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<pre id='vimCodeElement'>
<span class="Comment">//: Arrays contain a variable number of elements of the same type. Their value</span>
<span class="Comment">//: starts with the length of the array.</span>
<span class="Comment">//:</span>
<span class="Comment">//: You can create arrays of containers, but containers can only contain</span>
<span class="Comment">//: elements of a fixed size, so you can't create containers containing arrays.</span>
<span class="Comment">//: Create containers containing addresses to arrays instead.</span>

<span class="Comment">//: You can create arrays using 'create-array'.</span>
<span class="Delimiter">:(scenario create_array)</span>
recipe main [
  <span class="Comment"># create an array occupying locations 1 (for the size) and 2-4 (for the elements)</span>
  <span class="Constant">1</span>:array:number:<span class="Constant">3</span><span class="Special"> &lt;- </span>create-array
]
<span class="traceContains">+run: creating array of size 4</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
CREATE_ARRAY<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
Recipe_ordinal[<span class="Constant">&quot;create-array&quot;</span>] = CREATE_ARRAY<span class="Delimiter">;</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
case CREATE_ARRAY: <span class="Delimiter">{</span>
  if <span class="Delimiter">(</span>current_instruction<span class="Delimiter">().</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">())</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name <span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: 'create-array' needs one product and no ingredients but got '&quot;</span> &lt;&lt; current_instruction<span class="Delimiter">().</span>to_string<span class="Delimiter">()</span> &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>
  reagent product = canonize<span class="Delimiter">(</span>current_instruction<span class="Delimiter">().</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  if <span class="Delimiter">(</span>!is_mu_array<span class="Delimiter">(</span>product<span class="Delimiter">))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name <span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: 'create-array' cannot create non-array &quot;</span> &lt;&lt; product<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>
  long long int base_address = product<span class="Delimiter">.</span>value<span class="Delimiter">;</span>
  if <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>product<span class="Delimiter">.</span>types<span class="Delimiter">)</span> == <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name <span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: create array of what? &quot;</span> &lt;&lt; current_instruction<span class="Delimiter">().</span>to_string<span class="Delimiter">()</span> &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="Comment">// 'create-array' will need to check properties rather than types</span>
  if <span class="Delimiter">(</span>SIZE<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> &lt;= <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name <span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: create array of what size? &quot;</span> &lt;&lt; current_instruction<span class="Delimiter">().</span>to_string<span class="Delimiter">()</span> &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>
  if <span class="Delimiter">(</span>!is_integer<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>at<span class="Delimiter">(</span><span class="Constant">2</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name <span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: 'create-array' product should specify size of array after its element type, but got &quot;</span> &lt;&lt; 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>at<span class="Delimiter">(</span><span class="Constant">2</span><span class="Delimiter">)</span> &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>
  long long int array_size= to_integer<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>at<span class="Delimiter">(</span><span class="Constant">2</span><span class="Delimiter">));</span>
  <span class="Comment">// initialize array size, so that size_of will work</span>
  Memory[base_address] = array_size<span class="Delimiter">;</span>  <span class="Comment">// in array elements</span>
  long long int size = size_of<span class="Delimiter">(</span>product<span class="Delimiter">);</span>  <span class="Comment">// in locations</span>
  trace<span class="Delimiter">(</span><span class="Constant">&quot;run&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;creating array of size &quot;</span> &lt;&lt; size &lt;&lt; <span class="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
  <span class="Comment">// initialize array</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">1</span><span class="Delimiter">;</span> i &lt;= size_of<span class="Delimiter">(</span>product<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    Memory[base_address+i] = <span class="Constant">0</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  <span class="Comment">// dummy product; doesn't actually do anything</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>array_size<span class="Delimiter">);</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario copy_array)</span>
<span class="Comment"># Arrays can be copied around with a single instruction just like numbers,</span>
<span class="Comment"># no matter how large they are.</span>
recipe main [
  <span class="Constant">1</span>:array:number:<span class="Constant">3</span><span class="Special"> &lt;- </span>create-array
  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">4</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">5</span>:array:number<span class="Special"> &lt;- </span>copy <span class="Constant">1</span>:array:number:<span class="Constant">3</span>
]
<span class="traceContains">+mem: storing 3 in location 5</span>
<span class="traceContains">+mem: storing 14 in location 6</span>
<span class="traceContains">+mem: storing 15 in location 7</span>
<span class="traceContains">+mem: storing 16 in location 8</span>

<span class="Delimiter">:(scenario copy_array_indirect)</span>
recipe main [
  <span class="Constant">1</span>:array:number:<span class="Constant">3</span><span class="Special"> &lt;- </span>create-array
  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">4</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">5</span>:address:array:number<span class="Special"> &lt;- </span>copy <span class="Constant">1</span>  <span class="Comment"># unsafe</span>
  <span class="Constant">6</span>:array:number<span class="Special"> &lt;- </span>copy *<span class="Constant">5</span>:address:array:number
]
<span class="traceContains">+mem: storing 3 in location 6</span>
<span class="traceContains">+mem: storing 14 in location 7</span>
<span class="traceContains">+mem: storing 15 in location 8</span>
<span class="traceContains">+mem: storing 16 in location 9</span>

<span class="Delimiter">:(scenario stash_array)</span>
recipe main [
  <span class="Constant">1</span>:array:number:<span class="Constant">3</span><span class="Special"> &lt;- </span>create-array
  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">4</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  stash [foo: ]<span class="Delimiter">,</span> <span class="Constant">1</span>:array:number:<span class="Constant">3</span>
]
<span class="traceContains">+app: foo: 3 14 15 16</span>

<span class="Comment">//: disable the size mismatch check since the destination array need not be initialized</span>
<span class="Delimiter">:(before &quot;End size_mismatch(x) Cases&quot;)</span>
if <span class="Delimiter">(</span>x<span class="Delimiter">.</span>types<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> == Type_ordinal[<span class="Constant">&quot;array&quot;</span>]<span class="Delimiter">)</span> <span class="Identifier">return</span> <span class="Constant">false</span><span class="Delimiter">;</span>
<span class="Delimiter">:(before &quot;End size_of(reagent) Cases&quot;)</span>
if <span class="Delimiter">(</span>r<span class="Delimiter">.</span>types<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> == Type_ordinal[<span class="Constant">&quot;array&quot;</span>]<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  if <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>r<span class="Delimiter">.</span>types<span class="Delimiter">)</span> == <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: '&quot;</span> &lt;&lt; r<span class="Delimiter">.</span>original_string &lt;&lt; <span class="Constant">&quot;' is an array of what?</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="Constant">1</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  <span class="Comment">// skip the 'array' type to get at the element type</span>
  <span class="Identifier">return</span> <span class="Constant">1</span> + Memory[r<span class="Delimiter">.</span>value]*size_of<span class="Delimiter">(</span>array_element<span class="Delimiter">(</span>r<span class="Delimiter">.</span>types<span class="Delimiter">));</span>
<span class="Delimiter">}</span>

<span class="SalientComment">//:: To access elements of an array, use 'index'</span>

<span class="Delimiter">:(scenario index)</span>
recipe main [
  <span class="Constant">1</span>:array:number:<span class="Constant">3</span><span class="Special"> &lt;- </span>create-array
  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">4</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">5</span>:number<span class="Special"> &lt;- </span>index <span class="Constant">1</span>:array:number:<span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">0</span>
]
<span class="traceContains">+mem: storing 14 in location 5</span>

<span class="Delimiter">:(scenario index_direct_offset)</span>
recipe main [
  <span class="Constant">1</span>:array:number:<span class="Constant">3</span><span class="Special"> &lt;- </span>create-array
  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">4</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">5</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">0</span>
  <span class="Constant">6</span>:number<span class="Special"> &lt;- </span>index <span class="Constant">1</span>:array:number<span class="Delimiter">,</span> <span class="Constant">5</span>:number
]
<span class="traceContains">+mem: storing 14 in location 6</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
INDEX<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
Recipe_ordinal[<span class="Constant">&quot;index&quot;</span>] = INDEX<span class="Delimiter">;</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
case INDEX: <span class="Delimiter">{</span>
  if <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>current_instruction<span class="Delimiter">().</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: 'index' expects exactly 2 ingredients 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>
  reagent base = canonize<span class="Delimiter">(</span>current_instruction<span class="Delimiter">().</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  if <span class="Delimiter">(</span>!is_mu_array<span class="Delimiter">(</span>base<span class="Delimiter">))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name <span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: 'index' on a non-array &quot;</span> &lt;&lt; base<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>
  long long int base_address = base<span class="Delimiter">.</span>value<span class="Delimiter">;</span>
  if <span class="Delimiter">(</span>base_address == <span class="Constant">0</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: tried to access location 0 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>
  reagent offset = canonize<span class="Delimiter">(</span>current_instruction<span class="Delimiter">().</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">));</span>
  vector&lt;double&gt; offset_val<span class="Delimiter">(</span>read_memory<span class="Delimiter">(</span>offset<span class="Delimiter">));</span>
  vector&lt;type_ordinal&gt; element_type = array_element<span class="Delimiter">(</span>base<span class="Delimiter">.</span>types<span class="Delimiter">);</span>
  if <span class="Delimiter">(</span>offset_val<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> &lt; <span class="Constant">0</span> || offset_val<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> &gt;= Memory[base_address]<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: invalid index &quot;</span> &lt;&lt; offset_val<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> &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>
  long long int src = base_address + <span class="Constant">1</span> + offset_val<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span>*size_of<span class="Delimiter">(</span>element_type<span class="Delimiter">);</span>
  trace<span class="Delimiter">(</span>Primitive_recipe_depth<span class="Delimiter">,</span> <span class="Constant">&quot;run&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;address to copy is &quot;</span> &lt;&lt; src &lt;&lt; end<span class="Delimiter">();</span>
  trace<span class="Delimiter">(</span>Primitive_recipe_depth<span class="Delimiter">,</span> <span class="Constant">&quot;run&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;its type is &quot;</span> &lt;&lt; Type[element_type<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span>]<span class="Delimiter">.</span>name &lt;&lt; end<span class="Delimiter">();</span>
  reagent tmp<span class="Delimiter">;</span>
  tmp<span class="Delimiter">.</span>set_value<span class="Delimiter">(</span>src<span class="Delimiter">);</span>
  copy<span class="Delimiter">(</span>element_type<span class="Delimiter">.</span>begin<span class="Delimiter">(),</span> element_type<span class="Delimiter">.</span>end<span class="Delimiter">(),</span> inserter<span class="Delimiter">(</span>tmp<span class="Delimiter">.</span>types<span class="Delimiter">,</span> tmp<span class="Delimiter">.</span>types<span class="Delimiter">.</span>begin<span class="Delimiter">()));</span>
  products<span class="Delimiter">.</span>push_back<span class="Delimiter">(</span>read_memory<span class="Delimiter">(</span>tmp<span class="Delimiter">));</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(code)</span>
vector&lt;type_ordinal&gt; array_element<span class="Delimiter">(</span>const vector&lt;type_ordinal&gt;&amp; types<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  <span class="Identifier">return</span> vector&lt;type_ordinal&gt;<span class="Delimiter">(</span>++types<span class="Delimiter">.</span>begin<span class="Delimiter">(),</span> types<span class="Delimiter">.</span>end<span class="Delimiter">());</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario index_indirect)</span>
recipe main [
  <span class="Constant">1</span>:array:number:<span class="Constant">3</span><span class="Special"> &lt;- </span>create-array
  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">4</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">5</span>:address:array:number<span class="Special"> &lt;- </span>copy <span class="Constant">1</span>
  <span class="Constant">6</span>:number<span class="Special"> &lt;- </span>index *<span class="Constant">5</span>:address:array:number<span class="Delimiter">,</span> <span class="Constant">1</span>
]
<span class="traceContains">+mem: storing 15 in location 6</span>

<span class="Delimiter">:(scenario index_out_of_bounds)</span>
<span class="Special">% Hide_warnings = true;</span>
recipe main [
  <span class="Constant">1</span>:array:number:<span class="Constant">3</span><span class="Special"> &lt;- </span>create-array
  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">4</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">5</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">6</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">7</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">8</span>:address:array:point<span class="Special"> &lt;- </span>copy <span class="Constant">1</span>
  index *<span class="Constant">8</span>:address:array:point<span class="Delimiter">,</span> <span class="Constant">4</span>  <span class="Comment"># less than size of array in locations, but larger than its length in elements</span>
]
<span class="traceContains">+warn: main: invalid index 4</span>

<span class="Delimiter">:(scenario index_out_of_bounds_2)</span>
<span class="Special">% Hide_warnings = true;</span>
recipe main [
  <span class="Constant">1</span>:array:point:<span class="Constant">3</span><span class="Special"> &lt;- </span>create-array
  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">4</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">5</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">6</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">7</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">8</span>:address:array:point<span class="Special"> &lt;- </span>copy <span class="Constant">1</span>
  index *<span class="Constant">8</span>:address:array:point<span class="Delimiter">,</span> -<span class="Constant">1</span>
]
<span class="traceContains">+warn: main: invalid index -1</span>

<span class="SalientComment">//:: To write to elements of containers, you need their address.</span>

<span class="Delimiter">:(scenario index_address)</span>
recipe main [
  <span class="Constant">1</span>:array:number:<span class="Constant">3</span><span class="Special"> &lt;- </span>create-array
  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">4</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">5</span>:number<span class="Special"> &lt;- </span>index-address <span class="Constant">1</span>:array:number<span class="Delimiter">,</span> <span class="Constant">0</span>
]
<span class="traceContains">+mem: storing 2 in location 5</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
INDEX_ADDRESS<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
Recipe_ordinal[<span class="Constant">&quot;index-address&quot;</span>] = INDEX_ADDRESS<span class="Delimiter">;</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
case INDEX_ADDRESS: <span class="Delimiter">{</span>
  if <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>current_instruction<span class="Delimiter">().</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: 'index-address' expects exactly 2 ingredients 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>
  reagent base = canonize<span class="Delimiter">(</span>current_instruction<span class="Delimiter">().</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  if <span class="Delimiter">(</span>!is_mu_array<span class="Delimiter">(</span>base<span class="Delimiter">))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name <span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: 'index-address' on a non-array &quot;</span> &lt;&lt; base<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>
  long long int base_address = base<span class="Delimiter">.</span>value<span class="Delimiter">;</span>
  if <span class="Delimiter">(</span>base_address == <span class="Constant">0</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: tried to access location 0 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>
  reagent offset = canonize<span class="Delimiter">(</span>current_instruction<span class="Delimiter">().</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">));</span>
  vector&lt;double&gt; offset_val<span class="Delimiter">(</span>read_memory<span class="Delimiter">(</span>offset<span class="Delimiter">));</span>
  vector&lt;type_ordinal&gt; element_type = array_element<span class="Delimiter">(</span>base<span class="Delimiter">.</span>types<span class="Delimiter">);</span>
  if <span class="Delimiter">(</span>offset_val<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> &lt; <span class="Constant">0</span> || offset_val<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> &gt;= Memory[base_address]<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: invalid index &quot;</span> &lt;&lt; offset_val<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> &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>
  long long int result = base_address + <span class="Constant">1</span> + offset_val<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span>*size_of<span class="Delimiter">(</span>element_type<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 index_address_out_of_bounds)</span>
<span class="Special">% Hide_warnings = true;</span>
recipe main [
  <span class="Constant">1</span>:array:point:<span class="Constant">3</span><span class="Special"> &lt;- </span>create-array
  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">4</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">5</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">6</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">7</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">8</span>:address:array:point<span class="Special"> &lt;- </span>copy <span class="Constant">1</span>  <span class="Comment"># unsafe</span>
  index-address *<span class="Constant">8</span>:address:array:point<span class="Delimiter">,</span> <span class="Constant">4</span>  <span class="Comment"># less than size of array in locations, but larger than its length in elements</span>
]
<span class="traceContains">+warn: main: invalid index 4</span>

<span class="Delimiter">:(scenario index_address_out_of_bounds_2)</span>
<span class="Special">% Hide_warnings = true;</span>
recipe main [
  <span class="Constant">1</span>:array:point:<span class="Constant">3</span><span class="Special"> &lt;- </span>create-array
  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">4</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">5</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">6</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">7</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">8</span>:address:array:point<span class="Special"> &lt;- </span>copy <span class="Constant">1</span>  <span class="Comment"># unsafe</span>
  index-address *<span class="Constant">8</span>:address:array:point<span class="Delimiter">,</span> -<span class="Constant">1</span>
]
<span class="traceContains">+warn: main: invalid index -1</span>

<span class="SalientComment">//:: compute the length of an array</span>

<span class="Delimiter">:(scenario array_length)</span>
recipe main [
  <span class="Constant">1</span>:array:number:<span class="Constant">3</span><span class="Special"> &lt;- </span>create-array
  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">14</span>
  <span class="Constant">3</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">15</span>
  <span class="Constant">4</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">16</span>
  <span class="Constant">5</span>:number<span class="Special"> &lt;- </span>length <span class="Constant">1</span>:array:number:<span class="Constant">3</span>
]
<span class="traceContains">+mem: storing 3 in location 5</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
LENGTH<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
Recipe_ordinal[<span class="Constant">&quot;length&quot;</span>] = LENGTH<span class="Delimiter">;</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
case LENGTH: <span class="Delimiter">{</span>
  if <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>current_instruction<span class="Delimiter">().</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: 'length' expects exactly 2 ingredients 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>
  reagent x = canonize<span class="Delimiter">(</span>current_instruction<span class="Delimiter">().</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  if <span class="Delimiter">(</span>!is_mu_array<span class="Delimiter">(</span>x<span class="Delimiter">))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; <span class="Constant">&quot;tried to calculate length of non-array &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">break</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  if <span class="Delimiter">(</span>x<span class="Delimiter">.</span>value == <span class="Constant">0</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; current_recipe_name<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: tried to access location 0 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>
  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>Memory[x<span class="Delimiter">.</span>value]<span class="Delimiter">);</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Comment">//: optimization: none of the instructions in this layer use 'ingredients' so</span>
<span class="Comment">//: stop copying potentially huge arrays into it.</span>
<span class="Delimiter">:(before &quot;End should_copy_ingredients Special-cases&quot;)</span>
recipe_ordinal r = current_instruction<span class="Delimiter">().</span>operation<span class="Delimiter">;</span>
if <span class="Delimiter">(</span>r == CREATE_ARRAY || r == INDEX || r == INDEX_ADDRESS || r == LENGTH<span class="Delimiter">)</span>
  <span class="Identifier">return</span> <span class="Constant">false</span><span class="Delimiter">;</span>
</pre>
</body>
</html>
<!-- vim: set foldmethod=manual : -->