about summary refs log tree commit diff stats
path: root/html/022arithmetic.cc.html
diff options
context:
space:
mode:
authorKartik K. Agaram <vc@akkartik.com>2015-11-10 21:35:42 -0800
committerKartik K. Agaram <vc@akkartik.com>2015-11-10 21:43:45 -0800
commit76755b2836b0dadd88f82635f661f9d9df77604d (patch)
treef4f4429510c739fd1f9e51edd10e03c27107acba /html/022arithmetic.cc.html
parent080e9cb73fa55cdc862f1dd7593df56e0a6302b8 (diff)
downloadmu-76755b2836b0dadd88f82635f661f9d9df77604d.tar.gz
2423 - describe shape-shifting in html docs
Diffstat (limited to 'html/022arithmetic.cc.html')
-rw-r--r--html/022arithmetic.cc.html353
1 files changed, 353 insertions, 0 deletions
diff --git a/html/022arithmetic.cc.html b/html/022arithmetic.cc.html
new file mode 100644
index 00000000..0a353d6d
--- /dev/null
+++ b/html/022arithmetic.cc.html
@@ -0,0 +1,353 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd">
+<html>
+<head>
+<meta http-equiv="content-type" content="text/html; charset=UTF-8">
+<title>Mu - 022arithmetic.cc</title>
+<meta name="Generator" content="Vim/7.4">
+<meta name="plugin-version" content="vim7.4_v1">
+<meta name="syntax" content="cpp">
+<meta name="settings" content="use_css,pre_wrap,no_foldcolumn,expand_tabs,prevent_copy=">
+<meta name="colorscheme" content="minimal">
+<style type="text/css">
+<!--
+pre { white-space: pre-wrap; font-family: monospace; color: #eeeeee; background-color: #080808; }
+body { font-family: monospace; color: #eeeeee; background-color: #080808; }
+* { font-size: 1.05em; }
+.traceContains { color: #008000; }
+.cSpecial { color: #008000; }
+.Comment { color: #9090ff; }
+.Delimiter { color: #a04060; }
+.Special { color: #ff6060; }
+.Identifier { color: #804000; }
+.Constant { color: #00a0a0; }
+-->
+</style>
+
+<script type='text/javascript'>
+<!--
+
+-->
+</script>
+</head>
+<body>
+<pre id='vimCodeElement'>
+<span class="Comment">//: Arithmetic primitives</span>
+
+<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
+ADD<span class="Delimiter">,</span>
+<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
+put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;add&quot;</span><span class="Delimiter">,</span> ADD<span class="Delimiter">);</span>
+<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
+case ADD: <span class="Delimiter">{</span>
+  <span class="Comment">// primary goal of these checks is to forbid address arithmetic</span>
+  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    if <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>
+      raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
+      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
+    <span class="Delimiter">}</span>
+  <span class="Delimiter">}</span>
+  if <span class="Delimiter">(</span>SIZE<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>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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; inst<span class="Delimiter">.</span>to_string<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">break</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  if <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>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">break</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  <span class="Identifier">break</span><span class="Delimiter">;</span>
+<span class="Delimiter">}</span>
+<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
+case ADD: <span class="Delimiter">{</span>
+  double result = <span class="Constant">0</span><span class="Delimiter">;</span>
+  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</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 class="Delimiter">}</span>
+  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</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 class="Identifier">break</span><span class="Delimiter">;</span>
+<span class="Delimiter">}</span>
+
+<span class="Delimiter">:(scenario add_literal)</span>
+recipe main [
+  <span class="Constant">1</span>:number<span class="Special"> &lt;- </span>add <span class="Constant">23</span><span class="Delimiter">,</span> <span class="Constant">34</span>
+]
+<span class="traceContains">+mem: storing 57 in location 1</span>
+
+<span class="Delimiter">:(scenario add)</span>
+recipe main [
+  <span class="Constant">1</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">23</span>
+  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">34</span>
+  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>add <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
+]
+<span class="traceContains">+mem: storing 57 in location 3</span>
+
+<span class="Delimiter">:(scenario add_multiple)</span>
+recipe main [
+  <span class="Constant">1</span>:number<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 class="traceContains">+mem: storing 12 in location 1</span>
+
+<span class="Delimiter">:(scenario add_checks_type)</span>
+<span class="Special">% Hide_errors = true;</span>
+recipe main [
+  <span class="Constant">1</span>:number<span class="Special"> &lt;- </span>add <span class="Constant">2</span>:boolean<span class="Delimiter">,</span> <span class="Constant">1</span>
+]
+<span class="traceContains">+error: main: 'add' requires number ingredients, but got 2:boolean</span>
+
+<span class="Delimiter">:(scenario add_checks_return_type)</span>
+<span class="Special">% Hide_errors = true;</span>
+recipe main [
+  <span class="Constant">1</span>:address:number<span class="Special"> &lt;- </span>add <span class="Constant">2</span><span class="Delimiter">,</span> <span class="Constant">2</span>
+]
+<span class="traceContains">+error: main: 'add' should yield a number, but got 1:address:number</span>
+
+<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
+SUBTRACT<span class="Delimiter">,</span>
+<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
+put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;subtract&quot;</span><span class="Delimiter">,</span> SUBTRACT<span class="Delimiter">);</span>
+<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
+case SUBTRACT: <span class="Delimiter">{</span>
+  if <span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>empty<span class="Delimiter">())</span> <span class="Delimiter">{</span>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'subtract' has no ingredients</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">break</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    if <span class="Delimiter">(</span>is_raw<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="Identifier">continue</span><span class="Delimiter">;</span>  <span class="Comment">// permit address offset computations in tests</span>
+    if <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>
+      raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
+      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
+    <span class="Delimiter">}</span>
+  <span class="Delimiter">}</span>
+  if <span class="Delimiter">(</span>SIZE<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>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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; inst<span class="Delimiter">.</span>to_string<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">break</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  if <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>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">break</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  <span class="Identifier">break</span><span class="Delimiter">;</span>
+<span class="Delimiter">}</span>
+<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
+case SUBTRACT: <span class="Delimiter">{</span>
+  double 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>
+  for <span class="Delimiter">(</span>long long int i = <span class="Constant">1</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</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>
+  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</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 class="Identifier">break</span><span class="Delimiter">;</span>
+<span class="Delimiter">}</span>
+
+<span class="Delimiter">:(scenario subtract_literal)</span>
+recipe main [
+  <span class="Constant">1</span>:number<span class="Special"> &lt;- </span>subtract <span class="Constant">5</span><span class="Delimiter">,</span> <span class="Constant">2</span>
+]
+<span class="traceContains">+mem: storing 3 in location 1</span>
+
+<span class="Delimiter">:(scenario subtract)</span>
+recipe main [
+  <span class="Constant">1</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">23</span>
+  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">34</span>
+  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>subtract <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
+]
+<span class="traceContains">+mem: storing -11 in location 3</span>
+
+<span class="Delimiter">:(scenario subtract_multiple)</span>
+recipe main [
+  <span class="Constant">1</span>:number<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 class="traceContains">+mem: storing 1 in location 1</span>
+
+<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
+MULTIPLY<span class="Delimiter">,</span>
+<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
+put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;multiply&quot;</span><span class="Delimiter">,</span> MULTIPLY<span class="Delimiter">);</span>
+<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
+case MULTIPLY: <span class="Delimiter">{</span>
+  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    if <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>
+      raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
+      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
+    <span class="Delimiter">}</span>
+  <span class="Delimiter">}</span>
+  if <span class="Delimiter">(</span>SIZE<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>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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; inst<span class="Delimiter">.</span>to_string<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">break</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  if <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>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">break</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  <span class="Identifier">break</span><span class="Delimiter">;</span>
+<span class="Delimiter">}</span>
+<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
+case MULTIPLY: <span class="Delimiter">{</span>
+  double result = <span class="Constant">1</span><span class="Delimiter">;</span>
+  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</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 class="Delimiter">}</span>
+  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</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 class="Identifier">break</span><span class="Delimiter">;</span>
+<span class="Delimiter">}</span>
+
+<span class="Delimiter">:(scenario multiply_literal)</span>
+recipe main [
+  <span class="Constant">1</span>:number<span class="Special"> &lt;- </span>multiply <span class="Constant">2</span><span class="Delimiter">,</span> <span class="Constant">3</span>
+]
+<span class="traceContains">+mem: storing 6 in location 1</span>
+
+<span class="Delimiter">:(scenario multiply)</span>
+recipe main [
+  <span class="Constant">1</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">4</span>
+  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">6</span>
+  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>multiply <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
+]
+<span class="traceContains">+mem: storing 24 in location 3</span>
+
+<span class="Delimiter">:(scenario multiply_multiple)</span>
+recipe main [
+  <span class="Constant">1</span>:number<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 class="traceContains">+mem: storing 24 in location 1</span>
+
+<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
+DIVIDE<span class="Delimiter">,</span>
+<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
+put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;divide&quot;</span><span class="Delimiter">,</span> DIVIDE<span class="Delimiter">);</span>
+<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
+case DIVIDE: <span class="Delimiter">{</span>
+  if <span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>empty<span class="Delimiter">())</span> <span class="Delimiter">{</span>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide' has no ingredients</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">break</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    if <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>
+      raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
+      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
+    <span class="Delimiter">}</span>
+  <span class="Delimiter">}</span>
+  if <span class="Delimiter">(</span>SIZE<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>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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; inst<span class="Delimiter">.</span>to_string<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">break</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  if <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>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">break</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  <span class="Identifier">break</span><span class="Delimiter">;</span>
+<span class="Delimiter">}</span>
+<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
+case DIVIDE: <span class="Delimiter">{</span>
+  double 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>
+  for <span class="Delimiter">(</span>long long int i = <span class="Constant">1</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</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>
+  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</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 class="Identifier">break</span><span class="Delimiter">;</span>
+<span class="Delimiter">}</span>
+
+<span class="Delimiter">:(scenario divide_literal)</span>
+recipe main [
+  <span class="Constant">1</span>:number<span class="Special"> &lt;- </span>divide <span class="Constant">8</span><span class="Delimiter">,</span> <span class="Constant">2</span>
+]
+<span class="traceContains">+mem: storing 4 in location 1</span>
+
+<span class="Delimiter">:(scenario divide)</span>
+recipe main [
+  <span class="Constant">1</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">27</span>
+  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">3</span>
+  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>divide <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
+]
+<span class="traceContains">+mem: storing 9 in location 3</span>
+
+<span class="Delimiter">:(scenario divide_multiple)</span>
+recipe main [
+  <span class="Constant">1</span>:number<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 class="traceContains">+mem: storing 2 in location 1</span>
+
+<span class="Comment">//: Integer division</span>
+
+<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
+DIVIDE_WITH_REMAINDER<span class="Delimiter">,</span>
+<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
+put<span class="Delimiter">(</span>Recipe_ordinal<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 class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
+case DIVIDE_WITH_REMAINDER: <span class="Delimiter">{</span>
+  if <span class="Delimiter">(</span>SIZE<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>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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; inst<span class="Delimiter">.</span>to_string<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">break</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  if <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>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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; inst<span class="Delimiter">.</span>to_string<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">break</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  if <span class="Delimiter">(</span>SIZE<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>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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; inst<span class="Delimiter">.</span>to_string<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">break</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    if <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>
+      raise_error &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<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="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
+      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
+    <span class="Delimiter">}</span>
+  <span class="Delimiter">}</span>
+  <span class="Identifier">break</span><span class="Delimiter">;</span>
+<span class="Delimiter">}</span>
+<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
+case DIVIDE_WITH_REMAINDER: <span class="Delimiter">{</span>
+  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">2</span><span class="Delimiter">);</span>
+  long long int a = static_cast&lt;long long int&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>
+  long long int b = static_cast&lt;long long int&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>
+  if <span class="Delimiter">(</span>b == <span class="Constant">0</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>current_recipe_name<span class="Delimiter">())</span> &lt;&lt; <span class="Constant">&quot;divide by zero in '&quot;</span> &lt;&lt; current_instruction<span class="Delimiter">().</span>to_string<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">break</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  long long int quotient = a / b<span class="Delimiter">;</span>
+  long long int remainder = a % b<span class="Delimiter">;</span>
+  <span class="Comment">// very large integers will lose precision</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>quotient<span class="Delimiter">);</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>remainder<span class="Delimiter">);</span>
+  <span class="Identifier">break</span><span class="Delimiter">;</span>
+<span class="Delimiter">}</span>
+
+<span class="Delimiter">:(scenario divide_with_remainder_literal)</span>
+recipe main [
+  <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>divide-with-remainder <span class="Constant">9</span><span class="Delimiter">,</span> <span class="Constant">2</span>
+]
+<span class="traceContains">+mem: storing 4 in location 1</span>
+<span class="traceContains">+mem: storing 1 in location 2</span>
+
+<span class="Delimiter">:(scenario divide_with_remainder)</span>
+recipe main [
+  <span class="Constant">1</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">27</span>
+  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">11</span>
+  <span class="Constant">3</span>:number<span class="Delimiter">,</span> <span class="Constant">4</span>:number<span class="Special"> &lt;- </span>divide-with-remainder <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
+]
+<span class="traceContains">+mem: storing 2 in location 3</span>
+<span class="traceContains">+mem: storing 5 in location 4</span>
+
+<span class="Delimiter">:(scenario divide_with_decimal_point)</span>
+recipe main [
+  <span class="Constant">1</span>:number<span class="Special"> &lt;- </span>divide <span class="Constant">5</span><span class="Delimiter">,</span> <span class="Constant">2</span>
+]
+<span class="traceContains">+mem: storing 2.5 in location 1</span>
+
+<span class="Delimiter">:(scenario divide_by_zero)</span>
+recipe main [
+  <span class="Constant">1</span>:number<span class="Special"> &lt;- </span>divide <span class="Constant">4</span><span class="Delimiter">,</span> <span class="Constant">0</span>
+]
+<span class="traceContains">+mem: storing inf in location 1</span>
+
+<span class="Delimiter">:(scenario divide_by_zero_2)</span>
+<span class="Special">% Hide_errors = true;</span>
+recipe main [
+  <span class="Constant">1</span>:number<span class="Special"> &lt;- </span>divide-with-remainder <span class="Constant">4</span><span class="Delimiter">,</span> <span class="Constant">0</span>
+]
+<span class="Comment"># integer division can't return floating-point infinity</span>
+<span class="traceContains">+error: main: divide by zero in '1:number &lt;- divide-with-remainder 4, 0'</span>
+</pre>
+</body>
+</html>
+<!-- vim: set foldmethod=manual : -->