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path: root/compiler/sigmatch.nim
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* move assertions out of system (#19599)flywind2022-03-231-0/+3
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* No longer segfault when using a typeclass with a self referencing type (#19467)Jason Beetham2022-02-021-1/+2
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* Fixed concept constraints for static types (#19391)Jason Beetham2022-01-151-0/+9
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* Generic parameters now can constrain statics in type definitions (#19362)Jason Beetham2022-01-141-2/+12
| | | | | | | | | * Parameters now can constrain static in type definitions resolved regression with generic procedures * Update compiler/sigmatch.nim Co-authored-by: Andreas Rumpf <rumpf_a@web.de>
* fixes #19015 [backport:1.6] (#19204)Andreas Rumpf2021-12-041-1/+2
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* implements https://github.com/nim-lang/RFCs/issues/407 (#18793)Andreas Rumpf2021-09-031-2/+12
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* fixes #16325 [backport:1.4] (#18784)Andreas Rumpf2021-09-021-2/+1
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* sigmatch: support optional params with last block arg(s) (#18631)Timothee Cour2021-08-201-1/+13
| | | | | | | * sigmatch: support optional params with last block arg * add tests * works with multiple block args * cleanup * address comment
* implements overloadable enum values; WIP (#18470)Andreas Rumpf2021-07-281-1/+1
| | | | | * implements overloadable enum values * simpler code
* fixes #18565 (#18593)Andreas Rumpf2021-07-271-1/+3
| | | * fixes #18565
* Make procedure mismatch more informative with pragma/call convention ↵Jason Beetham2021-07-061-31/+2
| | | | | | | | | | | | | | | | | | mismatches (#18384) * Added more concise calling convention/pragma mismatch messages * Now only adds callConvMsg/lock message when sensible * Fixed message formatting * Added tests, and fixed some bugs * Tests joined, and always indenting * More tests and more bug fixes * Fixed first test in tprocmismatch * Using var param for writting mismatches * Better logic for handling proc type rel and conv/pragma mismatch * Refactored getProcConvMismatch * Fixed callConv message formatting * Fixed test for proper message * Cleanup to address issues * getProcConvMismatch now returns tuple, and reformatted code
* fixes #16270 (#18388)Andreas Rumpf2021-06-291-2/+7
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* fix range to unsigned conversion (#17754)Tanguy Cizain2021-04-171-1/+1
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* -d:nimDebug: calls doAssert false instead of quit (#17739)Timothee Cour2021-04-171-1/+1
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* cString => cSourceString; tyCString => tyCstring so that error msgs show ↵Timothee Cour2021-04-171-5/+5
| | | | cstring, not cString (#17744)
* iterable[T] (#17196)Timothee Cour2021-04-111-8/+23
| | | | | | | | * fix failing test toSeq in manual which now works * changelog * reject proc fn(a: iterable) * add iterable to spec * remove MCS/UFCS limitation that now works
* `--nilseqs` is now a deprecated noop (#17211)Timothee Cour2021-03-011-8/+2
| | | | | * --nilseqs is now a deprecated noop * fix tests; fix: future => sugar
* new-style concepts implementation, WIP (#15251)Andreas Rumpf2021-02-241-5/+12
| | | | | | | | | | | | | * fixes #15210 [backport:1.2] * make tests green * make ordinal work * makes Swapable test compile * make Indexable example work * concepts: 'self' is now 'Self' * concepts: make Dictionary example compile * document the new concept implementation * concepts: make typeDesc work properly * concepts: allow documentation comments (d'oh)
* big steps torwards an efficient, simple IC implementation (#16543)Andreas Rumpf2021-01-021-5/+5
| | | | | | | | | | | | | | | | | | | * reworked ID handling * the packed AST now has its own ID mechanism * basic serialization code works * extract rodfiles to its own module * rodfiles: store and compare configs * rodfiles: store dependencies * store config at the end * precise dependency tracking * dependency tracking for rodfiles * completed loading of PSym, PType, etc * removed dead code * bugfix: do not realloc seqs when taking addr into an element * make IC opt-in for now * makes tcompilerapi green again * final cleanups Co-authored-by: Andy Davidoff <github@andy.disruptek.com>
* [docs minor]space for code-block (#16266)flywind2020-12-061-1/+3
| | | | | | | | | * [docs minor]space for code-block * correct more errors * to runnableExamples * add newline
* rename: stmt -> typed and expr -> untyped (#15989)flywind2020-11-161-2/+2
| | | | | | | * stmt -> typed * expr -> untyped * minor
* Correct all eggs (#15906)Miran2020-11-101-2/+2
| | | | * "eg" is a misspelled "egg", "e.g." is "exempli gratia" * Also, "ie" is "i.e.".
* fix static[Slice[T]] as argument issue (#15842)cooldome2020-11-041-1/+1
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* explicit ID generation for easier IC (#15559)Andreas Rumpf2020-10-251-7/+11
| | | | | | | | | | | | | | | | | * refactoring: idents don't need inheritance * refactoring: adding an IdGenerator (part 1) * refactoring: adding an IdGenerator (part 2) * refactoring: adding an IdGenerator (part 3) * refactoring: adding an IdGenerator (part 4) * refactoring: adding an IdGenerator (part 5) * refactoring: adding an IdGenerator (part 5) * IdGenerator must be a ref type; hello world works again * make bootstrapping work again * progress: add back the 'exactReplica' ideas * added back the missing exactReplica hacks * make tcompilerapi work again * make important packages green * attempt to fix the build for 32 bit machines (probably need a better solution here)
* sigmatch: hotfix [backport] (#15565)Andreas Rumpf2020-10-141-2/+2
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* fix infinite recursion in typeRel (#15241)jcosborn2020-09-181-56/+59
| | | | | * fix generic constraints Co-authored-by: James Osborn <osborn@Jamess-MacBook-Pro.local>
* Big compiler Cleanup (#14777)Clyybber2020-08-281-33/+18
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* Fix #5691 (#15158)Clyybber2020-08-271-14/+12
| | | | | | | | * Fix #5691 * Cleanup and thoughts * Use scope approach * Seperate defined/declared/declaredInScope magics * Fix declaredInScope * Update spec accordingly
* fix some issues overloading with generics and inheritance (#15211)jcosborn2020-08-271-11/+34
| | | | | * fix some issues overloading with generics and inheritance * fix passing procs with subtype matches
* fix overloading issue with generic invocation (#15135)jcosborn2020-08-181-14/+1
| | | | | * fix overloading issue with generic alias * add test for inheritance depth
* Use typeflag insteadClyybber2020-08-101-2/+2
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* Make explicit {.nimcall.} a seperate calling conventionClyybber2020-08-081-2/+2
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* fix overloading case with generic alias (#15116)jcosborn2020-07-301-1/+1
| | | | | * fix overloading case with generic alias * revert reorganization of tests
* init checks and 'out' parameters (#14521)Andreas Rumpf2020-06-231-6/+6
| | | | | | | | | | | * I don't care about observable stores * enforce explicit initializations * cleaner code for the stdlib * stdlib: use explicit initializations * make tests green * algorithm.nim: set result explicitly * remove out parameters and bring the PR into a mergable state * updated the changelog
* more checking for --gc:arc, no need for valgrind (#14467)Andreas Rumpf2020-05-291-1/+5
| | | | * sigmatch: removed dead code
* change the [Processing] messages into dots (#14418)Andreas Rumpf2020-05-211-1/+1
| | | | | | | * change the [Processing] messages into dots * better implementation * maybe I should work on something else...
* fixes #14136 (#14198)Andreas Rumpf2020-05-031-3/+5
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* Make ./koch temp --gc:arc work (#14186)Clyybber2020-05-011-1/+4
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* fixes #14079 [backport:1.2] (#14163)Andreas Rumpf2020-04-291-1/+2
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* fixes #14001 (#14004)Andreas Rumpf2020-04-191-1/+1
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* fix #12864 static params were mutating arg types during sigmatch; fix #12713 ↵Timothee Cour2020-04-141-0/+1
| | | | | | | | | | | ; refs #13529 (#13976) * fix #12864 static params were mutating arg types during sigmatch * fix test * fix StaticParam * also fixes #12713; added test case
* Fix tests/parallel/tguard2.nimZahary Karadjov2020-04-011-1/+3
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* DrNim (Nim compiler with Z3 integration) (#13743)Andreas Rumpf2020-03-311-0/+2
| | | | | | | | | | | | | | | | | | | | | | | | * code cleanups and feature additions * added basic test and koch/CI integration * make it build on Unix * DrNim: now buildable on Unix, only takes 10 minutes, enjoy * added basic documentation for DrNim which can also be seen as the RFC we're following * drnim: change the build setup so that drnim.exe ends up in bin/ * makes simple floating point ranges work * added basic float range check * drnim: teach Z3 about Nim's range types plus code refactoring * drnim: make unsigned numbers work * added and fixed index checking under setLen * first implementation of .ensures, .invariant and .assume (.requires still missing and so is proc type compatibility checking * drnim: .requires checking implemented * drnim: implemented .ensures properly * more impressive test involving min() * drnim: check for proc type compatibility and base method compatibility wrt .requires and .ensures * testament: support for 'pattern <directory> * koch: uses new <directory> feature of testament * drnim: added tiny musings about 'old' * Make testament work with old SSL versions * koch: add support for 'koch drnim -d:release' * drnim: preparations for the param.old notation
* Remove dead magics (#13551)Arne Döring2020-03-031-3/+0
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* fixes #13378 [backport] (#13392)Andreas Rumpf2020-02-111-0/+2
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* fix #13182: `proc fun(a: varargs[Foo, conv])` now can be overloaded (#13345) ↵Timothee Cour2020-02-071-1/+2
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* fix range[enum] type conversion (#13204) [backport]Jasper Jenkins2020-01-201-2/+3
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* make case-object transitions explicit, make unknownLineInfo a const, replace ↵Jasper Jenkins2020-01-171-7/+7
| | | | a few magic numbers with consts (#13170)
* fixes #12964 (#13027)Andreas Rumpf2020-01-041-2/+2
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* Cosmetic compiler cleanup (#12718)Clyybber2019-11-281-213/+206
| | | | | | | | | | | | | | | | | | * Cleanup compiler code base * Unify add calls * Unify len invocations * Unify range operators * Fix oversight * Remove {.procvar.} pragma * initCandidate -> newCandidate where reasonable * Unify safeLen calls
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<pre id='vimCodeElement'>
<span class="Comment">//: Arithmetic primitives</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
ADD<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;add&quot;</span><span class="Delimiter">,</span> ADD<span class="Delimiter">);</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span class="Normal">case</span> ADD: <span class="Delimiter">{</span>
  <span class="Comment">// primary goal of these checks is to forbid address arithmetic</span>
  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span> <span class="Delimiter">{</span>
      raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'add' requires number ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
    <span class="Delimiter">}</span>
  <span class="Delimiter">}</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'add' yields exactly one product in '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'add' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="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>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span class="Normal">case</span> ADD: <span class="Delimiter">{</span>
  <span class="Normal">double</span> result = <span class="Constant">0</span><span class="Delimiter">;</span>
  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    result += ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
  <span class="Delimiter">}</span>
  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario add_literal)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>add <span class="Constant">23</span><span class="Delimiter">,</span> <span class="Constant">34</span>
]
<span class="traceContains">+mem: storing 57 in location 1</span>

<span class="Delimiter">:(scenario add)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">23</span>
  <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">34</span>
  <span class="Constant">3</span>:num<span class="Special"> &lt;- </span>add <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">2</span>:num
]
<span class="traceContains">+mem: storing 57 in location 3</span>

<span class="Delimiter">:(scenario add_multiple)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>add <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">4</span><span class="Delimiter">,</span> <span class="Constant">5</span>
]
<span class="traceContains">+mem: storing 12 in location 1</span>

<span class="Delimiter">:(scenario add_checks_type)</span>
<span class="Special">% Hide_errors = true;</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>add <span class="Constant">2</span>:<span class="Normal">bool</span><span class="Delimiter">,</span> <span class="Constant">1</span>
]
<span class="traceContains">+error: main: 'add' requires number ingredients, but got '2:bool'</span>

<span class="Delimiter">:(scenario add_checks_return_type)</span>
<span class="Special">% Hide_errors = true;</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:address:num<span class="Special"> &lt;- </span>add <span class="Constant">2</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+error: main: 'add' should yield a number, but got '1:address:num'</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
SUBTRACT<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;subtract&quot;</span><span class="Delimiter">,</span> SUBTRACT<span class="Delimiter">);</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span class="Normal">case</span> SUBTRACT: <span class="Delimiter">{</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>empty<span class="Delimiter">())</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'subtract' has no ingredients</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
    <span class="Identifier">break</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    <span class="Normal">if</span> <span class="Delimiter">(</span>is_raw<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span> <span class="Identifier">continue</span><span class="Delimiter">;</span>  <span class="Comment">// permit address offset computations in tests</span>
    <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span> <span class="Delimiter">{</span>
      raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'subtract' requires number ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
    <span class="Delimiter">}</span>
  <span class="Delimiter">}</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'subtract' yields exactly one product in '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'subtract' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="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>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span class="Normal">case</span> SUBTRACT: <span class="Delimiter">{</span>
  <span class="Normal">double</span> result = ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">1</span><span class="Delimiter">;</span>  i &lt; SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span>
    result -= ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(code)</span>
<span class="Normal">bool</span> is_raw<span class="Delimiter">(</span><span class="Normal">const</span> reagent&amp; r<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  <span class="Identifier">return</span> has_property<span class="Delimiter">(</span>r<span class="Delimiter">,</span> <span class="Constant">&quot;raw&quot;</span><span class="Delimiter">);</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario subtract_literal)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>subtract <span class="Constant">5</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+mem: storing 3 in location 1</span>

<span class="Delimiter">:(scenario subtract)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">23</span>
  <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">34</span>
  <span class="Constant">3</span>:num<span class="Special"> &lt;- </span>subtract <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">2</span>:num
]
<span class="traceContains">+mem: storing -11 in location 3</span>

<span class="Delimiter">:(scenario subtract_multiple)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>subtract <span class="Constant">6</span><span class="Delimiter">,</span> <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+mem: storing 1 in location 1</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
MULTIPLY<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;multiply&quot;</span><span class="Delimiter">,</span> MULTIPLY<span class="Delimiter">);</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span class="Normal">case</span> MULTIPLY: <span class="Delimiter">{</span>
  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span> <span class="Delimiter">{</span>
      raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'multiply' requires number ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
    <span class="Delimiter">}</span>
  <span class="Delimiter">}</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'multiply' yields exactly one product in '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'multiply' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="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>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span class="Normal">case</span> MULTIPLY: <span class="Delimiter">{</span>
  <span class="Normal">double</span> result = <span class="Constant">1</span><span class="Delimiter">;</span>
  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    result *= ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
  <span class="Delimiter">}</span>
  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario multiply_literal)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>multiply <span class="Constant">2</span><span class="Delimiter">,</span> <span class="Constant">3</span>
]
<span class="traceContains">+mem: storing 6 in location 1</span>

<span class="Delimiter">:(scenario multiply)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">4</span>
  <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">6</span>
  <span class="Constant">3</span>:num<span class="Special"> &lt;- </span>multiply <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">2</span>:num
]
<span class="traceContains">+mem: storing 24 in location 3</span>

<span class="Delimiter">:(scenario multiply_multiple)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>multiply <span class="Constant">2</span><span class="Delimiter">,</span> <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">4</span>
]
<span class="traceContains">+mem: storing 24 in location 1</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
DIVIDE<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;divide&quot;</span><span class="Delimiter">,</span> DIVIDE<span class="Delimiter">);</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span class="Normal">case</span> DIVIDE: <span class="Delimiter">{</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>empty<span class="Delimiter">())</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide' has no ingredients</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
    <span class="Identifier">break</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span> <span class="Delimiter">{</span>
      raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide' requires number ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
    <span class="Delimiter">}</span>
  <span class="Delimiter">}</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide' yields exactly one product in '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="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>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span class="Normal">case</span> DIVIDE: <span class="Delimiter">{</span>
  <span class="Normal">double</span> result = ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">1</span><span class="Delimiter">;</span>  i &lt; SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span>
    result /= ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario divide_literal)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>divide <span class="Constant">8</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+mem: storing 4 in location 1</span>

<span class="Delimiter">:(scenario divide)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">27</span>
  <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">3</span>
  <span class="Constant">3</span>:num<span class="Special"> &lt;- </span>divide <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">2</span>:num
]
<span class="traceContains">+mem: storing 9 in location 3</span>

<span class="Delimiter">:(scenario divide_multiple)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>divide <span class="Constant">12</span><span class="Delimiter">,</span> <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+mem: storing 2 in location 1</span>

<span class="Comment">//: Integer division</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
DIVIDE_WITH_REMAINDER<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;divide-with-remainder&quot;</span><span class="Delimiter">,</span> DIVIDE_WITH_REMAINDER<span class="Delimiter">);</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span class="Normal">case</span> DIVIDE_WITH_REMAINDER: <span class="Delimiter">{</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide-with-remainder' requires exactly two ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> || !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide-with-remainder' requires number ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide-with-remainder' yields two products in '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    <span class="Normal">if</span> <span class="Delimiter">(</span>!is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span> <span class="Delimiter">{</span>
      raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'divide-with-remainder' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
      <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
    <span class="Delimiter">}</span>
  <span class="Delimiter">}</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span class="Normal">case</span> DIVIDE_WITH_REMAINDER: <span class="Delimiter">{</span>
  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">2</span><span class="Delimiter">);</span>
  <span class="Normal">int</span> a = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  <span class="Normal">int</span> b = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>b == <span class="Constant">0</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>current_recipe_name<span class="Delimiter">())</span> &lt;&lt; <span class="Constant">&quot;divide by zero in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>current_instruction<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>
    products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">2</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><span class="Constant">0</span><span class="Delimiter">);</span>
    products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
    <span class="Identifier">break</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  <span class="Normal">int</span> quotient = a / b<span class="Delimiter">;</span>
  <span class="Normal">int</span> remainder = a % b<span class="Delimiter">;</span>
  <span class="Comment">// very large integers will lose precision</span>
  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>quotient<span class="Delimiter">);</span>
  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>remainder<span class="Delimiter">);</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario divide_with_remainder_literal)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>divide-with-remainder <span class="Constant">9</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+mem: storing 4 in location 1</span>
<span class="traceContains">+mem: storing 1 in location 2</span>

<span class="Delimiter">:(scenario divide_with_remainder)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">27</span>
  <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>copy <span class="Constant">11</span>
  <span class="Constant">3</span>:num<span class="Delimiter">,</span> <span class="Constant">4</span>:num<span class="Special"> &lt;- </span>divide-with-remainder <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">2</span>:num
]
<span class="traceContains">+mem: storing 2 in location 3</span>
<span class="traceContains">+mem: storing 5 in location 4</span>

<span class="Delimiter">:(scenario divide_with_decimal_point)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>divide <span class="Constant">5</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+mem: storing 2.5 in location 1</span>

<span class="Delimiter">:(scenario divide_by_zero)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>divide <span class="Constant">4</span><span class="Delimiter">,</span> <span class="Constant">0</span>
]
<span class="traceContains">+mem: storing inf in location 1</span>

<span class="Delimiter">:(scenario divide_by_zero_2)</span>
<span class="Special">% Hide_errors = true;</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>divide-with-remainder <span class="Constant">4</span><span class="Delimiter">,</span> <span class="Constant">0</span>
]
<span class="Comment"># integer division can't return floating-point infinity</span>
<span class="traceContains">+error: main: divide by zero in '1:num &lt;- divide-with-remainder 4, 0'</span>

<span class="Comment">//: Bitwise shifts</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
SHIFT_LEFT<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;shift-left&quot;</span><span class="Delimiter">,</span> SHIFT_LEFT<span class="Delimiter">);</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span class="Normal">case</span> SHIFT_LEFT: <span class="Delimiter">{</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-left' requires exactly two ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> || !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-left' requires number ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-left' yields one product in '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-left' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
    <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span class="Normal">case</span> SHIFT_LEFT: <span class="Delimiter">{</span>
  <span class="Comment">// ingredients must be integers</span>
  <span class="Normal">int</span> a = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  <span class="Normal">int</span> b = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>b &lt; <span class="Constant">0</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>current_recipe_name<span class="Delimiter">())</span> &lt;&lt; <span class="Constant">&quot;second ingredient can't be negative in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>current_instruction<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>
    products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
    <span class="Identifier">break</span><span class="Delimiter">;</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>a&lt;&lt;b<span class="Delimiter">);</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario shift_left_by_zero)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-left <span class="Constant">1</span><span class="Delimiter">,</span> <span class="Constant">0</span>
]
<span class="traceContains">+mem: storing 1 in location 1</span>

<span class="Delimiter">:(scenario shift_left_1)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-left <span class="Constant">1</span><span class="Delimiter">,</span> <span class="Constant">4</span>
]
<span class="traceContains">+mem: storing 16 in location 1</span>

<span class="Delimiter">:(scenario shift_left_2)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-left <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+mem: storing 12 in location 1</span>

<span class="Delimiter">:(scenario shift_left_by_negative)</span>
<span class="Special">% Hide_errors = true;</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-left <span class="Constant">3</span><span class="Delimiter">,</span> -<span class="Constant">1</span>
]
<span class="traceContains">+error: main: second ingredient can't be negative in '1:num &lt;- shift-left 3, -1'</span>

<span class="Delimiter">:(scenario shift_left_ignores_fractional_part)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>divide <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">2</span>
  <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>shift-left <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">1</span>
]
<span class="traceContains">+mem: storing 2 in location 2</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
SHIFT_RIGHT<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;shift-right&quot;</span><span class="Delimiter">,</span> SHIFT_RIGHT<span class="Delimiter">);</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span class="Normal">case</span> SHIFT_RIGHT: <span class="Delimiter">{</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-right' requires exactly two ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> || !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-right' requires number ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-right' yields one product in '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'shift-right' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
    <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span class="Normal">case</span> SHIFT_RIGHT: <span class="Delimiter">{</span>
  <span class="Comment">// ingredients must be integers</span>
  <span class="Normal">int</span> a = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  <span class="Normal">int</span> b = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>b &lt; <span class="Constant">0</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>current_recipe_name<span class="Delimiter">())</span> &lt;&lt; <span class="Constant">&quot;second ingredient can't be negative in '&quot;</span> &lt;&lt; to_original_string<span class="Delimiter">(</span>current_instruction<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>
    products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
    <span class="Identifier">break</span><span class="Delimiter">;</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>a&gt;&gt;b<span class="Delimiter">);</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario shift_right_by_zero)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-right <span class="Constant">1</span><span class="Delimiter">,</span> <span class="Constant">0</span>
]
<span class="traceContains">+mem: storing 1 in location 1</span>

<span class="Delimiter">:(scenario shift_right_1)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-right <span class="Constant">1024</span><span class="Delimiter">,</span> <span class="Constant">1</span>
]
<span class="traceContains">+mem: storing 512 in location 1</span>

<span class="Delimiter">:(scenario shift_right_2)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-right <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">1</span>
]
<span class="traceContains">+mem: storing 1 in location 1</span>

<span class="Delimiter">:(scenario shift_right_by_negative)</span>
<span class="Special">% Hide_errors = true;</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>shift-right <span class="Constant">4</span><span class="Delimiter">,</span> -<span class="Constant">1</span>
]
<span class="traceContains">+error: main: second ingredient can't be negative in '1:num &lt;- shift-right 4, -1'</span>

<span class="Delimiter">:(scenario shift_right_ignores_fractional_part)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>divide <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">2</span>
  <span class="Constant">2</span>:num<span class="Special"> &lt;- </span>shift-right <span class="Constant">1</span>:num<span class="Delimiter">,</span> <span class="Constant">1</span>
]
<span class="traceContains">+mem: storing 0 in location 2</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
AND_BITS<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;and-bits&quot;</span><span class="Delimiter">,</span> AND_BITS<span class="Delimiter">);</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span class="Normal">case</span> AND_BITS: <span class="Delimiter">{</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'and-bits' requires exactly two ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> || !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'and-bits' requires number ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'and-bits' yields one product in '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'and-bits' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
    <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span class="Normal">case</span> AND_BITS: <span class="Delimiter">{</span>
  <span class="Comment">// ingredients must be integers</span>
  <span class="Normal">int</span> a = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  <span class="Normal">int</span> b = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  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>a&amp;b<span class="Delimiter">);</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario and_bits_1)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">and</span>-bits <span class="Constant">8</span><span class="Delimiter">,</span> <span class="Constant">3</span>
]
<span class="traceContains">+mem: storing 0 in location 1</span>

<span class="Delimiter">:(scenario and_bits_2)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">and</span>-bits <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+mem: storing 2 in location 1</span>

<span class="Delimiter">:(scenario and_bits_3)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">and</span>-bits <span class="Constant">14</span><span class="Delimiter">,</span> <span class="Constant">3</span>
]
<span class="traceContains">+mem: storing 2 in location 1</span>

<span class="Delimiter">:(scenario and_bits_negative)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">and</span>-bits -<span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">4</span>
]
<span class="traceContains">+mem: storing 4 in location 1</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
OR_BITS<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;or-bits&quot;</span><span class="Delimiter">,</span> OR_BITS<span class="Delimiter">);</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span class="Normal">case</span> OR_BITS: <span class="Delimiter">{</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'or-bits' requires exactly two ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> || !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'or-bits' requires number ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'or-bits' yields one product in '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'or-bits' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
    <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span class="Normal">case</span> OR_BITS: <span class="Delimiter">{</span>
  <span class="Comment">// ingredients must be integers</span>
  <span class="Normal">int</span> a = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  <span class="Normal">int</span> b = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  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>a|b<span class="Delimiter">);</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario or_bits_1)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">or</span>-bits <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">8</span>
]
<span class="traceContains">+mem: storing 11 in location 1</span>

<span class="Delimiter">:(scenario or_bits_2)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">or</span>-bits <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">10</span>
]
<span class="traceContains">+mem: storing 11 in location 1</span>

<span class="Delimiter">:(scenario or_bits_3)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">or</span>-bits <span class="Constant">4</span><span class="Delimiter">,</span> <span class="Constant">6</span>
]
<span class="traceContains">+mem: storing 6 in location 1</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
XOR_BITS<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;xor-bits&quot;</span><span class="Delimiter">,</span> XOR_BITS<span class="Delimiter">);</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span class="Normal">case</span> XOR_BITS: <span class="Delimiter">{</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'xor-bits' requires exactly two ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> || !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'xor-bits' requires number ingredients, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'xor-bits' yields one product in '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'xor-bits' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
    <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span class="Normal">case</span> XOR_BITS: <span class="Delimiter">{</span>
  <span class="Comment">// ingredients must be integers</span>
  <span class="Normal">int</span> a = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  <span class="Normal">int</span> b = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  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>a^b<span class="Delimiter">);</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario xor_bits_1)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">xor</span>-bits <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">8</span>
]
<span class="traceContains">+mem: storing 11 in location 1</span>

<span class="Delimiter">:(scenario xor_bits_2)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">xor</span>-bits <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">10</span>
]
<span class="traceContains">+mem: storing 9 in location 1</span>

<span class="Delimiter">:(scenario xor_bits_3)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span><span class="Normal">xor</span>-bits <span class="Constant">4</span><span class="Delimiter">,</span> <span class="Constant">6</span>
]
<span class="traceContains">+mem: storing 2 in location 1</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
FLIP_BITS<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;flip-bits&quot;</span><span class="Delimiter">,</span> FLIP_BITS<span class="Delimiter">);</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span class="Normal">case</span> FLIP_BITS: <span class="Delimiter">{</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'flip-bits' requires exactly one ingredient, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'flip-bits' requires a number ingredient, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'flip-bits' yields one product in '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_dummy<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> &amp;&amp; !is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'flip-bits' should yield a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
    <span class="Identifier">goto</span> finish_checking_instruction<span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span class="Normal">case</span> FLIP_BITS: <span class="Delimiter">{</span>
  <span class="Comment">// ingredient must be integer</span>
  <span class="Normal">int</span> a = <span class="Normal">static_cast</span>&lt;<span class="Normal">int</span>&gt;<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
  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>~a<span class="Delimiter">);</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario flip_bits_zero)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>flip-bits <span class="Constant">0</span>
]
<span class="traceContains">+mem: storing -1 in location 1</span>

<span class="Delimiter">:(scenario flip_bits_negative)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>flip-bits -<span class="Constant">1</span>
]
<span class="traceContains">+mem: storing 0 in location 1</span>

<span class="Delimiter">:(scenario flip_bits_1)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>flip-bits <span class="Constant">3</span>
]
<span class="traceContains">+mem: storing -4 in location 1</span>

<span class="Delimiter">:(scenario flip_bits_2)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>flip-bits <span class="Constant">12</span>
]
<span class="traceContains">+mem: storing -13 in location 1</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
ROUND<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;round&quot;</span><span class="Delimiter">,</span> ROUND<span class="Delimiter">);</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span class="Normal">case</span> ROUND: <span class="Delimiter">{</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'round' requires exactly one ingredient, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;first ingredient of 'round' should be a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'</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>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span class="Normal">case</span> ROUND: <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>rint<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)));</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario round_to_nearest_integer)</span>
<span class="muRecipe">def</span> main [
  <span class="Constant">1</span>:num<span class="Special"> &lt;- </span>round <span class="Constant">12.2</span>
]
<span class="traceContains">+mem: storing 12 in location 1</span>

<span class="Delimiter">:(before &quot;End Primitive Recipe Declarations&quot;)</span>
CHARACTER_TO_CODE<span class="Delimiter">,</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Numbers&quot;)</span>
put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> <span class="Constant">&quot;character-to-code&quot;</span><span class="Delimiter">,</span> CHARACTER_TO_CODE<span class="Delimiter">);</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Checks&quot;)</span>
<span class="Normal">case</span> CHARACTER_TO_CODE: <span class="Delimiter">{</span>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'character-to-code' requires exactly one ingredient, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_character<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;first ingredient of 'character-to-code' should be a character, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'</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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> != <span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;'character-to-code' requires exactly one product, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>original_string &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>
  <span class="Normal">if</span> <span class="Delimiter">(</span>!is_mu_number<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)))</span> <span class="Delimiter">{</span>
    raise &lt;&lt; maybe<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">).</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;first product of 'character-to-code' should be a number, but got '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>original_string &lt;&lt; <span class="Constant">&quot;'</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>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(before &quot;End Primitive Recipe Implementations&quot;)</span>
<span class="Normal">case</span> CHARACTER_TO_CODE: <span class="Delimiter">{</span>
  <span class="Normal">double</span> result = <span class="Constant">0</span><span class="Delimiter">;</span>
  <span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span>  i &lt; SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span>  ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    result += ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
  <span class="Delimiter">}</span>
  products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
  products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
  <span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(before &quot;End Includes&quot;)</span>
<span class="PreProc">#include </span><span class="Constant">&lt;math.h&gt;</span>
</pre>
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<!-- vim: set foldmethod=manual : -->