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<a href='https://github.com/akkartik/mu/blob/master/022arithmetic.cc'>https://github.com/akkartik/mu/blob/master/022arithmetic.cc</a>
<pre id='vimCodeElement'>
<span id="L1" class="LineNr">  1 </span><span class="Comment">//: Arithmetic primitives</span>
<span id="L2" class="LineNr">  2 </span>
<span id="L3" class="LineNr">  3 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L4" class="LineNr">  4 </span>ADD<span class="Delimiter">,</span>
<span id="L5" class="LineNr">  5 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L6" class="LineNr">  6 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;add&quot;</span><span class="Delimiter">,</span> ADD<span class="Delimiter">);</span>
<span id="L7" class="LineNr">  7 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L8" class="LineNr">  8 </span><span class="Normal">case</span> ADD: <span class="Delimiter">{</span>
<span id="L9" class="LineNr">  9 </span>  <span class="Comment">// primary goal of these checks is to forbid address arithmetic</span>
<span id="L10" class="LineNr"> 10 </span>  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; <a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L11" class="LineNr"> 11 </span>    <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L12" class="LineNr"> 12 </span>      <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'add' requires number ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L13" class="LineNr"> 13 </span>      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
<span id="L14" class="LineNr"> 14 </span>    <span class="Delimiter">}</span>
<span id="L15" class="LineNr"> 15 </span>  <span class="Delimiter">}</span>
<span id="L16" class="LineNr"> 16 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L17" class="LineNr"> 17 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'add' yields exactly one product in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L18" class="LineNr"> 18 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L19" class="LineNr"> 19 </span>  <span class="Delimiter">}</span>
<span id="L20" class="LineNr"> 20 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L21" class="LineNr"> 21 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'add' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L22" class="LineNr"> 22 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L23" class="LineNr"> 23 </span>  <span class="Delimiter">}</span>
<span id="L24" class="LineNr"> 24 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L25" class="LineNr"> 25 </span><span class="Delimiter">}</span>
<span id="L26" class="LineNr"> 26 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L27" class="LineNr"> 27 </span><span class="Normal">case</span> ADD: <span class="Delimiter">{</span>
<span id="L28" class="LineNr"> 28 </span>  <span class="Normal">double</span> result = <span class="Constant">0</span><span class="Delimiter">;</span>
<span id="L29" class="LineNr"> 29 </span>  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; <a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L30" class="LineNr"> 30 </span>    result += ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span id="L31" class="LineNr"> 31 </span>  <span class="Delimiter">}</span>
<span id="L32" class="LineNr"> 32 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
<span id="L33" class="LineNr"> 33 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
<span id="L34" class="LineNr"> 34 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L35" class="LineNr"> 35 </span><span class="Delimiter">}</span>
<span id="L36" class="LineNr"> 36 </span>
<span id="L37" class="LineNr"> 37 </span><span class="Delimiter">:(scenario add_literal)</span>
<span id="L38" class="LineNr"> 38 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L39" class="LineNr"> 39 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>add <span class="Constant">23</span><span class="Delimiter">,</span> <span class="Constant">34</span>
<span id="L40" class="LineNr"> 40 </span>]
<span id="L41" class="LineNr"> 41 </span><span class="traceContains">+mem: storing 57 in location 1</span>
<span id="L42" class="LineNr"> 42 </span>
<span id="L43" class="LineNr"> 43 </span><span class="Delimiter">:(scenario add)</span>
<span id="L44" class="LineNr"> 44 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L45" class="LineNr"> 45 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">23</span>
<span id="L46" class="LineNr"> 46 </span>  <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">34</span>
<span id="L47" class="LineNr"> 47 </span>  <span class="Constant">3</span>:num<span class="Special"> &lt;- </span>add <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">2</span>:num
<span id="L48" class="LineNr"> 48 </span>]
<span id="L49" class="LineNr"> 49 </span><span class="traceContains">+mem: storing 57 in location 3</span>
<span id="L50" class="LineNr"> 50 </span>
<span id="L51" class="LineNr"> 51 </span><span class="Delimiter">:(scenario add_multiple)</span>
<span id="L52" class="LineNr"> 52 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L53" class="LineNr"> 53 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>add <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">4</span><span class="Delimiter">,</span> <span class="Constant">5</span>
<span id="L54" class="LineNr"> 54 </span>]
<span id="L55" class="LineNr"> 55 </span><span class="traceContains">+mem: storing 12 in location 1</span>
<span id="L56" class="LineNr"> 56 </span>
<span id="L57" class="LineNr"> 57 </span><span class="Delimiter">:(scenario add_checks_type)</span>
<span id="L58" class="LineNr"> 58 </span><span class="Special">% Hide_errors = true;</span>
<span id="L59" class="LineNr"> 59 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L60" class="LineNr"> 60 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>add <span class="Constant">2</span>:<span class="Normal">bool</span><span class="Delimiter">,</span> <span class="Constant">1</span>
<span id="L61" class="LineNr"> 61 </span>]
<span id="L62" class="LineNr"> 62 </span><span class="traceContains">+error: <a href='000organization.cc.html#L113'>main</a>: 'add' requires number ingredients, but got '2:bool'</span>
<span id="L63" class="LineNr"> 63 </span>
<span id="L64" class="LineNr"> 64 </span><span class="Delimiter">:(scenario add_checks_return_type)</span>
<span id="L65" class="LineNr"> 65 </span><span class="Special">% Hide_errors = true;</span>
<span id="L66" class="LineNr"> 66 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L67" class="LineNr"> 67 </span>  <span class="Constant">1</span>:&amp;:num<span class="Special"> &lt;- </span>add <span class="Constant">2</span><span class="Delimiter">,</span> <span class="Constant">2</span>
<span id="L68" class="LineNr"> 68 </span>]
<span id="L69" class="LineNr"> 69 </span><span class="traceContains">+error: <a href='000organization.cc.html#L113'>main</a>: 'add' should yield a number, but got '1:&amp;:num'</span>
<span id="L70" class="LineNr"> 70 </span>
<span id="L71" class="LineNr"> 71 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L72" class="LineNr"> 72 </span>SUBTRACT<span class="Delimiter">,</span>
<span id="L73" class="LineNr"> 73 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L74" class="LineNr"> 74 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;subtract&quot;</span><span class="Delimiter">,</span> SUBTRACT<span class="Delimiter">);</span>
<span id="L75" class="LineNr"> 75 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L76" class="LineNr"> 76 </span><span class="Normal">case</span> SUBTRACT: <span class="Delimiter">{</span>
<span id="L77" class="LineNr"> 77 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>empty<span class="Delimiter">())</span> <span class="Delimiter">{</span>
<span id="L78" class="LineNr"> 78 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'subtract' has no ingredients\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L79" class="LineNr"> 79 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L80" class="LineNr"> 80 </span>  <span class="Delimiter">}</span>
<span id="L81" class="LineNr"> 81 </span>  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; <a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L82" class="LineNr"> 82 </span>    <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L83" class="LineNr"> 83 </span>      <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'subtract' requires number ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L84" class="LineNr"> 84 </span>      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
<span id="L85" class="LineNr"> 85 </span>    <span class="Delimiter">}</span>
<span id="L86" class="LineNr"> 86 </span>  <span class="Delimiter">}</span>
<span id="L87" class="LineNr"> 87 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L88" class="LineNr"> 88 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'subtract' yields exactly one product in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L89" class="LineNr"> 89 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L90" class="LineNr"> 90 </span>  <span class="Delimiter">}</span>
<span id="L91" class="LineNr"> 91 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L92" class="LineNr"> 92 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'subtract' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L93" class="LineNr"> 93 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L94" class="LineNr"> 94 </span>  <span class="Delimiter">}</span>
<span id="L95" class="LineNr"> 95 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L96" class="LineNr"> 96 </span><span class="Delimiter">}</span>
<span id="L97" class="LineNr"> 97 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L98" class="LineNr"> 98 </span><span class="Normal">case</span> SUBTRACT: <span class="Delimiter">{</span>
<span id="L99" class="LineNr"> 99 </span>  <span class="Normal">double</span> result = ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span id="L100" class="LineNr">100 </span>  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">1</span><span class="Delimiter">;</span>  i &lt; <a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span>
<span id="L101" class="LineNr">101 </span>    result -= ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span id="L102" class="LineNr">102 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
<span id="L103" class="LineNr">103 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
<span id="L104" class="LineNr">104 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L105" class="LineNr">105 </span><span class="Delimiter">}</span>
<span id="L106" class="LineNr">106 </span>
<span id="L107" class="LineNr">107 </span><span class="Delimiter">:(scenario subtract_literal)</span>
<span id="L108" class="LineNr">108 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L109" class="LineNr">109 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>subtract <span class="Constant">5</span><span class="Delimiter">,</span> <span class="Constant">2</span>
<span id="L110" class="LineNr">110 </span>]
<span id="L111" class="LineNr">111 </span><span class="traceContains">+mem: storing 3 in location 1</span>
<span id="L112" class="LineNr">112 </span>
<span id="L113" class="LineNr">113 </span><span class="Delimiter">:(scenario subtract)</span>
<span id="L114" class="LineNr">114 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L115" class="LineNr">115 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">23</span>
<span id="L116" class="LineNr">116 </span>  <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">34</span>
<span id="L117" class="LineNr">117 </span>  <span class="Constant">3</span>:num<span class="Special"> &lt;- </span>subtract <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">2</span>:num
<span id="L118" class="LineNr">118 </span>]
<span id="L119" class="LineNr">119 </span><span class="traceContains">+mem: storing -11 in location 3</span>
<span id="L120" class="LineNr">120 </span>
<span id="L121" class="LineNr">121 </span><span class="Delimiter">:(scenario subtract_multiple)</span>
<span id="L122" class="LineNr">122 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L123" class="LineNr">123 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>subtract <span class="Constant">6</span><span class="Delimiter">,</span> <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">2</span>
<span id="L124" class="LineNr">124 </span>]
<span id="L125" class="LineNr">125 </span><span class="traceContains">+mem: storing 1 in location 1</span>
<span id="L126" class="LineNr">126 </span>
<span id="L127" class="LineNr">127 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L128" class="LineNr">128 </span>MULTIPLY<span class="Delimiter">,</span>
<span id="L129" class="LineNr">129 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L130" class="LineNr">130 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;multiply&quot;</span><span class="Delimiter">,</span> MULTIPLY<span class="Delimiter">);</span>
<span id="L131" class="LineNr">131 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L132" class="LineNr">132 </span><span class="Normal">case</span> MULTIPLY: <span class="Delimiter">{</span>
<span id="L133" class="LineNr">133 </span>  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; <a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L134" class="LineNr">134 </span>    <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L135" class="LineNr">135 </span>      <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'multiply' requires number ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L136" class="LineNr">136 </span>      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
<span id="L137" class="LineNr">137 </span>    <span class="Delimiter">}</span>
<span id="L138" class="LineNr">138 </span>  <span class="Delimiter">}</span>
<span id="L139" class="LineNr">139 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L140" class="LineNr">140 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'multiply' yields exactly one product in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L141" class="LineNr">141 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L142" class="LineNr">142 </span>  <span class="Delimiter">}</span>
<span id="L143" class="LineNr">143 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L144" class="LineNr">144 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'multiply' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L145" class="LineNr">145 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L146" class="LineNr">146 </span>  <span class="Delimiter">}</span>
<span id="L147" class="LineNr">147 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L148" class="LineNr">148 </span><span class="Delimiter">}</span>
<span id="L149" class="LineNr">149 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L150" class="LineNr">150 </span><span class="Normal">case</span> MULTIPLY: <span class="Delimiter">{</span>
<span id="L151" class="LineNr">151 </span>  <span class="Normal">double</span> result = <span class="Constant">1</span><span class="Delimiter">;</span>
<span id="L152" class="LineNr">152 </span>  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; <a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L153" class="LineNr">153 </span>    result *= ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span id="L154" class="LineNr">154 </span>  <span class="Delimiter">}</span>
<span id="L155" class="LineNr">155 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
<span id="L156" class="LineNr">156 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
<span id="L157" class="LineNr">157 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L158" class="LineNr">158 </span><span class="Delimiter">}</span>
<span id="L159" class="LineNr">159 </span>
<span id="L160" class="LineNr">160 </span><span class="Delimiter">:(scenario multiply_literal)</span>
<span id="L161" class="LineNr">161 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L162" class="LineNr">162 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>multiply <span class="Constant">2</span><span class="Delimiter">,</span> <span class="Constant">3</span>
<span id="L163" class="LineNr">163 </span>]
<span id="L164" class="LineNr">164 </span><span class="traceContains">+mem: storing 6 in location 1</span>
<span id="L165" class="LineNr">165 </span>
<span id="L166" class="LineNr">166 </span><span class="Delimiter">:(scenario multiply)</span>
<span id="L167" class="LineNr">167 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L168" class="LineNr">168 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">4</span>
<span id="L169" class="LineNr">169 </span>  <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">6</span>
<span id="L170" class="LineNr">170 </span>  <span class="Constant">3</span>:num<span class="Special"> &lt;- </span>multiply <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">2</span>:num
<span id="L171" class="LineNr">171 </span>]
<span id="L172" class="LineNr">172 </span><span class="traceContains">+mem: storing 24 in location 3</span>
<span id="L173" class="LineNr">173 </span>
<span id="L174" class="LineNr">174 </span><span class="Delimiter">:(scenario multiply_multiple)</span>
<span id="L175" class="LineNr">175 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L176" class="LineNr">176 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>multiply <span class="Constant">2</span><span class="Delimiter">,</span> <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">4</span>
<span id="L177" class="LineNr">177 </span>]
<span id="L178" class="LineNr">178 </span><span class="traceContains">+mem: storing 24 in location 1</span>
<span id="L179" class="LineNr">179 </span>
<span id="L180" class="LineNr">180 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L181" class="LineNr">181 </span>DIVIDE<span class="Delimiter">,</span>
<span id="L182" class="LineNr">182 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L183" class="LineNr">183 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;divide&quot;</span><span class="Delimiter">,</span> DIVIDE<span class="Delimiter">);</span>
<span id="L184" class="LineNr">184 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L185" class="LineNr">185 </span><span class="Normal">case</span> DIVIDE: <span class="Delimiter">{</span>
<span id="L186" class="LineNr">186 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>empty<span class="Delimiter">())</span> <span class="Delimiter">{</span>
<span id="L187" class="LineNr">187 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide' has no ingredients\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L188" class="LineNr">188 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L189" class="LineNr">189 </span>  <span class="Delimiter">}</span>
<span id="L190" class="LineNr">190 </span>  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; <a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L191" class="LineNr">191 </span>    <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L192" class="LineNr">192 </span>      <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide' requires number ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L193" class="LineNr">193 </span>      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
<span id="L194" class="LineNr">194 </span>    <span class="Delimiter">}</span>
<span id="L195" class="LineNr">195 </span>  <span class="Delimiter">}</span>
<span id="L196" class="LineNr">196 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L197" class="LineNr">197 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide' yields exactly one product in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L198" class="LineNr">198 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L199" class="LineNr">199 </span>  <span class="Delimiter">}</span>
<span id="L200" class="LineNr">200 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L201" class="LineNr">201 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L202" class="LineNr">202 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L203" class="LineNr">203 </span>  <span class="Delimiter">}</span>
<span id="L204" class="LineNr">204 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L205" class="LineNr">205 </span><span class="Delimiter">}</span>
<span id="L206" class="LineNr">206 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L207" class="LineNr">207 </span><span class="Normal">case</span> DIVIDE: <span class="Delimiter">{</span>
<span id="L208" class="LineNr">208 </span>  <span class="Normal">double</span> result = ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span id="L209" class="LineNr">209 </span>  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">1</span><span class="Delimiter">;</span>  i &lt; <a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span>
<span id="L210" class="LineNr">210 </span>    result /= ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span id="L211" class="LineNr">211 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
<span id="L212" class="LineNr">212 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
<span id="L213" class="LineNr">213 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L214" class="LineNr">214 </span><span class="Delimiter">}</span>
<span id="L215" class="LineNr">215 </span>
<span id="L216" class="LineNr">216 </span><span class="Delimiter">:(scenario divide_literal)</span>
<span id="L217" class="LineNr">217 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L218" class="LineNr">218 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>divide <span class="Constant">8</span><span class="Delimiter">,</span> <span class="Constant">2</span>
<span id="L219" class="LineNr">219 </span>]
<span id="L220" class="LineNr">220 </span><span class="traceContains">+mem: storing 4 in location 1</span>
<span id="L221" class="LineNr">221 </span>
<span id="L222" class="LineNr">222 </span><span class="Delimiter">:(scenario divide)</span>
<span id="L223" class="LineNr">223 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L224" class="LineNr">224 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">27</span>
<span id="L225" class="LineNr">225 </span>  <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">3</span>
<span id="L226" class="LineNr">226 </span>  <span class="Constant">3</span>:num<span class="Special"> &lt;- </span>divide <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">2</span>:num
<span id="L227" class="LineNr">227 </span>]
<span id="L228" class="LineNr">228 </span><span class="traceContains">+mem: storing 9 in location 3</span>
<span id="L229" class="LineNr">229 </span>
<span id="L230" class="LineNr">230 </span><span class="Delimiter">:(scenario divide_multiple)</span>
<span id="L231" class="LineNr">231 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L232" class="LineNr">232 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>divide <span class="Constant">12</span><span class="Delimiter">,</span> <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">2</span>
<span id="L233" class="LineNr">233 </span>]
<span id="L234" class="LineNr">234 </span><span class="traceContains">+mem: storing 2 in location 1</span>
<span id="L235" class="LineNr">235 </span>
<span id="L236" class="LineNr">236 </span><span class="Comment">//: Integer division</span>
<span id="L237" class="LineNr">237 </span>
<span id="L238" class="LineNr">238 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L239" class="LineNr">239 </span>DIVIDE_WITH_REMAINDER<span class="Delimiter">,</span>
<span id="L240" class="LineNr">240 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L241" class="LineNr">241 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;divide-with-remainder&quot;</span><span class="Delimiter">,</span> DIVIDE_WITH_REMAINDER<span class="Delimiter">);</span>
<span id="L242" class="LineNr">242 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L243" class="LineNr">243 </span><span class="Normal">case</span> DIVIDE_WITH_REMAINDER: <span class="Delimiter">{</span>
<span id="L244" class="LineNr">244 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L245" class="LineNr">245 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide-with-remainder' requires exactly two ingredients, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L246" class="LineNr">246 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L247" class="LineNr">247 </span>  <span class="Delimiter">}</span>
<span id="L248" class="LineNr">248 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> || !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L249" class="LineNr">249 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide-with-remainder' requires number ingredients, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L250" class="LineNr">250 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L251" class="LineNr">251 </span>  <span class="Delimiter">}</span>
<span id="L252" class="LineNr">252 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L253" class="LineNr">253 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide-with-remainder' yields two products in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L254" class="LineNr">254 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L255" class="LineNr">255 </span>  <span class="Delimiter">}</span>
<span id="L256" class="LineNr">256 </span>  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; <a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L257" class="LineNr">257 </span>    <span class="Normal">if</span> <span class="Delimiter">(</span>!is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L258" class="LineNr">258 </span>      <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide-with-remainder' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L259" class="LineNr">259 </span>      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
<span id="L260" class="LineNr">260 </span>    <span class="Delimiter">}</span>
<span id="L261" class="LineNr">261 </span>  <span class="Delimiter">}</span>
<span id="L262" class="LineNr">262 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L263" class="LineNr">263 </span><span class="Delimiter">}</span>
<span id="L264" class="LineNr">264 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L265" class="LineNr">265 </span><span class="Normal">case</span> DIVIDE_WITH_REMAINDER: <span class="Delimiter">{</span>
<span id="L266" class="LineNr">266 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">2</span><span class="Delimiter">);</span>
<span id="L267" class="LineNr">267 </span>  <span class="Comment">// fractions will be dropped; very large numbers will overflow</span>
<span id="L268" class="LineNr">268 </span>  <span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span> a = <span class="Normal">static_cast</span>&lt;<span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
<span id="L269" class="LineNr">269 </span>  <span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span> b = <span class="Normal">static_cast</span>&lt;<span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
<span id="L270" class="LineNr">270 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>b == <span class="Constant">0</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L271" class="LineNr">271 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span><a href='026call.cc.html#L87'>current_recipe_name</a><span class="Delimiter">())</span> &lt;&lt; <span class="Constant">&quot;divide by zero in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>current_instruction<span class="Delimiter">())</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L272" class="LineNr">272 </span>    products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">2</span><span class="Delimiter">);</span>
<span id="L273" class="LineNr">273 </span>    products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span id="L274" class="LineNr">274 </span>    products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span id="L275" class="LineNr">275 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L276" class="LineNr">276 </span>  <span class="Delimiter">}</span>
<span id="L277" class="LineNr">277 </span>  <span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span> quotient = a / b<span class="Delimiter">;</span>
<span id="L278" class="LineNr">278 </span>  <span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span> remainder = a % b<span class="Delimiter">;</span>
<span id="L279" class="LineNr">279 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span><span class="Normal">static_cast</span>&lt;<span class="Normal">double</span>&gt;<span class="Delimiter">(</span>quotient<span class="Delimiter">));</span>
<span id="L280" class="LineNr">280 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span><span class="Normal">static_cast</span>&lt;<span class="Normal">double</span>&gt;<span class="Delimiter">(</span>remainder<span class="Delimiter">));</span>
<span id="L281" class="LineNr">281 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L282" class="LineNr">282 </span><span class="Delimiter">}</span>
<span id="L283" class="LineNr">283 </span>
<span id="L284" class="LineNr">284 </span><span class="Delimiter">:(scenario divide_with_remainder_literal)</span>
<span id="L285" class="LineNr">285 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L286" class="LineNr">286 </span>  <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>divide-with-remainder <span class="Constant">9</span><span class="Delimiter">,</span> <span class="Constant">2</span>
<span id="L287" class="LineNr">287 </span>]
<span id="L288" class="LineNr">288 </span><span class="traceContains">+mem: storing 4 in location 1</span>
<span id="L289" class="LineNr">289 </span><span class="traceContains">+mem: storing 1 in location 2</span>
<span id="L290" class="LineNr">290 </span>
<span id="L291" class="LineNr">291 </span><span class="Delimiter">:(scenario divide_with_remainder)</span>
<span id="L292" class="LineNr">292 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L293" class="LineNr">293 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">27</span>
<span id="L294" class="LineNr">294 </span>  <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">11</span>
<span id="L295" class="LineNr">295 </span>  <span class="Constant">3</span>:num<span class="Delimiter">,</span> <span class="Constant">4</span>:num<span class="Special"> &lt;- </span>divide-with-remainder <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">2</span>:num
<span id="L296" class="LineNr">296 </span>]
<span id="L297" class="LineNr">297 </span><span class="traceContains">+mem: storing 2 in location 3</span>
<span id="L298" class="LineNr">298 </span><span class="traceContains">+mem: storing 5 in location 4</span>
<span id="L299" class="LineNr">299 </span>
<span id="L300" class="LineNr">300 </span><span class="Delimiter">:(scenario divide_with_decimal_point)</span>
<span id="L301" class="LineNr">301 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L302" class="LineNr">302 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>divide <span class="Constant">5</span><span class="Delimiter">,</span> <span class="Constant">2</span>
<span id="L303" class="LineNr">303 </span>]
<span id="L304" class="LineNr">304 </span><span class="traceContains">+mem: storing 2.5 in location 1</span>
<span id="L305" class="LineNr">305 </span>
<span id="L306" class="LineNr">306 </span><span class="Delimiter">:(scenario divide_by_zero)</span>
<span id="L307" class="LineNr">307 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L308" class="LineNr">308 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>divide <span class="Constant">4</span><span class="Delimiter">,</span> <span class="Constant">0</span>
<span id="L309" class="LineNr">309 </span>]
<span id="L310" class="LineNr">310 </span><span class="traceContains">+mem: storing inf in location 1</span>
<span id="L311" class="LineNr">311 </span>
<span id="L312" class="LineNr">312 </span><span class="Delimiter">:(scenario divide_by_zero_2)</span>
<span id="L313" class="LineNr">313 </span><span class="Special">% Hide_errors = true;</span>
<span id="L314" class="LineNr">314 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L315" class="LineNr">315 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>divide-with-remainder <span class="Constant">4</span><span class="Delimiter">,</span> <span class="Constant">0</span>
<span id="L316" class="LineNr">316 </span>]
<span id="L317" class="LineNr">317 </span><span class="Comment"># integer division can't return floating-point infinity</span>
<span id="L318" class="LineNr">318 </span><span class="traceContains">+error: <a href='000organization.cc.html#L113'>main</a>: divide by zero in '1:num &lt;- divide-with-remainder 4, 0'</span>
<span id="L319" class="LineNr">319 </span>
<span id="L320" class="LineNr">320 </span><span class="Comment">//: Bitwise shifts</span>
<span id="L321" class="LineNr">321 </span>
<span id="L322" class="LineNr">322 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L323" class="LineNr">323 </span>SHIFT_LEFT<span class="Delimiter">,</span>
<span id="L324" class="LineNr">324 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L325" class="LineNr">325 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;shift-left&quot;</span><span class="Delimiter">,</span> SHIFT_LEFT<span class="Delimiter">);</span>
<span id="L326" class="LineNr">326 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L327" class="LineNr">327 </span><span class="Normal">case</span> SHIFT_LEFT: <span class="Delimiter">{</span>
<span id="L328" class="LineNr">328 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L329" class="LineNr">329 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-left' requires exactly two ingredients, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L330" class="LineNr">330 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L331" class="LineNr">331 </span>  <span class="Delimiter">}</span>
<span id="L332" class="LineNr">332 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> || !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L333" class="LineNr">333 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-left' requires number ingredients, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L334" class="LineNr">334 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L335" class="LineNr">335 </span>  <span class="Delimiter">}</span>
<span id="L336" class="LineNr">336 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L337" class="LineNr">337 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-left' yields one product in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L338" class="LineNr">338 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L339" class="LineNr">339 </span>  <span class="Delimiter">}</span>
<span id="L340" class="LineNr">340 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L341" class="LineNr">341 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-left' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L342" class="LineNr">342 </span>    <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
<span id="L343" class="LineNr">343 </span>  <span class="Delimiter">}</span>
<span id="L344" class="LineNr">344 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L345" class="LineNr">345 </span><span class="Delimiter">}</span>
<span id="L346" class="LineNr">346 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L347" class="LineNr">347 </span><span class="Normal">case</span> SHIFT_LEFT: <span class="Delimiter">{</span>
<span id="L348" class="LineNr">348 </span>  <span class="Comment">// ingredients must be integers</span>
<span id="L349" class="LineNr">349 </span>  <span class="Normal">int</span> a = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
<span id="L350" class="LineNr">350 </span>  <span class="Normal">int</span> b = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
<span id="L351" class="LineNr">351 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
<span id="L352" class="LineNr">352 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>b &lt; <span class="Constant">0</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L353" class="LineNr">353 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span><a href='026call.cc.html#L87'>current_recipe_name</a><span class="Delimiter">())</span> &lt;&lt; <span class="Constant">&quot;second ingredient can't be negative in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span><a href='026call.cc.html#L89'>current_instruction</a><span class="Delimiter">())</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
<span id="L354" class="LineNr">354 </span>    products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span id="L355" class="LineNr">355 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L356" class="LineNr">356 </span>  <span class="Delimiter">}</span>
<span id="L357" class="LineNr">357 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>a&lt;&lt;b<span class="Delimiter">);</span>
<span id="L358" class="LineNr">358 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L359" class="LineNr">359 </span><span class="Delimiter">}</span>
<span id="L360" class="LineNr">360 </span>
<span id="L361" class="LineNr">361 </span><span class="Delimiter">:(scenario shift_left_by_zero)</span>
<span id="L362" class="LineNr">362 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L363" class="LineNr">363 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-left <span class="Constant">1</span><span class="Delimiter">,</span> <span class="Constant">0</span>
<span id="L364" class="LineNr">364 </span>]
<span id="L365" class="LineNr">365 </span><span class="traceContains">+mem: storing 1 in location 1</span>
<span id="L366" class="LineNr">366 </span>
<span id="L367" class="LineNr">367 </span><span class="Delimiter">:(scenario shift_left_1)</span>
<span id="L368" class="LineNr">368 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L369" class="LineNr">369 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-left <span class="Constant">1</span><span class="Delimiter">,</span> <span class="Constant">4</span>
<span id="L370" class="LineNr">370 </span>]
<span id="L371" class="LineNr">371 </span><span class="traceContains">+mem: storing 16 in location 1</span>
<span id="L372" class="LineNr">372 </span>
<span id="L373" class="LineNr">373 </span><span class="Delimiter">:(scenario shift_left_2)</span>
<span id="L374" class="LineNr">374 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L375" class="LineNr">375 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-left <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">2</span>
<span id="L376" class="LineNr">376 </span>]
<span id="L377" class="LineNr">377 </span><span class="traceContains">+mem: storing 12 in location 1</span>
<span id="L378" class="LineNr">378 </span>
<span id="L379" class="LineNr">379 </span><span class="Delimiter">:(scenario shift_left_by_negative)</span>
<span id="L380" class="LineNr">380 </span><span class="Special">% Hide_errors = true;</span>
<span id="L381" class="LineNr">381 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L382" class="LineNr">382 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-left <span class="Constant">3</span><span class="Delimiter">,</span> -<span class="Constant">1</span>
<span id="L383" class="LineNr">383 </span>]
<span id="L384" class="LineNr">384 </span><span class="traceContains">+error: <a href='000organization.cc.html#L113'>main</a>: second ingredient can't be negative in '1:num &lt;- shift-left 3, -1'</span>
<span id="L385" class="LineNr">385 </span>
<span id="L386" class="LineNr">386 </span><span class="Delimiter">:(scenario shift_left_ignores_fractional_part)</span>
<span id="L387" class="LineNr">387 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L388" class="LineNr">388 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>divide <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">2</span>
<span id="L389" class="LineNr">389 </span>  <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>shift-left <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">1</span>
<span id="L390" class="LineNr">390 </span>]
<span id="L391" class="LineNr">391 </span><span class="traceContains">+mem: storing 2 in location 2</span>
<span id="L392" class="LineNr">392 </span>
<span id="L393" class="LineNr">393 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L394" class="LineNr">394 </span>SHIFT_RIGHT<span class="Delimiter">,</span>
<span id="L395" class="LineNr">395 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L396" class="LineNr">396 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;shift-right&quot;</span><span class="Delimiter">,</span> SHIFT_RIGHT<span class="Delimiter">);</span>
<span id="L397" class="LineNr">397 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L398" class="LineNr">398 </span><span class="Normal">case</span> SHIFT_RIGHT: <span class="Delimiter">{</span>
<span id="L399" class="LineNr">399 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L400" class="LineNr">400 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-right' requires exactly two ingredients, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L401" class="LineNr">401 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L402" class="LineNr">402 </span>  <span class="Delimiter">}</span>
<span id="L403" class="LineNr">403 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> || !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L404" class="LineNr">404 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-right' requires number ingredients, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L405" class="LineNr">405 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L406" class="LineNr">406 </span>  <span class="Delimiter">}</span>
<span id="L407" class="LineNr">407 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L408" class="LineNr">408 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-right' yields one product in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L409" class="LineNr">409 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L410" class="LineNr">410 </span>  <span class="Delimiter">}</span>
<span id="L411" class="LineNr">411 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L412" class="LineNr">412 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-right' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L413" class="LineNr">413 </span>    <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
<span id="L414" class="LineNr">414 </span>  <span class="Delimiter">}</span>
<span id="L415" class="LineNr">415 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L416" class="LineNr">416 </span><span class="Delimiter">}</span>
<span id="L417" class="LineNr">417 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L418" class="LineNr">418 </span><span class="Normal">case</span> SHIFT_RIGHT: <span class="Delimiter">{</span>
<span id="L419" class="LineNr">419 </span>  <span class="Comment">// ingredients must be integers</span>
<span id="L420" class="LineNr">420 </span>  <span class="Normal">int</span> a = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
<span id="L421" class="LineNr">421 </span>  <span class="Normal">int</span> b = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
<span id="L422" class="LineNr">422 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
<span id="L423" class="LineNr">423 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>b &lt; <span class="Constant">0</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L424" class="LineNr">424 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span><a href='026call.cc.html#L87'>current_recipe_name</a><span class="Delimiter">())</span> &lt;&lt; <span class="Constant">&quot;second ingredient can't be negative in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span><a href='026call.cc.html#L89'>current_instruction</a><span class="Delimiter">())</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
<span id="L425" class="LineNr">425 </span>    products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span id="L426" class="LineNr">426 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L427" class="LineNr">427 </span>  <span class="Delimiter">}</span>
<span id="L428" class="LineNr">428 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>a&gt;&gt;b<span class="Delimiter">);</span>
<span id="L429" class="LineNr">429 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L430" class="LineNr">430 </span><span class="Delimiter">}</span>
<span id="L431" class="LineNr">431 </span>
<span id="L432" class="LineNr">432 </span><span class="Delimiter">:(scenario shift_right_by_zero)</span>
<span id="L433" class="LineNr">433 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L434" class="LineNr">434 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-right <span class="Constant">1</span><span class="Delimiter">,</span> <span class="Constant">0</span>
<span id="L435" class="LineNr">435 </span>]
<span id="L436" class="LineNr">436 </span><span class="traceContains">+mem: storing 1 in location 1</span>
<span id="L437" class="LineNr">437 </span>
<span id="L438" class="LineNr">438 </span><span class="Delimiter">:(scenario shift_right_1)</span>
<span id="L439" class="LineNr">439 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L440" class="LineNr">440 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-right <span class="Constant">1024</span><span class="Delimiter">,</span> <span class="Constant">1</span>
<span id="L441" class="LineNr">441 </span>]
<span id="L442" class="LineNr">442 </span><span class="traceContains">+mem: storing 512 in location 1</span>
<span id="L443" class="LineNr">443 </span>
<span id="L444" class="LineNr">444 </span><span class="Delimiter">:(scenario shift_right_2)</span>
<span id="L445" class="LineNr">445 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L446" class="LineNr">446 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-right <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">1</span>
<span id="L447" class="LineNr">447 </span>]
<span id="L448" class="LineNr">448 </span><span class="traceContains">+mem: storing 1 in location 1</span>
<span id="L449" class="LineNr">449 </span>
<span id="L450" class="LineNr">450 </span><span class="Delimiter">:(scenario shift_right_by_negative)</span>
<span id="L451" class="LineNr">451 </span><span class="Special">% Hide_errors = true;</span>
<span id="L452" class="LineNr">452 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L453" class="LineNr">453 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-right <span class="Constant">4</span><span class="Delimiter">,</span> -<span class="Constant">1</span>
<span id="L454" class="LineNr">454 </span>]
<span id="L455" class="LineNr">455 </span><span class="traceContains">+error: <a href='000organization.cc.html#L113'>main</a>: second ingredient can't be negative in '1:num &lt;- shift-right 4, -1'</span>
<span id="L456" class="LineNr">456 </span>
<span id="L457" class="LineNr">457 </span><span class="Delimiter">:(scenario shift_right_ignores_fractional_part)</span>
<span id="L458" class="LineNr">458 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L459" class="LineNr">459 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>divide <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">2</span>
<span id="L460" class="LineNr">460 </span>  <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>shift-right <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">1</span>
<span id="L461" class="LineNr">461 </span>]
<span id="L462" class="LineNr">462 </span><span class="traceContains">+mem: storing 0 in location 2</span>
<span id="L463" class="LineNr">463 </span>
<span id="L464" class="LineNr">464 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L465" class="LineNr">465 </span>AND_BITS<span class="Delimiter">,</span>
<span id="L466" class="LineNr">466 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L467" class="LineNr">467 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;and-bits&quot;</span><span class="Delimiter">,</span> AND_BITS<span class="Delimiter">);</span>
<span id="L468" class="LineNr">468 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L469" class="LineNr">469 </span><span class="Normal">case</span> AND_BITS: <span class="Delimiter">{</span>
<span id="L470" class="LineNr">470 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L471" class="LineNr">471 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'and-bits' requires exactly two ingredients, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L472" class="LineNr">472 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L473" class="LineNr">473 </span>  <span class="Delimiter">}</span>
<span id="L474" class="LineNr">474 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> || !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L475" class="LineNr">475 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'and-bits' requires number ingredients, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L476" class="LineNr">476 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L477" class="LineNr">477 </span>  <span class="Delimiter">}</span>
<span id="L478" class="LineNr">478 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L479" class="LineNr">479 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'and-bits' yields one product in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L480" class="LineNr">480 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L481" class="LineNr">481 </span>  <span class="Delimiter">}</span>
<span id="L482" class="LineNr">482 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L483" class="LineNr">483 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'and-bits' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L484" class="LineNr">484 </span>    <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
<span id="L485" class="LineNr">485 </span>  <span class="Delimiter">}</span>
<span id="L486" class="LineNr">486 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L487" class="LineNr">487 </span><span class="Delimiter">}</span>
<span id="L488" class="LineNr">488 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L489" class="LineNr">489 </span><span class="Normal">case</span> AND_BITS: <span class="Delimiter">{</span>
<span id="L490" class="LineNr">490 </span>  <span class="Comment">// ingredients must be integers</span>
<span id="L491" class="LineNr">491 </span>  <span class="Normal">int</span> a = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
<span id="L492" class="LineNr">492 </span>  <span class="Normal">int</span> b = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
<span id="L493" class="LineNr">493 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
<span id="L494" class="LineNr">494 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>a&amp;b<span class="Delimiter">);</span>
<span id="L495" class="LineNr">495 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L496" class="LineNr">496 </span><span class="Delimiter">}</span>
<span id="L497" class="LineNr">497 </span>
<span id="L498" class="LineNr">498 </span><span class="Delimiter">:(scenario and_bits_1)</span>
<span id="L499" class="LineNr">499 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L500" class="LineNr">500 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">and</span>-bits <span class="Constant">8</span><span class="Delimiter">,</span> <span class="Constant">3</span>
<span id="L501" class="LineNr">501 </span>]
<span id="L502" class="LineNr">502 </span><span class="traceContains">+mem: storing 0 in location 1</span>
<span id="L503" class="LineNr">503 </span>
<span id="L504" class="LineNr">504 </span><span class="Delimiter">:(scenario and_bits_2)</span>
<span id="L505" class="LineNr">505 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L506" class="LineNr">506 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">and</span>-bits <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">2</span>
<span id="L507" class="LineNr">507 </span>]
<span id="L508" class="LineNr">508 </span><span class="traceContains">+mem: storing 2 in location 1</span>
<span id="L509" class="LineNr">509 </span>
<span id="L510" class="LineNr">510 </span><span class="Delimiter">:(scenario and_bits_3)</span>
<span id="L511" class="LineNr">511 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L512" class="LineNr">512 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">and</span>-bits <span class="Constant">14</span><span class="Delimiter">,</span> <span class="Constant">3</span>
<span id="L513" class="LineNr">513 </span>]
<span id="L514" class="LineNr">514 </span><span class="traceContains">+mem: storing 2 in location 1</span>
<span id="L515" class="LineNr">515 </span>
<span id="L516" class="LineNr">516 </span><span class="Delimiter">:(scenario and_bits_negative)</span>
<span id="L517" class="LineNr">517 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L518" class="LineNr">518 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">and</span>-bits -<span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">4</span>
<span id="L519" class="LineNr">519 </span>]
<span id="L520" class="LineNr">520 </span><span class="traceContains">+mem: storing 4 in location 1</span>
<span id="L521" class="LineNr">521 </span>
<span id="L522" class="LineNr">522 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L523" class="LineNr">523 </span>OR_BITS<span class="Delimiter">,</span>
<span id="L524" class="LineNr">524 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L525" class="LineNr">525 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;or-bits&quot;</span><span class="Delimiter">,</span> OR_BITS<span class="Delimiter">);</span>
<span id="L526" class="LineNr">526 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L527" class="LineNr">527 </span><span class="Normal">case</span> OR_BITS: <span class="Delimiter">{</span>
<span id="L528" class="LineNr">528 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L529" class="LineNr">529 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'or-bits' requires exactly two ingredients, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L530" class="LineNr">530 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L531" class="LineNr">531 </span>  <span class="Delimiter">}</span>
<span id="L532" class="LineNr">532 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> || !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L533" class="LineNr">533 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'or-bits' requires number ingredients, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L534" class="LineNr">534 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L535" class="LineNr">535 </span>  <span class="Delimiter">}</span>
<span id="L536" class="LineNr">536 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L537" class="LineNr">537 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'or-bits' yields one product in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L538" class="LineNr">538 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L539" class="LineNr">539 </span>  <span class="Delimiter">}</span>
<span id="L540" class="LineNr">540 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L541" class="LineNr">541 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'or-bits' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L542" class="LineNr">542 </span>    <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
<span id="L543" class="LineNr">543 </span>  <span class="Delimiter">}</span>
<span id="L544" class="LineNr">544 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L545" class="LineNr">545 </span><span class="Delimiter">}</span>
<span id="L546" class="LineNr">546 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L547" class="LineNr">547 </span><span class="Normal">case</span> OR_BITS: <span class="Delimiter">{</span>
<span id="L548" class="LineNr">548 </span>  <span class="Comment">// ingredients must be integers</span>
<span id="L549" class="LineNr">549 </span>  <span class="Normal">int</span> a = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
<span id="L550" class="LineNr">550 </span>  <span class="Normal">int</span> b = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
<span id="L551" class="LineNr">551 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
<span id="L552" class="LineNr">552 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>a|b<span class="Delimiter">);</span>
<span id="L553" class="LineNr">553 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L554" class="LineNr">554 </span><span class="Delimiter">}</span>
<span id="L555" class="LineNr">555 </span>
<span id="L556" class="LineNr">556 </span><span class="Delimiter">:(scenario or_bits_1)</span>
<span id="L557" class="LineNr">557 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L558" class="LineNr">558 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">or</span>-bits <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">8</span>
<span id="L559" class="LineNr">559 </span>]
<span id="L560" class="LineNr">560 </span><span class="traceContains">+mem: storing 11 in location 1</span>
<span id="L561" class="LineNr">561 </span>
<span id="L562" class="LineNr">562 </span><span class="Delimiter">:(scenario or_bits_2)</span>
<span id="L563" class="LineNr">563 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L564" class="LineNr">564 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">or</span>-bits <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">10</span>
<span id="L565" class="LineNr">565 </span>]
<span id="L566" class="LineNr">566 </span><span class="traceContains">+mem: storing 11 in location 1</span>
<span id="L567" class="LineNr">567 </span>
<span id="L568" class="LineNr">568 </span><span class="Delimiter">:(scenario or_bits_3)</span>
<span id="L569" class="LineNr">569 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L570" class="LineNr">570 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">or</span>-bits <span class="Constant">4</span><span class="Delimiter">,</span> <span class="Constant">6</span>
<span id="L571" class="LineNr">571 </span>]
<span id="L572" class="LineNr">572 </span><span class="traceContains">+mem: storing 6 in location 1</span>
<span id="L573" class="LineNr">573 </span>
<span id="L574" class="LineNr">574 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L575" class="LineNr">575 </span>XOR_BITS<span class="Delimiter">,</span>
<span id="L576" class="LineNr">576 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L577" class="LineNr">577 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;xor-bits&quot;</span><span class="Delimiter">,</span> XOR_BITS<span class="Delimiter">);</span>
<span id="L578" class="LineNr">578 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L579" class="LineNr">579 </span><span class="Normal">case</span> XOR_BITS: <span class="Delimiter">{</span>
<span id="L580" class="LineNr">580 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L581" class="LineNr">581 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'xor-bits' requires exactly two ingredients, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L582" class="LineNr">582 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L583" class="LineNr">583 </span>  <span class="Delimiter">}</span>
<span id="L584" class="LineNr">584 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> || !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L585" class="LineNr">585 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'xor-bits' requires number ingredients, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L586" class="LineNr">586 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L587" class="LineNr">587 </span>  <span class="Delimiter">}</span>
<span id="L588" class="LineNr">588 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L589" class="LineNr">589 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'xor-bits' yields one product in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L590" class="LineNr">590 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L591" class="LineNr">591 </span>  <span class="Delimiter">}</span>
<span id="L592" class="LineNr">592 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L593" class="LineNr">593 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'xor-bits' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L594" class="LineNr">594 </span>    <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
<span id="L595" class="LineNr">595 </span>  <span class="Delimiter">}</span>
<span id="L596" class="LineNr">596 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L597" class="LineNr">597 </span><span class="Delimiter">}</span>
<span id="L598" class="LineNr">598 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L599" class="LineNr">599 </span><span class="Normal">case</span> XOR_BITS: <span class="Delimiter">{</span>
<span id="L600" class="LineNr">600 </span>  <span class="Comment">// ingredients must be integers</span>
<span id="L601" class="LineNr">601 </span>  <span class="Normal">int</span> a = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
<span id="L602" class="LineNr">602 </span>  <span class="Normal">int</span> b = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
<span id="L603" class="LineNr">603 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
<span id="L604" class="LineNr">604 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>a^b<span class="Delimiter">);</span>
<span id="L605" class="LineNr">605 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L606" class="LineNr">606 </span><span class="Delimiter">}</span>
<span id="L607" class="LineNr">607 </span>
<span id="L608" class="LineNr">608 </span><span class="Delimiter">:(scenario xor_bits_1)</span>
<span id="L609" class="LineNr">609 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L610" class="LineNr">610 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">xor</span>-bits <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">8</span>
<span id="L611" class="LineNr">611 </span>]
<span id="L612" class="LineNr">612 </span><span class="traceContains">+mem: storing 11 in location 1</span>
<span id="L613" class="LineNr">613 </span>
<span id="L614" class="LineNr">614 </span><span class="Delimiter">:(scenario xor_bits_2)</span>
<span id="L615" class="LineNr">615 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L616" class="LineNr">616 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">xor</span>-bits <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">10</span>
<span id="L617" class="LineNr">617 </span>]
<span id="L618" class="LineNr">618 </span><span class="traceContains">+mem: storing 9 in location 1</span>
<span id="L619" class="LineNr">619 </span>
<span id="L620" class="LineNr">620 </span><span class="Delimiter">:(scenario xor_bits_3)</span>
<span id="L621" class="LineNr">621 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L622" class="LineNr">622 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">xor</span>-bits <span class="Constant">4</span><span class="Delimiter">,</span> <span class="Constant">6</span>
<span id="L623" class="LineNr">623 </span>]
<span id="L624" class="LineNr">624 </span><span class="traceContains">+mem: storing 2 in location 1</span>
<span id="L625" class="LineNr">625 </span>
<span id="L626" class="LineNr">626 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L627" class="LineNr">627 </span>FLIP_BITS<span class="Delimiter">,</span>
<span id="L628" class="LineNr">628 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L629" class="LineNr">629 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;flip-bits&quot;</span><span class="Delimiter">,</span> FLIP_BITS<span class="Delimiter">);</span>
<span id="L630" class="LineNr">630 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L631" class="LineNr">631 </span><span class="Normal">case</span> FLIP_BITS: <span class="Delimiter">{</span>
<span id="L632" class="LineNr">632 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L633" class="LineNr">633 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'flip-bits' requires exactly one ingredient, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L634" class="LineNr">634 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L635" class="LineNr">635 </span>  <span class="Delimiter">}</span>
<span id="L636" class="LineNr">636 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L637" class="LineNr">637 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'flip-bits' requires a number ingredient, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L638" class="LineNr">638 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L639" class="LineNr">639 </span>  <span class="Delimiter">}</span>
<span id="L640" class="LineNr">640 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L641" class="LineNr">641 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'flip-bits' yields one product in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L642" class="LineNr">642 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L643" class="LineNr">643 </span>  <span class="Delimiter">}</span>
<span id="L644" class="LineNr">644 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L645" class="LineNr">645 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'flip-bits' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L646" class="LineNr">646 </span>    <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
<span id="L647" class="LineNr">647 </span>  <span class="Delimiter">}</span>
<span id="L648" class="LineNr">648 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L649" class="LineNr">649 </span><span class="Delimiter">}</span>
<span id="L650" class="LineNr">650 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L651" class="LineNr">651 </span><span class="Normal">case</span> FLIP_BITS: <span class="Delimiter">{</span>
<span id="L652" class="LineNr">652 </span>  <span class="Comment">// ingredient must be integer</span>
<span id="L653" class="LineNr">653 </span>  <span class="Normal">int</span> a = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
<span id="L654" class="LineNr">654 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
<span id="L655" class="LineNr">655 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>~a<span class="Delimiter">);</span>
<span id="L656" class="LineNr">656 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L657" class="LineNr">657 </span><span class="Delimiter">}</span>
<span id="L658" class="LineNr">658 </span>
<span id="L659" class="LineNr">659 </span><span class="Delimiter">:(scenario flip_bits_zero)</span>
<span id="L660" class="LineNr">660 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L661" class="LineNr">661 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>flip-bits <span class="Constant">0</span>
<span id="L662" class="LineNr">662 </span>]
<span id="L663" class="LineNr">663 </span><span class="traceContains">+mem: storing -1 in location 1</span>
<span id="L664" class="LineNr">664 </span>
<span id="L665" class="LineNr">665 </span><span class="Delimiter">:(scenario flip_bits_negative)</span>
<span id="L666" class="LineNr">666 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L667" class="LineNr">667 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>flip-bits -<span class="Constant">1</span>
<span id="L668" class="LineNr">668 </span>]
<span id="L669" class="LineNr">669 </span><span class="traceContains">+mem: storing 0 in location 1</span>
<span id="L670" class="LineNr">670 </span>
<span id="L671" class="LineNr">671 </span><span class="Delimiter">:(scenario flip_bits_1)</span>
<span id="L672" class="LineNr">672 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L673" class="LineNr">673 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>flip-bits <span class="Constant">3</span>
<span id="L674" class="LineNr">674 </span>]
<span id="L675" class="LineNr">675 </span><span class="traceContains">+mem: storing -4 in location 1</span>
<span id="L676" class="LineNr">676 </span>
<span id="L677" class="LineNr">677 </span><span class="Delimiter">:(scenario flip_bits_2)</span>
<span id="L678" class="LineNr">678 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L679" class="LineNr">679 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>flip-bits <span class="Constant">12</span>
<span id="L680" class="LineNr">680 </span>]
<span id="L681" class="LineNr">681 </span><span class="traceContains">+mem: storing -13 in location 1</span>
<span id="L682" class="LineNr">682 </span>
<span id="L683" class="LineNr">683 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L684" class="LineNr">684 </span>ROUND<span class="Delimiter">,</span>
<span id="L685" class="LineNr">685 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L686" class="LineNr">686 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;round&quot;</span><span class="Delimiter">,</span> ROUND<span class="Delimiter">);</span>
<span id="L687" class="LineNr">687 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L688" class="LineNr">688 </span><span class="Normal">case</span> ROUND: <span class="Delimiter">{</span>
<span id="L689" class="LineNr">689 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L690" class="LineNr">690 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'round' requires exactly one ingredient, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L691" class="LineNr">691 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L692" class="LineNr">692 </span>  <span class="Delimiter">}</span>
<span id="L693" class="LineNr">693 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L694" class="LineNr">694 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;first ingredient of 'round' should be a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L695" class="LineNr">695 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L696" class="LineNr">696 </span>  <span class="Delimiter">}</span>
<span id="L697" class="LineNr">697 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L698" class="LineNr">698 </span><span class="Delimiter">}</span>
<span id="L699" class="LineNr">699 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L700" class="LineNr">700 </span><span class="Normal">case</span> ROUND: <span class="Delimiter">{</span>
<span id="L701" class="LineNr">701 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
<span id="L702" class="LineNr">702 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>rint<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)));</span>
<span id="L703" class="LineNr">703 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L704" class="LineNr">704 </span><span class="Delimiter">}</span>
<span id="L705" class="LineNr">705 </span>
<span id="L706" class="LineNr">706 </span><span class="Delimiter">:(scenario round_to_nearest_integer)</span>
<span id="L707" class="LineNr">707 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L708" class="LineNr">708 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>round <span class="Constant">12.2</span>
<span id="L709" class="LineNr">709 </span>]
<span id="L710" class="LineNr">710 </span><span class="traceContains">+mem: storing 12 in location 1</span>
<span id="L711" class="LineNr">711 </span>
<span id="L712" class="LineNr">712 </span><span class="Delimiter">:(scenario round_halves_toward_zero)</span>
<span id="L713" class="LineNr">713 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L714" class="LineNr">714 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>round <span class="Constant">12.5</span>
<span id="L715" class="LineNr">715 </span>]
<span id="L716" class="LineNr">716 </span><span class="traceContains">+mem: storing 12 in location 1</span>
<span id="L717" class="LineNr">717 </span>
<span id="L718" class="LineNr">718 </span><span class="Delimiter">:(scenario round_halves_toward_zero_2)</span>
<span id="L719" class="LineNr">719 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L720" class="LineNr">720 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>round -<span class="Constant">12.5</span>
<span id="L721" class="LineNr">721 </span>]
<span id="L722" class="LineNr">722 </span><span class="traceContains">+mem: storing -12 in location 1</span>
<span id="L723" class="LineNr">723 </span>
<span id="L724" class="LineNr">724 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L725" class="LineNr">725 </span>TRUNCATE<span class="Delimiter">,</span>
<span id="L726" class="LineNr">726 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L727" class="LineNr">727 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;truncate&quot;</span><span class="Delimiter">,</span> TRUNCATE<span class="Delimiter">);</span>
<span id="L728" class="LineNr">728 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L729" class="LineNr">729 </span><span class="Normal">case</span> TRUNCATE: <span class="Delimiter">{</span>
<span id="L730" class="LineNr">730 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L731" class="LineNr">731 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'truncate' requires exactly one ingredient, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L732" class="LineNr">732 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L733" class="LineNr">733 </span>  <span class="Delimiter">}</span>
<span id="L734" class="LineNr">734 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L735" class="LineNr">735 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;first ingredient of 'truncate' should be a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L736" class="LineNr">736 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L737" class="LineNr">737 </span>  <span class="Delimiter">}</span>
<span id="L738" class="LineNr">738 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L739" class="LineNr">739 </span><span class="Delimiter">}</span>
<span id="L740" class="LineNr">740 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L741" class="LineNr">741 </span><span class="Normal">case</span> TRUNCATE: <span class="Delimiter">{</span>
<span id="L742" class="LineNr">742 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
<span id="L743" class="LineNr">743 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>trunc<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)));</span>
<span id="L744" class="LineNr">744 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L745" class="LineNr">745 </span><span class="Delimiter">}</span>
<span id="L746" class="LineNr">746 </span>
<span id="L747" class="LineNr">747 </span><span class="Delimiter">:(scenario truncate_to_nearest_integer)</span>
<span id="L748" class="LineNr">748 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L749" class="LineNr">749 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><a href='101run_sandboxed.cc.html#L543'>truncate</a> <span class="Constant">12.2</span>
<span id="L750" class="LineNr">750 </span>]
<span id="L751" class="LineNr">751 </span><span class="traceContains">+mem: storing 12 in location 1</span>
<span id="L752" class="LineNr">752 </span>
<span id="L753" class="LineNr">753 </span><span class="Delimiter">:(scenario truncate_negative)</span>
<span id="L754" class="LineNr">754 </span><span class="muRecipe">def</span> <a href='000organization.cc.html#L113'>main</a> [
<span id="L755" class="LineNr">755 </span>  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><a href='101run_sandboxed.cc.html#L543'>truncate</a> -<span class="Constant">12.2</span>
<span id="L756" class="LineNr">756 </span>]
<span id="L757" class="LineNr">757 </span><span class="traceContains">+mem: storing -12 in location 1</span>
<span id="L758" class="LineNr">758 </span>
<span id="L759" class="LineNr">759 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L760" class="LineNr">760 </span>SQUARE_ROOT<span class="Delimiter">,</span>
<span id="L761" class="LineNr">761 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L762" class="LineNr">762 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;square-root&quot;</span><span class="Delimiter">,</span> SQUARE_ROOT<span class="Delimiter">);</span>
<span id="L763" class="LineNr">763 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L764" class="LineNr">764 </span><span class="Normal">case</span> SQUARE_ROOT: <span class="Delimiter">{</span>
<span id="L765" class="LineNr">765 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L766" class="LineNr">766 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'square-root' requires exactly one ingredient, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L767" class="LineNr">767 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L768" class="LineNr">768 </span>  <span class="Delimiter">}</span>
<span id="L769" class="LineNr">769 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L770" class="LineNr">770 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;first ingredient of 'square-root' should be a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L771" class="LineNr">771 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L772" class="LineNr">772 </span>  <span class="Delimiter">}</span>
<span id="L773" class="LineNr">773 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L774" class="LineNr">774 </span><span class="Delimiter">}</span>
<span id="L775" class="LineNr">775 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L776" class="LineNr">776 </span><span class="Normal">case</span> SQUARE_ROOT: <span class="Delimiter">{</span>
<span id="L777" class="LineNr">777 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
<span id="L778" class="LineNr">778 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>sqrt<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)));</span>
<span id="L779" class="LineNr">779 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L780" class="LineNr">780 </span><span class="Delimiter">}</span>
<span id="L781" class="LineNr">781 </span>
<span id="L782" class="LineNr">782 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
<span id="L783" class="LineNr">783 </span>CHARACTER_TO_CODE<span class="Delimiter">,</span>
<span id="L784" class="LineNr">784 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
<span id="L785" class="LineNr">785 </span><a href='001help.cc.html#L221'>put</a><span class="Delimiter">(</span><span class="Special">Recipe_ordinal</span><span class="Delimiter">,</span> <span class="Constant">&quot;character-to-code&quot;</span><span class="Delimiter">,</span> CHARACTER_TO_CODE<span class="Delimiter">);</span>
<span id="L786" class="LineNr">786 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span id="L787" class="LineNr">787 </span><span class="Normal">case</span> CHARACTER_TO_CODE: <span class="Delimiter">{</span>
<span id="L788" class="LineNr">788 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L789" class="LineNr">789 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'character-to-code' requires exactly one ingredient, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L790" class="LineNr">790 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L791" class="LineNr">791 </span>  <span class="Delimiter">}</span>
<span id="L792" class="LineNr">792 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_character<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L793" class="LineNr">793 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;first ingredient of 'character-to-code' should be a character, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L794" class="LineNr">794 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L795" class="LineNr">795 </span>  <span class="Delimiter">}</span>
<span id="L796" class="LineNr">796 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span><a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> != <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L797" class="LineNr">797 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'character-to-code' requires exactly one product, but got '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>inst<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L798" class="LineNr">798 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L799" class="LineNr">799 </span>  <span class="Delimiter">}</span>
<span id="L800" class="LineNr">800 </span>  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
<span id="L801" class="LineNr">801 </span>    <a href='003trace.cc.html#L196'>raise</a> &lt;&lt; <a href='013update_operation.cc.html#L25'>maybe</a><span class="Delimiter">(</span>get<span class="Delimiter">(</span><span class="Special">Recipe</span><span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;first product of 'character-to-code' should be a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'\n&quot;</span> &lt;&lt; <a href='003trace.cc.html#L225'>end</a><span class="Delimiter">();</span>
<span id="L802" class="LineNr">802 </span>    <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L803" class="LineNr">803 </span>  <span class="Delimiter">}</span>
<span id="L804" class="LineNr">804 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L805" class="LineNr">805 </span><span class="Delimiter">}</span>
<span id="L806" class="LineNr">806 </span><span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span id="L807" class="LineNr">807 </span><span class="Normal">case</span> CHARACTER_TO_CODE: <span class="Delimiter">{</span>
<span id="L808" class="LineNr">808 </span>  <span class="Normal">double</span> result = <span class="Constant">0</span><span class="Delimiter">;</span>
<span id="L809" class="LineNr">809 </span>  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; <a href='001help.cc.html#L141'>SIZE</a><span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span id="L810" class="LineNr">810 </span>    result += ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span id="L811" class="LineNr">811 </span>  <span class="Delimiter">}</span>
<span id="L812" class="LineNr">812 </span>  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
<span id="L813" class="LineNr">813 </span>  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
<span id="L814" class="LineNr">814 </span>  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span id="L815" class="LineNr">815 </span><span class="Delimiter">}</span>
<span id="L816" class="LineNr">816 </span>
<span id="L817" class="LineNr">817 </span><span class="Delimiter">:(before &quot;End Includes&quot;)</span>
<span id="L818" class="LineNr">818 </span><span class="Comment">#include &lt;math.h&gt;</span>
</pre>
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