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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/059shape_shifting_recipe.cc.html
parent080e9cb73fa55cdc862f1dd7593df56e0a6302b8 (diff)
downloadmu-76755b2836b0dadd88f82635f661f9d9df77604d.tar.gz
2423 - describe shape-shifting in html docs
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+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd">
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+<title>Mu - 059shape_shifting_recipe.cc</title>
+<meta name="Generator" content="Vim/7.4">
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+.traceContains { color: #008000; }
+.Special { color: #ff6060; }
+.cSpecial { color: #008000; }
+.Comment { color: #9090ff; }
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+<body>
+<pre id='vimCodeElement'>
+<span class="SalientComment">//:: Like container definitions, recipes too can contain type parameters.</span>
+
+<span class="Delimiter">:(scenario shape_shifting_recipe)</span>
+recipe main [
+  <span class="Constant">10</span>:point<span class="Special"> &lt;- </span>merge <span class="Constant">14</span><span class="Delimiter">,</span> <span class="Constant">15</span>
+  <span class="Constant">11</span>:point<span class="Special"> &lt;- </span>foo <span class="Constant">10</span>:point
+]
+<span class="Comment"># non-matching variant</span>
+recipe foo a:number <span class="Delimiter">-&gt;</span> result:number [
+  local-scope
+  load-ingredients
+  result<span class="Special"> &lt;- </span>copy <span class="Constant">34</span>
+]
+<span class="Comment"># matching shape-shifting variant</span>
+recipe foo a:_t <span class="Delimiter">-&gt;</span> result:_t [
+  local-scope
+  load-ingredients
+  result<span class="Special"> &lt;- </span>copy a
+]
+<span class="traceContains">+mem: storing 14 in location 11</span>
+<span class="traceContains">+mem: storing 15 in location 12</span>
+
+<span class="Comment">//: Before anything else, disable transforms for shape-shifting recipes.</span>
+
+<span class="Delimiter">:(before &quot;End Transform Checks&quot;)</span>
+if <span class="Delimiter">(</span>any_type_ingredient_in_header<span class="Delimiter">(</span><span class="Comment">/*</span><span class="Comment">recipe_ordinal</span><span class="Comment">*/</span>p<span class="Delimiter">-&gt;</span>first<span class="Delimiter">))</span> <span class="Identifier">continue</span><span class="Delimiter">;</span>
+
+<span class="Comment">//: We'll be creating recipes without loading them from anywhere by</span>
+<span class="Comment">//: *specializing* existing recipes, so make sure we don't clear any of those</span>
+<span class="Comment">//: when we start running tests.</span>
+<span class="Delimiter">:(before &quot;End Loading .mu Files&quot;)</span>
+recently_added_recipes<span class="Delimiter">.</span>clear<span class="Delimiter">();</span>
+recently_added_types<span class="Delimiter">.</span>clear<span class="Delimiter">();</span>
+
+<span class="Delimiter">:(before &quot;End Instruction Dispatch(inst, best_score)&quot;)</span>
+if <span class="Delimiter">(</span>best_score == -<span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  trace<span class="Delimiter">(</span><span class="Constant">9992</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;no variant found; searching for variant with suitable type ingredients&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+  recipe_ordinal exemplar = pick_matching_shape_shifting_variant<span class="Delimiter">(</span>variants<span class="Delimiter">,</span> inst<span class="Delimiter">,</span> best_score<span class="Delimiter">);</span>
+  if <span class="Delimiter">(</span>exemplar<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    trace<span class="Delimiter">(</span><span class="Constant">9992</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;found variant to specialize: &quot;</span> &lt;&lt; exemplar &lt;&lt; <span class="Constant">' '</span> &lt;&lt; get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> exemplar<span class="Delimiter">).</span>name &lt;&lt; end<span class="Delimiter">();</span>
+    variants<span class="Delimiter">.</span>push_back<span class="Delimiter">(</span>new_variant<span class="Delimiter">(</span>exemplar<span class="Delimiter">,</span> inst<span class="Delimiter">,</span> caller_recipe<span class="Delimiter">));</span>
+    inst<span class="Delimiter">.</span>name = get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variants<span class="Delimiter">.</span>back<span class="Delimiter">()).</span>name<span class="Delimiter">;</span>
+    trace<span class="Delimiter">(</span><span class="Constant">9992</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;new specialization: &quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>name &lt;&lt; end<span class="Delimiter">();</span>
+  <span class="Delimiter">}</span>
+<span class="Delimiter">}</span>
+
+<span class="Delimiter">:(code)</span>
+recipe_ordinal pick_matching_shape_shifting_variant<span class="Delimiter">(</span>vector&lt;recipe_ordinal&gt;&amp; variants<span class="Delimiter">,</span> const instruction&amp; inst<span class="Delimiter">,</span> long long int&amp; best_score<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  recipe_ordinal 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>variants<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    if <span class="Delimiter">(</span>variants<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)</span> == -<span class="Constant">1</span><span class="Delimiter">)</span> <span class="Identifier">continue</span><span class="Delimiter">;</span>  <span class="Comment">// ghost from a previous test</span>
+    trace<span class="Delimiter">(</span><span class="Constant">9992</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;checking shape-shifting variant &quot;</span> &lt;&lt; i &lt;&lt; end<span class="Delimiter">();</span>
+    long long int current_score = shape_shifting_variant_score<span class="Delimiter">(</span>inst<span class="Delimiter">,</span> variants<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">));</span>
+    trace<span class="Delimiter">(</span><span class="Constant">9992</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;final score: &quot;</span> &lt;&lt; current_score &lt;&lt; end<span class="Delimiter">();</span>
+    if <span class="Delimiter">(</span>current_score &gt; best_score<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+      trace<span class="Delimiter">(</span><span class="Constant">9992</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;matches&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+      result = variants<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
+      best_score = current_score<span class="Delimiter">;</span>
+    <span class="Delimiter">}</span>
+  <span class="Delimiter">}</span>
+  <span class="Identifier">return</span> result<span class="Delimiter">;</span>
+<span class="Delimiter">}</span>
+
+long long int shape_shifting_variant_score<span class="Delimiter">(</span>const instruction&amp; inst<span class="Delimiter">,</span> recipe_ordinal variant<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  if <span class="Delimiter">(</span>!any_type_ingredient_in_header<span class="Delimiter">(</span>variant<span class="Delimiter">))</span> <span class="Delimiter">{</span>
+    trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;no type ingredients&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">return</span> -<span class="Constant">1</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  const vector&lt;reagent&gt;&amp; header_ingredients = get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">).</span>ingredients<span class="Delimiter">;</span>
+  if <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> &lt; SIZE<span class="Delimiter">(</span>header_ingredients<span class="Delimiter">))</span> <span class="Delimiter">{</span>
+    trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;too few ingredients&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">return</span> -<span class="Constant">1</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>header_ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    if <span class="Delimiter">(</span>!non_type_ingredients_match<span class="Delimiter">(</span>header_ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<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>
+      trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;mismatch: ingredient &quot;</span> &lt;&lt; i &lt;&lt; end<span class="Delimiter">();</span>
+      <span class="Identifier">return</span> -<span class="Constant">1</span><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; SIZE<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">).</span>products<span class="Delimiter">))</span> <span class="Delimiter">{</span>
+    trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;too few products&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">return</span> -<span class="Constant">1</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  const vector&lt;reagent&gt;&amp; header_products = get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">).</span>products<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>!non_type_ingredients_match<span class="Delimiter">(</span>header_products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<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>
+      trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;mismatch: product &quot;</span> &lt;&lt; i &lt;&lt; end<span class="Delimiter">();</span>
+      <span class="Identifier">return</span> -<span class="Constant">1</span><span class="Delimiter">;</span>
+    <span class="Delimiter">}</span>
+  <span class="Delimiter">}</span>
+  <span class="Comment">// the greater the number of unused ingredients, the lower the score</span>
+  <span class="Identifier">return</span> <span class="Constant">100</span> - <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">).</span>products<span class="Delimiter">)</span>-SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">))</span>
+             - <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span>-SIZE<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">).</span>ingredients<span class="Delimiter">));</span>  <span class="Comment">// ok to go negative</span>
+<span class="Delimiter">}</span>
+
+bool any_type_ingredient_in_header<span class="Delimiter">(</span>recipe_ordinal variant<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>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">).</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    if <span class="Delimiter">(</span>contains_type_ingredient_name<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">).</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span>
+      <span class="Identifier">return</span> <span class="Constant">true</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>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">).</span>products<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    if <span class="Delimiter">(</span>contains_type_ingredient_name<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">).</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span>
+      <span class="Identifier">return</span> <span class="Constant">true</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  <span class="Identifier">return</span> <span class="Constant">false</span><span class="Delimiter">;</span>
+<span class="Delimiter">}</span>
+
+bool non_type_ingredients_match<span class="Delimiter">(</span>const reagent&amp; lhs<span class="Delimiter">,</span> const reagent&amp; rhs<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  if <span class="Delimiter">(</span>contains_type_ingredient_name<span class="Delimiter">(</span>lhs<span class="Delimiter">))</span> <span class="Identifier">return</span> <span class="Constant">true</span><span class="Delimiter">;</span>
+  <span class="Identifier">return</span> types_match<span class="Delimiter">(</span>lhs<span class="Delimiter">,</span> rhs<span class="Delimiter">);</span>
+<span class="Delimiter">}</span>
+
+bool contains_type_ingredient_name<span class="Delimiter">(</span>const reagent&amp; x<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  <span class="Identifier">return</span> contains_type_ingredient_name<span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">);</span>
+<span class="Delimiter">}</span>
+
+bool contains_type_ingredient_name<span class="Delimiter">(</span>const string_tree* type<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  if <span class="Delimiter">(</span>!type<span class="Delimiter">)</span> <span class="Identifier">return</span> <span class="Constant">false</span><span class="Delimiter">;</span>
+  if <span class="Delimiter">(</span>is_type_ingredient_name<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">))</span> <span class="Identifier">return</span> <span class="Constant">true</span><span class="Delimiter">;</span>
+  <span class="Identifier">return</span> contains_type_ingredient_name<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>left<span class="Delimiter">)</span> || contains_type_ingredient_name<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>right<span class="Delimiter">);</span>
+<span class="Delimiter">}</span>
+
+bool is_type_ingredient_name<span class="Delimiter">(</span>const string&amp; type<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  <span class="Identifier">return</span> !type<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; type<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> == <span class="Constant">'_'</span><span class="Delimiter">;</span>
+<span class="Delimiter">}</span>
+
+recipe_ordinal new_variant<span class="Delimiter">(</span>recipe_ordinal exemplar<span class="Delimiter">,</span> const instruction&amp; inst<span class="Delimiter">,</span> const recipe&amp; caller_recipe<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  string new_name = next_unused_recipe_name<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>name<span class="Delimiter">);</span>
+  trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;switching &quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>name &lt;&lt; <span class="Constant">&quot; to &quot;</span> &lt;&lt; new_name &lt;&lt; end<span class="Delimiter">();</span>
+  assert<span class="Delimiter">(</span>!contains_key<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> new_name<span class="Delimiter">));</span>
+  recipe_ordinal new_recipe_ordinal = put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> new_name<span class="Delimiter">,</span> Next_recipe_ordinal++<span class="Delimiter">);</span>
+  <span class="Comment">// make a copy</span>
+  assert<span class="Delimiter">(</span>contains_key<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> exemplar<span class="Delimiter">));</span>
+  assert<span class="Delimiter">(</span>!contains_key<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> new_recipe_ordinal<span class="Delimiter">));</span>
+  recently_added_recipes<span class="Delimiter">.</span>push_back<span class="Delimiter">(</span>new_recipe_ordinal<span class="Delimiter">);</span>
+  put<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> new_recipe_ordinal<span class="Delimiter">,</span> get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> exemplar<span class="Delimiter">));</span>
+  recipe&amp; new_recipe = get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> new_recipe_ordinal<span class="Delimiter">);</span>
+  new_recipe<span class="Delimiter">.</span>name = new_name<span class="Delimiter">;</span>
+  <span class="Comment">// Since the exemplar never ran any transforms, we have to redo some of the</span>
+  <span class="Comment">// work of the check_types_by_name transform while supporting type-ingredients.</span>
+  compute_type_names<span class="Delimiter">(</span>new_recipe<span class="Delimiter">);</span>
+  <span class="Comment">// that gives enough information to replace type-ingredients with concrete types</span>
+  <span class="Delimiter">{</span>
+    map&lt;string<span class="Delimiter">,</span> const string_tree*&gt; mappings<span class="Delimiter">;</span>
+    bool error = <span class="Constant">false</span><span class="Delimiter">;</span>
+    compute_type_ingredient_mappings<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> exemplar<span class="Delimiter">),</span> inst<span class="Delimiter">,</span> mappings<span class="Delimiter">,</span> caller_recipe<span class="Delimiter">,</span> &amp;error<span class="Delimiter">);</span>
+    if <span class="Delimiter">(</span>!error<span class="Delimiter">)</span> replace_type_ingredients<span class="Delimiter">(</span>new_recipe<span class="Delimiter">,</span> mappings<span class="Delimiter">);</span>
+    for <span class="Delimiter">(</span>map&lt;string<span class="Delimiter">,</span> const string_tree*&gt;::iterator p = mappings<span class="Delimiter">.</span>begin<span class="Delimiter">();</span> p != mappings<span class="Delimiter">.</span>end<span class="Delimiter">();</span> ++p<span class="Delimiter">)</span>
+      delete p<span class="Delimiter">-&gt;</span>second<span class="Delimiter">;</span>
+    if <span class="Delimiter">(</span>error<span class="Delimiter">)</span> <span class="Identifier">return</span> exemplar<span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  ensure_all_concrete_types<span class="Delimiter">(</span>new_recipe<span class="Delimiter">);</span>
+  <span class="Comment">// finally, perform all transforms on the new specialization</span>
+  for <span class="Delimiter">(</span>long long int t = <span class="Constant">0</span><span class="Delimiter">;</span> t &lt; SIZE<span class="Delimiter">(</span>Transform<span class="Delimiter">);</span> ++t<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    <span class="Delimiter">(</span>*Transform<span class="Delimiter">.</span>at<span class="Delimiter">(</span>t<span class="Delimiter">))(</span>new_recipe_ordinal<span class="Delimiter">);</span>
+  <span class="Delimiter">}</span>
+  new_recipe<span class="Delimiter">.</span>transformed_until = SIZE<span class="Delimiter">(</span>Transform<span class="Delimiter">)</span>-<span class="Constant">1</span><span class="Delimiter">;</span>
+  <span class="Identifier">return</span> new_recipe_ordinal<span class="Delimiter">;</span>
+<span class="Delimiter">}</span>
+
+void compute_type_names<span class="Delimiter">(</span>recipe&amp; variant<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;compute type names: &quot;</span> &lt;&lt; variant<span class="Delimiter">.</span>name &lt;&lt; end<span class="Delimiter">();</span>
+  map&lt;string<span class="Delimiter">,</span> string_tree*&gt; type_names<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>variant<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
+    save_or_deduce_type_name<span class="Delimiter">(</span>variant<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">),</span> type_names<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>variant<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
+    save_or_deduce_type_name<span class="Delimiter">(</span>variant<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">),</span> type_names<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>variant<span class="Delimiter">.</span>steps<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    instruction&amp; inst = variant<span class="Delimiter">.</span>steps<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
+    trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;  instruction: &quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>to_string<span class="Delimiter">()</span> &lt;&lt; end<span class="Delimiter">();</span>
+    for <span class="Delimiter">(</span>long long int in = <span class="Constant">0</span><span class="Delimiter">;</span> in &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++in<span class="Delimiter">)</span>
+      save_or_deduce_type_name<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>in<span class="Delimiter">),</span> type_names<span class="Delimiter">);</span>
+    for <span class="Delimiter">(</span>long long int out = <span class="Constant">0</span><span class="Delimiter">;</span> out &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++out<span class="Delimiter">)</span>
+      save_or_deduce_type_name<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>out<span class="Delimiter">),</span> type_names<span class="Delimiter">);</span>
+  <span class="Delimiter">}</span>
+<span class="Delimiter">}</span>
+
+void save_or_deduce_type_name<span class="Delimiter">(</span>reagent&amp; x<span class="Delimiter">,</span> map&lt;string<span class="Delimiter">,</span> string_tree*&gt;&amp; type_name<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  trace<span class="Delimiter">(</span><span class="Constant">9994</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;    checking &quot;</span> &lt;&lt; x<span class="Delimiter">.</span>to_string<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: &quot;</span> &lt;&lt; debug_string<span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">)</span> &lt;&lt; end<span class="Delimiter">();</span>
+  if <span class="Delimiter">(</span>!x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second &amp;&amp; contains_key<span class="Delimiter">(</span>type_name<span class="Delimiter">,</span> x<span class="Delimiter">.</span>name<span class="Delimiter">))</span> <span class="Delimiter">{</span>
+    x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second = new string_tree<span class="Delimiter">(</span>*get<span class="Delimiter">(</span>type_name<span class="Delimiter">,</span> x<span class="Delimiter">.</span>name<span class="Delimiter">));</span>
+    trace<span class="Delimiter">(</span><span class="Constant">9994</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;    deducing type to &quot;</span> &lt;&lt; debug_string<span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">)</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">return</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  if <span class="Delimiter">(</span>!x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    raise &lt;&lt; <span class="Constant">&quot;unknown type for &quot;</span> &lt;&lt; x<span class="Delimiter">.</span>original_string &lt;&lt; <span class="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">return</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  if <span class="Delimiter">(</span>contains_key<span class="Delimiter">(</span>type_name<span class="Delimiter">,</span> x<span class="Delimiter">.</span>name<span class="Delimiter">))</span> <span class="Identifier">return</span><span class="Delimiter">;</span>
+  if <span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">-&gt;</span>value == <span class="Constant">&quot;offset&quot;</span> || x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">-&gt;</span>value == <span class="Constant">&quot;variant&quot;</span><span class="Delimiter">)</span> <span class="Identifier">return</span><span class="Delimiter">;</span>  <span class="Comment">// special-case for container-access instructions</span>
+  put<span class="Delimiter">(</span>type_name<span class="Delimiter">,</span> x<span class="Delimiter">.</span>name<span class="Delimiter">,</span> x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">);</span>
+  trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;type of &quot;</span> &lt;&lt; x<span class="Delimiter">.</span>name &lt;&lt; <span class="Constant">&quot; is &quot;</span> &lt;&lt; debug_string<span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">)</span> &lt;&lt; end<span class="Delimiter">();</span>
+<span class="Delimiter">}</span>
+
+void compute_type_ingredient_mappings<span class="Delimiter">(</span>const recipe&amp; exemplar<span class="Delimiter">,</span> const instruction&amp; inst<span class="Delimiter">,</span> map&lt;string<span class="Delimiter">,</span> const string_tree*&gt;&amp; mappings<span class="Delimiter">,</span> const recipe&amp; caller_recipe<span class="Delimiter">,</span> bool* error<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>exemplar<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    const reagent&amp; exemplar_reagent = exemplar<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
+    reagent ingredient = inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
+    assert<span class="Delimiter">(</span>ingredient<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">);</span>
+    canonize_type<span class="Delimiter">(</span>ingredient<span class="Delimiter">);</span>
+    accumulate_type_ingredients<span class="Delimiter">(</span>exemplar_reagent<span class="Delimiter">,</span> ingredient<span class="Delimiter">,</span> mappings<span class="Delimiter">,</span> exemplar<span class="Delimiter">,</span> inst<span class="Delimiter">,</span> caller_recipe<span class="Delimiter">,</span> error<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>exemplar<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    const reagent&amp; exemplar_reagent = exemplar<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
+    reagent product = inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
+    assert<span class="Delimiter">(</span>product<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">);</span>
+    canonize_type<span class="Delimiter">(</span>product<span class="Delimiter">);</span>
+    accumulate_type_ingredients<span class="Delimiter">(</span>exemplar_reagent<span class="Delimiter">,</span> product<span class="Delimiter">,</span> mappings<span class="Delimiter">,</span> exemplar<span class="Delimiter">,</span> inst<span class="Delimiter">,</span> caller_recipe<span class="Delimiter">,</span> error<span class="Delimiter">);</span>
+  <span class="Delimiter">}</span>
+<span class="Delimiter">}</span>
+
+void accumulate_type_ingredients<span class="Delimiter">(</span>const reagent&amp; exemplar_reagent<span class="Delimiter">,</span> reagent&amp; refinement<span class="Delimiter">,</span> map&lt;string<span class="Delimiter">,</span> const string_tree*&gt;&amp; mappings<span class="Delimiter">,</span> const recipe&amp; exemplar<span class="Delimiter">,</span> const instruction&amp; call_instruction<span class="Delimiter">,</span> const recipe&amp; caller_recipe<span class="Delimiter">,</span> bool* error<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  assert<span class="Delimiter">(</span>refinement<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">);</span>
+  accumulate_type_ingredients<span class="Delimiter">(</span>exemplar_reagent<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">,</span> refinement<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">,</span> mappings<span class="Delimiter">,</span> exemplar<span class="Delimiter">,</span> exemplar_reagent<span class="Delimiter">,</span> call_instruction<span class="Delimiter">,</span> caller_recipe<span class="Delimiter">,</span> error<span class="Delimiter">);</span>
+<span class="Delimiter">}</span>
+
+void accumulate_type_ingredients<span class="Delimiter">(</span>const string_tree* exemplar_type<span class="Delimiter">,</span> const string_tree* refinement_type<span class="Delimiter">,</span> map&lt;string<span class="Delimiter">,</span> const string_tree*&gt;&amp; mappings<span class="Delimiter">,</span> const recipe&amp; exemplar<span class="Delimiter">,</span> const reagent&amp; exemplar_reagent<span class="Delimiter">,</span> const instruction&amp; call_instruction<span class="Delimiter">,</span> const recipe&amp; caller_recipe<span class="Delimiter">,</span> bool* error<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  if <span class="Delimiter">(</span>!exemplar_type<span class="Delimiter">)</span> <span class="Identifier">return</span><span class="Delimiter">;</span>
+  if <span class="Delimiter">(</span>!refinement_type<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>exemplar<span class="Delimiter">.</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;missing type ingredient in &quot;</span> &lt;&lt; exemplar_reagent<span class="Delimiter">.</span>original_string &lt;&lt; <span class="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">return</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  if <span class="Delimiter">(</span>!exemplar_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; exemplar_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> == <span class="Constant">'_'</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    assert<span class="Delimiter">(</span>!refinement_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">.</span>empty<span class="Delimiter">());</span>
+    if <span class="Delimiter">(</span>exemplar_type<span class="Delimiter">-&gt;</span>right<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+      raise_error &lt;&lt; <span class="Constant">&quot;type_ingredients in non-last position not currently supported</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+      <span class="Identifier">return</span><span class="Delimiter">;</span>
+    <span class="Delimiter">}</span>
+    if <span class="Delimiter">(</span>!contains_key<span class="Delimiter">(</span>mappings<span class="Delimiter">,</span> exemplar_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">))</span> <span class="Delimiter">{</span>
+      trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;adding mapping from &quot;</span> &lt;&lt; exemplar_type<span class="Delimiter">-&gt;</span>value &lt;&lt; <span class="Constant">&quot; to &quot;</span> &lt;&lt; debug_string<span class="Delimiter">(</span>refinement_type<span class="Delimiter">)</span> &lt;&lt; end<span class="Delimiter">();</span>
+      put<span class="Delimiter">(</span>mappings<span class="Delimiter">,</span> exemplar_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">,</span> new string_tree<span class="Delimiter">(</span>*refinement_type<span class="Delimiter">));</span>
+    <span class="Delimiter">}</span>
+    else <span class="Delimiter">{</span>
+      if <span class="Delimiter">(</span>!deeply_equal<span class="Delimiter">(</span>get<span class="Delimiter">(</span>mappings<span class="Delimiter">,</span> exemplar_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">),</span> refinement_type<span class="Delimiter">))</span> <span class="Delimiter">{</span>
+        raise_error &lt;&lt; maybe<span class="Delimiter">(</span>caller_recipe<span class="Delimiter">.</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;no call found for '&quot;</span> &lt;&lt; call_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>
+        *error = <span class="Constant">true</span><span class="Delimiter">;</span>
+        <span class="Identifier">return</span><span class="Delimiter">;</span>
+      <span class="Delimiter">}</span>
+    <span class="Delimiter">}</span>
+  <span class="Delimiter">}</span>
+  else <span class="Delimiter">{</span>
+    accumulate_type_ingredients<span class="Delimiter">(</span>exemplar_type<span class="Delimiter">-&gt;</span>left<span class="Delimiter">,</span> refinement_type<span class="Delimiter">-&gt;</span>left<span class="Delimiter">,</span> mappings<span class="Delimiter">,</span> exemplar<span class="Delimiter">,</span> exemplar_reagent<span class="Delimiter">,</span> call_instruction<span class="Delimiter">,</span> caller_recipe<span class="Delimiter">,</span> error<span class="Delimiter">);</span>
+  <span class="Delimiter">}</span>
+  accumulate_type_ingredients<span class="Delimiter">(</span>exemplar_type<span class="Delimiter">-&gt;</span>right<span class="Delimiter">,</span> refinement_type<span class="Delimiter">-&gt;</span>right<span class="Delimiter">,</span> mappings<span class="Delimiter">,</span> exemplar<span class="Delimiter">,</span> exemplar_reagent<span class="Delimiter">,</span> call_instruction<span class="Delimiter">,</span> caller_recipe<span class="Delimiter">,</span> error<span class="Delimiter">);</span>
+<span class="Delimiter">}</span>
+
+void replace_type_ingredients<span class="Delimiter">(</span>recipe&amp; new_recipe<span class="Delimiter">,</span> const map&lt;string<span class="Delimiter">,</span> const string_tree*&gt;&amp; mappings<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  <span class="Comment">// update its header</span>
+  if <span class="Delimiter">(</span>mappings<span class="Delimiter">.</span>empty<span class="Delimiter">())</span> <span class="Identifier">return</span><span class="Delimiter">;</span>
+  trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;replacing in recipe header ingredients&quot;</span> &lt;&lt; end<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>new_recipe<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
+    replace_type_ingredients<span class="Delimiter">(</span>new_recipe<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">),</span> mappings<span class="Delimiter">);</span>
+  trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;replacing in recipe header products&quot;</span> &lt;&lt; end<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>new_recipe<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
+    replace_type_ingredients<span class="Delimiter">(</span>new_recipe<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">),</span> mappings<span class="Delimiter">);</span>
+  <span class="Comment">// update its body</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>new_recipe<span class="Delimiter">.</span>steps<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    instruction&amp; inst = new_recipe<span class="Delimiter">.</span>steps<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
+    trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;replacing in instruction '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>to_string<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;'&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    for <span class="Delimiter">(</span>long long int j = <span class="Constant">0</span><span class="Delimiter">;</span> j &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++j<span class="Delimiter">)</span>
+      replace_type_ingredients<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>j<span class="Delimiter">),</span> mappings<span class="Delimiter">);</span>
+    for <span class="Delimiter">(</span>long long int j = <span class="Constant">0</span><span class="Delimiter">;</span> j &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++j<span class="Delimiter">)</span>
+      replace_type_ingredients<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>j<span class="Delimiter">),</span> mappings<span class="Delimiter">);</span>
+    <span class="Comment">// special-case for new: replace type ingredient in first ingredient *value*</span>
+    if <span class="Delimiter">(</span>inst<span class="Delimiter">.</span>name == <span class="Constant">&quot;new&quot;</span> &amp;&amp; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>name<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> != <span class="Constant">'['</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
+      string_tree* type_name = parse_string_tree<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>name<span class="Delimiter">);</span>
+      replace_type_ingredients<span class="Delimiter">(</span>type_name<span class="Delimiter">,</span> mappings<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>name = type_name<span class="Delimiter">-&gt;</span>to_string<span class="Delimiter">();</span>
+      delete type_name<span class="Delimiter">;</span>
+    <span class="Delimiter">}</span>
+  <span class="Delimiter">}</span>
+<span class="Delimiter">}</span>
+
+void replace_type_ingredients<span class="Delimiter">(</span>reagent&amp; x<span class="Delimiter">,</span> const map&lt;string<span class="Delimiter">,</span> const string_tree*&gt;&amp; mappings<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;replacing in ingredient &quot;</span> &lt;&lt; x<span class="Delimiter">.</span>original_string &lt;&lt; end<span class="Delimiter">();</span>
+  <span class="Comment">// replace properties</span>
+  assert<span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">);</span>
+  replace_type_ingredients<span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">,</span> mappings<span class="Delimiter">);</span>
+  <span class="Comment">// refresh types from properties</span>
+  delete x<span class="Delimiter">.</span>type<span class="Delimiter">;</span>
+  x<span class="Delimiter">.</span>type = new_type_tree<span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">);</span>
+  if <span class="Delimiter">(</span>x<span class="Delimiter">.</span>type<span class="Delimiter">)</span>
+    trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;  after: &quot;</span> &lt;&lt; debug_string<span class="Delimiter">(</span>x<span class="Delimiter">.</span>type<span class="Delimiter">)</span> &lt;&lt; end<span class="Delimiter">();</span>
+<span class="Delimiter">}</span>
+
+void replace_type_ingredients<span class="Delimiter">(</span>string_tree* type<span class="Delimiter">,</span> const map&lt;string<span class="Delimiter">,</span> const string_tree*&gt;&amp; mappings<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  if <span class="Delimiter">(</span>!type<span class="Delimiter">)</span> <span class="Identifier">return</span><span class="Delimiter">;</span>
+  if <span class="Delimiter">(</span>is_type_ingredient_name<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">)</span> &amp;&amp; contains_key<span class="Delimiter">(</span>mappings<span class="Delimiter">,</span> type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">))</span> <span class="Delimiter">{</span>
+    const string_tree* replacement = get<span class="Delimiter">(</span>mappings<span class="Delimiter">,</span> type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">);</span>
+    trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; type<span class="Delimiter">-&gt;</span>value &lt;&lt; <span class="Constant">&quot; =&gt; &quot;</span> &lt;&lt; debug_string<span class="Delimiter">(</span>replacement<span class="Delimiter">)</span> &lt;&lt; end<span class="Delimiter">();</span>
+    type<span class="Delimiter">-&gt;</span>value = replacement<span class="Delimiter">-&gt;</span>value<span class="Delimiter">;</span>
+    if <span class="Delimiter">(</span>replacement<span class="Delimiter">-&gt;</span>left<span class="Delimiter">)</span> type<span class="Delimiter">-&gt;</span>left = new string_tree<span class="Delimiter">(</span>*replacement<span class="Delimiter">-&gt;</span>left<span class="Delimiter">);</span>
+    if <span class="Delimiter">(</span>replacement<span class="Delimiter">-&gt;</span>right<span class="Delimiter">)</span> type<span class="Delimiter">-&gt;</span>right = new string_tree<span class="Delimiter">(</span>*replacement<span class="Delimiter">-&gt;</span>right<span class="Delimiter">);</span>
+  <span class="Delimiter">}</span>
+  replace_type_ingredients<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>left<span class="Delimiter">,</span> mappings<span class="Delimiter">);</span>
+  replace_type_ingredients<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>right<span class="Delimiter">,</span> mappings<span class="Delimiter">);</span>
+<span class="Delimiter">}</span>
+
+void ensure_all_concrete_types<span class="Delimiter">(</span>const recipe&amp; new_recipe<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>new_recipe<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
+    ensure_all_concrete_types<span class="Delimiter">(</span>new_recipe<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>type<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>new_recipe<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
+    ensure_all_concrete_types<span class="Delimiter">(</span>new_recipe<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>type<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>new_recipe<span class="Delimiter">.</span>steps<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    const instruction&amp; inst = new_recipe<span class="Delimiter">.</span>steps<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
+    for <span class="Delimiter">(</span>long long int j = <span class="Constant">0</span><span class="Delimiter">;</span> j &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++j<span class="Delimiter">)</span>
+      ensure_all_concrete_types<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>j<span class="Delimiter">).</span>type<span class="Delimiter">);</span>
+    for <span class="Delimiter">(</span>long long int j = <span class="Constant">0</span><span class="Delimiter">;</span> j &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++j<span class="Delimiter">)</span>
+      ensure_all_concrete_types<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>j<span class="Delimiter">).</span>type<span class="Delimiter">);</span>
+  <span class="Delimiter">}</span>
+<span class="Delimiter">}</span>
+
+void ensure_all_concrete_types<span class="Delimiter">(</span>const type_tree* x<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+  if <span class="Delimiter">(</span>!x<span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    raise &lt;&lt; <span class="Constant">&quot;null type</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">return</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+  if <span class="Delimiter">(</span>x<span class="Delimiter">-&gt;</span>value == -<span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
+    raise &lt;&lt; <span class="Constant">&quot;unknown type</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
+    <span class="Identifier">return</span><span class="Delimiter">;</span>
+  <span class="Delimiter">}</span>
+<span class="Delimiter">}</span>
+
+<span class="Delimiter">:(scenario shape_shifting_recipe_2)</span>
+recipe main [
+  <span class="Constant">10</span>:point<span class="Special"> &lt;- </span>merge <span class="Constant">14</span><span class="Delimiter">,</span> <span class="Constant">15</span>
+  <span class="Constant">11</span>:point<span class="Special"> &lt;- </span>foo <span class="Constant">10</span>:point
+]
+<span class="Comment"># non-matching shape-shifting variant</span>
+recipe foo a:_t<span class="Delimiter">,</span> b:_t <span class="Delimiter">-&gt;</span> result:number [
+  local-scope
+  load-ingredients
+  result<span class="Special"> &lt;- </span>copy <span class="Constant">34</span>
+]
+<span class="Comment"># matching shape-shifting variant</span>
+recipe foo a:_t <span class="Delimiter">-&gt;</span> result:_t [
+  local-scope
+  load-ingredients
+  result<span class="Special"> &lt;- </span>copy a
+]
+<span class="traceContains">+mem: storing 14 in location 11</span>
+<span class="traceContains">+mem: storing 15 in location 12</span>
+
+<span class="Delimiter">:(scenario shape_shifting_recipe_nonroot)</span>
+recipe main [
+  <span class="Constant">10</span>:foo:point<span class="Special"> &lt;- </span>merge <span class="Constant">14</span><span class="Delimiter">,</span> <span class="Constant">15</span><span class="Delimiter">,</span> <span class="Constant">16</span>
+  <span class="Constant">20</span>:point/<span class="Special">raw &lt;- </span>bar <span class="Constant">10</span>:foo:point
+]
+<span class="Comment"># shape-shifting recipe with type ingredient following some other type</span>
+recipe bar a:foo:_t <span class="Delimiter">-&gt;</span> result:_t [
+  local-scope
+  load-ingredients
+  result<span class="Special"> &lt;- </span>get a<span class="Delimiter">,</span> x:offset
+]
+container foo:_t [
+  x:_t
+  y:number
+]
+<span class="traceContains">+mem: storing 14 in location 20</span>
+<span class="traceContains">+mem: storing 15 in location 21</span>
+
+<span class="Delimiter">:(scenario shape_shifting_recipe_type_deduction_ignores_offsets)</span>
+recipe main [
+  <span class="Constant">10</span>:foo:point<span class="Special"> &lt;- </span>merge <span class="Constant">14</span><span class="Delimiter">,</span> <span class="Constant">15</span><span class="Delimiter">,</span> <span class="Constant">16</span>
+  <span class="Constant">20</span>:point/<span class="Special">raw &lt;- </span>bar <span class="Constant">10</span>:foo:point
+]
+recipe bar a:foo:_t <span class="Delimiter">-&gt;</span> result:_t [
+  local-scope
+  load-ingredients
+  x:number<span class="Special"> &lt;- </span>copy <span class="Constant">1</span>
+  result<span class="Special"> &lt;- </span>get a<span class="Delimiter">,</span> x:offset  <span class="Comment"># shouldn't collide with other variable</span>
+]
+container foo:_t [
+  x:_t
+  y:number
+]
+<span class="traceContains">+mem: storing 14 in location 20</span>
+<span class="traceContains">+mem: storing 15 in location 21</span>
+
+<span class="Delimiter">:(scenario shape_shifting_recipe_handles_shape_shifting_new_ingredient)</span>
+recipe main [
+  <span class="Constant">1</span>:address:foo:point<span class="Special"> &lt;- </span>bar <span class="Constant">3</span>
+  <span class="Constant">11</span>:foo:point<span class="Special"> &lt;- </span>copy *<span class="Constant">1</span>:address:foo:point
+]
+container foo:_t [
+  x:_t
+  y:number
+]
+recipe bar x:number <span class="Delimiter">-&gt;</span> result:address:foo:_t [
+  local-scope
+  load-ingredients
+  <span class="Comment"># new refers to _t in its ingredient *value*</span>
+  result<span class="Special"> &lt;- </span>new <span class="Delimiter">{(</span>foo _t<span class="Delimiter">)</span> : type<span class="Delimiter">}</span>
+]
+<span class="traceContains">+mem: storing 0 in location 11</span>
+<span class="traceContains">+mem: storing 0 in location 12</span>
+<span class="traceContains">+mem: storing 0 in location 13</span>
+
+<span class="Delimiter">:(scenario shape_shifting_recipe_handles_shape_shifting_new_ingredient_2)</span>
+recipe main [
+  <span class="Constant">1</span>:address:foo:point<span class="Special"> &lt;- </span>bar <span class="Constant">3</span>
+  <span class="Constant">11</span>:foo:point<span class="Special"> &lt;- </span>copy *<span class="Constant">1</span>:address:foo:point
+]
+recipe bar x:number <span class="Delimiter">-&gt;</span> result:address:foo:_t [
+  local-scope
+  load-ingredients
+  <span class="Comment"># new refers to _t in its ingredient *value*</span>
+  result<span class="Special"> &lt;- </span>new <span class="Delimiter">{(</span>foo _t<span class="Delimiter">)</span> : type<span class="Delimiter">}</span>
+]
+<span class="Comment"># container defined after use</span>
+container foo:_t [
+  x:_t
+  y:number
+]
+<span class="traceContains">+mem: storing 0 in location 11</span>
+<span class="traceContains">+mem: storing 0 in location 12</span>
+<span class="traceContains">+mem: storing 0 in location 13</span>
+
+<span class="Delimiter">:(scenario shape_shifting_recipe_supports_compound_types)</span>
+recipe main [
+  <span class="Constant">1</span>:address:point<span class="Special"> &lt;- </span>new point:type
+  <span class="Constant">2</span>:address:number<span class="Special"> &lt;- </span>get-address *<span class="Constant">1</span>:address:point<span class="Delimiter">,</span> y:offset
+  *<span class="Constant">2</span>:address:number<span class="Special"> &lt;- </span>copy <span class="Constant">34</span>
+  <span class="Constant">3</span>:address:point<span class="Special"> &lt;- </span>bar <span class="Constant">1</span>:address:point  <span class="Comment"># specialize _t to address:point</span>
+  <span class="Constant">4</span>:point<span class="Special"> &lt;- </span>copy *<span class="Constant">3</span>:address:point
+]
+recipe bar a:_t <span class="Delimiter">-&gt;</span> result:_t [
+  local-scope
+  load-ingredients
+  result<span class="Special"> &lt;- </span>copy a
+]
+<span class="traceContains">+mem: storing 34 in location 5</span>
+
+<span class="Delimiter">:(scenario shape_shifting_recipe_error)</span>
+<span class="Special">% Hide_errors = true;</span>
+recipe main [
+  a:number<span class="Special"> &lt;- </span>copy <span class="Constant">3</span>
+  b:address:number<span class="Special"> &lt;- </span>foo a
+]
+recipe foo a:_t <span class="Delimiter">-&gt;</span> b:_t [
+  load-ingredients
+  b<span class="Special"> &lt;- </span>copy a
+]
+<span class="traceContains">+error: main: no call found for 'b:address:number &lt;- foo a'</span>
+</pre>
+</body>
+</html>
+<!-- vim: set foldmethod=manual : -->