symbols (if you had to.)</p>
 <p>I chose the names <code class="docutils literal notranslate"><span class="pre">O</span></code> and <code class="docutils literal notranslate"><span class="pre">l</span></code> (uppercase “o” and lowercase “L”) to
 look like <code class="docutils literal notranslate"><span class="pre">0</span></code> and <code class="docutils literal notranslate"><span class="pre">1</span></code> (zero and one) respectively.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">syms</span> <span class="o">=</span> <span class="n">O</span><span class="p">,</span> <span class="n">l</span> <span class="o">=</span> <span class="nb">frozenset</span><span class="p">({</span><span class="s1">&#39;0&#39;</span><span class="p">}),</span> <span class="nb">frozenset</span><span class="p">({</span><span class="s1">&#39;1&#39;</span><span class="p">})</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>syms = O, l = frozenset({&#39;0&#39;}), frozenset({&#39;1&#39;})
 </pre></div>
 </div>
 </section>
@@ -133,7 +133,7 @@ expression</em> is one of:</p>
 </pre></div>
 </div>
 <p>Where <code class="docutils literal notranslate"><span class="pre">R</span></code> and <code class="docutils literal notranslate"><span class="pre">S</span></code> stand for <em>regular expressions</em>.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">AND</span><span class="p">,</span> <span class="n">CONS</span><span class="p">,</span> <span class="n">KSTAR</span><span class="p">,</span> <span class="n">NOT</span><span class="p">,</span> <span class="n">OR</span> <span class="o">=</span> <span class="s1">&#39;and cons * not or&#39;</span><span class="o">.</span><span class="n">split</span><span class="p">()</span>  <span class="c1"># Tags are just strings.</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>AND, CONS, KSTAR, NOT, OR = &#39;and cons * not or&#39;.split()  # Tags are just strings.
 </pre></div>
 </div>
 <p>Because they are formed of <code class="docutils literal notranslate"><span class="pre">frozenset</span></code>, <code class="docutils literal notranslate"><span class="pre">tuple</span></code> and <code class="docutils literal notranslate"><span class="pre">str</span></code> objects
@@ -141,36 +141,36 @@ only, these datastructures are immutable.</p>
 </section>
 <section id="string-representation-of-re-datastructures">
 <h3>String Representation of RE Datastructures<a class="headerlink" href="#string-representation-of-re-datastructures" title="Permalink to this headline">¶</a></h3>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">stringy</span><span class="p">(</span><span class="n">re</span><span class="p">):</span>
-    <span class="sd">&#39;&#39;&#39;</span>
-<span class="sd">    Return a nice string repr for a regular expression datastructure.</span>
-<span class="sd">    &#39;&#39;&#39;</span>
-    <span class="k">if</span> <span class="n">re</span> <span class="o">==</span> <span class="n">I</span><span class="p">:</span> <span class="k">return</span> <span class="s1">&#39;.&#39;</span>
-    <span class="k">if</span> <span class="n">re</span> <span class="ow">in</span> <span class="n">syms</span><span class="p">:</span> <span class="k">return</span> <span class="nb">next</span><span class="p">(</span><span class="nb">iter</span><span class="p">(</span><span class="n">re</span><span class="p">))</span>
-    <span class="k">if</span> <span class="n">re</span> <span class="o">==</span> <span class="n">y</span><span class="p">:</span> <span class="k">return</span> <span class="s1">&#39;^&#39;</span>
-    <span class="k">if</span> <span class="n">re</span> <span class="o">==</span> <span class="n">phi</span><span class="p">:</span> <span class="k">return</span> <span class="s1">&#39;X&#39;</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>def stringy(re):
+    &#39;&#39;&#39;
+    Return a nice string repr for a regular expression datastructure.
+    &#39;&#39;&#39;
+    if re == I: return &#39;.&#39;
+    if re in syms: return next(iter(re))
+    if re == y: return &#39;^&#39;
+    if re == phi: return &#39;X&#39;
 
-    <span class="k">assert</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">re</span><span class="p">,</span> <span class="nb">tuple</span><span class="p">),</span> <span class="nb">repr</span><span class="p">(</span><span class="n">re</span><span class="p">)</span>
-    <span class="n">tag</span> <span class="o">=</span> <span class="n">re</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+    assert isinstance(re, tuple), repr(re)
+    tag = re[0]
 
-    <span class="k">if</span> <span class="n">tag</span> <span class="o">==</span> <span class="n">KSTAR</span><span class="p">:</span>
-        <span class="n">body</span> <span class="o">=</span> <span class="n">stringy</span><span class="p">(</span><span class="n">re</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
-        <span class="k">if</span> <span class="ow">not</span> <span class="n">body</span><span class="p">:</span> <span class="k">return</span> <span class="n">body</span>
-        <span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">body</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">1</span><span class="p">:</span> <span class="k">return</span> <span class="s1">&#39;(&#39;</span> <span class="o">+</span> <span class="n">body</span> <span class="o">+</span> <span class="s2">&quot;)*&quot;</span>
-        <span class="k">return</span> <span class="n">body</span> <span class="o">+</span> <span class="s1">&#39;*&#39;</span>
+    if tag == KSTAR:
+        body = stringy(re[1])
+        if not body: return body
+        if len(body) &gt; 1: return &#39;(&#39; + body + &quot;)*&quot;
+        return body + &#39;*&#39;
 
-    <span class="k">if</span> <span class="n">tag</span> <span class="o">==</span> <span class="n">NOT</span><span class="p">:</span>
-        <span class="n">body</span> <span class="o">=</span> <span class="n">stringy</span><span class="p">(</span><span class="n">re</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
-        <span class="k">if</span> <span class="ow">not</span> <span class="n">body</span><span class="p">:</span> <span class="k">return</span> <span class="n">body</span>
-        <span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">body</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">1</span><span class="p">:</span> <span class="k">return</span> <span class="s1">&#39;(&#39;</span> <span class="o">+</span> <span class="n">body</span> <span class="o">+</span> <span class="s2">&quot;)&#39;&quot;</span>
-        <span class="k">return</span> <span class="n">body</span> <span class="o">+</span> <span class="s2">&quot;&#39;&quot;</span>
+    if tag == NOT:
+        body = stringy(re[1])
+        if not body: return body
+        if len(body) &gt; 1: return &#39;(&#39; + body + &quot;)&#39;&quot;
+        return body + &quot;&#39;&quot;
 
-    <span class="n">r</span><span class="p">,</span> <span class="n">s</span> <span class="o">=</span> <span class="n">stringy</span><span class="p">(</span><span class="n">re</span><span class="p">[</span><span class="mi">1</span><span class="p">]),</span> <span class="n">stringy</span><span class="p">(</span><span class="n">re</span><span class="p">[</span><span class="mi">2</span><span class="p">])</span>
-    <span class="k">if</span> <span class="n">tag</span> <span class="o">==</span> <span class="n">CONS</span><span class="p">:</span> <span class="k">return</span> <span class="n">r</span> <span class="o">+</span> <span class="n">s</span>
-    <span class="k">if</span> <span class="n">tag</span> <span class="o">==</span> <span class="n">OR</span><span class="p">:</span>   <span class="k">return</span> <span class="s1">&#39;</span><span class="si">%s</span><span class="s1"> | </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="p">(</span><span class="n">r</span><span class="p">,</span> <span class="n">s</span><span class="p">)</span>
-    <span class="k">if</span> <span class="n">tag</span> <span class="o">==</span> <span class="n">AND</span><span class="p">:</span>  <span class="k">return</span> <span class="s1">&#39;(</span><span class="si">%s</span><span class="s1">) &amp; (</span><span class="si">%s</span><span class="s1">)&#39;</span> <span class="o">%</span> <span class="p">(</span><span class="n">r</span><span class="p">,</span> <span class="n">s</span><span class="p">)</span>
+    r, s = stringy(re[1]), stringy(re[2])
+    if tag == CONS: return r + s
+    if tag == OR:   return &#39;%s | %s&#39; % (r, s)
+    if tag == AND:  return &#39;(%s) &amp; (%s)&#39; % (r, s)
 
-    <span class="k">raise</span> <span class="ne">ValueError</span>
+    raise ValueError
 </pre></div>
 </div>
 </section>
@@ -180,10 +180,10 @@ only, these datastructures are immutable.</p>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">I</span> <span class="o">=</span> <span class="p">(</span><span class="mi">0</span><span class="o">|</span><span class="mi">1</span><span class="p">)</span><span class="o">*</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">I</span> <span class="o">=</span> <span class="p">(</span><span class="n">KSTAR</span><span class="p">,</span> <span class="p">(</span><span class="n">OR</span><span class="p">,</span> <span class="n">O</span><span class="p">,</span> <span class="n">l</span><span class="p">))</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>I = (KSTAR, (OR, O, l))
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="nb">print</span> <span class="n">stringy</span><span class="p">(</span><span class="n">I</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>print stringy(I)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="o">.</span>
@@ -193,57 +193,57 @@ only, these datastructures are immutable.</p>
 <section id="id1">
 <h3><code class="docutils literal notranslate"><span class="pre">(.111.)</span> <span class="pre">&amp;</span> <span class="pre">(.01</span> <span class="pre">+</span> <span class="pre">11*)'</span></code><a class="headerlink" href="#id1" title="Permalink to this headline">¶</a></h3>
 <p>The example expression from Brzozowski:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">(</span><span class="o">.</span><span class="mf">111.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">(</span><span class="o">.</span><span class="mi">01</span> <span class="o">+</span> <span class="mi">11</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">(</span><span class="mf">.111</span><span class="o">.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">(</span><span class="mf">.01</span> <span class="o">+</span> <span class="mi">11</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;</span>
    <span class="n">a</span>    <span class="o">&amp;</span>  <span class="p">(</span><span class="n">b</span>  <span class="o">+</span>  <span class="n">c</span><span class="p">)</span><span class="s1">&#39;</span>
 </pre></div>
 </div>
 <p>Note that it contains one of everything.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">a</span> <span class="o">=</span> <span class="p">(</span><span class="n">CONS</span><span class="p">,</span> <span class="n">I</span><span class="p">,</span> <span class="p">(</span><span class="n">CONS</span><span class="p">,</span> <span class="n">l</span><span class="p">,</span> <span class="p">(</span><span class="n">CONS</span><span class="p">,</span> <span class="n">l</span><span class="p">,</span> <span class="p">(</span><span class="n">CONS</span><span class="p">,</span> <span class="n">l</span><span class="p">,</span> <span class="n">I</span><span class="p">))))</span>
-<span class="n">b</span> <span class="o">=</span> <span class="p">(</span><span class="n">CONS</span><span class="p">,</span> <span class="n">I</span><span class="p">,</span> <span class="p">(</span><span class="n">CONS</span><span class="p">,</span> <span class="n">O</span><span class="p">,</span> <span class="n">l</span><span class="p">))</span>
-<span class="n">c</span> <span class="o">=</span> <span class="p">(</span><span class="n">CONS</span><span class="p">,</span> <span class="n">l</span><span class="p">,</span> <span class="p">(</span><span class="n">KSTAR</span><span class="p">,</span> <span class="n">l</span><span class="p">))</span>
-<span class="n">it</span> <span class="o">=</span> <span class="p">(</span><span class="n">AND</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="p">(</span><span class="n">NOT</span><span class="p">,</span> <span class="p">(</span><span class="n">OR</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">c</span><span class="p">)))</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>a = (CONS, I, (CONS, l, (CONS, l, (CONS, l, I))))
+b = (CONS, I, (CONS, O, l))
+c = (CONS, l, (KSTAR, l))
+it = (AND, a, (NOT, (OR, b, c)))
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="nb">print</span> <span class="n">stringy</span><span class="p">(</span><span class="n">it</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>print stringy(it)
 </pre></div>
 </div>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">(</span><span class="o">.</span><span class="mf">111.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">11</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">(</span><span class="mf">.111</span><span class="o">.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">11</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
 </pre></div>
 </div>
 </section>
 <section id="nully">
 <h3><code class="docutils literal notranslate"><span class="pre">nully()</span></code><a class="headerlink" href="#nully" title="Permalink to this headline">¶</a></h3>
 <p>Let’s get that auxiliary predicate function <code class="docutils literal notranslate"><span class="pre">δ</span></code> out of the way.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">nully</span><span class="p">(</span><span class="n">R</span><span class="p">):</span>
-    <span class="sd">&#39;&#39;&#39;</span>
-<span class="sd">    δ - Return λ if λ ⊆ R otherwise ϕ.</span>
-<span class="sd">    &#39;&#39;&#39;</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>def nully(R):
+    &#39;&#39;&#39;
+    δ - Return λ if λ ⊆ R otherwise ϕ.
+    &#39;&#39;&#39;
 
-    <span class="c1"># δ(a) → ϕ</span>
-    <span class="c1"># δ(ϕ) → ϕ</span>
-    <span class="k">if</span> <span class="n">R</span> <span class="ow">in</span> <span class="n">syms</span> <span class="ow">or</span> <span class="n">R</span> <span class="o">==</span> <span class="n">phi</span><span class="p">:</span>
-        <span class="k">return</span> <span class="n">phi</span>
+    # δ(a) → ϕ
+    # δ(ϕ) → ϕ
+    if R in syms or R == phi:
+        return phi
 
-    <span class="c1"># δ(λ) → λ</span>
-    <span class="k">if</span> <span class="n">R</span> <span class="o">==</span> <span class="n">y</span><span class="p">:</span>
-        <span class="k">return</span> <span class="n">y</span>
+    # δ(λ) → λ
+    if R == y:
+        return y
 
-    <span class="n">tag</span> <span class="o">=</span> <span class="n">R</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+    tag = R[0]
 
-    <span class="c1"># δ(R*) → λ</span>
-    <span class="k">if</span> <span class="n">tag</span> <span class="o">==</span> <span class="n">KSTAR</span><span class="p">:</span>
-        <span class="k">return</span> <span class="n">y</span>
+    # δ(R*) → λ
+    if tag == KSTAR:
+        return y
 
-    <span class="c1"># δ(¬R) δ(R)≟ϕ → λ</span>
-    <span class="c1"># δ(¬R) δ(R)≟λ → ϕ</span>
-    <span class="k">if</span> <span class="n">tag</span> <span class="o">==</span> <span class="n">NOT</span><span class="p">:</span>
-        <span class="k">return</span> <span class="n">phi</span> <span class="k">if</span> <span class="n">nully</span><span class="p">(</span><span class="n">R</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span> <span class="k">else</span> <span class="n">y</span>
+    # δ(¬R) δ(R)≟ϕ → λ
+    # δ(¬R) δ(R)≟λ → ϕ
+    if tag == NOT:
+        return phi if nully(R[1]) else y
 
-    <span class="c1"># δ(R∘S) → δ(R) ∧ δ(S)</span>
-    <span class="c1"># δ(R ∧ S) → δ(R) ∧ δ(S)</span>
-    <span class="c1"># δ(R ∨ S) → δ(R) ∨ δ(S)</span>
-    <span class="n">r</span><span class="p">,</span> <span class="n">s</span> <span class="o">=</span> <span class="n">nully</span><span class="p">(</span><span class="n">R</span><span class="p">[</span><span class="mi">1</span><span class="p">]),</span> <span class="n">nully</span><span class="p">(</span><span class="n">R</span><span class="p">[</span><span class="mi">2</span><span class="p">])</span>
-    <span class="k">return</span> <span class="n">r</span> <span class="o">&amp;</span> <span class="n">s</span> <span class="k">if</span> <span class="n">tag</span> <span class="ow">in</span> <span class="p">{</span><span class="n">AND</span><span class="p">,</span> <span class="n">CONS</span><span class="p">}</span> <span class="k">else</span> <span class="n">r</span> <span class="o">|</span> <span class="n">s</span>
+    # δ(R∘S) → δ(R) ∧ δ(S)
+    # δ(R ∧ S) → δ(R) ∧ δ(S)
+    # δ(R ∨ S) → δ(R) ∨ δ(S)
+    r, s = nully(R[1]), nully(R[2])
+    return r &amp; s if tag in {AND, CONS} else r | s
 </pre></div>
 </div>
 </section>
@@ -252,71 +252,71 @@ only, these datastructures are immutable.</p>
 <p>This is the straightforward version with no “compaction”. It works fine,
 but does waaaay too much work because the expressions grow each
 derivation.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">D</span><span class="p">(</span><span class="n">symbol</span><span class="p">):</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>def D(symbol):
 
-    <span class="k">def</span> <span class="nf">derv</span><span class="p">(</span><span class="n">R</span><span class="p">):</span>
+    def derv(R):
 
-        <span class="c1"># ∂a(a) → λ</span>
-        <span class="k">if</span> <span class="n">R</span> <span class="o">==</span> <span class="p">{</span><span class="n">symbol</span><span class="p">}:</span>
-            <span class="k">return</span> <span class="n">y</span>
+        # ∂a(a) → λ
+        if R == {symbol}:
+            return y
 
-        <span class="c1"># ∂a(λ) → ϕ</span>
-        <span class="c1"># ∂a(ϕ) → ϕ</span>
-        <span class="c1"># ∂a(¬a) → ϕ</span>
-        <span class="k">if</span> <span class="n">R</span> <span class="o">==</span> <span class="n">y</span> <span class="ow">or</span> <span class="n">R</span> <span class="o">==</span> <span class="n">phi</span> <span class="ow">or</span> <span class="n">R</span> <span class="ow">in</span> <span class="n">syms</span><span class="p">:</span>
-            <span class="k">return</span> <span class="n">phi</span>
+        # ∂a(λ) → ϕ
+        # ∂a(ϕ) → ϕ
+        # ∂a(¬a) → ϕ
+        if R == y or R == phi or R in syms:
+            return phi
 
-        <span class="n">tag</span> <span class="o">=</span> <span class="n">R</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+        tag = R[0]
 
-        <span class="c1"># ∂a(R*) → ∂a(R)∘R*</span>
-        <span class="k">if</span> <span class="n">tag</span> <span class="o">==</span> <span class="n">KSTAR</span><span class="p">:</span>
-            <span class="k">return</span> <span class="p">(</span><span class="n">CONS</span><span class="p">,</span> <span class="n">derv</span><span class="p">(</span><span class="n">R</span><span class="p">[</span><span class="mi">1</span><span class="p">]),</span> <span class="n">R</span><span class="p">)</span>
+        # ∂a(R*) → ∂a(R)∘R*
+        if tag == KSTAR:
+            return (CONS, derv(R[1]), R)
 
-        <span class="c1"># ∂a(¬R) → ¬∂a(R)</span>
-        <span class="k">if</span> <span class="n">tag</span> <span class="o">==</span> <span class="n">NOT</span><span class="p">:</span>
-            <span class="k">return</span> <span class="p">(</span><span class="n">NOT</span><span class="p">,</span> <span class="n">derv</span><span class="p">(</span><span class="n">R</span><span class="p">[</span><span class="mi">1</span><span class="p">]))</span>
+        # ∂a(¬R) → ¬∂a(R)
+        if tag == NOT:
+            return (NOT, derv(R[1]))
 
-        <span class="n">r</span><span class="p">,</span> <span class="n">s</span> <span class="o">=</span> <span class="n">R</span><span class="p">[</span><span class="mi">1</span><span class="p">:]</span>
+        r, s = R[1:]
 
-        <span class="c1"># ∂a(R∘S) → ∂a(R)∘S ∨ δ(R)∘∂a(S)</span>
-        <span class="k">if</span> <span class="n">tag</span> <span class="o">==</span> <span class="n">CONS</span><span class="p">:</span>
-            <span class="n">A</span> <span class="o">=</span> <span class="p">(</span><span class="n">CONS</span><span class="p">,</span> <span class="n">derv</span><span class="p">(</span><span class="n">r</span><span class="p">),</span> <span class="n">s</span><span class="p">)</span>  <span class="c1"># A = ∂a(R)∘S</span>
-            <span class="c1"># A ∨ δ(R) ∘ ∂a(S)</span>
-            <span class="c1"># A ∨  λ   ∘ ∂a(S) → A ∨ ∂a(S)</span>
-            <span class="c1"># A ∨  ϕ   ∘ ∂a(S) → A ∨ ϕ → A</span>
-            <span class="k">return</span> <span class="p">(</span><span class="n">OR</span><span class="p">,</span> <span class="n">A</span><span class="p">,</span> <span class="n">derv</span><span class="p">(</span><span class="n">s</span><span class="p">))</span> <span class="k">if</span> <span class="n">nully</span><span class="p">(</span><span class="n">r</span><span class="p">)</span> <span class="k">else</span> <span class="n">A</span>
+        # ∂a(R∘S) → ∂a(R)∘S ∨ δ(R)∘∂a(S)
+        if tag == CONS:
+            A = (CONS, derv(r), s)  # A = ∂a(R)∘S
+            # A ∨ δ(R) ∘ ∂a(S)
+            # A ∨  λ   ∘ ∂a(S) → A ∨ ∂a(S)
+            # A ∨  ϕ   ∘ ∂a(S) → A ∨ ϕ → A
+            return (OR, A, derv(s)) if nully(r) else A
 
-        <span class="c1"># ∂a(R ∧ S) → ∂a(R) ∧ ∂a(S)</span>
-        <span class="c1"># ∂a(R ∨ S) → ∂a(R) ∨ ∂a(S)</span>
-        <span class="k">return</span> <span class="p">(</span><span class="n">tag</span><span class="p">,</span> <span class="n">derv</span><span class="p">(</span><span class="n">r</span><span class="p">),</span> <span class="n">derv</span><span class="p">(</span><span class="n">s</span><span class="p">))</span>
+        # ∂a(R ∧ S) → ∂a(R) ∧ ∂a(S)
+        # ∂a(R ∨ S) → ∂a(R) ∨ ∂a(S)
+        return (tag, derv(r), derv(s))
 
-    <span class="k">return</span> <span class="n">derv</span>
+    return derv
 </pre></div>
 </div>
 </section>
 <section id="compaction-rules">
 <h3>Compaction Rules<a class="headerlink" href="#compaction-rules" title="Permalink to this headline">¶</a></h3>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">_compaction_rule</span><span class="p">(</span><span class="n">relation</span><span class="p">,</span> <span class="n">one</span><span class="p">,</span> <span class="n">zero</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">):</span>
-    <span class="k">return</span> <span class="p">(</span>
-        <span class="n">b</span> <span class="k">if</span> <span class="n">a</span> <span class="o">==</span> <span class="n">one</span> <span class="k">else</span>  <span class="c1"># R*1 = 1*R = R</span>
-        <span class="n">a</span> <span class="k">if</span> <span class="n">b</span> <span class="o">==</span> <span class="n">one</span> <span class="k">else</span>
-        <span class="n">zero</span> <span class="k">if</span> <span class="n">a</span> <span class="o">==</span> <span class="n">zero</span> <span class="ow">or</span> <span class="n">b</span> <span class="o">==</span> <span class="n">zero</span> <span class="k">else</span>  <span class="c1"># R*0 = 0*R = 0</span>
-        <span class="p">(</span><span class="n">relation</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">)</span>
-        <span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>def _compaction_rule(relation, one, zero, a, b):
+    return (
+        b if a == one else  # R*1 = 1*R = R
+        a if b == one else
+        zero if a == zero or b == zero else  # R*0 = 0*R = 0
+        (relation, a, b)
+        )
 </pre></div>
 </div>
 <p>An elegant symmetry.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="c1"># R ∧ I = I ∧ R = R</span>
-<span class="c1"># R ∧ ϕ = ϕ ∧ R = ϕ</span>
-<span class="n">_and</span> <span class="o">=</span> <span class="n">curry</span><span class="p">(</span><span class="n">_compaction_rule</span><span class="p">,</span> <span class="n">AND</span><span class="p">,</span> <span class="n">I</span><span class="p">,</span> <span class="n">phi</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span># R ∧ I = I ∧ R = R
+# R ∧ ϕ = ϕ ∧ R = ϕ
+_and = curry(_compaction_rule, AND, I, phi)
 
-<span class="c1"># R ∨ ϕ = ϕ ∨ R = R</span>
-<span class="c1"># R ∨ I = I ∨ R = I</span>
-<span class="n">_or</span> <span class="o">=</span> <span class="n">curry</span><span class="p">(</span><span class="n">_compaction_rule</span><span class="p">,</span> <span class="n">OR</span><span class="p">,</span> <span class="n">phi</span><span class="p">,</span> <span class="n">I</span><span class="p">)</span>
+# R ∨ ϕ = ϕ ∨ R = R
+# R ∨ I = I ∨ R = I
+_or = curry(_compaction_rule, OR, phi, I)
 
-<span class="c1"># R∘λ = λ∘R = R</span>
-<span class="c1"># R∘ϕ = ϕ∘R = ϕ</span>
-<span class="n">_cons</span> <span class="o">=</span> <span class="n">curry</span><span class="p">(</span><span class="n">_compaction_rule</span><span class="p">,</span> <span class="n">CONS</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">phi</span><span class="p">)</span>
+# R∘λ = λ∘R = R
+# R∘ϕ = ϕ∘R = ϕ
+_cons = curry(_compaction_rule, CONS, y, phi)
 </pre></div>
 </div>
 </section>
@@ -325,21 +325,21 @@ derivation.</p>
 <p>We can save re-processing by remembering results we have already
 computed. RE datastructures are immutable and the <code class="docutils literal notranslate"><span class="pre">derv()</span></code> functions
 are <em>pure</em> so this is fine.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="k">class</span> <span class="nc">Memo</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>class Memo(object):
 
-    <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">f</span><span class="p">):</span>
-        <span class="bp">self</span><span class="o">.</span><span class="n">f</span> <span class="o">=</span> <span class="n">f</span>
-        <span class="bp">self</span><span class="o">.</span><span class="n">calls</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">hits</span> <span class="o">=</span> <span class="mi">0</span>
-        <span class="bp">self</span><span class="o">.</span><span class="n">mem</span> <span class="o">=</span> <span class="p">{}</span>
+    def __init__(self, f):
+        self.f = f
+        self.calls = self.hits = 0
+        self.mem = {}
 
-    <span class="k">def</span> <span class="fm">__call__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">key</span><span class="p">):</span>
-        <span class="bp">self</span><span class="o">.</span><span class="n">calls</span> <span class="o">+=</span> <span class="mi">1</span>
-        <span class="k">try</span><span class="p">:</span>
-            <span class="n">result</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">mem</span><span class="p">[</span><span class="n">key</span><span class="p">]</span>
-            <span class="bp">self</span><span class="o">.</span><span class="n">hits</span> <span class="o">+=</span> <span class="mi">1</span>
-        <span class="k">except</span> <span class="ne">KeyError</span><span class="p">:</span>
-            <span class="n">result</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">mem</span><span class="p">[</span><span class="n">key</span><span class="p">]</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">f</span><span class="p">(</span><span class="n">key</span><span class="p">)</span>
-        <span class="k">return</span> <span class="n">result</span>
+    def __call__(self, key):
+        self.calls += 1
+        try:
+            result = self.mem[key]
+            self.hits += 1
+        except KeyError:
+            result = self.mem[key] = self.f(key)
+        return result
 </pre></div>
 </div>
 </section>
@@ -347,47 +347,47 @@ are <em>pure</em> so this is fine.</p>
 <h3>With “Compaction”<a class="headerlink" href="#with-compaction" title="Permalink to this headline">¶</a></h3>
 <p>This version uses the rules above to perform compaction. It keeps the
 expressions from growing too large.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">D_compaction</span><span class="p">(</span><span class="n">symbol</span><span class="p">):</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>def D_compaction(symbol):
 
-    <span class="nd">@Memo</span>
-    <span class="k">def</span> <span class="nf">derv</span><span class="p">(</span><span class="n">R</span><span class="p">):</span>
+    @Memo
+    def derv(R):
 
-        <span class="c1"># ∂a(a) → λ</span>
-        <span class="k">if</span> <span class="n">R</span> <span class="o">==</span> <span class="p">{</span><span class="n">symbol</span><span class="p">}:</span>
-            <span class="k">return</span> <span class="n">y</span>
+        # ∂a(a) → λ
+        if R == {symbol}:
+            return y
 
-        <span class="c1"># ∂a(λ) → ϕ</span>
-        <span class="c1"># ∂a(ϕ) → ϕ</span>
-        <span class="c1"># ∂a(¬a) → ϕ</span>
-        <span class="k">if</span> <span class="n">R</span> <span class="o">==</span> <span class="n">y</span> <span class="ow">or</span> <span class="n">R</span> <span class="o">==</span> <span class="n">phi</span> <span class="ow">or</span> <span class="n">R</span> <span class="ow">in</span> <span class="n">syms</span><span class="p">:</span>
-            <span class="k">return</span> <span class="n">phi</span>
+        # ∂a(λ) → ϕ
+        # ∂a(ϕ) → ϕ
+        # ∂a(¬a) → ϕ
+        if R == y or R == phi or R in syms:
+            return phi
 
-        <span class="n">tag</span> <span class="o">=</span> <span class="n">R</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
+        tag = R[0]
 
-        <span class="c1"># ∂a(R*) → ∂a(R)∘R*</span>
-        <span class="k">if</span> <span class="n">tag</span> <span class="o">==</span> <span class="n">KSTAR</span><span class="p">:</span>
-            <span class="k">return</span> <span class="n">_cons</span><span class="p">(</span><span class="n">derv</span><span class="p">(</span><span class="n">R</span><span class="p">[</span><span class="mi">1</span><span class="p">]),</span> <span class="n">R</span><span class="p">)</span>
+        # ∂a(R*) → ∂a(R)∘R*
+        if tag == KSTAR:
+            return _cons(derv(R[1]), R)
 
-        <span class="c1"># ∂a(¬R) → ¬∂a(R)</span>
-        <span class="k">if</span> <span class="n">tag</span> <span class="o">==</span> <span class="n">NOT</span><span class="p">:</span>
-            <span class="k">return</span> <span class="p">(</span><span class="n">NOT</span><span class="p">,</span> <span class="n">derv</span><span class="p">(</span><span class="n">R</span><span class="p">[</span><span class="mi">1</span><span class="p">]))</span>
+        # ∂a(¬R) → ¬∂a(R)
+        if tag == NOT:
+            return (NOT, derv(R[1]))
 
-        <span class="n">r</span><span class="p">,</span> <span class="n">s</span> <span class="o">=</span> <span class="n">R</span><span class="p">[</span><span class="mi">1</span><span class="p">:]</span>
+        r, s = R[1:]
 
-        <span class="c1"># ∂a(R∘S) → ∂a(R)∘S ∨ δ(R)∘∂a(S)</span>
-        <span class="k">if</span> <span class="n">tag</span> <span class="o">==</span> <span class="n">CONS</span><span class="p">:</span>
-            <span class="n">A</span> <span class="o">=</span> <span class="n">_cons</span><span class="p">(</span><span class="n">derv</span><span class="p">(</span><span class="n">r</span><span class="p">),</span> <span class="n">s</span><span class="p">)</span>  <span class="c1"># A = ∂a(r)∘s</span>
-            <span class="c1"># A ∨ δ(R) ∘ ∂a(S)</span>
-            <span class="c1"># A ∨  λ   ∘ ∂a(S) → A ∨ ∂a(S)</span>
-            <span class="c1"># A ∨  ϕ   ∘ ∂a(S) → A ∨ ϕ → A</span>
-            <span class="k">return</span> <span class="n">_or</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">derv</span><span class="p">(</span><span class="n">s</span><span class="p">))</span> <span class="k">if</span> <span class="n">nully</span><span class="p">(</span><span class="n">r</span><span class="p">)</span> <span class="k">else</span> <span class="n">A</span>
+        # ∂a(R∘S) → ∂a(R)∘S ∨ δ(R)∘∂a(S)
+        if tag == CONS:
+            A = _cons(derv(r), s)  # A = ∂a(r)∘s
+            # A ∨ δ(R) ∘ ∂a(S)
+            # A ∨  λ   ∘ ∂a(S) → A ∨ ∂a(S)
+            # A ∨  ϕ   ∘ ∂a(S) → A ∨ ϕ → A
+            return _or(A, derv(s)) if nully(r) else A
 
-        <span class="c1"># ∂a(R ∧ S) → ∂a(R) ∧ ∂a(S)</span>
-        <span class="c1"># ∂a(R ∨ S) → ∂a(R) ∨ ∂a(S)</span>
-        <span class="n">dr</span><span class="p">,</span> <span class="n">ds</span> <span class="o">=</span> <span class="n">derv</span><span class="p">(</span><span class="n">r</span><span class="p">),</span> <span class="n">derv</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
-        <span class="k">return</span> <span class="n">_and</span><span class="p">(</span><span class="n">dr</span><span class="p">,</span> <span class="n">ds</span><span class="p">)</span> <span class="k">if</span> <span class="n">tag</span> <span class="o">==</span> <span class="n">AND</span> <span class="k">else</span> <span class="n">_or</span><span class="p">(</span><span class="n">dr</span><span class="p">,</span> <span class="n">ds</span><span class="p">)</span>
+        # ∂a(R ∧ S) → ∂a(R) ∧ ∂a(S)
+        # ∂a(R ∨ S) → ∂a(R) ∨ ∂a(S)
+        dr, ds = derv(r), derv(s)
+        return _and(dr, ds) if tag == AND else _or(dr, ds)
 
-    <span class="k">return</span> <span class="n">derv</span>
+    return derv
 </pre></div>
 </div>
 </section>
@@ -395,59 +395,59 @@ expressions from growing too large.</p>
 <section id="lets-try-it-out">
 <h2>Let’s try it out…<a class="headerlink" href="#lets-try-it-out" title="Permalink to this headline">¶</a></h2>
 <p>(FIXME: redo.)</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">o</span><span class="p">,</span> <span class="n">z</span> <span class="o">=</span> <span class="n">D_compaction</span><span class="p">(</span><span class="s1">&#39;0&#39;</span><span class="p">),</span> <span class="n">D_compaction</span><span class="p">(</span><span class="s1">&#39;1&#39;</span><span class="p">)</span>
-<span class="n">REs</span> <span class="o">=</span> <span class="nb">set</span><span class="p">()</span>
-<span class="n">N</span> <span class="o">=</span> <span class="mi">5</span>
-<span class="n">names</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="n">product</span><span class="p">(</span><span class="o">*</span><span class="p">(</span><span class="n">N</span> <span class="o">*</span> <span class="p">[(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">)])))</span>
-<span class="n">dervs</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="n">product</span><span class="p">(</span><span class="o">*</span><span class="p">(</span><span class="n">N</span> <span class="o">*</span> <span class="p">[(</span><span class="n">o</span><span class="p">,</span> <span class="n">z</span><span class="p">)])))</span>
-<span class="k">for</span> <span class="n">name</span><span class="p">,</span> <span class="n">ds</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="n">names</span><span class="p">,</span> <span class="n">dervs</span><span class="p">):</span>
-    <span class="n">R</span> <span class="o">=</span> <span class="n">it</span>
-    <span class="n">ds</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="n">ds</span><span class="p">)</span>
-    <span class="k">while</span> <span class="n">ds</span><span class="p">:</span>
-        <span class="n">R</span> <span class="o">=</span> <span class="n">ds</span><span class="o">.</span><span class="n">pop</span><span class="p">()(</span><span class="n">R</span><span class="p">)</span>
-        <span class="k">if</span> <span class="n">R</span> <span class="o">==</span> <span class="n">phi</span> <span class="ow">or</span> <span class="n">R</span> <span class="o">==</span> <span class="n">I</span><span class="p">:</span>
-            <span class="k">break</span>
-        <span class="n">REs</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>o, z = D_compaction(&#39;0&#39;), D_compaction(&#39;1&#39;)
+REs = set()
+N = 5
+names = list(product(*(N * [(0, 1)])))
+dervs = list(product(*(N * [(o, z)])))
+for name, ds in zip(names, dervs):
+    R = it
+    ds = list(ds)
+    while ds:
+        R = ds.pop()(R)
+        if R == phi or R == I:
+            break
+        REs.add(R)
 
-<span class="nb">print</span> <span class="n">stringy</span><span class="p">(</span><span class="n">it</span><span class="p">)</span> <span class="p">;</span> <span class="nb">print</span>
-<span class="nb">print</span> <span class="n">o</span><span class="o">.</span><span class="n">hits</span><span class="p">,</span> <span class="s1">&#39;/&#39;</span><span class="p">,</span> <span class="n">o</span><span class="o">.</span><span class="n">calls</span>
-<span class="nb">print</span> <span class="n">z</span><span class="o">.</span><span class="n">hits</span><span class="p">,</span> <span class="s1">&#39;/&#39;</span><span class="p">,</span> <span class="n">z</span><span class="o">.</span><span class="n">calls</span>
-<span class="nb">print</span>
-<span class="k">for</span> <span class="n">s</span> <span class="ow">in</span> <span class="nb">sorted</span><span class="p">(</span><span class="nb">map</span><span class="p">(</span><span class="n">stringy</span><span class="p">,</span> <span class="n">REs</span><span class="p">),</span> <span class="n">key</span><span class="o">=</span><span class="k">lambda</span> <span class="n">n</span><span class="p">:</span> <span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">n</span><span class="p">),</span> <span class="n">n</span><span class="p">)):</span>
-    <span class="nb">print</span> <span class="n">s</span>
+print stringy(it) ; print
+print o.hits, &#39;/&#39;, o.calls
+print z.hits, &#39;/&#39;, z.calls
+print
+for s in sorted(map(stringy, REs), key=lambda n: (len(n), n)):
+    print s
 </pre></div>
 </div>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">(</span><span class="o">.</span><span class="mf">111.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">11</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">(</span><span class="mf">.111</span><span class="o">.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">11</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
 
 <span class="mi">92</span> <span class="o">/</span> <span class="mi">122</span>
 <span class="mi">92</span> <span class="o">/</span> <span class="mi">122</span>
 
-<span class="p">(</span><span class="o">.</span><span class="mi">01</span><span class="p">)</span><span class="s1">&#39;</span>
-<span class="p">(</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span><span class="p">)</span><span class="s1">&#39;</span>
-<span class="p">(</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="o">^</span><span class="p">)</span><span class="s1">&#39;</span>
-<span class="p">(</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;</span>
-<span class="p">(</span><span class="o">.</span><span class="mf">111.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span><span class="p">)</span><span class="s1">&#39;)</span>
-<span class="p">(</span><span class="o">.</span><span class="mf">111.</span> <span class="o">|</span> <span class="mf">11.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="o">^</span><span class="p">)</span><span class="s1">&#39;)</span>
-<span class="p">(</span><span class="o">.</span><span class="mf">111.</span> <span class="o">|</span> <span class="mf">11.</span> <span class="o">|</span> <span class="mf">1.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span><span class="p">)</span><span class="s1">&#39;)</span>
-<span class="p">(</span><span class="o">.</span><span class="mf">111.</span> <span class="o">|</span> <span class="mf">11.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
-<span class="p">(</span><span class="o">.</span><span class="mf">111.</span> <span class="o">|</span> <span class="mf">11.</span> <span class="o">|</span> <span class="mf">1.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
+<span class="p">(</span><span class="mf">.01</span><span class="p">)</span><span class="s1">&#39;</span>
+<span class="p">(</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span><span class="p">)</span><span class="s1">&#39;</span>
+<span class="p">(</span><span class="mf">.01</span> <span class="o">|</span> <span class="o">^</span><span class="p">)</span><span class="s1">&#39;</span>
+<span class="p">(</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;</span>
+<span class="p">(</span><span class="mf">.111</span><span class="o">.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span><span class="p">)</span><span class="s1">&#39;)</span>
+<span class="p">(</span><span class="mf">.111</span><span class="o">.</span> <span class="o">|</span> <span class="mf">11.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="o">^</span><span class="p">)</span><span class="s1">&#39;)</span>
+<span class="p">(</span><span class="mf">.111</span><span class="o">.</span> <span class="o">|</span> <span class="mf">11.</span> <span class="o">|</span> <span class="mf">1.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span><span class="p">)</span><span class="s1">&#39;)</span>
+<span class="p">(</span><span class="mf">.111</span><span class="o">.</span> <span class="o">|</span> <span class="mf">11.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
+<span class="p">(</span><span class="mf">.111</span><span class="o">.</span> <span class="o">|</span> <span class="mf">11.</span> <span class="o">|</span> <span class="mf">1.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
 </pre></div>
 </div>
 <p>Should match:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">(</span><span class="o">.</span><span class="mf">111.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">11</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">(</span><span class="mf">.111</span><span class="o">.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">11</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
 
 <span class="mi">92</span> <span class="o">/</span> <span class="mi">122</span>
 <span class="mi">92</span> <span class="o">/</span> <span class="mi">122</span>
 
-<span class="p">(</span><span class="o">.</span><span class="mi">01</span>     <span class="p">)</span><span class="s1">&#39;</span>
-<span class="p">(</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span> <span class="p">)</span><span class="s1">&#39;</span>
-<span class="p">(</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="o">^</span> <span class="p">)</span><span class="s1">&#39;</span>
-<span class="p">(</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;</span>
-<span class="p">(</span><span class="o">.</span><span class="mf">111.</span><span class="p">)</span>            <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span> <span class="p">)</span><span class="s1">&#39;)</span>
-<span class="p">(</span><span class="o">.</span><span class="mf">111.</span> <span class="o">|</span> <span class="mf">11.</span><span class="p">)</span>      <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="o">^</span> <span class="p">)</span><span class="s1">&#39;)</span>
-<span class="p">(</span><span class="o">.</span><span class="mf">111.</span> <span class="o">|</span> <span class="mf">11.</span><span class="p">)</span>      <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
-<span class="p">(</span><span class="o">.</span><span class="mf">111.</span> <span class="o">|</span> <span class="mf">11.</span> <span class="o">|</span> <span class="mf">1.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span>     <span class="p">)</span><span class="s1">&#39;)</span>
-<span class="p">(</span><span class="o">.</span><span class="mf">111.</span> <span class="o">|</span> <span class="mf">11.</span> <span class="o">|</span> <span class="mf">1.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
+<span class="p">(</span><span class="mf">.01</span>     <span class="p">)</span><span class="s1">&#39;</span>
+<span class="p">(</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span> <span class="p">)</span><span class="s1">&#39;</span>
+<span class="p">(</span><span class="mf">.01</span> <span class="o">|</span> <span class="o">^</span> <span class="p">)</span><span class="s1">&#39;</span>
+<span class="p">(</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;</span>
+<span class="p">(</span><span class="mf">.111</span><span class="o">.</span><span class="p">)</span>            <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span> <span class="p">)</span><span class="s1">&#39;)</span>
+<span class="p">(</span><span class="mf">.111</span><span class="o">.</span> <span class="o">|</span> <span class="mf">11.</span><span class="p">)</span>      <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="o">^</span> <span class="p">)</span><span class="s1">&#39;)</span>
+<span class="p">(</span><span class="mf">.111</span><span class="o">.</span> <span class="o">|</span> <span class="mf">11.</span><span class="p">)</span>      <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
+<span class="p">(</span><span class="mf">.111</span><span class="o">.</span> <span class="o">|</span> <span class="mf">11.</span> <span class="o">|</span> <span class="mf">1.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span>     <span class="p">)</span><span class="s1">&#39;)</span>
+<span class="p">(</span><span class="mf">.111</span><span class="o">.</span> <span class="o">|</span> <span class="mf">11.</span> <span class="o">|</span> <span class="mf">1.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
 </pre></div>
 </div>
 </section>
@@ -495,7 +495,7 @@ for now.</p>
 <h2>State Machine<a class="headerlink" href="#state-machine" title="Permalink to this headline">¶</a></h2>
 <p>We can drive the regular expressions to flesh out the underlying state
 machine transition table.</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="o">.</span><span class="mf">111.</span> <span class="o">&amp;</span> <span class="p">(</span><span class="o">.</span><span class="mi">01</span> <span class="o">+</span> <span class="mi">11</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mf">.111</span><span class="o">.</span> <span class="o">&amp;</span> <span class="p">(</span><span class="mf">.01</span> <span class="o">+</span> <span class="mi">11</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;</span>
 </pre></div>
 </div>
 <p>Says, “Three or more 1’s and not ending in 01 nor composed of all 1’s.”</p>
@@ -540,60 +540,60 @@ a --1--&gt; ∂1(a)
 </div>
 <p>And so on, each new unique RE is a new state in the FSM table.</p>
 <p>Here are the derived REs at each state:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">a</span> <span class="o">=</span> <span class="p">(</span><span class="o">.</span><span class="mf">111.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">11</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
-<span class="n">b</span> <span class="o">=</span> <span class="p">(</span><span class="o">.</span><span class="mf">111.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span><span class="p">)</span><span class="s1">&#39;)</span>
-<span class="n">c</span> <span class="o">=</span> <span class="p">(</span><span class="o">.</span><span class="mf">111.</span> <span class="o">|</span> <span class="mf">11.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
-<span class="n">d</span> <span class="o">=</span> <span class="p">(</span><span class="o">.</span><span class="mf">111.</span> <span class="o">|</span> <span class="mf">11.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="o">^</span><span class="p">)</span><span class="s1">&#39;)</span>
-<span class="n">e</span> <span class="o">=</span> <span class="p">(</span><span class="o">.</span><span class="mf">111.</span> <span class="o">|</span> <span class="mf">11.</span> <span class="o">|</span> <span class="mf">1.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
-<span class="n">f</span> <span class="o">=</span> <span class="p">(</span><span class="o">.</span><span class="mf">111.</span> <span class="o">|</span> <span class="mf">11.</span> <span class="o">|</span> <span class="mf">1.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="o">.</span><span class="mi">01</span><span class="p">)</span><span class="s1">&#39;)</span>
-<span class="n">g</span> <span class="o">=</span> <span class="p">(</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;</span>
-<span class="n">h</span> <span class="o">=</span> <span class="p">(</span><span class="o">.</span><span class="mi">01</span><span class="p">)</span><span class="s1">&#39;</span>
-<span class="n">i</span> <span class="o">=</span> <span class="p">(</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="mi">1</span><span class="p">)</span><span class="s1">&#39;</span>
-<span class="n">j</span> <span class="o">=</span> <span class="p">(</span><span class="o">.</span><span class="mi">01</span> <span class="o">|</span> <span class="o">^</span><span class="p">)</span><span class="s1">&#39;</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">a</span> <span class="o">=</span> <span class="p">(</span><span class="mf">.111</span><span class="o">.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">11</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
+<span class="n">b</span> <span class="o">=</span> <span class="p">(</span><span class="mf">.111</span><span class="o">.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span><span class="p">)</span><span class="s1">&#39;)</span>
+<span class="n">c</span> <span class="o">=</span> <span class="p">(</span><span class="mf">.111</span><span class="o">.</span> <span class="o">|</span> <span class="mf">11.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
+<span class="n">d</span> <span class="o">=</span> <span class="p">(</span><span class="mf">.111</span><span class="o">.</span> <span class="o">|</span> <span class="mf">11.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="o">^</span><span class="p">)</span><span class="s1">&#39;)</span>
+<span class="n">e</span> <span class="o">=</span> <span class="p">(</span><span class="mf">.111</span><span class="o">.</span> <span class="o">|</span> <span class="mf">11.</span> <span class="o">|</span> <span class="mf">1.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;)</span>
+<span class="n">f</span> <span class="o">=</span> <span class="p">(</span><span class="mf">.111</span><span class="o">.</span> <span class="o">|</span> <span class="mf">11.</span> <span class="o">|</span> <span class="mf">1.</span><span class="p">)</span> <span class="o">&amp;</span> <span class="p">((</span><span class="mf">.01</span><span class="p">)</span><span class="s1">&#39;)</span>
+<span class="n">g</span> <span class="o">=</span> <span class="p">(</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span><span class="o">*</span><span class="p">)</span><span class="s1">&#39;</span>
+<span class="n">h</span> <span class="o">=</span> <span class="p">(</span><span class="mf">.01</span><span class="p">)</span><span class="s1">&#39;</span>
+<span class="n">i</span> <span class="o">=</span> <span class="p">(</span><span class="mf">.01</span> <span class="o">|</span> <span class="mi">1</span><span class="p">)</span><span class="s1">&#39;</span>
+<span class="n">j</span> <span class="o">=</span> <span class="p">(</span><span class="mf">.01</span> <span class="o">|</span> <span class="o">^</span><span class="p">)</span><span class="s1">&#39;</span>
 </pre></div>
 </div>
 <p>You can see the one-way nature of the <code class="docutils literal notranslate"><span class="pre">g</span></code> state and the <code class="docutils literal notranslate"><span class="pre">hij</span></code> “trap”
 in the way that the <code class="docutils literal notranslate"><span class="pre">.111.</span></code> on the left-hand side of the <code class="docutils literal notranslate"><span class="pre">&amp;</span></code>
 disappears once it has been matched.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">collections</span> <span class="kn">import</span> <span class="n">defaultdict</span>
-<span class="kn">from</span> <span class="nn">pprint</span> <span class="kn">import</span> <span class="n">pprint</span>
-<span class="kn">from</span> <span class="nn">string</span> <span class="kn">import</span> <span class="n">ascii_lowercase</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>from collections import defaultdict
+from pprint import pprint
+from string import ascii_lowercase
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">d0</span><span class="p">,</span> <span class="n">d1</span> <span class="o">=</span> <span class="n">D_compaction</span><span class="p">(</span><span class="s1">&#39;0&#39;</span><span class="p">),</span> <span class="n">D_compaction</span><span class="p">(</span><span class="s1">&#39;1&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>d0, d1 = D_compaction(&#39;0&#39;), D_compaction(&#39;1&#39;)
 </pre></div>
 </div>
 </section>
 <section id="explore">
 <h3><code class="docutils literal notranslate"><span class="pre">explore()</span></code><a class="headerlink" href="#explore" title="Permalink to this headline">¶</a></h3>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">explore</span><span class="p">(</span><span class="n">re</span><span class="p">):</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>def explore(re):
 
-    <span class="c1"># Don&#39;t have more than 26 states...</span>
-    <span class="n">names</span> <span class="o">=</span> <span class="n">defaultdict</span><span class="p">(</span><span class="nb">iter</span><span class="p">(</span><span class="n">ascii_lowercase</span><span class="p">)</span><span class="o">.</span><span class="n">next</span><span class="p">)</span>
+    # Don&#39;t have more than 26 states...
+    names = defaultdict(iter(ascii_lowercase).next)
 
-    <span class="n">table</span><span class="p">,</span> <span class="n">accepting</span> <span class="o">=</span> <span class="nb">dict</span><span class="p">(),</span> <span class="nb">set</span><span class="p">()</span>
+    table, accepting = dict(), set()
 
-    <span class="n">to_check</span> <span class="o">=</span> <span class="p">{</span><span class="n">re</span><span class="p">}</span>
-    <span class="k">while</span> <span class="n">to_check</span><span class="p">:</span>
+    to_check = {re}
+    while to_check:
 
-        <span class="n">re</span> <span class="o">=</span> <span class="n">to_check</span><span class="o">.</span><span class="n">pop</span><span class="p">()</span>
-        <span class="n">state_name</span> <span class="o">=</span> <span class="n">names</span><span class="p">[</span><span class="n">re</span><span class="p">]</span>
+        re = to_check.pop()
+        state_name = names[re]
 
-        <span class="k">if</span> <span class="p">(</span><span class="n">state_name</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span> <span class="ow">in</span> <span class="n">table</span><span class="p">:</span>
-            <span class="k">continue</span>
+        if (state_name, 0) in table:
+            continue
 
-        <span class="k">if</span> <span class="n">nully</span><span class="p">(</span><span class="n">re</span><span class="p">):</span>
-            <span class="n">accepting</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">state_name</span><span class="p">)</span>
+        if nully(re):
+            accepting.add(state_name)
 
-        <span class="n">o</span><span class="p">,</span> <span class="n">i</span> <span class="o">=</span> <span class="n">d0</span><span class="p">(</span><span class="n">re</span><span class="p">),</span> <span class="n">d1</span><span class="p">(</span><span class="n">re</span><span class="p">)</span>
-        <span class="n">table</span><span class="p">[</span><span class="n">state_name</span><span class="p">,</span> <span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">names</span><span class="p">[</span><span class="n">o</span><span class="p">]</span> <span class="p">;</span> <span class="n">to_check</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">o</span><span class="p">)</span>
-        <span class="n">table</span><span class="p">[</span><span class="n">state_name</span><span class="p">,</span> <span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">names</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="p">;</span> <span class="n">to_check</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">i</span><span class="p">)</span>
+        o, i = d0(re), d1(re)
+        table[state_name, 0] = names[o] ; to_check.add(o)
+        table[state_name, 1] = names[i] ; to_check.add(i)
 
-    <span class="k">return</span> <span class="n">table</span><span class="p">,</span> <span class="n">accepting</span>
+    return table, accepting
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">table</span><span class="p">,</span> <span class="n">accepting</span> <span class="o">=</span> <span class="n">explore</span><span class="p">(</span><span class="n">it</span><span class="p">)</span>
-<span class="n">table</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>table, accepting = explore(it)
+table
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">{(</span><span class="s1">&#39;a&#39;</span><span class="p">,</span> <span class="mi">0</span><span class="p">):</span> <span class="s1">&#39;b&#39;</span><span class="p">,</span>
@@ -618,7 +618,7 @@ disappears once it has been matched.</p>
  <span class="p">(</span><span class="s1">&#39;j&#39;</span><span class="p">,</span> <span class="mi">1</span><span class="p">):</span> <span class="s1">&#39;h&#39;</span><span class="p">}</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">accepting</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>accepting
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">{</span><span class="s1">&#39;h&#39;</span><span class="p">,</span> <span class="s1">&#39;i&#39;</span><span class="p">}</span>
@@ -629,31 +629,31 @@ disappears once it has been matched.</p>
 <h3>Generate Diagram<a class="headerlink" href="#generate-diagram" title="Permalink to this headline">¶</a></h3>
 <p>Once we have the FSM table and the set of accepting states we can
 generate the diagram above.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">_template</span> <span class="o">=</span> <span class="s1">&#39;&#39;&#39;</span><span class="se">\</span>
-<span class="s1">digraph finite_state_machine {</span>
-<span class="s1">  rankdir=LR;</span>
-<span class="s1">  size=&quot;8,5&quot;</span>
-<span class="s1">  node [shape = doublecircle]; </span><span class="si">%s</span><span class="s1">;</span>
-<span class="s1">  node [shape = circle];</span>
-<span class="si">%s</span><span class="s1"></span>
-<span class="s1">}</span>
-<span class="s1">&#39;&#39;&#39;</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>_template = &#39;&#39;&#39;\
+digraph finite_state_machine {
+  rankdir=LR;
+  size=&quot;8,5&quot;
+  node [shape = doublecircle]; %s;
+  node [shape = circle];
+%s
+}
+&#39;&#39;&#39;
 
-<span class="k">def</span> <span class="nf">link</span><span class="p">(</span><span class="n">fr</span><span class="p">,</span> <span class="n">nm</span><span class="p">,</span> <span class="n">label</span><span class="p">):</span>
-    <span class="k">return</span> <span class="s1">&#39;  </span><span class="si">%s</span><span class="s1"> -&gt; </span><span class="si">%s</span><span class="s1"> [ label = &quot;</span><span class="si">%s</span><span class="s1">&quot; ];&#39;</span> <span class="o">%</span> <span class="p">(</span><span class="n">fr</span><span class="p">,</span> <span class="n">nm</span><span class="p">,</span> <span class="n">label</span><span class="p">)</span>
+def link(fr, nm, label):
+    return &#39;  %s -&gt; %s [ label = &quot;%s&quot; ];&#39; % (fr, nm, label)
 
 
-<span class="k">def</span> <span class="nf">make_graph</span><span class="p">(</span><span class="n">table</span><span class="p">,</span> <span class="n">accepting</span><span class="p">):</span>
-    <span class="k">return</span> <span class="n">_template</span> <span class="o">%</span> <span class="p">(</span>
-        <span class="s1">&#39; &#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">accepting</span><span class="p">),</span>
-        <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span>
-          <span class="n">link</span><span class="p">(</span><span class="n">from_</span><span class="p">,</span> <span class="n">to</span><span class="p">,</span> <span class="n">char</span><span class="p">)</span>
-          <span class="k">for</span> <span class="p">(</span><span class="n">from_</span><span class="p">,</span> <span class="n">char</span><span class="p">),</span> <span class="p">(</span><span class="n">to</span><span class="p">)</span> <span class="ow">in</span> <span class="nb">sorted</span><span class="p">(</span><span class="n">table</span><span class="o">.</span><span class="n">iteritems</span><span class="p">())</span>
-          <span class="p">)</span>
-        <span class="p">)</span>
+def make_graph(table, accepting):
+    return _template % (
+        &#39; &#39;.join(accepting),
+        &#39;\n&#39;.join(
+          link(from_, to, char)
+          for (from_, char), (to) in sorted(table.iteritems())
+          )
+        )
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="nb">print</span> <span class="n">make_graph</span><span class="p">(</span><span class="n">table</span><span class="p">,</span> <span class="n">accepting</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>print make_graph(table, accepting)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">digraph</span> <span class="n">finite_state_machine</span> <span class="p">{</span>
@@ -699,14 +699,14 @@ hard-code the information in the table into a little patch of branches.</p>
 <h4>Trampoline Function<a class="headerlink" href="#trampoline-function" title="Permalink to this headline">¶</a></h4>
 <p>Python has no GOTO statement but we can fake it with a “trampoline”
 function.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">trampoline</span><span class="p">(</span><span class="n">input_</span><span class="p">,</span> <span class="n">jump_from</span><span class="p">,</span> <span class="n">accepting</span><span class="p">):</span>
-    <span class="n">I</span> <span class="o">=</span> <span class="nb">iter</span><span class="p">(</span><span class="n">input_</span><span class="p">)</span>
-    <span class="k">while</span> <span class="kc">True</span><span class="p">:</span>
-        <span class="k">try</span><span class="p">:</span>
-            <span class="n">bounce_to</span> <span class="o">=</span> <span class="n">jump_from</span><span class="p">(</span><span class="n">I</span><span class="p">)</span>
-        <span class="k">except</span> <span class="ne">StopIteration</span><span class="p">:</span>
-            <span class="k">return</span> <span class="n">jump_from</span> <span class="ow">in</span> <span class="n">accepting</span>
-        <span class="n">jump_from</span> <span class="o">=</span> <span class="n">bounce_to</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>def trampoline(input_, jump_from, accepting):
+    I = iter(input_)
+    while True:
+        try:
+            bounce_to = jump_from(I)
+        except StopIteration:
+            return jump_from in accepting
+        jump_from = bounce_to
 </pre></div>
 </div>
 </section>
@@ -714,17 +714,17 @@ function.</p>
 <h4>Stream Functions<a class="headerlink" href="#stream-functions" title="Permalink to this headline">¶</a></h4>
 <p>Little helpers to process the iterator of our data (a “stream” of “1”
 and “0” characters, not bits.)</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">getch</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">I</span><span class="p">:</span> <span class="nb">int</span><span class="p">(</span><span class="nb">next</span><span class="p">(</span><span class="n">I</span><span class="p">))</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>getch = lambda I: int(next(I))
 
 
-<span class="k">def</span> <span class="nf">_1</span><span class="p">(</span><span class="n">I</span><span class="p">):</span>
-    <span class="sd">&#39;&#39;&#39;Loop on ones.&#39;&#39;&#39;</span>
-    <span class="k">while</span> <span class="n">getch</span><span class="p">(</span><span class="n">I</span><span class="p">):</span> <span class="k">pass</span>
+def _1(I):
+    &#39;&#39;&#39;Loop on ones.&#39;&#39;&#39;
+    while getch(I): pass
 
 
-<span class="k">def</span> <span class="nf">_0</span><span class="p">(</span><span class="n">I</span><span class="p">):</span>
-    <span class="sd">&#39;&#39;&#39;Loop on zeros.&#39;&#39;&#39;</span>
-    <span class="k">while</span> <span class="ow">not</span> <span class="n">getch</span><span class="p">(</span><span class="n">I</span><span class="p">):</span> <span class="k">pass</span>
+def _0(I):
+    &#39;&#39;&#39;Loop on zeros.&#39;&#39;&#39;
+    while not getch(I): pass
 </pre></div>
 </div>
 </section>
@@ -735,28 +735,28 @@ and “0” characters, not bits.)</p>
 code. (You have to imagine that these are GOTO statements in C or
 branches in assembly and that the state names are branch destination
 labels.)</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">a</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">I</span><span class="p">:</span> <span class="n">c</span> <span class="k">if</span> <span class="n">getch</span><span class="p">(</span><span class="n">I</span><span class="p">)</span> <span class="k">else</span> <span class="n">b</span>
-<span class="n">b</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">I</span><span class="p">:</span> <span class="n">_0</span><span class="p">(</span><span class="n">I</span><span class="p">)</span> <span class="ow">or</span> <span class="n">d</span>
-<span class="n">c</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">I</span><span class="p">:</span> <span class="n">e</span> <span class="k">if</span> <span class="n">getch</span><span class="p">(</span><span class="n">I</span><span class="p">)</span> <span class="k">else</span> <span class="n">b</span>
-<span class="n">d</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">I</span><span class="p">:</span> <span class="n">f</span> <span class="k">if</span> <span class="n">getch</span><span class="p">(</span><span class="n">I</span><span class="p">)</span> <span class="k">else</span> <span class="n">b</span>
-<span class="n">e</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">I</span><span class="p">:</span> <span class="n">g</span> <span class="k">if</span> <span class="n">getch</span><span class="p">(</span><span class="n">I</span><span class="p">)</span> <span class="k">else</span> <span class="n">b</span>
-<span class="n">f</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">I</span><span class="p">:</span> <span class="n">h</span> <span class="k">if</span> <span class="n">getch</span><span class="p">(</span><span class="n">I</span><span class="p">)</span> <span class="k">else</span> <span class="n">b</span>
-<span class="n">g</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">I</span><span class="p">:</span> <span class="n">_1</span><span class="p">(</span><span class="n">I</span><span class="p">)</span> <span class="ow">or</span> <span class="n">i</span>
-<span class="n">h</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">I</span><span class="p">:</span> <span class="n">_1</span><span class="p">(</span><span class="n">I</span><span class="p">)</span> <span class="ow">or</span> <span class="n">i</span>
-<span class="n">i</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">I</span><span class="p">:</span> <span class="n">_0</span><span class="p">(</span><span class="n">I</span><span class="p">)</span> <span class="ow">or</span> <span class="n">j</span>
-<span class="n">j</span> <span class="o">=</span> <span class="k">lambda</span> <span class="n">I</span><span class="p">:</span> <span class="n">h</span> <span class="k">if</span> <span class="n">getch</span><span class="p">(</span><span class="n">I</span><span class="p">)</span> <span class="k">else</span> <span class="n">i</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>a = lambda I: c if getch(I) else b
+b = lambda I: _0(I) or d
+c = lambda I: e if getch(I) else b
+d = lambda I: f if getch(I) else b
+e = lambda I: g if getch(I) else b
+f = lambda I: h if getch(I) else b
+g = lambda I: _1(I) or i
+h = lambda I: _1(I) or i
+i = lambda I: _0(I) or j
+j = lambda I: h if getch(I) else i
 </pre></div>
 </div>
 <p>Note that the implementations of <code class="docutils literal notranslate"><span class="pre">h</span></code> and <code class="docutils literal notranslate"><span class="pre">g</span></code> are identical ergo
 <code class="docutils literal notranslate"><span class="pre">h</span> <span class="pre">=</span> <span class="pre">g</span></code> and we could eliminate one in the code but <code class="docutils literal notranslate"><span class="pre">h</span></code> is an
 accepting state and <code class="docutils literal notranslate"><span class="pre">g</span></code> isn’t.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">acceptable</span><span class="p">(</span><span class="n">input_</span><span class="p">):</span>
-    <span class="k">return</span> <span class="n">trampoline</span><span class="p">(</span><span class="n">input_</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="p">{</span><span class="n">h</span><span class="p">,</span> <span class="n">i</span><span class="p">})</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>def acceptable(input_):
+    return trampoline(input_, a, {h, i})
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span><span class="o">**</span><span class="mi">5</span><span class="p">):</span>
-    <span class="n">s</span> <span class="o">=</span> <span class="nb">bin</span><span class="p">(</span><span class="n">n</span><span class="p">)[</span><span class="mi">2</span><span class="p">:]</span>
-    <span class="nb">print</span> <span class="s1">&#39;</span><span class="si">%05s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">s</span><span class="p">,</span> <span class="n">acceptable</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>for n in range(2**5):
+    s = bin(n)[2:]
+    print &#39;%05s&#39; % s, acceptable(s)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>    <span class="mi">0</span> <span class="kc">False</span>
@@ -928,7 +928,7 @@ derivative-with-respect-to-N of some other state/RE:</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/Developing.html

@@ -13,7 +13,7 @@
     <script src="../_static/jquery.js"></script>
     <script src="../_static/underscore.js"></script>
     <script src="../_static/doctools.js"></script>
-    <script defer="defer" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
+    <script async="async" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
     <link rel="index" title="Index" href="../genindex.html" />
     <link rel="search" title="Search" href="../search.html" />
     <link rel="next" title="Quadratic formula" href="Quadratic.html" />
@@ -113,7 +113,7 @@ these differences to the counter one-by-one in a loop.</p>
 go we need a function that will accept the sum, the counter, and the
 next term to add, and that adds the term to the counter and a copy of
 the counter to the running sum. This function will do that:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="o">==</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">PE1</span><span class="mf">.1</span> <span class="o">==</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span>
 </pre></div>
 </div>
 <div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;PE1.1 == + [+] dupdip&#39;</span><span class="p">)</span>
@@ -122,10 +122,10 @@ the counter to the running sum. This function will do that:</p>
 <div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;0 0 3 PE1.1&#39;</span><span class="p">)</span>
 </pre></div>
 </div>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>        <span class="o">.</span> <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span>
-      <span class="mi">0</span> <span class="o">.</span> <span class="mi">0</span> <span class="mi">3</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span>
-    <span class="mi">0</span> <span class="mi">0</span> <span class="o">.</span> <span class="mi">3</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span>
-  <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>        <span class="o">.</span> <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="n">PE1</span><span class="mf">.1</span>
+      <span class="mi">0</span> <span class="o">.</span> <span class="mi">0</span> <span class="mi">3</span> <span class="n">PE1</span><span class="mf">.1</span>
+    <span class="mi">0</span> <span class="mi">0</span> <span class="o">.</span> <span class="mi">3</span> <span class="n">PE1</span><span class="mf">.1</span>
+  <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span>
   <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span>
     <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span>
 <span class="mi">0</span> <span class="mi">3</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span>
@@ -137,73 +137,73 @@ the counter to the running sum. This function will do that:</p>
 <div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;0 0 [3 2 1 3 1 2 3] [PE1.1] step&#39;</span><span class="p">)</span>
 </pre></div>
 </div>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                            <span class="o">.</span> <span class="mi">0</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                          <span class="mi">0</span> <span class="o">.</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                        <span class="mi">0</span> <span class="mi">0</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-        <span class="mi">0</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-<span class="mi">0</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
-              <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                      <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                      <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                        <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                    <span class="mi">0</span> <span class="mi">3</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                        <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                          <span class="mi">3</span> <span class="o">.</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                        <span class="mi">3</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-          <span class="mi">3</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-  <span class="mi">3</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
-              <span class="mi">3</span> <span class="mi">3</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                      <span class="mi">3</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                      <span class="mi">3</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                        <span class="mi">3</span> <span class="mi">5</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                    <span class="mi">3</span> <span class="mi">5</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                        <span class="mi">3</span> <span class="mi">5</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">5</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                          <span class="mi">8</span> <span class="o">.</span> <span class="mi">5</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                        <span class="mi">8</span> <span class="mi">5</span> <span class="o">.</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-            <span class="mi">8</span> <span class="mi">5</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-    <span class="mi">8</span> <span class="mi">5</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
-              <span class="mi">8</span> <span class="mi">5</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                      <span class="mi">8</span> <span class="mi">5</span> <span class="mi">1</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                      <span class="mi">8</span> <span class="mi">5</span> <span class="mi">1</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                        <span class="mi">8</span> <span class="mi">6</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                    <span class="mi">8</span> <span class="mi">6</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                        <span class="mi">8</span> <span class="mi">6</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">6</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                         <span class="mi">14</span> <span class="o">.</span> <span class="mi">6</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                       <span class="mi">14</span> <span class="mi">6</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-             <span class="mi">14</span> <span class="mi">6</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-     <span class="mi">14</span> <span class="mi">6</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
-             <span class="mi">14</span> <span class="mi">6</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                     <span class="mi">14</span> <span class="mi">6</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                     <span class="mi">14</span> <span class="mi">6</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                       <span class="mi">14</span> <span class="mi">9</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                   <span class="mi">14</span> <span class="mi">9</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                       <span class="mi">14</span> <span class="mi">9</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">9</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                         <span class="mi">23</span> <span class="o">.</span> <span class="mi">9</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                       <span class="mi">23</span> <span class="mi">9</span> <span class="o">.</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-               <span class="mi">23</span> <span class="mi">9</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-       <span class="mi">23</span> <span class="mi">9</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
-             <span class="mi">23</span> <span class="mi">9</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                     <span class="mi">23</span> <span class="mi">9</span> <span class="mi">1</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                     <span class="mi">23</span> <span class="mi">9</span> <span class="mi">1</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                      <span class="mi">23</span> <span class="mi">10</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                  <span class="mi">23</span> <span class="mi">10</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                      <span class="mi">23</span> <span class="mi">10</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">10</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                         <span class="mi">33</span> <span class="o">.</span> <span class="mi">10</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                      <span class="mi">33</span> <span class="mi">10</span> <span class="o">.</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                <span class="mi">33</span> <span class="mi">10</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-        <span class="mi">33</span> <span class="mi">10</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
-            <span class="mi">33</span> <span class="mi">10</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                    <span class="mi">33</span> <span class="mi">10</span> <span class="mi">2</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                    <span class="mi">33</span> <span class="mi">10</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                      <span class="mi">33</span> <span class="mi">12</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                  <span class="mi">33</span> <span class="mi">12</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                      <span class="mi">33</span> <span class="mi">12</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">12</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                         <span class="mi">45</span> <span class="o">.</span> <span class="mi">12</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                      <span class="mi">45</span> <span class="mi">12</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-                  <span class="mi">45</span> <span class="mi">12</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">step</span>
-          <span class="mi">45</span> <span class="mi">12</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
-            <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span>
-                    <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                            <span class="o">.</span> <span class="mi">0</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                          <span class="mi">0</span> <span class="o">.</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                        <span class="mi">0</span> <span class="mi">0</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+        <span class="mi">0</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+<span class="mi">0</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
+              <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                      <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                      <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                        <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                    <span class="mi">0</span> <span class="mi">3</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                        <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                          <span class="mi">3</span> <span class="o">.</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                        <span class="mi">3</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+          <span class="mi">3</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+  <span class="mi">3</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
+              <span class="mi">3</span> <span class="mi">3</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                      <span class="mi">3</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                      <span class="mi">3</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                        <span class="mi">3</span> <span class="mi">5</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                    <span class="mi">3</span> <span class="mi">5</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                        <span class="mi">3</span> <span class="mi">5</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">5</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                          <span class="mi">8</span> <span class="o">.</span> <span class="mi">5</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                        <span class="mi">8</span> <span class="mi">5</span> <span class="o">.</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+            <span class="mi">8</span> <span class="mi">5</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+    <span class="mi">8</span> <span class="mi">5</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
+              <span class="mi">8</span> <span class="mi">5</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                      <span class="mi">8</span> <span class="mi">5</span> <span class="mi">1</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                      <span class="mi">8</span> <span class="mi">5</span> <span class="mi">1</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                        <span class="mi">8</span> <span class="mi">6</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                    <span class="mi">8</span> <span class="mi">6</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                        <span class="mi">8</span> <span class="mi">6</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">6</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                         <span class="mi">14</span> <span class="o">.</span> <span class="mi">6</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                       <span class="mi">14</span> <span class="mi">6</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+             <span class="mi">14</span> <span class="mi">6</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+     <span class="mi">14</span> <span class="mi">6</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
+             <span class="mi">14</span> <span class="mi">6</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                     <span class="mi">14</span> <span class="mi">6</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                     <span class="mi">14</span> <span class="mi">6</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                       <span class="mi">14</span> <span class="mi">9</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                   <span class="mi">14</span> <span class="mi">9</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                       <span class="mi">14</span> <span class="mi">9</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">9</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                         <span class="mi">23</span> <span class="o">.</span> <span class="mi">9</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                       <span class="mi">23</span> <span class="mi">9</span> <span class="o">.</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+               <span class="mi">23</span> <span class="mi">9</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+       <span class="mi">23</span> <span class="mi">9</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
+             <span class="mi">23</span> <span class="mi">9</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                     <span class="mi">23</span> <span class="mi">9</span> <span class="mi">1</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                     <span class="mi">23</span> <span class="mi">9</span> <span class="mi">1</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                      <span class="mi">23</span> <span class="mi">10</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                  <span class="mi">23</span> <span class="mi">10</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                      <span class="mi">23</span> <span class="mi">10</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">10</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                         <span class="mi">33</span> <span class="o">.</span> <span class="mi">10</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                      <span class="mi">33</span> <span class="mi">10</span> <span class="o">.</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                <span class="mi">33</span> <span class="mi">10</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+        <span class="mi">33</span> <span class="mi">10</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
+            <span class="mi">33</span> <span class="mi">10</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                    <span class="mi">33</span> <span class="mi">10</span> <span class="mi">2</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                    <span class="mi">33</span> <span class="mi">10</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                      <span class="mi">33</span> <span class="mi">12</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                  <span class="mi">33</span> <span class="mi">12</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                      <span class="mi">33</span> <span class="mi">12</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">12</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                         <span class="mi">45</span> <span class="o">.</span> <span class="mi">12</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                      <span class="mi">45</span> <span class="mi">12</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+                  <span class="mi">45</span> <span class="mi">12</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">step</span>
+          <span class="mi">45</span> <span class="mi">12</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">step</span>
+            <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span>
+                    <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span>
                     <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span>
                       <span class="mi">45</span> <span class="mi">15</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span>
                   <span class="mi">45</span> <span class="mi">15</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span>
@@ -279,15 +279,15 @@ integer terms from the list.</p>
 <div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;0 0 14811 PE1.2&#39;</span><span class="p">)</span>
 </pre></div>
 </div>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                      <span class="o">.</span> <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span>
-                    <span class="mi">0</span> <span class="o">.</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span>
-                  <span class="mi">0</span> <span class="mi">0</span> <span class="o">.</span> <span class="mi">14811</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span>
-            <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span>
-            <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
-<span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
-            <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
-          <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
-                <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                      <span class="o">.</span> <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="n">PE1</span><span class="mf">.2</span>
+                    <span class="mi">0</span> <span class="o">.</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="n">PE1</span><span class="mf">.2</span>
+                  <span class="mi">0</span> <span class="mi">0</span> <span class="o">.</span> <span class="mi">14811</span> <span class="n">PE1</span><span class="mf">.2</span>
+            <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.2</span>
+            <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
+<span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
+            <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
+          <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
+                <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
                 <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
                   <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
               <span class="mi">0</span> <span class="mi">3</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
@@ -302,15 +302,15 @@ integer terms from the list.</p>
 <div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;3 3 3702 PE1.2&#39;</span><span class="p">)</span>
 </pre></div>
 </div>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                     <span class="o">.</span> <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span>
-                   <span class="mi">3</span> <span class="o">.</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span>
-                 <span class="mi">3</span> <span class="mi">3</span> <span class="o">.</span> <span class="mi">3702</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span>
-            <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span>
-            <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
-<span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
-            <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
-          <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
-               <span class="mi">3</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                     <span class="o">.</span> <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="n">PE1</span><span class="mf">.2</span>
+                   <span class="mi">3</span> <span class="o">.</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="n">PE1</span><span class="mf">.2</span>
+                 <span class="mi">3</span> <span class="mi">3</span> <span class="o">.</span> <span class="mi">3702</span> <span class="n">PE1</span><span class="mf">.2</span>
+            <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.2</span>
+            <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
+<span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
+            <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
+          <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
+               <span class="mi">3</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
                <span class="mi">3</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
                  <span class="mi">3</span> <span class="mi">5</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
              <span class="mi">3</span> <span class="mi">5</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
@@ -325,127 +325,127 @@ integer terms from the list.</p>
 <div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;0 0 14811 7 [PE1.2] times pop&#39;</span><span class="p">)</span>
 </pre></div>
 </div>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                      <span class="o">.</span> <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="mi">7</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                    <span class="mi">0</span> <span class="o">.</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="mi">7</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                  <span class="mi">0</span> <span class="mi">0</span> <span class="o">.</span> <span class="mi">14811</span> <span class="mi">7</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-            <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="o">.</span> <span class="mi">7</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-          <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="mi">7</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-  <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="mi">7</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span> <span class="n">pop</span>
-    <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-            <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-            <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-<span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-            <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-          <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                  <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-              <span class="mi">0</span> <span class="mi">3</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                  <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">3</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                    <span class="mi">3</span> <span class="o">.</span> <span class="mi">3</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                  <span class="mi">3</span> <span class="mi">3</span> <span class="o">.</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-            <span class="mi">3</span> <span class="mi">3</span> <span class="mi">14811</span> <span class="o">.</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-          <span class="mi">3</span> <span class="mi">3</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="o">.</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-           <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="mi">6</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-   <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span> <span class="n">pop</span>
-     <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
- <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-           <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                <span class="mi">3</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                <span class="mi">3</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                  <span class="mi">3</span> <span class="mi">5</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-              <span class="mi">3</span> <span class="mi">5</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                  <span class="mi">3</span> <span class="mi">5</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">5</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                    <span class="mi">8</span> <span class="o">.</span> <span class="mi">5</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                  <span class="mi">8</span> <span class="mi">5</span> <span class="o">.</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">8</span> <span class="mi">5</span> <span class="mi">3702</span> <span class="o">.</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-           <span class="mi">8</span> <span class="mi">5</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-              <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="o">.</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-            <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="mi">5</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-    <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span> <span class="n">pop</span>
-      <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-              <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-              <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-  <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-              <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-            <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                <span class="mi">8</span> <span class="mi">5</span> <span class="mi">1</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                <span class="mi">8</span> <span class="mi">5</span> <span class="mi">1</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                  <span class="mi">8</span> <span class="mi">6</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-              <span class="mi">8</span> <span class="mi">6</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                  <span class="mi">8</span> <span class="mi">6</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">6</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                   <span class="mi">14</span> <span class="o">.</span> <span class="mi">6</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                 <span class="mi">14</span> <span class="mi">6</span> <span class="o">.</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">14</span> <span class="mi">6</span> <span class="mi">925</span> <span class="o">.</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-           <span class="mi">14</span> <span class="mi">6</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="o">.</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-           <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="mi">4</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-   <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span> <span class="n">pop</span>
-     <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
- <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-           <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-               <span class="mi">14</span> <span class="mi">6</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-               <span class="mi">14</span> <span class="mi">6</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                 <span class="mi">14</span> <span class="mi">9</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">14</span> <span class="mi">9</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                 <span class="mi">14</span> <span class="mi">9</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">9</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                   <span class="mi">23</span> <span class="o">.</span> <span class="mi">9</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                 <span class="mi">23</span> <span class="mi">9</span> <span class="o">.</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">23</span> <span class="mi">9</span> <span class="mi">231</span> <span class="o">.</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-           <span class="mi">23</span> <span class="mi">9</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-              <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="o">.</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-            <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-    <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span> <span class="n">pop</span>
-      <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-              <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-              <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-  <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-              <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-            <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-               <span class="mi">23</span> <span class="mi">9</span> <span class="mi">1</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-               <span class="mi">23</span> <span class="mi">9</span> <span class="mi">1</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                <span class="mi">23</span> <span class="mi">10</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-            <span class="mi">23</span> <span class="mi">10</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                <span class="mi">23</span> <span class="mi">10</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">10</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                   <span class="mi">33</span> <span class="o">.</span> <span class="mi">10</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                <span class="mi">33</span> <span class="mi">10</span> <span class="o">.</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">33</span> <span class="mi">10</span> <span class="mi">57</span> <span class="o">.</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-           <span class="mi">33</span> <span class="mi">10</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="o">.</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-           <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-   <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span> <span class="n">pop</span>
-     <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
- <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-           <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-              <span class="mi">33</span> <span class="mi">10</span> <span class="mi">2</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-              <span class="mi">33</span> <span class="mi">10</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                <span class="mi">33</span> <span class="mi">12</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-            <span class="mi">33</span> <span class="mi">12</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                <span class="mi">33</span> <span class="mi">12</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">12</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                   <span class="mi">45</span> <span class="o">.</span> <span class="mi">12</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-                <span class="mi">45</span> <span class="mi">12</span> <span class="o">.</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-             <span class="mi">45</span> <span class="mi">12</span> <span class="mi">14</span> <span class="o">.</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-           <span class="mi">45</span> <span class="mi">12</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-              <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="o">.</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-            <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="mi">1</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-    <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span> <span class="n">pop</span>
-      <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="n">pop</span>
-              <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">2</span> <span class="n">pop</span>
-              <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="n">pop</span>
-  <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="n">pop</span>
-              <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="n">pop</span>
-            <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="n">pop</span>
-              <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="n">pop</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                      <span class="o">.</span> <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="mi">7</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                    <span class="mi">0</span> <span class="o">.</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="mi">7</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                  <span class="mi">0</span> <span class="mi">0</span> <span class="o">.</span> <span class="mi">14811</span> <span class="mi">7</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+            <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="o">.</span> <span class="mi">7</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+          <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="mi">7</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+  <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="mi">7</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span> <span class="n">pop</span>
+    <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+            <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.2</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+            <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+<span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+            <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+          <span class="mi">0</span> <span class="mi">0</span> <span class="mi">14811</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                <span class="mi">0</span> <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                  <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+              <span class="mi">0</span> <span class="mi">3</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                  <span class="mi">0</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">3</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                    <span class="mi">3</span> <span class="o">.</span> <span class="mi">3</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                  <span class="mi">3</span> <span class="mi">3</span> <span class="o">.</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+            <span class="mi">3</span> <span class="mi">3</span> <span class="mi">14811</span> <span class="o">.</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+          <span class="mi">3</span> <span class="mi">3</span> <span class="mi">14811</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">&gt;&gt;</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="o">.</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+           <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="mi">6</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+   <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="mi">6</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span> <span class="n">pop</span>
+     <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.2</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+ <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+           <span class="mi">3</span> <span class="mi">3</span> <span class="mi">3702</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                <span class="mi">3</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                <span class="mi">3</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                  <span class="mi">3</span> <span class="mi">5</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+              <span class="mi">3</span> <span class="mi">5</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                  <span class="mi">3</span> <span class="mi">5</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">5</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                    <span class="mi">8</span> <span class="o">.</span> <span class="mi">5</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                  <span class="mi">8</span> <span class="mi">5</span> <span class="o">.</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">8</span> <span class="mi">5</span> <span class="mi">3702</span> <span class="o">.</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+           <span class="mi">8</span> <span class="mi">5</span> <span class="mi">3702</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">&gt;&gt;</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+              <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="o">.</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+            <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="mi">5</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+    <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="mi">5</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span> <span class="n">pop</span>
+      <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+              <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.2</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+              <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+  <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+              <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+            <span class="mi">8</span> <span class="mi">5</span> <span class="mi">925</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                <span class="mi">8</span> <span class="mi">5</span> <span class="mi">1</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                <span class="mi">8</span> <span class="mi">5</span> <span class="mi">1</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                  <span class="mi">8</span> <span class="mi">6</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+              <span class="mi">8</span> <span class="mi">6</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                  <span class="mi">8</span> <span class="mi">6</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">6</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                   <span class="mi">14</span> <span class="o">.</span> <span class="mi">6</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                 <span class="mi">14</span> <span class="mi">6</span> <span class="o">.</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">14</span> <span class="mi">6</span> <span class="mi">925</span> <span class="o">.</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+           <span class="mi">14</span> <span class="mi">6</span> <span class="mi">925</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">&gt;&gt;</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="o">.</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+           <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="mi">4</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+   <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span> <span class="n">pop</span>
+     <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.2</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+ <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+           <span class="mi">14</span> <span class="mi">6</span> <span class="mi">231</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+               <span class="mi">14</span> <span class="mi">6</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+               <span class="mi">14</span> <span class="mi">6</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                 <span class="mi">14</span> <span class="mi">9</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">14</span> <span class="mi">9</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                 <span class="mi">14</span> <span class="mi">9</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">9</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                   <span class="mi">23</span> <span class="o">.</span> <span class="mi">9</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                 <span class="mi">23</span> <span class="mi">9</span> <span class="o">.</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">23</span> <span class="mi">9</span> <span class="mi">231</span> <span class="o">.</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+           <span class="mi">23</span> <span class="mi">9</span> <span class="mi">231</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">&gt;&gt;</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+              <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="o">.</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+            <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+    <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span> <span class="n">pop</span>
+      <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+              <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.2</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+              <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+  <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+              <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+            <span class="mi">23</span> <span class="mi">9</span> <span class="mi">57</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+               <span class="mi">23</span> <span class="mi">9</span> <span class="mi">1</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+               <span class="mi">23</span> <span class="mi">9</span> <span class="mi">1</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                <span class="mi">23</span> <span class="mi">10</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+            <span class="mi">23</span> <span class="mi">10</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                <span class="mi">23</span> <span class="mi">10</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">10</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                   <span class="mi">33</span> <span class="o">.</span> <span class="mi">10</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                <span class="mi">33</span> <span class="mi">10</span> <span class="o">.</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">33</span> <span class="mi">10</span> <span class="mi">57</span> <span class="o">.</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+           <span class="mi">33</span> <span class="mi">10</span> <span class="mi">57</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">&gt;&gt;</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="o">.</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+           <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+   <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="mi">2</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span> <span class="n">pop</span>
+     <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.2</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+ <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+           <span class="mi">33</span> <span class="mi">10</span> <span class="mi">14</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+              <span class="mi">33</span> <span class="mi">10</span> <span class="mi">2</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+              <span class="mi">33</span> <span class="mi">10</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                <span class="mi">33</span> <span class="mi">12</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+            <span class="mi">33</span> <span class="mi">12</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                <span class="mi">33</span> <span class="mi">12</span> <span class="o">.</span> <span class="o">+</span> <span class="mi">12</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                   <span class="mi">45</span> <span class="o">.</span> <span class="mi">12</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+                <span class="mi">45</span> <span class="mi">12</span> <span class="o">.</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+             <span class="mi">45</span> <span class="mi">12</span> <span class="mi">14</span> <span class="o">.</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+           <span class="mi">45</span> <span class="mi">12</span> <span class="mi">14</span> <span class="mi">2</span> <span class="o">.</span> <span class="o">&gt;&gt;</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+              <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="o">.</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+            <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="mi">1</span> <span class="o">.</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+    <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="mi">1</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="o">.</span> <span class="n">times</span> <span class="n">pop</span>
+      <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="o">.</span> <span class="n">i</span> <span class="n">pop</span>
+              <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.2</span> <span class="n">pop</span>
+              <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="o">.</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="n">pop</span>
+  <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="n">pop</span>
+              <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="o">.</span> <span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="n">pop</span>
+            <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="n">pop</span>
+              <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="o">.</span> <span class="n">PE1</span><span class="mf">.1</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="n">pop</span>
               <span class="mi">45</span> <span class="mi">12</span> <span class="mi">3</span> <span class="o">.</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="n">pop</span>
                 <span class="mi">45</span> <span class="mi">15</span> <span class="o">.</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="n">pop</span>
             <span class="mi">45</span> <span class="mi">15</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="o">.</span> <span class="n">dupdip</span> <span class="mi">3</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span> <span class="n">pop</span>
@@ -471,10 +471,10 @@ integer terms from the list.</p>
 </section>
 <section id="let-s-refactor">
 <h3>Let’s refactor<a class="headerlink" href="#let-s-refactor" title="Permalink to this headline">¶</a></h3>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>  <span class="mi">14811</span> <span class="mi">7</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-  <span class="mi">14811</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-  <span class="mi">14811</span> <span class="n">n</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-<span class="n">n</span> <span class="mi">14811</span> <span class="n">swap</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>  <span class="mi">14811</span> <span class="mi">7</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+  <span class="mi">14811</span> <span class="mi">4</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+  <span class="mi">14811</span> <span class="n">n</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+<span class="n">n</span> <span class="mi">14811</span> <span class="n">swap</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
 </pre></div>
 </div>
 <div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;PE1.3 == 14811 swap [PE1.2] times pop&#39;</span><span class="p">)</span>
@@ -493,10 +493,10 @@ integer terms from the list.</p>
 <p>Here’s our joy program all in one place. It doesn’t make so much sense,
 but if you have read through the above description of how it was derived
 I hope it’s clear.</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">PE1</span><span class="o">.</span><span class="mi">1</span> <span class="o">==</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span>
-<span class="n">PE1</span><span class="o">.</span><span class="mi">2</span> <span class="o">==</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
-<span class="n">PE1</span><span class="o">.</span><span class="mi">3</span> <span class="o">==</span> <span class="mi">14811</span> <span class="n">swap</span> <span class="p">[</span><span class="n">PE1</span><span class="o">.</span><span class="mi">2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
-<span class="n">PE1</span> <span class="o">==</span> <span class="mi">0</span> <span class="mi">0</span> <span class="mi">66</span> <span class="p">[</span><span class="mi">7</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">3</span><span class="p">]</span> <span class="n">times</span> <span class="mi">4</span> <span class="n">PE1</span><span class="o">.</span><span class="mi">3</span> <span class="n">pop</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">PE1</span><span class="mf">.1</span> <span class="o">==</span> <span class="o">+</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">dupdip</span>
+<span class="n">PE1</span><span class="mf">.2</span> <span class="o">==</span> <span class="p">[</span><span class="mi">3</span> <span class="o">&amp;</span> <span class="n">PE1</span><span class="mf">.1</span><span class="p">]</span> <span class="n">dupdip</span> <span class="mi">2</span> <span class="o">&gt;&gt;</span>
+<span class="n">PE1</span><span class="mf">.3</span> <span class="o">==</span> <span class="mi">14811</span> <span class="n">swap</span> <span class="p">[</span><span class="n">PE1</span><span class="mf">.2</span><span class="p">]</span> <span class="n">times</span> <span class="n">pop</span>
+<span class="n">PE1</span> <span class="o">==</span> <span class="mi">0</span> <span class="mi">0</span> <span class="mi">66</span> <span class="p">[</span><span class="mi">7</span> <span class="n">PE1</span><span class="mf">.3</span><span class="p">]</span> <span class="n">times</span> <span class="mi">4</span> <span class="n">PE1</span><span class="mf">.3</span> <span class="n">pop</span>
 </pre></div>
 </div>
 </section>
@@ -697,6 +697,7 @@ is just:</p>
 <li class="toctree-l2"><a class="reference internal" href="Treestep.html">Treating Trees II: <code class="docutils literal notranslate"><span class="pre">treestep</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="Generator_Programs.html">Using <code class="docutils literal notranslate"><span class="pre">x</span></code> to Generate Values</a></li>
 <li class="toctree-l2"><a class="reference internal" href="Newton-Raphson.html">Newton’s method</a></li>
+<li class="toctree-l2"><a class="reference internal" href="Square_Spiral.html">Square Spiral Example Joy Code</a></li>
 <li class="toctree-l2"><a class="reference internal" href="Zipper.html">Traversing Datastructures with Zippers</a></li>
 <li class="toctree-l2"><a class="reference internal" href="Types.html">The Blissful Elegance of Typing Joy</a></li>
 <li class="toctree-l2"><a class="reference internal" href="TypeChecking.html">Type Checking</a></li>
@@ -747,7 +748,7 @@ is just:</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/Intro.html

@@ -369,7 +369,7 @@ developing structured processes.</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/Newton-Raphson.html

@@ -13,7 +13,7 @@
     <script src="../_static/jquery.js"></script>
     <script src="../_static/underscore.js"></script>
     <script src="../_static/doctools.js"></script>
-    <script defer="defer" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
+    <script async="async" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
     <link rel="index" title="Index" href="../genindex.html" />
     <link rel="search" title="Search" href="../search.html" />
     <link rel="next" title="Square Spiral Example Joy Code" href="Square_Spiral.html" />
@@ -40,7 +40,7 @@
 to write a function that can compute the square root of a number.</p>
 <p>Cf. <a class="reference external" href="https://www.cs.kent.ac.uk/people/staff/dat/miranda/whyfp90.pdf">“Why Functional Programming Matters” by John
 Hughes</a></p>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">notebook_preamble</span> <span class="kn">import</span> <span class="n">J</span><span class="p">,</span> <span class="n">V</span><span class="p">,</span> <span class="n">define</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>from notebook_preamble import J, V, define
 </pre></div>
 </div>
 <section id="a-generator-for-approximations">
@@ -92,10 +92,10 @@ function we’re writing. If we let 1 be the initial approximation:</p>
 <span class="mi">1</span>   <span class="p">[</span><span class="n">dup</span> <span class="mi">23</span> <span class="n">over</span> <span class="o">/</span> <span class="o">+</span> <span class="mi">2</span> <span class="o">/</span><span class="p">]</span>                    <span class="n">make_generator</span>
 </pre></div>
 </div>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;gsra 1 swap [over / + 2 /] cons [dup] swoncat make_generator&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>define(&#39;gsra 1 swap [over / + 2 /] cons [dup] swoncat make_generator&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;23 gsra&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>J(&#39;23 gsra&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span> <span class="p">[</span><span class="n">dup</span> <span class="mi">23</span> <span class="n">over</span> <span class="o">/</span> <span class="o">+</span> <span class="mi">2</span> <span class="o">/</span><span class="p">]</span> <span class="n">codireco</span><span class="p">]</span>
@@ -103,7 +103,7 @@ function we’re writing. If we let 1 be the initial approximation:</p>
 </div>
 <p>Let’s drive the generator a few time (with the <code class="docutils literal notranslate"><span class="pre">x</span></code> combinator) and
 square the approximation to see how well it works…</p>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;23 gsra 6 [x popd] times first sqr&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>J(&#39;23 gsra 6 [x popd] times first sqr&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mf">23.0000000001585</span>
@@ -145,7 +145,7 @@ generated already and epsilon ε is handy on the stack…</p>
 <span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">a</span><span class="o">-</span><span class="n">b</span><span class="p">)</span><span class="o">&lt;=</span><span class="n">ε</span><span class="p">)</span>
 </pre></div>
 </div>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;_within_P [first - abs] dip &lt;=&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>define(&#39;_within_P [first - abs] dip &lt;=&#39;)
 </pre></div>
 </div>
 </section>
@@ -157,7 +157,7 @@ generated already and epsilon ε is handy on the stack…</p>
    <span class="n">b</span>
 </pre></div>
 </div>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;_within_B roll&lt; popop first&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>define(&#39;_within_B roll&lt; popop first&#39;)
 </pre></div>
 </div>
 </section>
@@ -182,7 +182,7 @@ generated already and epsilon ε is handy on the stack…</p>
 <span class="n">b</span> <span class="p">[</span><span class="n">c</span> <span class="n">G</span><span class="p">]</span> <span class="n">ε</span> <span class="n">within</span>
 </pre></div>
 </div>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;_within_R [popd x] dip&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>define(&#39;_within_R [popd x] dip&#39;)
 </pre></div>
 </div>
 </section>
@@ -194,33 +194,33 @@ generated already and epsilon ε is handy on the stack…</p>
 <span class="n">a</span> <span class="p">[</span><span class="n">b</span> <span class="n">G</span><span class="p">]</span> <span class="n">ε</span> <span class="o">...</span>
 </pre></div>
 </div>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;within x 0.000000001 [_within_P] [_within_B] [_within_R] tailrec&#39;</span><span class="p">)</span>
-<span class="n">define</span><span class="p">(</span><span class="s1">&#39;sqrt gsra within&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>define(&#39;within x 0.000000001 [_within_P] [_within_B] [_within_R] tailrec&#39;)
+define(&#39;sqrt gsra within&#39;)
 </pre></div>
 </div>
 <p>Try it out…</p>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;36 sqrt&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>J(&#39;36 sqrt&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mf">6.0</span>
 </pre></div>
 </div>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;23 sqrt&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>J(&#39;23 sqrt&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mf">4.795831523312719</span>
 </pre></div>
 </div>
 <p>Check it.</p>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="mf">4.795831523312719</span><span class="o">**</span><span class="mi">2</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>4.795831523312719**2
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mf">22.999999999999996</span>
 </pre></div>
 </div>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">sqrt</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>from math import sqrt
 
-<span class="n">sqrt</span><span class="p">(</span><span class="mi">23</span><span class="p">)</span>
+sqrt(23)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mf">4.795831523312719</span>
@@ -316,7 +316,7 @@ generated already and epsilon ε is handy on the stack…</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/NoUpdates.html

@@ -93,6 +93,7 @@
 <li class="toctree-l2"><a class="reference internal" href="Treestep.html">Treating Trees II: <code class="docutils literal notranslate"><span class="pre">treestep</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="Generator_Programs.html">Using <code class="docutils literal notranslate"><span class="pre">x</span></code> to Generate Values</a></li>
 <li class="toctree-l2"><a class="reference internal" href="Newton-Raphson.html">Newton’s method</a></li>
+<li class="toctree-l2"><a class="reference internal" href="Square_Spiral.html">Square Spiral Example Joy Code</a></li>
 <li class="toctree-l2"><a class="reference internal" href="Zipper.html">Traversing Datastructures with Zippers</a></li>
 <li class="toctree-l2"><a class="reference internal" href="Types.html">The Blissful Elegance of Typing Joy</a></li>
 <li class="toctree-l2"><a class="reference internal" href="TypeChecking.html">Type Checking</a></li>
@@ -143,7 +144,7 @@
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/Ordered_Binary_Trees.html

@@ -63,7 +63,7 @@ the Sufficiently Smart Compiler can be modified to use an optimized
 implementation under the hood. (Where does the “type” come from? It has
 a contingent existence predicated on the disciplined use of these
 functions on otherwise undistinguished Joy datastructures.)</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">notebook_preamble</span> <span class="kn">import</span> <span class="n">D</span><span class="p">,</span> <span class="n">J</span><span class="p">,</span> <span class="n">V</span><span class="p">,</span> <span class="n">define</span><span class="p">,</span> <span class="n">DefinitionWrapper</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>from notebook_preamble import D, J, V, define, DefinitionWrapper
 </pre></div>
 </div>
 <section id="adding-nodes-to-the-tree">
@@ -100,10 +100,10 @@ functions on otherwise undistinguished Joy datastructures.)</p>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Tree</span><span class="o">-</span><span class="n">new</span> <span class="o">==</span> <span class="n">swap</span> <span class="p">[[]</span> <span class="p">[]]</span> <span class="n">cons</span> <span class="n">cons</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;Tree-new == swap [[] []] cons cons&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;Tree-new == swap [[] []] cons cons&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;&quot;v&quot; &quot;k&quot; Tree-new&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;&quot;v&quot; &quot;k&quot; Tree-new&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;k&#39;</span> <span class="s1">&#39;v&#39;</span> <span class="p">[]</span> <span class="p">[]]</span>
@@ -159,10 +159,10 @@ comparison operator:</p>
 <span class="n">P</span>   <span class="o">==</span> <span class="n">pop</span> <span class="n">roll</span><span class="o">&gt;</span> <span class="n">pop</span> <span class="n">first</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;P == pop roll&gt; pop first&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;P == pop roll&gt; pop first&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[&quot;old_key&quot; 23 [] []] 17 &quot;new_key&quot; [&quot;...&quot;] P&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[&quot;old_key&quot; 23 [] []] 17 &quot;new_key&quot; [&quot;...&quot;] P&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="s1">&#39;new_key&#39;</span> <span class="s1">&#39;old_key&#39;</span>
@@ -217,10 +217,10 @@ stack:</p>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">T</span> <span class="o">==</span> <span class="n">cons</span> <span class="n">cons</span> <span class="p">[</span><span class="n">dipdd</span><span class="p">]</span> <span class="n">cons</span> <span class="n">infra</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;T == cons cons [dipdd] cons infra&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;T == cons cons [dipdd] cons infra&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[&quot;old_k&quot; &quot;old_value&quot; &quot;left&quot; &quot;right&quot;] &quot;new_value&quot; &quot;new_key&quot; [&quot;Tree-add&quot;] T&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[&quot;old_k&quot; &quot;old_value&quot; &quot;left&quot; &quot;right&quot;] &quot;new_value&quot; &quot;new_key&quot; [&quot;Tree-add&quot;] T&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;old_k&#39;</span> <span class="s1">&#39;old_value&#39;</span> <span class="s1">&#39;left&#39;</span> <span class="s1">&#39;Tree-add&#39;</span> <span class="s1">&#39;new_key&#39;</span> <span class="s1">&#39;new_value&#39;</span> <span class="s1">&#39;right&#39;</span><span class="p">]</span>
@@ -234,7 +234,7 @@ stack:</p>
 <span class="p">[</span><span class="n">key_n</span> <span class="n">value_n</span> <span class="n">left</span> <span class="n">right</span><span class="p">]</span> <span class="n">value</span> <span class="n">key</span> <span class="p">[</span><span class="n">Tree</span><span class="o">-</span><span class="n">add</span><span class="p">]</span> <span class="p">[</span><span class="n">P</span> <span class="o">&lt;</span><span class="p">]</span> <span class="p">[</span><span class="n">Te</span><span class="p">]</span> <span class="p">[</span><span class="n">Ee</span><span class="p">]</span> <span class="n">ifte</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;E == [P &lt;] [Te] [Ee] ifte&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;E == [P &lt;] [Te] [Ee] ifte&#39;)
 </pre></div>
 </div>
 <p>In this case <code class="docutils literal notranslate"><span class="pre">Te</span></code> works that same as <code class="docutils literal notranslate"><span class="pre">T</span></code> but on the left child tree
@@ -243,10 +243,10 @@ instead of the right, so the only difference is that it must use
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Te</span> <span class="o">==</span> <span class="n">cons</span> <span class="n">cons</span> <span class="p">[</span><span class="n">dipd</span><span class="p">]</span> <span class="n">cons</span> <span class="n">infra</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;Te == cons cons [dipd] cons infra&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;Te == cons cons [dipd] cons infra&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[&quot;old_k&quot; &quot;old_value&quot; &quot;left&quot; &quot;right&quot;] &quot;new_value&quot; &quot;new_key&quot; [&quot;Tree-add&quot;] Te&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[&quot;old_k&quot; &quot;old_value&quot; &quot;left&quot; &quot;right&quot;] &quot;new_value&quot; &quot;new_key&quot; [&quot;Tree-add&quot;] Te&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;old_k&#39;</span> <span class="s1">&#39;old_value&#39;</span> <span class="s1">&#39;Tree-add&#39;</span> <span class="s1">&#39;new_key&#39;</span> <span class="s1">&#39;new_value&#39;</span> <span class="s1">&#39;left&#39;</span> <span class="s1">&#39;right&#39;</span><span class="p">]</span>
@@ -274,10 +274,10 @@ instead of the right, so the only difference is that it must use
               <span class="p">[</span><span class="n">key</span> <span class="n">new_value</span> <span class="n">left</span> <span class="n">right</span><span class="p">]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;Ee == pop swap roll&lt; rest rest cons cons&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;Ee == pop swap roll&lt; rest rest cons cons&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[&quot;k&quot; &quot;old_value&quot; &quot;left&quot; &quot;right&quot;] &quot;new_value&quot; &quot;k&quot; [&quot;Tree-add&quot;] Ee&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[&quot;k&quot; &quot;old_value&quot; &quot;left&quot; &quot;right&quot;] &quot;new_value&quot; &quot;k&quot; [&quot;Tree-add&quot;] Ee&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;k&#39;</span> <span class="s1">&#39;new_value&#39;</span> <span class="s1">&#39;left&#39;</span> <span class="s1">&#39;right&#39;</span><span class="p">]</span>
@@ -302,43 +302,43 @@ instead of the right, so the only difference is that it must use
 <span class="n">Tree</span><span class="o">-</span><span class="n">add</span> <span class="o">==</span> <span class="p">[</span><span class="n">popop</span> <span class="ow">not</span><span class="p">]</span> <span class="p">[[</span><span class="n">pop</span><span class="p">]</span> <span class="n">dipd</span> <span class="n">Tree</span><span class="o">-</span><span class="n">new</span><span class="p">]</span> <span class="p">[]</span> <span class="p">[</span><span class="n">R</span><span class="p">]</span> <span class="n">genrec</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;Tree-add == [popop not] [[pop] dipd Tree-new] [] [[P &gt;] [T] [E] ifte] genrec&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;Tree-add == [popop not] [[pop] dipd Tree-new] [] [[P &gt;] [T] [E] ifte] genrec&#39;)
 </pre></div>
 </div>
 </section>
 <section id="examples">
 <h3>Examples<a class="headerlink" href="#examples" title="Permalink to this headline">¶</a></h3>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[] 23 &quot;b&quot; Tree-add&#39;</span><span class="p">)</span>  <span class="c1"># Initial</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[] 23 &quot;b&quot; Tree-add&#39;)  # Initial
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;b&#39;</span> <span class="mi">23</span> <span class="p">[]</span> <span class="p">[]]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[&quot;b&quot; 23 [] []] 88 &quot;c&quot; Tree-add&#39;</span><span class="p">)</span>  <span class="c1"># Greater than</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[&quot;b&quot; 23 [] []] 88 &quot;c&quot; Tree-add&#39;)  # Greater than
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;b&#39;</span> <span class="mi">23</span> <span class="p">[]</span> <span class="p">[</span><span class="s1">&#39;c&#39;</span> <span class="mi">88</span> <span class="p">[]</span> <span class="p">[]]]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[&quot;b&quot; 23 [] []] 88 &quot;a&quot; Tree-add&#39;</span><span class="p">)</span>  <span class="c1"># Less than</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[&quot;b&quot; 23 [] []] 88 &quot;a&quot; Tree-add&#39;)  # Less than
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;b&#39;</span> <span class="mi">23</span> <span class="p">[</span><span class="s1">&#39;a&#39;</span> <span class="mi">88</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[]]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[&quot;b&quot; 23 [] []] 88 &quot;b&quot; Tree-add&#39;</span><span class="p">)</span>  <span class="c1"># Equal to</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[&quot;b&quot; 23 [] []] 88 &quot;b&quot; Tree-add&#39;)  # Equal to
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;b&#39;</span> <span class="mi">88</span> <span class="p">[]</span> <span class="p">[]]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[] 23 &quot;b&quot; Tree-add 88 &quot;a&quot; Tree-add 44 &quot;c&quot; Tree-add&#39;</span><span class="p">)</span>  <span class="c1"># Series.</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[] 23 &quot;b&quot; Tree-add 88 &quot;a&quot; Tree-add 44 &quot;c&quot; Tree-add&#39;)  # Series.
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;b&#39;</span> <span class="mi">23</span> <span class="p">[</span><span class="s1">&#39;a&#39;</span> <span class="mi">88</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[</span><span class="s1">&#39;c&#39;</span> <span class="mi">44</span> <span class="p">[]</span> <span class="p">[]]]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[] [[23 &quot;b&quot;] [88 &quot;a&quot;] [44 &quot;c&quot;]] [i Tree-add] step&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[] [[23 &quot;b&quot;] [88 &quot;a&quot;] [44 &quot;c&quot;]] [i Tree-add] step&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;b&#39;</span> <span class="mi">23</span> <span class="p">[</span><span class="s1">&#39;a&#39;</span> <span class="mi">88</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[</span><span class="s1">&#39;c&#39;</span> <span class="mi">44</span> <span class="p">[]</span> <span class="p">[]]]</span>
@@ -365,19 +365,19 @@ values:</p>
                 <span class="n">L</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s2">&quot;1 0 [&#39;G&#39;] [&#39;E&#39;] [&#39;L&#39;] cmp&quot;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&quot;1 0 [&#39;G&#39;] [&#39;E&#39;] [&#39;L&#39;] cmp&quot;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="s1">&#39;G&#39;</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s2">&quot;1 1 [&#39;G&#39;] [&#39;E&#39;] [&#39;L&#39;] cmp&quot;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&quot;1 1 [&#39;G&#39;] [&#39;E&#39;] [&#39;L&#39;] cmp&quot;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="s1">&#39;E&#39;</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s2">&quot;0 1 [&#39;G&#39;] [&#39;E&#39;] [&#39;L&#39;] cmp&quot;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&quot;0 1 [&#39;G&#39;] [&#39;E&#39;] [&#39;L&#39;] cmp&quot;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="s1">&#39;L&#39;</span>
@@ -414,7 +414,7 @@ node key (by throwing everything else away):</p>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">P</span> <span class="o">==</span> <span class="n">over</span> <span class="p">[</span><span class="n">popop</span> <span class="n">popop</span> <span class="n">first</span><span class="p">]</span> <span class="n">nullary</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;P == over [popop popop first] nullary&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;P == over [popop popop first] nullary&#39;)
 </pre></div>
 </div>
 <p>Using <code class="docutils literal notranslate"><span class="pre">cmp</span></code> to simplify <cite>our code above at
@@ -434,10 +434,10 @@ to understand:</p>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Tree</span><span class="o">-</span><span class="n">add</span> <span class="o">==</span> <span class="p">[</span><span class="n">popop</span> <span class="ow">not</span><span class="p">]</span> <span class="p">[[</span><span class="n">pop</span><span class="p">]</span> <span class="n">dipd</span> <span class="n">Tree</span><span class="o">-</span><span class="n">new</span><span class="p">]</span> <span class="p">[]</span> <span class="p">[</span><span class="n">P</span> <span class="p">[</span><span class="n">T</span><span class="p">]</span> <span class="p">[</span><span class="n">Ee</span><span class="p">]</span> <span class="p">[</span><span class="n">Te</span><span class="p">]</span> <span class="n">cmp</span><span class="p">]</span> <span class="n">genrec</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;Tree-add == [popop not] [[pop] dipd Tree-new] [] [P [T] [Ee] [Te] cmp] genrec&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;Tree-add == [popop not] [[pop] dipd Tree-new] [] [P [T] [Ee] [Te] cmp] genrec&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[] 23 &quot;b&quot; Tree-add 88 &quot;a&quot; Tree-add 44 &quot;c&quot; Tree-add&#39;</span><span class="p">)</span>  <span class="c1"># Still works.</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[] 23 &quot;b&quot; Tree-add 88 &quot;a&quot; Tree-add 44 &quot;c&quot; Tree-add&#39;)  # Still works.
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;b&#39;</span> <span class="mi">23</span> <span class="p">[</span><span class="s1">&#39;a&#39;</span> <span class="mi">88</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[</span><span class="s1">&#39;c&#39;</span> <span class="mi">44</span> <span class="p">[]</span> <span class="p">[]]]</span>
@@ -545,22 +545,22 @@ with an interesting situation:</p>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Tree</span><span class="o">-</span><span class="nb">iter</span> <span class="o">==</span> <span class="p">[</span><span class="ow">not</span><span class="p">]</span> <span class="p">[</span><span class="n">pop</span><span class="p">]</span> <span class="n">roll</span><span class="o">&lt;</span> <span class="p">[</span><span class="n">dupdip</span> <span class="n">rest</span> <span class="n">rest</span><span class="p">]</span> <span class="n">cons</span> <span class="p">[</span><span class="n">step</span><span class="p">]</span> <span class="n">genrec</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;Tree-iter == [not] [pop] roll&lt; [dupdip rest rest] cons [step] genrec&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;Tree-iter == [not] [pop] roll&lt; [dupdip rest rest] cons [step] genrec&#39;)
 </pre></div>
 </div>
 </section>
 <section id="id1">
 <h3>Examples<a class="headerlink" href="#id1" title="Permalink to this headline">¶</a></h3>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[] [foo] Tree-iter&#39;</span><span class="p">)</span>  <span class="c1">#  It doesn&#39;t matter what F is as it won&#39;t be used.</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[] [foo] Tree-iter&#39;)  #  It doesn&#39;t matter what F is as it won&#39;t be used.
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s2">&quot;[&#39;b&#39; 23 [&#39;a&#39; 88 [] []] [&#39;c&#39; 44 [] []]] [first] Tree-iter&quot;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&quot;[&#39;b&#39; 23 [&#39;a&#39; 88 [] []] [&#39;c&#39; 44 [] []]] [first] Tree-iter&quot;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="s1">&#39;b&#39;</span> <span class="s1">&#39;a&#39;</span> <span class="s1">&#39;c&#39;</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s2">&quot;[&#39;b&#39; 23 [&#39;a&#39; 88 [] []] [&#39;c&#39; 44 [] []]] [second] Tree-iter&quot;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&quot;[&#39;b&#39; 23 [&#39;a&#39; 88 [] []] [&#39;c&#39; 44 [] []]] [second] Tree-iter&quot;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">23</span> <span class="mi">88</span> <span class="mi">44</span>
@@ -575,16 +575,16 @@ to e.g. 0 and ignoring them. It’s set-like in that duplicate items added
 to it will only occur once within it, and we can query it in
 <cite>:math:`O(log_2 N)</cite> &lt;<a class="reference external" href="https://en.wikipedia.org/wiki/Binary_search_tree#cite_note-2">https://en.wikipedia.org/wiki/Binary_search_tree#cite_note-2</a>&gt;`__
 time.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[] [3 9 5 2 8 6 7 8 4] [0 swap Tree-add] step&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[] [3 9 5 2 8 6 7 8 4] [0 swap Tree-add] step&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">3</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[</span><span class="mi">9</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">5</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">4</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[</span><span class="mi">8</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">6</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[</span><span class="mi">7</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]]</span> <span class="p">[]]]</span> <span class="p">[]]]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;to_set == [] swap [0 swap Tree-add] step&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;to_set == [] swap [0 swap Tree-add] step&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[3 9 5 2 8 6 7 8 4] to_set&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[3 9 5 2 8 6 7 8 4] to_set&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">3</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[</span><span class="mi">9</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">5</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">4</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[</span><span class="mi">8</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">6</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[</span><span class="mi">7</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]]</span> <span class="p">[]]]</span> <span class="p">[]]]</span>
@@ -592,10 +592,10 @@ time.</p>
 </div>
 <p>And with that we can write a little program <code class="docutils literal notranslate"><span class="pre">unique</span></code> to remove
 duplicate items from a list.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;unique == [to_set [first] Tree-iter] cons run&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;unique == [to_set [first] Tree-iter] cons run&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[3 9 3 5 2 9 8 8 8 6 2 7 8 4 3] unique&#39;</span><span class="p">)</span>  <span class="c1"># Filter duplicate items.</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[3 9 3 5 2 9 8 8 8 6 2 7 8 4 3] unique&#39;)  # Filter duplicate items.
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">7</span> <span class="mi">6</span> <span class="mi">8</span> <span class="mi">4</span> <span class="mi">5</span> <span class="mi">9</span> <span class="mi">2</span> <span class="mi">3</span><span class="p">]</span>
@@ -679,23 +679,23 @@ right side:</p>
 </pre></div>
 </div>
 <p>Now we can sort sequences.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="c1">#define(&#39;Tree-iter-order == [not] [pop] [dup third] [[cons dip] dupdip [[first] dupdip] dip [rest rest rest first] dip i] genrec&#39;)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>#define(&#39;Tree-iter-order == [not] [pop] [dup third] [[cons dip] dupdip [[first] dupdip] dip [rest rest rest first] dip i] genrec&#39;)
 
 
-<span class="n">DefinitionWrapper</span><span class="o">.</span><span class="n">add_definitions</span><span class="p">(</span><span class="s1">&#39;&#39;&#39;</span>
+DefinitionWrapper.add_definitions(&#39;&#39;&#39;
 
-<span class="s1">fourth == rest rest rest first</span>
+fourth == rest rest rest first
 
-<span class="s1">proc_left == [cons dip] dupdip</span>
-<span class="s1">proc_current == [[first] dupdip] dip</span>
-<span class="s1">proc_right == [fourth] dip i</span>
+proc_left == [cons dip] dupdip
+proc_current == [[first] dupdip] dip
+proc_right == [fourth] dip i
 
-<span class="s1">Tree-iter-order == [not] [pop] [dup third] [proc_left proc_current proc_right] genrec</span>
+Tree-iter-order == [not] [pop] [dup third] [proc_left proc_current proc_right] genrec
 
-<span class="s1">&#39;&#39;&#39;</span><span class="p">,</span> <span class="n">D</span><span class="p">)</span>
+&#39;&#39;&#39;, D)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[3 9 5 2 8 6 7 8 4] to_set Tree-iter-order&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[3 9 5 2 8 6 7 8 4] to_set Tree-iter-order&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">2</span> <span class="mi">3</span> <span class="mi">4</span> <span class="mi">5</span> <span class="mi">6</span> <span class="mi">7</span> <span class="mi">8</span> <span class="mi">9</span>
@@ -835,54 +835,54 @@ because there’s no value to discard.</p>
 <span class="n">Tree</span><span class="o">-</span><span class="n">get</span> <span class="o">==</span> <span class="p">[</span><span class="n">pop</span> <span class="ow">not</span><span class="p">]</span> <span class="n">swap</span> <span class="p">[]</span> <span class="p">[</span><span class="n">P</span> <span class="p">[</span><span class="n">T</span><span class="o">&gt;</span><span class="p">]</span> <span class="p">[</span><span class="n">E</span><span class="p">]</span> <span class="p">[</span><span class="n">T</span><span class="o">&lt;</span><span class="p">]</span> <span class="n">cmp</span><span class="p">]</span> <span class="n">genrec</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="c1"># I don&#39;t want to deal with name conflicts with the above so I&#39;m inlining everything here.</span>
-<span class="c1"># The original Joy system has &quot;hide&quot; which is a meta-command which allows you to use named</span>
-<span class="c1"># definitions that are only in scope for a given definition.  I don&#39;t want to implement</span>
-<span class="c1"># that (yet) so...</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span># I don&#39;t want to deal with name conflicts with the above so I&#39;m inlining everything here.
+# The original Joy system has &quot;hide&quot; which is a meta-command which allows you to use named
+# definitions that are only in scope for a given definition.  I don&#39;t want to implement
+# that (yet) so...
 
 
-<span class="n">define</span><span class="p">(</span><span class="s1">&#39;&#39;&#39;</span>
-<span class="s1">Tree-get == [pop not] swap [] [</span>
-<span class="s1">  over [pop popop first] nullary</span>
-<span class="s1">  [[fourth] dipd i]</span>
-<span class="s1">  [popop second]</span>
-<span class="s1">  [[third] dipd i]</span>
-<span class="s1">  cmp</span>
-<span class="s1">  ] genrec</span>
-<span class="s1">&#39;&#39;&#39;</span><span class="p">)</span>
+define(&#39;&#39;&#39;
+Tree-get == [pop not] swap [] [
+  over [pop popop first] nullary
+  [[fourth] dipd i]
+  [popop second]
+  [[third] dipd i]
+  cmp
+  ] genrec
+&#39;&#39;&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[&quot;gary&quot; 23 [] []] &quot;mike&quot; [popd &quot; not in tree&quot; +] Tree-get&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[&quot;gary&quot; 23 [] []] &quot;mike&quot; [popd &quot; not in tree&quot; +] Tree-get&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="s1">&#39;mike not in tree&#39;</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[&quot;gary&quot; 23 [] []] &quot;gary&quot; [popop &quot;err&quot;] Tree-get&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[&quot;gary&quot; 23 [] []] &quot;gary&quot; [popop &quot;err&quot;] Tree-get&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">23</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;&#39;&#39;</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;&#39;&#39;
 
-<span class="s1">    [] [[0 &#39;a&#39;] [1 &#39;b&#39;] [2 &#39;c&#39;]] [i Tree-add] step</span>
+    [] [[0 &#39;a&#39;] [1 &#39;b&#39;] [2 &#39;c&#39;]] [i Tree-add] step
 
-<span class="s1">    &#39;c&#39; [popop &#39;not found&#39;] Tree-get</span>
+    &#39;c&#39; [popop &#39;not found&#39;] Tree-get
 
-<span class="s1">&#39;&#39;&#39;</span><span class="p">)</span>
+&#39;&#39;&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">2</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;&#39;&#39;</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;&#39;&#39;
 
-<span class="s1">    [] [[0 &#39;a&#39;] [1 &#39;b&#39;] [2 &#39;c&#39;]] [i Tree-add] step</span>
+    [] [[0 &#39;a&#39;] [1 &#39;b&#39;] [2 &#39;c&#39;]] [i Tree-add] step
 
-<span class="s1">    &#39;d&#39; [popop &#39;not found&#39;] Tree-get</span>
+    &#39;d&#39; [popop &#39;not found&#39;] Tree-get
 
-<span class="s1">&#39;&#39;&#39;</span><span class="p">)</span>
+&#39;&#39;&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="s1">&#39;not found&#39;</span>
@@ -1160,11 +1160,11 @@ E == [
 <span class="n">W</span> <span class="o">==</span> <span class="n">dup</span> <span class="n">W</span><span class="o">.</span><span class="n">rightmost</span> <span class="n">W</span><span class="o">.</span><span class="n">unpack</span> <span class="n">over</span>
 <span class="n">E</span><span class="o">.</span><span class="n">clear_stuff</span> <span class="o">==</span> <span class="n">roll</span><span class="o">&gt;</span> <span class="n">popop</span> <span class="n">rest</span>
 <span class="n">E</span><span class="o">.</span><span class="n">delete</span> <span class="o">==</span> <span class="n">cons</span> <span class="n">dipd</span>
-<span class="n">E</span><span class="o">.</span><span class="mi">0</span> <span class="o">==</span> <span class="n">E</span><span class="o">.</span><span class="n">clear_stuff</span> <span class="p">[</span><span class="n">W</span><span class="p">]</span> <span class="n">dip</span> <span class="n">E</span><span class="o">.</span><span class="n">delete</span> <span class="n">swap</span>
+<span class="n">E</span><span class="mf">.0</span> <span class="o">==</span> <span class="n">E</span><span class="o">.</span><span class="n">clear_stuff</span> <span class="p">[</span><span class="n">W</span><span class="p">]</span> <span class="n">dip</span> <span class="n">E</span><span class="o">.</span><span class="n">delete</span> <span class="n">swap</span>
 <span class="n">E</span> <span class="o">==</span> <span class="p">[</span>
     <span class="p">[[</span><span class="n">pop</span> <span class="n">third</span> <span class="ow">not</span><span class="p">]</span> <span class="n">pop</span> <span class="n">fourth</span><span class="p">]</span>
     <span class="p">[[</span><span class="n">pop</span> <span class="n">fourth</span> <span class="ow">not</span><span class="p">]</span> <span class="n">pop</span> <span class="n">third</span><span class="p">]</span>
-    <span class="p">[[</span><span class="n">E</span><span class="o">.</span><span class="mi">0</span><span class="p">]</span> <span class="n">cons</span> <span class="n">infra</span><span class="p">]</span>
+    <span class="p">[[</span><span class="n">E</span><span class="mf">.0</span><span class="p">]</span> <span class="n">cons</span> <span class="n">infra</span><span class="p">]</span>
 <span class="p">]</span> <span class="n">cond</span>
 <span class="n">T</span><span class="o">&gt;</span> <span class="o">==</span> <span class="p">[</span><span class="n">dipd</span><span class="p">]</span> <span class="n">cons</span> <span class="n">infra</span>
 <span class="n">T</span><span class="o">&lt;</span> <span class="o">==</span> <span class="p">[</span><span class="n">dipdd</span><span class="p">]</span> <span class="n">cons</span> <span class="n">infra</span>
@@ -1175,61 +1175,61 @@ E == [
 </div>
 <p>By the standards of the code I’ve written so far, this is a <em>huge</em> Joy
 program.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">DefinitionWrapper</span><span class="o">.</span><span class="n">add_definitions</span><span class="p">(</span><span class="s1">&#39;&#39;&#39;</span>
-<span class="s1">first_two == uncons uncons pop</span>
-<span class="s1">fourth == rest rest rest first</span>
-<span class="s1">?fourth == [] [fourth] [] ifte</span>
-<span class="s1">W.rightmost == [?fourth] [fourth] while</span>
-<span class="s1">E.clear_stuff == roll&gt; popop rest</span>
-<span class="s1">E.delete == cons dipd</span>
-<span class="s1">W == dup W.rightmost first_two over</span>
-<span class="s1">E.0 == E.clear_stuff [W] dip E.delete swap</span>
-<span class="s1">E == [[[pop third not] pop fourth] [[pop fourth not] pop third] [[E.0] cons infra]] cond</span>
-<span class="s1">T&gt; == [dipd] cons infra</span>
-<span class="s1">T&lt; == [dipdd] cons infra</span>
-<span class="s1">R0 == over first swap dup</span>
-<span class="s1">R1 == cons roll&gt; [T&gt;] [E] [T&lt;] cmp</span>
-<span class="s1">Tree-Delete == [pop not] [pop] [R0] [R1] genrec</span>
-<span class="s1">&#39;&#39;&#39;</span><span class="p">,</span> <span class="n">D</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>DefinitionWrapper.add_definitions(&#39;&#39;&#39;
+first_two == uncons uncons pop
+fourth == rest rest rest first
+?fourth == [] [fourth] [] ifte
+W.rightmost == [?fourth] [fourth] while
+E.clear_stuff == roll&gt; popop rest
+E.delete == cons dipd
+W == dup W.rightmost first_two over
+E.0 == E.clear_stuff [W] dip E.delete swap
+E == [[[pop third not] pop fourth] [[pop fourth not] pop third] [[E.0] cons infra]] cond
+T&gt; == [dipd] cons infra
+T&lt; == [dipdd] cons infra
+R0 == over first swap dup
+R1 == cons roll&gt; [T&gt;] [E] [T&lt;] cmp
+Tree-Delete == [pop not] [pop] [R0] [R1] genrec
+&#39;&#39;&#39;, D)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s2">&quot;[&#39;a&#39; 23 [] [&#39;b&#39; 88 [] [&#39;c&#39; 44 [] []]]] &#39;c&#39; Tree-Delete &quot;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&quot;[&#39;a&#39; 23 [] [&#39;b&#39; 88 [] [&#39;c&#39; 44 [] []]]] &#39;c&#39; Tree-Delete &quot;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;a&#39;</span> <span class="mi">23</span> <span class="p">[]</span> <span class="p">[</span><span class="s1">&#39;b&#39;</span> <span class="mi">88</span> <span class="p">[]</span> <span class="p">[]]]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s2">&quot;[&#39;a&#39; 23 [] [&#39;b&#39; 88 [] [&#39;c&#39; 44 [] []]]] &#39;b&#39; Tree-Delete &quot;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&quot;[&#39;a&#39; 23 [] [&#39;b&#39; 88 [] [&#39;c&#39; 44 [] []]]] &#39;b&#39; Tree-Delete &quot;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;a&#39;</span> <span class="mi">23</span> <span class="p">[]</span> <span class="p">[</span><span class="s1">&#39;c&#39;</span> <span class="mi">44</span> <span class="p">[]</span> <span class="p">[]]]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s2">&quot;[&#39;a&#39; 23 [] [&#39;b&#39; 88 [] [&#39;c&#39; 44 [] []]]] &#39;a&#39; Tree-Delete &quot;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&quot;[&#39;a&#39; 23 [] [&#39;b&#39; 88 [] [&#39;c&#39; 44 [] []]]] &#39;a&#39; Tree-Delete &quot;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;b&#39;</span> <span class="mi">88</span> <span class="p">[]</span> <span class="p">[</span><span class="s1">&#39;c&#39;</span> <span class="mi">44</span> <span class="p">[]</span> <span class="p">[]]]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s2">&quot;[&#39;a&#39; 23 [] [&#39;b&#39; 88 [] [&#39;c&#39; 44 [] []]]] &#39;der&#39; Tree-Delete &quot;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&quot;[&#39;a&#39; 23 [] [&#39;b&#39; 88 [] [&#39;c&#39; 44 [] []]]] &#39;der&#39; Tree-Delete &quot;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;a&#39;</span> <span class="mi">23</span> <span class="p">[]</span> <span class="p">[</span><span class="s1">&#39;b&#39;</span> <span class="mi">88</span> <span class="p">[]</span> <span class="p">[</span><span class="s1">&#39;c&#39;</span> <span class="mi">44</span> <span class="p">[]</span> <span class="p">[]]]]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[] [4 2 3 1 6 7 5 ] [0 swap Tree-add] step&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[] [4 2 3 1 6 7 5 ] [0 swap Tree-add] step&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">4</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]]</span> <span class="p">[</span><span class="mi">6</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">5</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[</span><span class="mi">7</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]]]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s2">&quot;[4 0 [2 0 [1 0 [] []] [3 0 [] []]] [6 0 [5 0 [] []] [7 0 [] []]]] 3 Tree-Delete &quot;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&quot;[4 0 [2 0 [1 0 [] []] [3 0 [] []]] [6 0 [5 0 [] []] [7 0 [] []]]] 3 Tree-Delete &quot;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">4</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[]]</span> <span class="p">[</span><span class="mi">6</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">5</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[</span><span class="mi">7</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]]]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s2">&quot;[4 0 [2 0 [1 0 [] []] [3 0 [] []]] [6 0 [5 0 [] []] [7 0 [] []]]] 4 Tree-Delete &quot;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&quot;[4 0 [2 0 [1 0 [] []] [3 0 [] []]] [6 0 [5 0 [] []] [7 0 [] []]]] 4 Tree-Delete &quot;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">3</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[]]</span> <span class="p">[</span><span class="mi">6</span> <span class="mi">0</span> <span class="p">[</span><span class="mi">5</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[</span><span class="mi">7</span> <span class="mi">0</span> <span class="p">[]</span> <span class="p">[]]]]</span>
@@ -1373,7 +1373,7 @@ Tree-delete == [pop not] [pop] [_Tree_delete_R0] [_Tree_delete_R1] genrec
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/Quadratic.html

@@ -13,7 +13,7 @@
     <script src="../_static/jquery.js"></script>
     <script src="../_static/underscore.js"></script>
     <script src="../_static/doctools.js"></script>
-    <script defer="defer" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
+    <script async="async" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
     <link rel="index" title="Index" href="../genindex.html" />
     <link rel="search" title="Search" href="../search.html" />
     <link rel="next" title="Replacing Functions in the Dictionary" href="Replacing.html" />
@@ -34,7 +34,7 @@
 
           <div class="body" role="main">
             
-  <div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">notebook_preamble</span> <span class="kn">import</span> <span class="n">J</span><span class="p">,</span> <span class="n">V</span><span class="p">,</span> <span class="n">define</span>
+  <div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>from notebook_preamble import J, V, define
 </pre></div>
 </div>
 <section id="quadratic-formula">
@@ -100,11 +100,11 @@ the variables:</p>
 </div>
 <p>The three arguments are to the left, so we can “chop off” everything to
 the right and say it’s the definition of the <code class="docutils literal notranslate"><span class="pre">quadratic</span></code> function:</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;quadratic == over [[[neg] dupdip sqr 4] dipd * * - sqrt pm] dip 2 * [/] cons app2&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;quadratic == over [[[neg] dupdip sqr 4] dipd * * - sqrt pm] dip 2 * [/] cons app2&#39;)
 </pre></div>
 </div>
 <p>Let’s try it out:</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;3 1 1 quadratic&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;3 1 1 quadratic&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="o">-</span><span class="mf">0.3819660112501051</span> <span class="o">-</span><span class="mf">2.618033988749895</span>
@@ -114,7 +114,7 @@ the right and say it’s the definition of the <code class="docutils literal not
 lines are the <code class="docutils literal notranslate"><span class="pre">dip</span></code> and <code class="docutils literal notranslate"><span class="pre">dipd</span></code> combinators building the main program
 by incorporating the values on the stack. Then that program runs and you
 get the results. This is pretty typical of Joy code.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;-5 1 4 quadratic&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>V(&#39;-5 1 4 quadratic&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                                                   <span class="o">.</span> <span class="o">-</span><span class="mi">5</span> <span class="mi">1</span> <span class="mi">4</span> <span class="n">quadratic</span>
@@ -253,7 +253,7 @@ get the results. This is pretty typical of Joy code.</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/Recursion_Combinators.html

@@ -33,7 +33,7 @@
 
           <div class="body" role="main">
             
-  <div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">notebook_preamble</span> <span class="kn">import</span> <span class="n">D</span><span class="p">,</span> <span class="n">DefinitionWrapper</span><span class="p">,</span> <span class="n">J</span><span class="p">,</span> <span class="n">V</span><span class="p">,</span> <span class="n">define</span>
+  <div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>from notebook_preamble import D, DefinitionWrapper, J, V, define
 </pre></div>
 </div>
 <section id="recursion-combinators">
@@ -101,18 +101,18 @@ cons list”.</p></li>
 </ul>
 <p>It may be helpful to see this function implemented in imperative Python
 code.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">hylomorphism</span><span class="p">(</span><span class="n">c</span><span class="p">,</span> <span class="n">F</span><span class="p">,</span> <span class="n">P</span><span class="p">,</span> <span class="n">G</span><span class="p">):</span>
-    <span class="sd">&#39;&#39;&#39;Return a hylomorphism function H.&#39;&#39;&#39;</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>def hylomorphism(c, F, P, G):
+    &#39;&#39;&#39;Return a hylomorphism function H.&#39;&#39;&#39;
 
-    <span class="k">def</span> <span class="nf">H</span><span class="p">(</span><span class="n">a</span><span class="p">):</span>
-        <span class="k">if</span> <span class="n">P</span><span class="p">(</span><span class="n">a</span><span class="p">):</span>
-            <span class="n">result</span> <span class="o">=</span> <span class="n">c</span>
-        <span class="k">else</span><span class="p">:</span>
-            <span class="n">b</span><span class="p">,</span> <span class="n">aa</span> <span class="o">=</span> <span class="n">G</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
-            <span class="n">result</span> <span class="o">=</span> <span class="n">F</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">H</span><span class="p">(</span><span class="n">aa</span><span class="p">))</span>  <span class="c1"># b is stored in the stack frame during recursive call to H().</span>
-        <span class="k">return</span> <span class="n">result</span>
+    def H(a):
+        if P(a):
+            result = c
+        else:
+            b, aa = G(a)
+            result = F(b, H(aa))  # b is stored in the stack frame during recursive call to H().
+        return result
 
-    <span class="k">return</span> <span class="n">H</span>
+    return H
 </pre></div>
 </div>
 <p>Cf. <a class="reference external" href="http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.41.125">“Bananas, Lenses, &amp; Barbed
@@ -185,7 +185,7 @@ the left so we have a definition for <code class="docutils literal notranslate">
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">hylomorphism</span> <span class="o">==</span> <span class="p">[</span><span class="n">unit</span> <span class="p">[</span><span class="n">pop</span><span class="p">]</span> <span class="n">swoncat</span><span class="p">]</span> <span class="n">dipd</span> <span class="p">[</span><span class="n">dip</span><span class="p">]</span> <span class="n">swoncat</span> <span class="n">genrec</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;hylomorphism == [unit [pop] swoncat] dipd [dip] swoncat genrec&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;hylomorphism == [unit [pop] swoncat] dipd [dip] swoncat genrec&#39;)
 </pre></div>
 </div>
 <section id="example-finding-triangular-numbers">
@@ -200,17 +200,17 @@ of all positive integers less than that one. (In this case the types
 <li><p><code class="docutils literal notranslate"><span class="pre">[G]</span></code> is <code class="docutils literal notranslate"><span class="pre">[--</span> <span class="pre">dup]</span></code></p></li>
 <li><p><code class="docutils literal notranslate"><span class="pre">[F]</span></code> is <code class="docutils literal notranslate"><span class="pre">[+]</span></code></p></li>
 </ul>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;triangular_number == [1 &lt;=] 0 [-- dup] [+] hylomorphism&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;triangular_number == [1 &lt;=] 0 [-- dup] [+] hylomorphism&#39;)
 </pre></div>
 </div>
 <p>Let’s try it:</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;5 triangular_number&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;5 triangular_number&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">10</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[0 1 2 3 4 5 6] [triangular_number] map&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[0 1 2 3 4 5 6] [triangular_number] map&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">0</span> <span class="mi">0</span> <span class="mi">1</span> <span class="mi">3</span> <span class="mi">6</span> <span class="mi">10</span> <span class="mi">15</span><span class="p">]</span>
@@ -372,10 +372,10 @@ values.</p>
    <span class="o">==</span> <span class="p">[</span><span class="mi">0</span> <span class="o">&lt;=</span><span class="p">]</span> <span class="p">[</span><span class="n">pop</span> <span class="p">[]]</span> <span class="p">[</span><span class="o">--</span> <span class="n">dup</span><span class="p">]</span> <span class="p">[</span><span class="n">dip</span> <span class="n">swons</span><span class="p">]</span> <span class="n">genrec</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;range == [0 &lt;=] [] [-- dup] [swons] hylomorphism&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;range == [0 &lt;=] [] [-- dup] [swons] hylomorphism&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;5 range&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;5 range&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">4</span> <span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">0</span><span class="p">]</span>
@@ -388,10 +388,10 @@ values.</p>
    <span class="o">==</span> <span class="p">[]</span> <span class="n">swap</span> <span class="p">[</span><span class="mi">0</span> <span class="o">&lt;=</span><span class="p">]</span> <span class="p">[</span><span class="n">pop</span><span class="p">]</span> <span class="p">[</span><span class="o">--</span> <span class="n">dup</span> <span class="p">[</span><span class="n">swons</span><span class="p">]</span> <span class="n">dip</span><span class="p">]</span> <span class="n">primrec</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;range_reverse == [] swap [0 &lt;=] [pop] [-- dup [swons] dip] primrec&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;range_reverse == [] swap [0 &lt;=] [pop] [-- dup [swons] dip] primrec&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;5 range_reverse&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;5 range_reverse&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">0</span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="mi">4</span><span class="p">]</span>
@@ -404,10 +404,10 @@ values.</p>
    <span class="o">==</span> <span class="p">[</span><span class="mi">0</span> <span class="o">&lt;=</span><span class="p">]</span> <span class="p">[</span><span class="n">pop</span> <span class="p">[]]</span> <span class="p">[[</span><span class="o">--</span><span class="p">]</span> <span class="n">dupdip</span><span class="p">]</span> <span class="p">[</span><span class="n">dip</span> <span class="n">swons</span><span class="p">]</span> <span class="n">genrec</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;ranger == [0 &lt;=] [pop []] [[--] dupdip] [dip swons] genrec&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;ranger == [0 &lt;=] [pop []] [[--] dupdip] [dip swons] genrec&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;5 ranger&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;5 ranger&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">5</span> <span class="mi">4</span> <span class="mi">3</span> <span class="mi">2</span> <span class="mi">1</span><span class="p">]</span>
@@ -420,10 +420,10 @@ values.</p>
    <span class="o">==</span> <span class="p">[]</span> <span class="n">swap</span> <span class="p">[</span><span class="mi">0</span> <span class="o">&lt;=</span><span class="p">]</span> <span class="p">[</span><span class="n">pop</span><span class="p">]</span> <span class="p">[[</span><span class="n">swons</span><span class="p">]</span> <span class="n">dupdip</span> <span class="o">--</span><span class="p">]</span> <span class="n">primrec</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;ranger_reverse == [] swap [0 &lt;=] [pop] [[swons] dupdip --] primrec&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;ranger_reverse == [] swap [0 &lt;=] [pop] [[swons] dupdip --] primrec&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;5 ranger_reverse&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;5 ranger_reverse&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="mi">4</span> <span class="mi">5</span><span class="p">]</span>
@@ -444,17 +444,17 @@ and makes some new value.</p>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">C</span> <span class="o">==</span> <span class="p">[</span><span class="ow">not</span><span class="p">]</span> <span class="n">c</span> <span class="p">[</span><span class="n">uncons</span> <span class="n">swap</span><span class="p">]</span> <span class="p">[</span><span class="n">F</span><span class="p">]</span> <span class="n">hylomorphism</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;swuncons == uncons swap&#39;</span><span class="p">)</span>  <span class="c1"># Awkward name.</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;swuncons == uncons swap&#39;)  # Awkward name.
 </pre></div>
 </div>
 <p>An example of a catamorphism is the sum function.</p>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="nb">sum</span> <span class="o">==</span> <span class="p">[</span><span class="ow">not</span><span class="p">]</span> <span class="mi">0</span> <span class="p">[</span><span class="n">swuncons</span><span class="p">]</span> <span class="p">[</span><span class="o">+</span><span class="p">]</span> <span class="n">hylomorphism</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;sum == [not] 0 [swuncons] [+] hylomorphism&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;sum == [not] 0 [swuncons] [+] hylomorphism&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[5 4 3 2 1] sum&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[5 4 3 2 1] sum&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">15</span>
@@ -464,7 +464,7 @@ and makes some new value.</p>
 <h3>The <code class="docutils literal notranslate"><span class="pre">step</span></code> combinator<a class="headerlink" href="#the-step-combinator" title="Permalink to this headline">¶</a></h3>
 <p>The <code class="docutils literal notranslate"><span class="pre">step</span></code> combinator will usually be better to use than
 <code class="docutils literal notranslate"><span class="pre">catamorphism</span></code>.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[step] help&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[step] help&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Run</span> <span class="n">a</span> <span class="n">quoted</span> <span class="n">program</span> <span class="n">on</span> <span class="n">each</span> <span class="n">item</span> <span class="ow">in</span> <span class="n">a</span> <span class="n">sequence</span><span class="o">.</span>
@@ -488,10 +488,10 @@ and makes some new value.</p>
 <span class="n">on</span> <span class="n">top</span> <span class="n">of</span> <span class="n">the</span> <span class="n">stack</span><span class="o">.</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;sum == 0 swap [+] step&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;sum == 0 swap [+] step&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[5 4 3 2 1] sum&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[5 4 3 2 1] sum&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">15</span>
@@ -512,10 +512,10 @@ and makes some new value.</p>
 <span class="n">P</span> <span class="o">==</span> <span class="mi">1</span> <span class="o">&lt;=</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;factorial == 1 swap [1 &lt;=] [pop] [[*] dupdip --] primrec&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;factorial == 1 swap [1 &lt;=] [pop] [[*] dupdip --] primrec&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;5 factorial&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;5 factorial&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">120</span>
@@ -544,10 +544,10 @@ pattern <code class="docutils literal notranslate"><span class="pre">H2</span></
 <span class="n">P</span> <span class="o">==</span> <span class="ow">not</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;tails == [] swap [not] [pop] [rest dup [swons] dip] primrec&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;tails == [] swap [not] [pop] [rest dup [swons] dip] primrec&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[1 2 3] tails&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[1 2 3] tails&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[[]</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span><span class="p">]]</span>
@@ -675,7 +675,7 @@ Wire”</a></p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/Replacing.html

@@ -42,12 +42,12 @@ we can implement e.g. a function that adds new functions to the
 dictionary. However, there’s no function that does that. Adding a new
 function to the dictionary is a meta-interpreter action, you have to do
 it in Python, not Joy.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">notebook_preamble</span> <span class="kn">import</span> <span class="n">D</span><span class="p">,</span> <span class="n">J</span><span class="p">,</span> <span class="n">V</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>from notebook_preamble import D, J, V
 </pre></div>
 </div>
 <section id="a-long-trace">
 <h2>A long trace<a class="headerlink" href="#a-long-trace" title="Permalink to this headline">¶</a></h2>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;[23 18] average&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>V(&#39;[23 18] average&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                                  <span class="o">.</span> <span class="p">[</span><span class="mi">23</span> <span class="mi">18</span><span class="p">]</span> <span class="n">average</span>
@@ -105,30 +105,30 @@ it in Python, not Joy.</p>
 <p>An efficient <code class="docutils literal notranslate"><span class="pre">sum</span></code> function is already in the library. But for
 <code class="docutils literal notranslate"><span class="pre">size</span></code> we can use a “compiled” version hand-written in Python to speed
 up evaluation and make the trace more readable.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">joy.library</span> <span class="kn">import</span> <span class="n">SimpleFunctionWrapper</span>
-<span class="kn">from</span> <span class="nn">joy.utils.stack</span> <span class="kn">import</span> <span class="n">iter_stack</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>from joy.library import SimpleFunctionWrapper
+from joy.utils.stack import iter_stack
 
 
-<span class="nd">@SimpleFunctionWrapper</span>
-<span class="k">def</span> <span class="nf">size</span><span class="p">(</span><span class="n">stack</span><span class="p">):</span>
-    <span class="sd">&#39;&#39;&#39;Return the size of the sequence on the stack.&#39;&#39;&#39;</span>
-    <span class="n">sequence</span><span class="p">,</span> <span class="n">stack</span> <span class="o">=</span> <span class="n">stack</span>
-    <span class="n">n</span> <span class="o">=</span> <span class="mi">0</span>
-    <span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="n">iter_stack</span><span class="p">(</span><span class="n">sequence</span><span class="p">):</span>
-        <span class="n">n</span> <span class="o">+=</span> <span class="mi">1</span>
-    <span class="k">return</span> <span class="n">n</span><span class="p">,</span> <span class="n">stack</span>
+@SimpleFunctionWrapper
+def size(stack):
+    &#39;&#39;&#39;Return the size of the sequence on the stack.&#39;&#39;&#39;
+    sequence, stack = stack
+    n = 0
+    for _ in iter_stack(sequence):
+        n += 1
+    return n, stack
 </pre></div>
 </div>
 <p>Now we replace the old version in the dictionary with the new version,
 and re-evaluate the expression.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">D</span><span class="p">[</span><span class="s1">&#39;size&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">size</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>D[&#39;size&#39;] = size
 </pre></div>
 </div>
 </section>
 <section id="a-shorter-trace">
 <h2>A shorter trace<a class="headerlink" href="#a-shorter-trace" title="Permalink to this headline">¶</a></h2>
 <p>You can see that <code class="docutils literal notranslate"><span class="pre">size</span></code> now executes in a single step.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;[23 18] average&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>V(&#39;[23 18] average&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                                  <span class="o">.</span> <span class="p">[</span><span class="mi">23</span> <span class="mi">18</span><span class="p">]</span> <span class="n">average</span>
@@ -251,7 +251,7 @@ and re-evaluate the expression.</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/Square_Spiral.html

@@ -33,7 +33,7 @@
 
           <div class="body" role="main">
             
-  <div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">notebook_preamble</span> <span class="kn">import</span> <span class="n">J</span><span class="p">,</span> <span class="n">V</span><span class="p">,</span> <span class="n">define</span>
+  <div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>from notebook_preamble import J, V, define
 </pre></div>
 </div>
 <section id="square-spiral-example-joy-code">
@@ -99,8 +99,8 @@ to apply <code class="docutils literal notranslate"><span class="pre">abs</span>
 that each accept two quoted predicate programs, run the first, and
 conditionally run the second only if required (to compute the final
 Boolean value). They run their predicate arguments <code class="docutils literal notranslate"><span class="pre">nullary</span></code>.</p>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;&amp;&amp; [nullary] cons [nullary [0]] dip branch&#39;</span><span class="p">)</span>
-<span class="n">define</span><span class="p">(</span><span class="s1">&#39;|| [nullary] cons [nullary] dip [1] branch&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>define(&#39;&amp;&amp; [nullary] cons [nullary [0]] dip branch&#39;)
+define(&#39;|| [nullary] cons [nullary] dip [1] branch&#39;)
 </pre></div>
 </div>
 <p>Given those, we can define <code class="docutils literal notranslate"><span class="pre">x</span> <span class="pre">!=</span> <span class="pre">y</span> <span class="pre">||</span> <span class="pre">x</span> <span class="pre">&gt;=</span> <span class="pre">0</span></code> as:</p>
@@ -143,7 +143,7 @@ legible.</p>
 </section>
 <section id="not-negative">
 <h3>“Not Negative”<a class="headerlink" href="#not-negative" title="Permalink to this headline">¶</a></h3>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;!- 0 &gt;=&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>define(&#39;!- 0 &gt;=&#39;)
 </pre></div>
 </div>
 </section>
@@ -169,29 +169,29 @@ of <code class="docutils literal notranslate"><span class="pre">ifte</span></cod
 branch
 </pre></div>
 </div>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;spiral_next [[[abs] ii &lt;=] [[&lt;&gt;] [pop !-] ||] &amp;&amp;] [[!-] [[++]] [[--]] ifte dip] [[pop !-] [--] [++] ifte] ifte&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>define(&#39;spiral_next [[[abs] ii &lt;=] [[&lt;&gt;] [pop !-] ||] &amp;&amp;] [[!-] [[++]] [[--]] ifte dip] [[pop !-] [--] [++] ifte] ifte&#39;)
 </pre></div>
 </div>
 <p>Let’s try it out:</p>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;0 0 spiral_next&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>J(&#39;0 0 spiral_next&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="mi">0</span>
 </pre></div>
 </div>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;1 0 spiral_next&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>J(&#39;1 0 spiral_next&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">1</span> <span class="o">-</span><span class="mi">1</span>
 </pre></div>
 </div>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;1 -1 spiral_next&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>J(&#39;1 -1 spiral_next&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">0</span> <span class="o">-</span><span class="mi">1</span>
 </pre></div>
 </div>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;0 -1 spiral_next&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>J(&#39;0 -1 spiral_next&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="o">-</span><span class="mi">1</span> <span class="o">-</span><span class="mi">1</span>
@@ -240,7 +240,7 @@ From:</p>
            <span class="p">[</span><span class="n">x</span><span class="s1">&#39; y&#39;</span><span class="p">]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[0 0] [spiral_next] infra&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>J(&#39;[0 0] [spiral_next] infra&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">0</span> <span class="mi">1</span><span class="p">]</span>
@@ -262,7 +262,7 @@ us out of the value and stepper function:</p>
 </pre></div>
 </div>
 <p>Here it is in action:</p>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[0 0] [dup [spiral_next] infra] make_generator x x x x pop&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>J(&#39;[0 0] [dup [spiral_next] infra] make_generator x x x x pop&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">0</span> <span class="mi">0</span><span class="p">]</span> <span class="p">[</span><span class="mi">0</span> <span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="o">-</span><span class="mi">1</span> <span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="o">-</span><span class="mi">1</span> <span class="mi">0</span><span class="p">]</span>
@@ -290,13 +290,13 @@ pairs, where the next pair in the series can be generated at any time by
 using the <code class="docutils literal notranslate"><span class="pre">x</span></code> combinator on the generator (which is just a quoted
 expression containing a copy of the current pair and the “stepper
 function” to generate the next pair from that.)</p>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;_spn_P [[abs] ii &lt;=] [[&lt;&gt;] [pop !-] ||] &amp;&amp;&#39;</span><span class="p">)</span>
-<span class="n">define</span><span class="p">(</span><span class="s1">&#39;_spn_T [!-] [[++]] [[--]] ifte dip&#39;</span><span class="p">)</span>
-<span class="n">define</span><span class="p">(</span><span class="s1">&#39;_spn_E [pop !-] [--] [++] ifte&#39;</span><span class="p">)</span>
-<span class="n">define</span><span class="p">(</span><span class="s1">&#39;spiral_next _spn_P [_spn_E] [_spn_T] branch&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>define(&#39;_spn_P [[abs] ii &lt;=] [[&lt;&gt;] [pop !-] ||] &amp;&amp;&#39;)
+define(&#39;_spn_T [!-] [[++]] [[--]] ifte dip&#39;)
+define(&#39;_spn_E [pop !-] [--] [++] ifte&#39;)
+define(&#39;spiral_next _spn_P [_spn_E] [_spn_T] branch&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;23 18 spiral_next&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span>V(&#39;23 18 spiral_next&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                                                               . 23 18 spiral_next
@@ -456,7 +456,7 @@ function” to generate the next pair from that.)</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/The_Four_Operations.html

@@ -404,7 +404,7 @@ evaluation, yeah?)</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/Treestep.html

@@ -125,13 +125,13 @@ the desired outcome.</p>
 </pre></div>
 </div>
 <p>Extract a couple of auxiliary definitions:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">TS</span><span class="o">.</span><span class="mi">0</span> <span class="o">==</span> <span class="p">[[</span><span class="ow">not</span><span class="p">]</span> <span class="n">swap</span><span class="p">]</span> <span class="n">dip</span>
-<span class="n">TS</span><span class="o">.</span><span class="mi">1</span> <span class="o">==</span> <span class="p">[</span><span class="n">dip</span><span class="p">]</span> <span class="n">cons</span> <span class="p">[</span><span class="n">uncons</span><span class="p">]</span> <span class="n">swoncat</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">TS</span><span class="mf">.0</span> <span class="o">==</span> <span class="p">[[</span><span class="ow">not</span><span class="p">]</span> <span class="n">swap</span><span class="p">]</span> <span class="n">dip</span>
+<span class="n">TS</span><span class="mf">.1</span> <span class="o">==</span> <span class="p">[</span><span class="n">dip</span><span class="p">]</span> <span class="n">cons</span> <span class="p">[</span><span class="n">uncons</span><span class="p">]</span> <span class="n">swoncat</span>
 </pre></div>
 </div>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="n">B</span><span class="p">]</span> <span class="p">[</span><span class="n">N</span><span class="p">]</span> <span class="n">TS</span><span class="o">.</span><span class="mi">1</span> <span class="n">TS</span><span class="o">.</span><span class="mi">0</span> <span class="p">[</span><span class="nb">map</span> <span class="n">C</span><span class="p">]</span>                         <span class="n">genrec</span>
-<span class="p">[</span><span class="n">B</span><span class="p">]</span> <span class="p">[</span><span class="n">N</span><span class="p">]</span>           <span class="p">[</span><span class="nb">map</span> <span class="n">C</span><span class="p">]</span>         <span class="p">[</span><span class="n">TS</span><span class="o">.</span><span class="mi">1</span> <span class="n">TS</span><span class="o">.</span><span class="mi">0</span><span class="p">]</span> <span class="n">dip</span> <span class="n">genrec</span>
-<span class="p">[</span><span class="n">B</span><span class="p">]</span> <span class="p">[</span><span class="n">N</span><span class="p">]</span> <span class="p">[</span><span class="n">C</span><span class="p">]</span>         <span class="p">[</span><span class="nb">map</span><span class="p">]</span> <span class="n">swoncat</span> <span class="p">[</span><span class="n">TS</span><span class="o">.</span><span class="mi">1</span> <span class="n">TS</span><span class="o">.</span><span class="mi">0</span><span class="p">]</span> <span class="n">dip</span> <span class="n">genrec</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="n">B</span><span class="p">]</span> <span class="p">[</span><span class="n">N</span><span class="p">]</span> <span class="n">TS</span><span class="mf">.1</span> <span class="n">TS</span><span class="mf">.0</span> <span class="p">[</span><span class="nb">map</span> <span class="n">C</span><span class="p">]</span>                         <span class="n">genrec</span>
+<span class="p">[</span><span class="n">B</span><span class="p">]</span> <span class="p">[</span><span class="n">N</span><span class="p">]</span>           <span class="p">[</span><span class="nb">map</span> <span class="n">C</span><span class="p">]</span>         <span class="p">[</span><span class="n">TS</span><span class="mf">.1</span> <span class="n">TS</span><span class="mf">.0</span><span class="p">]</span> <span class="n">dip</span> <span class="n">genrec</span>
+<span class="p">[</span><span class="n">B</span><span class="p">]</span> <span class="p">[</span><span class="n">N</span><span class="p">]</span> <span class="p">[</span><span class="n">C</span><span class="p">]</span>         <span class="p">[</span><span class="nb">map</span><span class="p">]</span> <span class="n">swoncat</span> <span class="p">[</span><span class="n">TS</span><span class="mf">.1</span> <span class="n">TS</span><span class="mf">.0</span><span class="p">]</span> <span class="n">dip</span> <span class="n">genrec</span>
 </pre></div>
 </div>
 <p>The givens are all to the left so we have our definition.</p>
@@ -148,17 +148,17 @@ the desired outcome.</p>
 </section>
 <section id="define-treestep">
 <h2>Define <code class="docutils literal notranslate"><span class="pre">treestep</span></code><a class="headerlink" href="#define-treestep" title="Permalink to this headline">¶</a></h2>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">notebook_preamble</span> <span class="kn">import</span> <span class="n">D</span><span class="p">,</span> <span class="n">J</span><span class="p">,</span> <span class="n">V</span><span class="p">,</span> <span class="n">define</span><span class="p">,</span> <span class="n">DefinitionWrapper</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>from notebook_preamble import D, J, V, define, DefinitionWrapper
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">DefinitionWrapper</span><span class="o">.</span><span class="n">add_definitions</span><span class="p">(</span><span class="s1">&#39;&#39;&#39;</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>DefinitionWrapper.add_definitions(&#39;&#39;&#39;
 
-<span class="s1">    _treestep_0 == [[not] swap] dip</span>
-<span class="s1">    _treestep_1 == [dip] cons [uncons] swoncat</span>
-<span class="s1">    treegrind == [_treestep_1 _treestep_0] dip genrec</span>
-<span class="s1">    treestep == [map] swoncat treegrind</span>
+    _treestep_0 == [[not] swap] dip
+    _treestep_1 == [dip] cons [uncons] swoncat
+    treegrind == [_treestep_1 _treestep_0] dip genrec
+    treestep == [map] swoncat treegrind
 
-<span class="s1">&#39;&#39;&#39;</span><span class="p">,</span> <span class="n">D</span><span class="p">)</span>
+&#39;&#39;&#39;, D)
 </pre></div>
 </div>
 </section>
@@ -169,7 +169,7 @@ all nodes in a tree with this function:</p>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">sumtree</span> <span class="o">==</span> <span class="p">[</span><span class="n">pop</span> <span class="mi">0</span><span class="p">]</span> <span class="p">[]</span> <span class="p">[</span><span class="nb">sum</span> <span class="o">+</span><span class="p">]</span> <span class="n">treestep</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;sumtree == [pop 0] [] [sum +] treestep&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;sumtree == [pop 0] [] [sum +] treestep&#39;)
 </pre></div>
 </div>
 <p>Running this function on an empty tree value gives zero:</p>
@@ -178,7 +178,7 @@ all nodes in a tree with this function:</p>
            <span class="mi">0</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[] sumtree&#39;</span><span class="p">)</span>  <span class="c1"># Empty tree.</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[] sumtree&#39;)  # Empty tree.
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">0</span>
@@ -192,61 +192,61 @@ all nodes in a tree with this function:</p>
 <span class="n">n</span><span class="o">+</span><span class="n">m</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[23] sumtree&#39;</span><span class="p">)</span>  <span class="c1"># No child trees.</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[23] sumtree&#39;)  # No child trees.
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">23</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[23 []] sumtree&#39;</span><span class="p">)</span>  <span class="c1"># Child tree, empty.</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[23 []] sumtree&#39;)  # Child tree, empty.
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">23</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[23 [2 [4]] [3]] sumtree&#39;</span><span class="p">)</span>  <span class="c1"># Non-empty child trees.</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[23 [2 [4]] [3]] sumtree&#39;)  # Non-empty child trees.
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">32</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[23 [2 [8] [9]] [3] [4 []]] sumtree&#39;</span><span class="p">)</span>  <span class="c1"># Etc...</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[23 [2 [8] [9]] [3] [4 []]] sumtree&#39;)  # Etc...
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">49</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[23 [2 [8] [9]] [3] [4 []]] [pop 0] [] [cons sum] treestep&#39;</span><span class="p">)</span>  <span class="c1"># Alternate &quot;spelling&quot;.</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[23 [2 [8] [9]] [3] [4 []]] [pop 0] [] [cons sum] treestep&#39;)  # Alternate &quot;spelling&quot;.
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">49</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[23 [2 [8] [9]] [3] [4 []]] [] [pop 23] [cons] treestep&#39;</span><span class="p">)</span>  <span class="c1"># Replace each node.</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[23 [2 [8] [9]] [3] [4 []]] [] [pop 23] [cons] treestep&#39;)  # Replace each node.
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">23</span> <span class="p">[</span><span class="mi">23</span> <span class="p">[</span><span class="mi">23</span><span class="p">]</span> <span class="p">[</span><span class="mi">23</span><span class="p">]]</span> <span class="p">[</span><span class="mi">23</span><span class="p">]</span> <span class="p">[</span><span class="mi">23</span> <span class="p">[]]]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[23 [2 [8] [9]] [3] [4 []]] [] [pop 1] [cons] treestep&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[23 [2 [8] [9]] [3] [4 []]] [] [pop 1] [cons] treestep&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span> <span class="p">[</span><span class="mi">1</span> <span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="mi">1</span><span class="p">]]</span> <span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="mi">1</span> <span class="p">[]]]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[23 [2 [8] [9]] [3] [4 []]] [] [pop 1] [cons] treestep sumtree&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[23 [2 [8] [9]] [3] [4 []]] [] [pop 1] [cons] treestep sumtree&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">6</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[23 [2 [8] [9]] [3] [4 []]] [pop 0] [pop 1] [sum +] treestep&#39;</span><span class="p">)</span>  <span class="c1"># Combine replace and sum into one function.</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[23 [2 [8] [9]] [3] [4 []]] [pop 0] [pop 1] [sum +] treestep&#39;)  # Combine replace and sum into one function.
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">6</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[4 [3 [] [7]]] [pop 0] [pop 1] [sum +] treestep&#39;</span><span class="p">)</span>  <span class="c1"># Combine replace and sum into one function.</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[4 [3 [] [7]]] [pop 0] [pop 1] [sum +] treestep&#39;)  # Combine replace and sum into one function.
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">3</span>
@@ -277,7 +277,7 @@ all nodes in a tree with this function:</p>
 </pre></div>
 </div>
 <p>This doesn’t quite work:</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[[3 0] [[2 0] [][]] [[9 0] [[5 0] [[4 0] [][]] [[8 0] [[6 0] [] [[7 0] [][]]][]]][]]] [&quot;B&quot;] [first] [i] treestep&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[[3 0] [[2 0] [][]] [[9 0] [[5 0] [[4 0] [][]] [[8 0] [[6 0] [] [[7 0] [][]]][]]][]]] [&quot;B&quot;] [first] [i] treestep&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">3</span> <span class="s1">&#39;B&#39;</span> <span class="s1">&#39;B&#39;</span>
@@ -299,7 +299,7 @@ depositing our results directly on the stack.</p>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[]</span> <span class="p">[</span><span class="n">first</span><span class="p">]</span> <span class="p">[</span><span class="n">flatten</span> <span class="n">cons</span><span class="p">]</span> <span class="n">treestep</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[[3 0] [[2 0] [] []] [[9 0] [[5 0] [[4 0] [] []] [[8 0] [[6 0] [] [[7 0] [] []]] []]] []]]   [] [first] [flatten cons] treestep&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[[3 0] [[2 0] [] []] [[9 0] [[5 0] [[4 0] [] []] [[8 0] [[6 0] [] [[7 0] [] []]] []]] []]]   [] [first] [flatten cons] treestep&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">3</span> <span class="mi">2</span> <span class="mi">9</span> <span class="mi">5</span> <span class="mi">4</span> <span class="mi">8</span> <span class="mi">6</span> <span class="mi">7</span><span class="p">]</span>
@@ -322,7 +322,7 @@ depositing our results directly on the stack.</p>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[]</span> <span class="p">[</span><span class="n">i</span> <span class="n">roll</span><span class="o">&lt;</span> <span class="n">swons</span> <span class="n">concat</span><span class="p">]</span> <span class="p">[</span><span class="n">first</span><span class="p">]</span> <span class="n">treestep</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[[3 0] [[2 0] [] []] [[9 0] [[5 0] [[4 0] [] []] [[8 0] [[6 0] [] [[7 0] [] []]] []]] []]]   [] [uncons pop] [i roll&lt; swons concat] treestep&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[[3 0] [[2 0] [] []] [[9 0] [[5 0] [[4 0] [] []] [[8 0] [[6 0] [] [[7 0] [] []]] []]] []]]   [] [uncons pop] [i roll&lt; swons concat] treestep&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">2</span> <span class="mi">3</span> <span class="mi">4</span> <span class="mi">5</span> <span class="mi">6</span> <span class="mi">7</span> <span class="mi">8</span> <span class="mi">9</span><span class="p">]</span>
@@ -343,7 +343,7 @@ non-empty node is:</p>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="n">key</span> <span class="n">value</span><span class="p">]</span> <span class="n">N</span> <span class="p">[</span><span class="n">left</span> <span class="n">right</span><span class="p">]</span> <span class="p">[</span><span class="n">K</span><span class="p">]</span> <span class="n">C</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[[&quot;key&quot; &quot;value&quot;] [&quot;left&quot;] [&quot;right&quot;] ] [&quot;B&quot;] [&quot;N&quot;] [&quot;C&quot;] treegrind&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[[&quot;key&quot; &quot;value&quot;] [&quot;left&quot;] [&quot;right&quot;] ] [&quot;B&quot;] [&quot;N&quot;] [&quot;C&quot;] treegrind&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="s1">&#39;key&#39;</span> <span class="s1">&#39;value&#39;</span><span class="p">]</span> <span class="s1">&#39;N&#39;</span> <span class="p">[[</span><span class="s1">&#39;left&#39;</span><span class="p">]</span> <span class="p">[</span><span class="s1">&#39;right&#39;</span><span class="p">]]</span> <span class="p">[[</span><span class="ow">not</span><span class="p">]</span> <span class="p">[</span><span class="s1">&#39;B&#39;</span><span class="p">]</span> <span class="p">[</span><span class="n">uncons</span> <span class="p">[</span><span class="s1">&#39;N&#39;</span><span class="p">]</span> <span class="n">dip</span><span class="p">]</span> <span class="p">[</span><span class="s1">&#39;C&#39;</span><span class="p">]</span> <span class="n">genrec</span><span class="p">]</span> <span class="s1">&#39;C&#39;</span>
@@ -353,21 +353,21 @@ non-empty node is:</p>
 <section id="treegrind-with-step">
 <h2><code class="docutils literal notranslate"><span class="pre">treegrind</span></code> with <code class="docutils literal notranslate"><span class="pre">step</span></code><a class="headerlink" href="#treegrind-with-step" title="Permalink to this headline">¶</a></h2>
 <p>Iteration through the nodes</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[[3 0] [[2 0] [] []] [[9 0] [[5 0] [[4 0] [] []] [[8 0] [[6 0] [] [[7 0] [] []]] []]] []]]   [pop] [&quot;N&quot;] [step] treegrind&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[[3 0] [[2 0] [] []] [[9 0] [[5 0] [[4 0] [] []] [[8 0] [[6 0] [] [[7 0] [] []]] []]] []]]   [pop] [&quot;N&quot;] [step] treegrind&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">3</span> <span class="mi">0</span><span class="p">]</span> <span class="s1">&#39;N&#39;</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">0</span><span class="p">]</span> <span class="s1">&#39;N&#39;</span> <span class="p">[</span><span class="mi">9</span> <span class="mi">0</span><span class="p">]</span> <span class="s1">&#39;N&#39;</span> <span class="p">[</span><span class="mi">5</span> <span class="mi">0</span><span class="p">]</span> <span class="s1">&#39;N&#39;</span> <span class="p">[</span><span class="mi">4</span> <span class="mi">0</span><span class="p">]</span> <span class="s1">&#39;N&#39;</span> <span class="p">[</span><span class="mi">8</span> <span class="mi">0</span><span class="p">]</span> <span class="s1">&#39;N&#39;</span> <span class="p">[</span><span class="mi">6</span> <span class="mi">0</span><span class="p">]</span> <span class="s1">&#39;N&#39;</span> <span class="p">[</span><span class="mi">7</span> <span class="mi">0</span><span class="p">]</span> <span class="s1">&#39;N&#39;</span>
 </pre></div>
 </div>
 <p>Sum the nodes’ keys.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;0 [[3 0] [[2 0] [] []] [[9 0] [[5 0] [[4 0] [] []] [[8 0] [[6 0] [] [[7 0] [] []]] []]] []]]   [pop] [first +] [step] treegrind&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;0 [[3 0] [[2 0] [] []] [[9 0] [[5 0] [[4 0] [] []] [[8 0] [[6 0] [] [[7 0] [] []]] []]] []]]   [pop] [first +] [step] treegrind&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">44</span>
 </pre></div>
 </div>
 <p>Rebuild the tree using <code class="docutils literal notranslate"><span class="pre">map</span></code> (imitating <code class="docutils literal notranslate"><span class="pre">treestep</span></code>.)</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[[3 0] [[2 0] [] []] [[9 0] [[5 0] [[4 0] [] []] [[8 0] [[6 0] [] [[7 0] [] []]] []]] []]]   [] [[100 +] infra] [map cons] treegrind&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[[3 0] [[2 0] [] []] [[9 0] [[5 0] [[4 0] [] []] [[8 0] [[6 0] [] [[7 0] [] []]] []]] []]]   [] [[100 +] infra] [map cons] treegrind&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[[</span><span class="mi">103</span> <span class="mi">0</span><span class="p">]</span> <span class="p">[[</span><span class="mi">102</span> <span class="mi">0</span><span class="p">]</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[[</span><span class="mi">109</span> <span class="mi">0</span><span class="p">]</span> <span class="p">[[</span><span class="mi">105</span> <span class="mi">0</span><span class="p">]</span> <span class="p">[[</span><span class="mi">104</span> <span class="mi">0</span><span class="p">]</span> <span class="p">[]</span> <span class="p">[]]</span> <span class="p">[[</span><span class="mi">108</span> <span class="mi">0</span><span class="p">]</span> <span class="p">[[</span><span class="mi">106</span> <span class="mi">0</span><span class="p">]</span> <span class="p">[]</span> <span class="p">[[</span><span class="mi">107</span> <span class="mi">0</span><span class="p">]</span> <span class="p">[]</span> <span class="p">[]]]</span> <span class="p">[]]]</span> <span class="p">[]]]</span>
@@ -449,37 +449,37 @@ equal):</p>
 </pre></div>
 </div>
 <p>To me, that seems simpler than the <code class="docutils literal notranslate"><span class="pre">genrec</span></code> version.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">DefinitionWrapper</span><span class="o">.</span><span class="n">add_definitions</span><span class="p">(</span><span class="s1">&#39;&#39;&#39;</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>DefinitionWrapper.add_definitions(&#39;&#39;&#39;
 
-<span class="s1">    T&gt; == pop [first] dip i</span>
-<span class="s1">    T&lt; == pop [second] dip i</span>
-<span class="s1">    E == roll&gt; popop first</span>
-<span class="s1">    P == roll&lt; [roll&lt; uncons swap] dip</span>
+    T&gt; == pop [first] dip i
+    T&lt; == pop [second] dip i
+    E == roll&gt; popop first
+    P == roll&lt; [roll&lt; uncons swap] dip
 
-<span class="s1">    Tree-get == [P [T&gt;] [E] [T&lt;] cmp] treegrind</span>
+    Tree-get == [P [T&gt;] [E] [T&lt;] cmp] treegrind
 
-<span class="s1">&#39;&#39;&#39;</span><span class="p">,</span> <span class="n">D</span><span class="p">)</span>
+&#39;&#39;&#39;, D)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;&#39;&#39;</span><span class="se">\</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;&#39;&#39;\
 
-<span class="s1">[[3 13] [[2 12] [] []] [[9 19] [[5 15] [[4 14] [] []] [[8 18] [[6 16] [] [[7 17] [] []]] []]] []]]</span>
+[[3 13] [[2 12] [] []] [[9 19] [[5 15] [[4 14] [] []] [[8 18] [[6 16] [] [[7 17] [] []]] []]] []]]
 
-<span class="s1">[] [5] Tree-get</span>
+[] [5] Tree-get
 
-<span class="s1">&#39;&#39;&#39;</span><span class="p">)</span>
+&#39;&#39;&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="mi">15</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;&#39;&#39;</span><span class="se">\</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;&#39;&#39;\
 
-<span class="s1">[[3 13] [[2 12] [] []] [[9 19] [[5 15] [[4 14] [] []] [[8 18] [[6 16] [] [[7 17] [] []]] []]] []]]</span>
+[[3 13] [[2 12] [] []] [[9 19] [[5 15] [[4 14] [] []] [[8 18] [[6 16] [] [[7 17] [] []]] []]] []]]
 
-<span class="s1">[pop &quot;nope&quot;] [25] Tree-get</span>
+[pop &quot;nope&quot;] [25] Tree-get
 
-<span class="s1">&#39;&#39;&#39;</span><span class="p">)</span>
+&#39;&#39;&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="s1">&#39;nope&#39;</span>
@@ -574,7 +574,7 @@ equal):</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/TypeChecking.html

@@ -35,33 +35,33 @@
             
   <section id="type-checking">
 <h1>Type Checking<a class="headerlink" href="#type-checking" title="Permalink to this headline">¶</a></h1>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">logging</span><span class="o">,</span> <span class="nn">sys</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>import logging, sys
 
-<span class="n">logging</span><span class="o">.</span><span class="n">basicConfig</span><span class="p">(</span>
-  <span class="nb">format</span><span class="o">=</span><span class="s1">&#39;</span><span class="si">%(message)s</span><span class="s1">&#39;</span><span class="p">,</span>
-  <span class="n">stream</span><span class="o">=</span><span class="n">sys</span><span class="o">.</span><span class="n">stdout</span><span class="p">,</span>
-  <span class="n">level</span><span class="o">=</span><span class="n">logging</span><span class="o">.</span><span class="n">INFO</span><span class="p">,</span>
-  <span class="p">)</span>
+logging.basicConfig(
+  format=&#39;%(message)s&#39;,
+  stream=sys.stdout,
+  level=logging.INFO,
+  )
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">joy.utils.types</span> <span class="kn">import</span> <span class="p">(</span>
-    <span class="n">doc_from_stack_effect</span><span class="p">,</span>
-    <span class="n">infer</span><span class="p">,</span>
-    <span class="n">reify</span><span class="p">,</span>
-    <span class="n">unify</span><span class="p">,</span>
-    <span class="n">FUNCTIONS</span><span class="p">,</span>
-    <span class="n">JoyTypeError</span><span class="p">,</span>
-<span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>from joy.utils.types import (
+    doc_from_stack_effect,
+    infer,
+    reify,
+    unify,
+    FUNCTIONS,
+    JoyTypeError,
+)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">D</span> <span class="o">=</span> <span class="n">FUNCTIONS</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span>
-<span class="k">del</span> <span class="n">D</span><span class="p">[</span><span class="s1">&#39;product&#39;</span><span class="p">]</span>
-<span class="nb">globals</span><span class="p">()</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">D</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>D = FUNCTIONS.copy()
+del D[&#39;product&#39;]
+globals().update(D)
 </pre></div>
 </div>
 <section id="an-example">
 <h2>An Example<a class="headerlink" href="#an-example" title="Permalink to this headline">¶</a></h2>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">fi</span><span class="p">,</span> <span class="n">fo</span> <span class="o">=</span> <span class="n">infer</span><span class="p">(</span><span class="n">pop</span><span class="p">,</span> <span class="n">swap</span><span class="p">,</span> <span class="n">rolldown</span><span class="p">,</span> <span class="n">rrest</span><span class="p">,</span> <span class="n">ccons</span><span class="p">)[</span><span class="mi">0</span><span class="p">]</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>fi, fo = infer(pop, swap, rolldown, rrest, ccons)[0]
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>25 (--) ∘ pop swap rolldown rrest ccons
@@ -72,32 +72,32 @@
 40 ([a4 a5 ...1] a3 a2 a1 -- [a2 a3 ...1]) ∘
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="nb">print</span> <span class="n">doc_from_stack_effect</span><span class="p">(</span><span class="n">fi</span><span class="p">,</span> <span class="n">fo</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>print doc_from_stack_effect(fi, fo)
 </pre></div>
 </div>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">([</span><span class="n">a4</span> <span class="n">a5</span> <span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="n">a3</span> <span class="n">a2</span> <span class="n">a1</span> <span class="o">--</span> <span class="p">[</span><span class="n">a2</span> <span class="n">a3</span> <span class="o">...</span><span class="mi">1</span><span class="p">])</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">([</span><span class="n">a4</span> <span class="n">a5</span> <span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="n">a3</span> <span class="n">a2</span> <span class="n">a1</span> <span class="o">--</span> <span class="p">[</span><span class="n">a2</span> <span class="n">a3</span> <span class="o">..</span><span class="mf">.1</span><span class="p">])</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">joy.parser</span> <span class="kn">import</span> <span class="n">text_to_expression</span>
-<span class="kn">from</span> <span class="nn">joy.utils.stack</span> <span class="kn">import</span> <span class="n">stack_to_string</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>from joy.parser import text_to_expression
+from joy.utils.stack import stack_to_string
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">e</span> <span class="o">=</span> <span class="n">text_to_expression</span><span class="p">(</span><span class="s1">&#39;0 1 2 [3 4]&#39;</span><span class="p">)</span>  <span class="c1"># reverse order</span>
-<span class="nb">print</span> <span class="n">stack_to_string</span><span class="p">(</span><span class="n">e</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>e = text_to_expression(&#39;0 1 2 [3 4]&#39;)  # reverse order
+print stack_to_string(e)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">3</span> <span class="mi">4</span><span class="p">]</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">0</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">u</span> <span class="o">=</span> <span class="n">unify</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">fi</span><span class="p">)[</span><span class="mi">0</span><span class="p">]</span>
-<span class="n">u</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>u = unify(e, fi)[0]
+u
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">{</span><span class="n">a1</span><span class="p">:</span> <span class="mi">0</span><span class="p">,</span> <span class="n">a2</span><span class="p">:</span> <span class="mi">1</span><span class="p">,</span> <span class="n">a3</span><span class="p">:</span> <span class="mi">2</span><span class="p">,</span> <span class="n">a4</span><span class="p">:</span> <span class="mi">3</span><span class="p">,</span> <span class="n">a5</span><span class="p">:</span> <span class="mi">4</span><span class="p">,</span> <span class="n">s2</span><span class="p">:</span> <span class="p">(),</span> <span class="n">s1</span><span class="p">:</span> <span class="p">()}</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">g</span> <span class="o">=</span> <span class="n">reify</span><span class="p">(</span><span class="n">u</span><span class="p">,</span> <span class="p">(</span><span class="n">fi</span><span class="p">,</span> <span class="n">fo</span><span class="p">))</span>
-<span class="nb">print</span> <span class="n">doc_from_stack_effect</span><span class="p">(</span><span class="o">*</span><span class="n">g</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>g = reify(u, (fi, fo))
+print doc_from_stack_effect(*g)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">(</span><span class="o">...</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">4</span> <span class="p">]</span> <span class="mi">2</span> <span class="mi">1</span> <span class="mi">0</span> <span class="o">--</span> <span class="o">...</span> <span class="p">[</span><span class="mi">1</span> <span class="mi">2</span> <span class="p">])</span>
@@ -106,18 +106,18 @@
 </section>
 <section id="unification-works-in-reverse">
 <h2>Unification Works “in Reverse”<a class="headerlink" href="#unification-works-in-reverse" title="Permalink to this headline">¶</a></h2>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">e</span> <span class="o">=</span> <span class="n">text_to_expression</span><span class="p">(</span><span class="s1">&#39;[2 3]&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>e = text_to_expression(&#39;[2 3]&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">u</span> <span class="o">=</span> <span class="n">unify</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">fo</span><span class="p">)[</span><span class="mi">0</span><span class="p">]</span>  <span class="c1"># output side, not input side</span>
-<span class="n">u</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>u = unify(e, fo)[0]  # output side, not input side
+u
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">{</span><span class="n">a2</span><span class="p">:</span> <span class="mi">2</span><span class="p">,</span> <span class="n">a3</span><span class="p">:</span> <span class="mi">3</span><span class="p">,</span> <span class="n">s2</span><span class="p">:</span> <span class="p">(),</span> <span class="n">s1</span><span class="p">:</span> <span class="p">()}</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">g</span> <span class="o">=</span> <span class="n">reify</span><span class="p">(</span><span class="n">u</span><span class="p">,</span> <span class="p">(</span><span class="n">fi</span><span class="p">,</span> <span class="n">fo</span><span class="p">))</span>
-<span class="nb">print</span> <span class="n">doc_from_stack_effect</span><span class="p">(</span><span class="o">*</span><span class="n">g</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>g = reify(u, (fi, fo))
+print doc_from_stack_effect(*g)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">(</span><span class="o">...</span> <span class="p">[</span><span class="n">a4</span> <span class="n">a5</span> <span class="p">]</span> <span class="mi">3</span> <span class="mi">2</span> <span class="n">a1</span> <span class="o">--</span> <span class="o">...</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span> <span class="p">])</span>
@@ -126,7 +126,7 @@
 </section>
 <section id="failing-a-check">
 <h2>Failing a Check<a class="headerlink" href="#failing-a-check" title="Permalink to this headline">¶</a></h2>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">fi</span><span class="p">,</span> <span class="n">fo</span> <span class="o">=</span> <span class="n">infer</span><span class="p">(</span><span class="n">dup</span><span class="p">,</span> <span class="n">mul</span><span class="p">)[</span><span class="mi">0</span><span class="p">]</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>fi, fo = infer(dup, mul)[0]
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>25 (--) ∘ dup mul
@@ -135,17 +135,17 @@
 31 (i1 -- i2) ∘
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">e</span> <span class="o">=</span> <span class="n">text_to_expression</span><span class="p">(</span><span class="s1">&#39;&quot;two&quot;&#39;</span><span class="p">)</span>
-<span class="nb">print</span> <span class="n">stack_to_string</span><span class="p">(</span><span class="n">e</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>e = text_to_expression(&#39;&quot;two&quot;&#39;)
+print stack_to_string(e)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="s1">&#39;two&#39;</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="k">try</span><span class="p">:</span>
-    <span class="n">unify</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">fi</span><span class="p">)</span>
-<span class="k">except</span> <span class="n">JoyTypeError</span><span class="p">,</span> <span class="n">err</span><span class="p">:</span>
-    <span class="nb">print</span> <span class="n">err</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>try:
+    unify(e, fi)
+except JoyTypeError, err:
+    print err
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Cannot</span> <span class="n">unify</span> <span class="s1">&#39;two&#39;</span> <span class="ow">and</span> <span class="n">f1</span><span class="o">.</span>
@@ -240,7 +240,7 @@
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/Zipper.html

@@ -42,7 +42,7 @@ the original paper: <a class="reference external" href="https://www.st.cs.uni-sa
 Huet</a></p>
 <p>Given a datastructure on the stack we can navigate through it, modify
 it, and rebuild it using the “zipper” technique.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">notebook_preamble</span> <span class="kn">import</span> <span class="n">J</span><span class="p">,</span> <span class="n">V</span><span class="p">,</span> <span class="n">define</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>from notebook_preamble import J, V, define
 </pre></div>
 </div>
 <section id="trees">
@@ -52,7 +52,7 @@ strings, Symbols (strings that are names of functions) and sequences
 (aka lists, aka quoted literals, aka aggregates, etc…), but we can build
 <a class="reference external" href="https://en.wikipedia.org/wiki/Tree_%28data_structure%29">trees</a> out
 of sequences.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[1 [2 [3 4 25 6] 7] 8]&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[1 [2 [3 4 25 6] 7] 8]&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span> <span class="p">[</span><span class="mi">2</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">4</span> <span class="mi">25</span> <span class="mi">6</span><span class="p">]</span> <span class="mi">7</span><span class="p">]</span> <span class="mi">8</span><span class="p">]</span>
@@ -75,13 +75,13 @@ datastructure used to keep track of these items is the zipper.)</p>
 show the trace so you can see how it works. If we were going to use
 these a lot it would make sense to write Python versions for efficiency,
 but see below.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;z-down == [] swap uncons swap&#39;</span><span class="p">)</span>
-<span class="n">define</span><span class="p">(</span><span class="s1">&#39;z-up == swons swap shunt&#39;</span><span class="p">)</span>
-<span class="n">define</span><span class="p">(</span><span class="s1">&#39;z-right == [swons] cons dip uncons swap&#39;</span><span class="p">)</span>
-<span class="n">define</span><span class="p">(</span><span class="s1">&#39;z-left == swons [uncons swap] dip swap&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;z-down == [] swap uncons swap&#39;)
+define(&#39;z-up == swons swap shunt&#39;)
+define(&#39;z-right == [swons] cons dip uncons swap&#39;)
+define(&#39;z-left == swons [uncons swap] dip swap&#39;)
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;[1 [2 [3 4 25 6] 7] 8] z-down&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>V(&#39;[1 [2 [3 4 25 6] 7] 8] z-down&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                          <span class="o">.</span> <span class="p">[</span><span class="mi">1</span> <span class="p">[</span><span class="mi">2</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">4</span> <span class="mi">25</span> <span class="mi">6</span><span class="p">]</span> <span class="mi">7</span><span class="p">]</span> <span class="mi">8</span><span class="p">]</span> <span class="n">z</span><span class="o">-</span><span class="n">down</span>
@@ -93,7 +93,7 @@ but see below.</p>
 <span class="p">[]</span> <span class="p">[[</span><span class="mi">2</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">4</span> <span class="mi">25</span> <span class="mi">6</span><span class="p">]</span> <span class="mi">7</span><span class="p">]</span> <span class="mi">8</span><span class="p">]</span> <span class="mi">1</span> <span class="o">.</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;[] [[2 [3 4 25 6] 7] 8] 1 z-right&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>V(&#39;[] [[2 [3 4 25 6] 7] 8] 1 z-right&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                                  <span class="o">.</span> <span class="p">[]</span> <span class="p">[[</span><span class="mi">2</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">4</span> <span class="mi">25</span> <span class="mi">6</span><span class="p">]</span> <span class="mi">7</span><span class="p">]</span> <span class="mi">8</span><span class="p">]</span> <span class="mi">1</span> <span class="n">z</span><span class="o">-</span><span class="n">right</span>
@@ -113,43 +113,43 @@ but see below.</p>
          <span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="mi">8</span><span class="p">]</span> <span class="p">[</span><span class="mi">2</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">4</span> <span class="mi">25</span> <span class="mi">6</span><span class="p">]</span> <span class="mi">7</span><span class="p">]</span> <span class="o">.</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[1] [8] [2 [3 4 25 6] 7] z-down&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[1] [8] [2 [3 4 25 6] 7] z-down&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="mi">8</span><span class="p">]</span> <span class="p">[]</span> <span class="p">[[</span><span class="mi">3</span> <span class="mi">4</span> <span class="mi">25</span> <span class="mi">6</span><span class="p">]</span> <span class="mi">7</span><span class="p">]</span> <span class="mi">2</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[1] [8] [] [[3 4 25 6] 7] 2 z-right&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[1] [8] [] [[3 4 25 6] 7] 2 z-right&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="mi">8</span><span class="p">]</span> <span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="p">[</span><span class="mi">7</span><span class="p">]</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">4</span> <span class="mi">25</span> <span class="mi">6</span><span class="p">]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[1] [8] [2] [7] [3 4 25 6] z-down&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[1] [8] [2] [7] [3 4 25 6] z-down&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="mi">8</span><span class="p">]</span> <span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="p">[</span><span class="mi">7</span><span class="p">]</span> <span class="p">[]</span> <span class="p">[</span><span class="mi">4</span> <span class="mi">25</span> <span class="mi">6</span><span class="p">]</span> <span class="mi">3</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[1] [8] [2] [7] [] [4 25 6] 3 z-right&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[1] [8] [2] [7] [] [4 25 6] 3 z-right&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="mi">8</span><span class="p">]</span> <span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="p">[</span><span class="mi">7</span><span class="p">]</span> <span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="mi">25</span> <span class="mi">6</span><span class="p">]</span> <span class="mi">4</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[1] [8] [2] [7] [3] [25 6] 4 z-right&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[1] [8] [2] [7] [3] [25 6] 4 z-right&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="mi">8</span><span class="p">]</span> <span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="p">[</span><span class="mi">7</span><span class="p">]</span> <span class="p">[</span><span class="mi">4</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="mi">6</span><span class="p">]</span> <span class="mi">25</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[1] [8] [2] [7] [4 3] [6] 25 sqr&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[1] [8] [2] [7] [4 3] [6] 25 sqr&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="mi">8</span><span class="p">]</span> <span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="p">[</span><span class="mi">7</span><span class="p">]</span> <span class="p">[</span><span class="mi">4</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="mi">6</span><span class="p">]</span> <span class="mi">625</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;[1] [8] [2] [7] [4 3] [6] 625 z-up&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>V(&#39;[1] [8] [2] [7] [4 3] [6] 625 z-up&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                              <span class="o">.</span> <span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="mi">8</span><span class="p">]</span> <span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="p">[</span><span class="mi">7</span><span class="p">]</span> <span class="p">[</span><span class="mi">4</span> <span class="mi">3</span><span class="p">]</span> <span class="p">[</span><span class="mi">6</span><span class="p">]</span> <span class="mi">625</span> <span class="n">z</span><span class="o">-</span><span class="n">up</span>
@@ -168,13 +168,13 @@ but see below.</p>
   <span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="mi">8</span><span class="p">]</span> <span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="p">[</span><span class="mi">7</span><span class="p">]</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">4</span> <span class="mi">625</span> <span class="mi">6</span><span class="p">]</span> <span class="o">.</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[1] [8] [2] [7] [3 4 625 6] z-up&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[1] [8] [2] [7] [3 4 625 6] z-up&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="p">[</span><span class="mi">8</span><span class="p">]</span> <span class="p">[</span><span class="mi">2</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">4</span> <span class="mi">625</span> <span class="mi">6</span><span class="p">]</span> <span class="mi">7</span><span class="p">]</span>
 </pre></div>
 </div>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[1] [8] [2 [3 4 625 6] 7] z-up&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[1] [8] [2 [3 4 625 6] 7] z-up&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span> <span class="p">[</span><span class="mi">2</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">4</span> <span class="mi">625</span> <span class="mi">6</span><span class="p">]</span> <span class="mi">7</span><span class="p">]</span> <span class="mi">8</span><span class="p">]</span>
@@ -185,7 +185,7 @@ but see below.</p>
 <h2><code class="docutils literal notranslate"><span class="pre">dip</span></code> and <code class="docutils literal notranslate"><span class="pre">infra</span></code><a class="headerlink" href="#dip-and-infra" title="Permalink to this headline">¶</a></h2>
 <p>In Joy we have the <code class="docutils literal notranslate"><span class="pre">dip</span></code> and <code class="docutils literal notranslate"><span class="pre">infra</span></code> combinators which can “target”
 or “address” any particular item in a Joy tree structure.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;[1 [2 [3 4 25 6] 7] 8] [[[[[[sqr] dipd] infra] dip] infra] dip] infra&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>V(&#39;[1 [2 [3 4 25 6] 7] 8] [[[[[[sqr] dipd] infra] dip] infra] dip] infra&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                                                                <span class="o">.</span> <span class="p">[</span><span class="mi">1</span> <span class="p">[</span><span class="mi">2</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">4</span> <span class="mi">25</span> <span class="mi">6</span><span class="p">]</span> <span class="mi">7</span><span class="p">]</span> <span class="mi">8</span><span class="p">]</span> <span class="p">[[[[[[</span><span class="n">sqr</span><span class="p">]</span> <span class="n">dipd</span><span class="p">]</span> <span class="n">infra</span><span class="p">]</span> <span class="n">dip</span><span class="p">]</span> <span class="n">infra</span><span class="p">]</span> <span class="n">dip</span><span class="p">]</span> <span class="n">infra</span>
@@ -236,11 +236,11 @@ been embedded in a nested series of quoted programs, e.g.:</p>
 </pre></div>
 </div>
 <p>The <code class="docutils literal notranslate"><span class="pre">Z</span></code> function isn’t hard to make.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;Z == [[] cons cons] step i&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>define(&#39;Z == [[] cons cons] step i&#39;)
 </pre></div>
 </div>
 <p>Here it is in action in a simplified scenario.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;1 [2 3 4] Z&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>V(&#39;1 [2 3 4] Z&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span>                             <span class="o">.</span> <span class="mi">1</span> <span class="p">[</span><span class="mi">2</span> <span class="mi">3</span> <span class="mi">4</span><span class="p">]</span> <span class="n">Z</span>
@@ -273,7 +273,7 @@ been embedded in a nested series of quoted programs, e.g.:</p>
 </pre></div>
 </div>
 <p>And here it is doing the main thing.</p>
-<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;[1 [2 [3 4 25 6] 7] 8] [sqr] [dip dip infra dip infra dip infra] Z&#39;</span><span class="p">)</span>
+<div class="highlight-ipython2 notranslate"><div class="highlight"><pre><span></span>J(&#39;[1 [2 [3 4 25 6] 7] 8] [sqr] [dip dip infra dip infra dip infra] Z&#39;)
 </pre></div>
 </div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="p">[</span><span class="mi">1</span> <span class="p">[</span><span class="mi">2</span> <span class="p">[</span><span class="mi">3</span> <span class="mi">4</span> <span class="mi">625</span> <span class="mi">6</span><span class="p">]</span> <span class="mi">7</span><span class="p">]</span> <span class="mi">8</span><span class="p">]</span>
@@ -389,7 +389,7 @@ i d i d i d d Bingo!
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/notebooks/index.html

@@ -251,7 +251,7 @@
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/parser.html

@@ -161,7 +161,7 @@ Any unbalanced square brackets will raise a ParseError.</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/pretty.html

@@ -182,7 +182,7 @@ trace of the evaluation</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/py-modindex.html

@@ -146,7 +146,7 @@
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/search.html

@@ -120,7 +120,7 @@
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/stack.html

@@ -280,7 +280,7 @@ won’t work because <code class="docutils literal notranslate"><span class="pre
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
     </div>
 
   </body>

docs/sphinx_docs/_build/html/types.html

@@ -49,25 +49,25 @@ information is available.)</p>
 <h2><code class="docutils literal notranslate"><span class="pre">joy.utils.types</span></code><a class="headerlink" href="#joy-utils-types" title="Permalink to this headline">¶</a></h2>
 <p>Curently (asterix after name indicates a function that can be
 auto-compiled to Python):</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">_Tree_add_Ee</span> <span class="o">=</span> <span class="p">([</span><span class="n">a4</span> <span class="n">a5</span> <span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="n">a3</span> <span class="n">a2</span> <span class="n">a1</span> <span class="o">--</span> <span class="p">[</span><span class="n">a2</span> <span class="n">a3</span> <span class="o">...</span><span class="mi">1</span><span class="p">])</span> <span class="o">*</span>
-<span class="n">_Tree_delete_R0</span> <span class="o">=</span> <span class="p">([</span><span class="n">a2</span> <span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="n">a1</span> <span class="o">--</span> <span class="p">[</span><span class="n">a2</span> <span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="n">a2</span> <span class="n">a1</span> <span class="n">a1</span><span class="p">)</span> <span class="o">*</span>
-<span class="n">_Tree_delete_clear_stuff</span> <span class="o">=</span> <span class="p">(</span><span class="n">a3</span> <span class="n">a2</span> <span class="p">[</span><span class="n">a1</span> <span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="o">--</span> <span class="p">[</span><span class="o">...</span><span class="mi">1</span><span class="p">])</span> <span class="o">*</span>
-<span class="n">_Tree_get_E</span> <span class="o">=</span> <span class="p">([</span><span class="n">a3</span> <span class="n">a4</span> <span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="n">a2</span> <span class="n">a1</span> <span class="o">--</span> <span class="n">a4</span><span class="p">)</span> <span class="o">*</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">_Tree_add_Ee</span> <span class="o">=</span> <span class="p">([</span><span class="n">a4</span> <span class="n">a5</span> <span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="n">a3</span> <span class="n">a2</span> <span class="n">a1</span> <span class="o">--</span> <span class="p">[</span><span class="n">a2</span> <span class="n">a3</span> <span class="o">..</span><span class="mf">.1</span><span class="p">])</span> <span class="o">*</span>
+<span class="n">_Tree_delete_R0</span> <span class="o">=</span> <span class="p">([</span><span class="n">a2</span> <span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="n">a1</span> <span class="o">--</span> <span class="p">[</span><span class="n">a2</span> <span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="n">a2</span> <span class="n">a1</span> <span class="n">a1</span><span class="p">)</span> <span class="o">*</span>
+<span class="n">_Tree_delete_clear_stuff</span> <span class="o">=</span> <span class="p">(</span><span class="n">a3</span> <span class="n">a2</span> <span class="p">[</span><span class="n">a1</span> <span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="o">--</span> <span class="p">[</span><span class="o">..</span><span class="mf">.1</span><span class="p">])</span> <span class="o">*</span>
+<span class="n">_Tree_get_E</span> <span class="o">=</span> <span class="p">([</span><span class="n">a3</span> <span class="n">a4</span> <span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="n">a2</span> <span class="n">a1</span> <span class="o">--</span> <span class="n">a4</span><span class="p">)</span> <span class="o">*</span>
 <span class="n">add</span> <span class="o">=</span> <span class="p">(</span><span class="n">n1</span> <span class="n">n2</span> <span class="o">--</span> <span class="n">n3</span><span class="p">)</span>
 <span class="ow">and</span> <span class="o">=</span> <span class="p">(</span><span class="n">b1</span> <span class="n">b2</span> <span class="o">--</span> <span class="n">b3</span><span class="p">)</span>
 <span class="nb">bool</span> <span class="o">=</span> <span class="p">(</span><span class="n">a1</span> <span class="o">--</span> <span class="n">b1</span><span class="p">)</span>
-<span class="n">ccons</span> <span class="o">=</span> <span class="p">(</span><span class="n">a2</span> <span class="n">a1</span> <span class="p">[</span><span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="o">--</span> <span class="p">[</span><span class="n">a2</span> <span class="n">a1</span> <span class="o">...</span><span class="mi">1</span><span class="p">])</span> <span class="o">*</span>
-<span class="n">cons</span> <span class="o">=</span> <span class="p">(</span><span class="n">a1</span> <span class="p">[</span><span class="o">...</span><span class="mi">0</span><span class="p">]</span> <span class="o">--</span> <span class="p">[</span><span class="n">a1</span> <span class="o">...</span><span class="mi">0</span><span class="p">])</span> <span class="o">*</span>
+<span class="n">ccons</span> <span class="o">=</span> <span class="p">(</span><span class="n">a2</span> <span class="n">a1</span> <span class="p">[</span><span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="o">--</span> <span class="p">[</span><span class="n">a2</span> <span class="n">a1</span> <span class="o">..</span><span class="mf">.1</span><span class="p">])</span> <span class="o">*</span>
+<span class="n">cons</span> <span class="o">=</span> <span class="p">(</span><span class="n">a1</span> <span class="p">[</span><span class="o">..</span><span class="mf">.0</span><span class="p">]</span> <span class="o">--</span> <span class="p">[</span><span class="n">a1</span> <span class="o">..</span><span class="mf">.0</span><span class="p">])</span> <span class="o">*</span>
 <span class="n">div</span> <span class="o">=</span> <span class="p">(</span><span class="n">n1</span> <span class="n">n2</span> <span class="o">--</span> <span class="n">n3</span><span class="p">)</span>
 <span class="nb">divmod</span> <span class="o">=</span> <span class="p">(</span><span class="n">n2</span> <span class="n">n1</span> <span class="o">--</span> <span class="n">n4</span> <span class="n">n3</span><span class="p">)</span>
 <span class="n">dup</span> <span class="o">=</span> <span class="p">(</span><span class="n">a1</span> <span class="o">--</span> <span class="n">a1</span> <span class="n">a1</span><span class="p">)</span> <span class="o">*</span>
 <span class="n">dupd</span> <span class="o">=</span> <span class="p">(</span><span class="n">a2</span> <span class="n">a1</span> <span class="o">--</span> <span class="n">a2</span> <span class="n">a2</span> <span class="n">a1</span><span class="p">)</span> <span class="o">*</span>
 <span class="n">dupdd</span> <span class="o">=</span> <span class="p">(</span><span class="n">a3</span> <span class="n">a2</span> <span class="n">a1</span> <span class="o">--</span> <span class="n">a3</span> <span class="n">a3</span> <span class="n">a2</span> <span class="n">a1</span><span class="p">)</span> <span class="o">*</span>
 <span class="n">eq</span> <span class="o">=</span> <span class="p">(</span><span class="n">n1</span> <span class="n">n2</span> <span class="o">--</span> <span class="n">b1</span><span class="p">)</span>
-<span class="n">first</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="o">--</span> <span class="n">a1</span><span class="p">)</span> <span class="o">*</span>
-<span class="n">first_two</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="n">a2</span> <span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="o">--</span> <span class="n">a1</span> <span class="n">a2</span><span class="p">)</span> <span class="o">*</span>
+<span class="n">first</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="o">--</span> <span class="n">a1</span><span class="p">)</span> <span class="o">*</span>
+<span class="n">first_two</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="n">a2</span> <span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="o">--</span> <span class="n">a1</span> <span class="n">a2</span><span class="p">)</span> <span class="o">*</span>
 <span class="n">floordiv</span> <span class="o">=</span> <span class="p">(</span><span class="n">n1</span> <span class="n">n2</span> <span class="o">--</span> <span class="n">n3</span><span class="p">)</span>
-<span class="n">fourth</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="n">a2</span> <span class="n">a3</span> <span class="n">a4</span> <span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="o">--</span> <span class="n">a4</span><span class="p">)</span> <span class="o">*</span>
+<span class="n">fourth</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="n">a2</span> <span class="n">a3</span> <span class="n">a4</span> <span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="o">--</span> <span class="n">a4</span><span class="p">)</span> <span class="o">*</span>
 <span class="n">ge</span> <span class="o">=</span> <span class="p">(</span><span class="n">n1</span> <span class="n">n2</span> <span class="o">--</span> <span class="n">b1</span><span class="p">)</span>
 <span class="n">gt</span> <span class="o">=</span> <span class="p">(</span><span class="n">n1</span> <span class="n">n2</span> <span class="o">--</span> <span class="n">b1</span><span class="p">)</span>
 <span class="n">le</span> <span class="o">=</span> <span class="p">(</span><span class="n">n1</span> <span class="n">n2</span> <span class="o">--</span> <span class="n">b1</span><span class="p">)</span>
@@ -88,27 +88,27 @@ auto-compiled to Python):</p>
 <span class="n">popopdd</span> <span class="o">=</span> <span class="p">(</span><span class="n">a4</span> <span class="n">a3</span> <span class="n">a2</span> <span class="n">a1</span> <span class="o">--</span> <span class="n">a2</span> <span class="n">a1</span><span class="p">)</span> <span class="o">*</span>
 <span class="nb">pow</span> <span class="o">=</span> <span class="p">(</span><span class="n">n1</span> <span class="n">n2</span> <span class="o">--</span> <span class="n">n3</span><span class="p">)</span>
 <span class="n">pred</span> <span class="o">=</span> <span class="p">(</span><span class="n">n1</span> <span class="o">--</span> <span class="n">n2</span><span class="p">)</span>
-<span class="n">rest</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="o">...</span><span class="mi">0</span><span class="p">]</span> <span class="o">--</span> <span class="p">[</span><span class="o">...</span><span class="mi">0</span><span class="p">])</span> <span class="o">*</span>
+<span class="n">rest</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="o">..</span><span class="mf">.0</span><span class="p">]</span> <span class="o">--</span> <span class="p">[</span><span class="o">..</span><span class="mf">.0</span><span class="p">])</span> <span class="o">*</span>
 <span class="n">rolldown</span> <span class="o">=</span> <span class="p">(</span><span class="n">a1</span> <span class="n">a2</span> <span class="n">a3</span> <span class="o">--</span> <span class="n">a2</span> <span class="n">a3</span> <span class="n">a1</span><span class="p">)</span> <span class="o">*</span>
 <span class="n">rollup</span> <span class="o">=</span> <span class="p">(</span><span class="n">a1</span> <span class="n">a2</span> <span class="n">a3</span> <span class="o">--</span> <span class="n">a3</span> <span class="n">a1</span> <span class="n">a2</span><span class="p">)</span> <span class="o">*</span>
-<span class="n">rrest</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="n">a2</span> <span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="o">--</span> <span class="p">[</span><span class="o">...</span><span class="mi">1</span><span class="p">])</span> <span class="o">*</span>
+<span class="n">rrest</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="n">a2</span> <span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="o">--</span> <span class="p">[</span><span class="o">..</span><span class="mf">.1</span><span class="p">])</span> <span class="o">*</span>
 <span class="n">rshift</span> <span class="o">=</span> <span class="p">(</span><span class="n">n1</span> <span class="n">n2</span> <span class="o">--</span> <span class="n">n3</span><span class="p">)</span>
-<span class="n">second</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="n">a2</span> <span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="o">--</span> <span class="n">a2</span><span class="p">)</span> <span class="o">*</span>
+<span class="n">second</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="n">a2</span> <span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="o">--</span> <span class="n">a2</span><span class="p">)</span> <span class="o">*</span>
 <span class="n">sqrt</span> <span class="o">=</span> <span class="p">(</span><span class="n">n1</span> <span class="o">--</span> <span class="n">n2</span><span class="p">)</span>
 <span class="n">stack</span> <span class="o">=</span> <span class="p">(</span><span class="o">...</span> <span class="o">--</span> <span class="o">...</span> <span class="p">[</span><span class="o">...</span><span class="p">])</span> <span class="o">*</span>
 <span class="n">stuncons</span> <span class="o">=</span> <span class="p">(</span><span class="o">...</span> <span class="n">a1</span> <span class="o">--</span> <span class="o">...</span> <span class="n">a1</span> <span class="n">a1</span> <span class="p">[</span><span class="o">...</span><span class="p">])</span> <span class="o">*</span>
 <span class="n">stununcons</span> <span class="o">=</span> <span class="p">(</span><span class="o">...</span> <span class="n">a2</span> <span class="n">a1</span> <span class="o">--</span> <span class="o">...</span> <span class="n">a2</span> <span class="n">a1</span> <span class="n">a1</span> <span class="n">a2</span> <span class="p">[</span><span class="o">...</span><span class="p">])</span> <span class="o">*</span>
 <span class="n">sub</span> <span class="o">=</span> <span class="p">(</span><span class="n">n1</span> <span class="n">n2</span> <span class="o">--</span> <span class="n">n3</span><span class="p">)</span>
 <span class="n">succ</span> <span class="o">=</span> <span class="p">(</span><span class="n">n1</span> <span class="o">--</span> <span class="n">n2</span><span class="p">)</span>
-<span class="n">swaack</span> <span class="o">=</span> <span class="p">([</span><span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="o">--</span> <span class="p">[</span><span class="o">...</span><span class="mi">0</span><span class="p">])</span> <span class="o">*</span>
+<span class="n">swaack</span> <span class="o">=</span> <span class="p">([</span><span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="o">--</span> <span class="p">[</span><span class="o">..</span><span class="mf">.0</span><span class="p">])</span> <span class="o">*</span>
 <span class="n">swap</span> <span class="o">=</span> <span class="p">(</span><span class="n">a1</span> <span class="n">a2</span> <span class="o">--</span> <span class="n">a2</span> <span class="n">a1</span><span class="p">)</span> <span class="o">*</span>
-<span class="n">swons</span> <span class="o">=</span> <span class="p">([</span><span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="n">a1</span> <span class="o">--</span> <span class="p">[</span><span class="n">a1</span> <span class="o">...</span><span class="mi">1</span><span class="p">])</span> <span class="o">*</span>
-<span class="n">third</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="n">a2</span> <span class="n">a3</span> <span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="o">--</span> <span class="n">a3</span><span class="p">)</span> <span class="o">*</span>
+<span class="n">swons</span> <span class="o">=</span> <span class="p">([</span><span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="n">a1</span> <span class="o">--</span> <span class="p">[</span><span class="n">a1</span> <span class="o">..</span><span class="mf">.1</span><span class="p">])</span> <span class="o">*</span>
+<span class="n">third</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="n">a2</span> <span class="n">a3</span> <span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="o">--</span> <span class="n">a3</span><span class="p">)</span> <span class="o">*</span>
 <span class="n">truediv</span> <span class="o">=</span> <span class="p">(</span><span class="n">n1</span> <span class="n">n2</span> <span class="o">--</span> <span class="n">n3</span><span class="p">)</span>
 <span class="n">tuck</span> <span class="o">=</span> <span class="p">(</span><span class="n">a2</span> <span class="n">a1</span> <span class="o">--</span> <span class="n">a1</span> <span class="n">a2</span> <span class="n">a1</span><span class="p">)</span> <span class="o">*</span>
-<span class="n">uncons</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="o">...</span><span class="mi">0</span><span class="p">]</span> <span class="o">--</span> <span class="n">a1</span> <span class="p">[</span><span class="o">...</span><span class="mi">0</span><span class="p">])</span> <span class="o">*</span>
+<span class="n">uncons</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="o">..</span><span class="mf">.0</span><span class="p">]</span> <span class="o">--</span> <span class="n">a1</span> <span class="p">[</span><span class="o">..</span><span class="mf">.0</span><span class="p">])</span> <span class="o">*</span>
 <span class="n">unit</span> <span class="o">=</span> <span class="p">(</span><span class="n">a1</span> <span class="o">--</span> <span class="p">[</span><span class="n">a1</span> <span class="p">])</span> <span class="o">*</span>
-<span class="n">unswons</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="o">--</span> <span class="p">[</span><span class="o">...</span><span class="mi">1</span><span class="p">]</span> <span class="n">a1</span><span class="p">)</span> <span class="o">*</span>
+<span class="n">unswons</span> <span class="o">=</span> <span class="p">([</span><span class="n">a1</span> <span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="o">--</span> <span class="p">[</span><span class="o">..</span><span class="mf">.1</span><span class="p">]</span> <span class="n">a1</span><span class="p">)</span> <span class="o">*</span>
 </pre></div>
 </div>
 <p>Example output of the <code class="docutils literal notranslate"><span class="pre">infer()</span></code> function.  The first number on each
@@ -246,7 +246,7 @@ far.</p>
 </a>
 <br />
 <span xmlns:dct="http://purl.org/dc/terms/" property="dct:title">Thun Documentation</span> by <a xmlns:cc="http://creativecommons.org/ns#" href="https://joypy.osdn.io/" property="cc:attributionName" rel="cc:attributionURL">Simon Forman</a> is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.<br />Based on a work at <a xmlns:dct="http://purl.org/dc/terms/" href="https://osdn.net/projects/joypy/" rel="dct:source">https://osdn.net/projects/joypy/</a>.
-      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.3.0.
+      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 4.4.0.
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