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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd">
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<title>Mu - nqueens.mu</title>
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<pre id='vimCodeElement'>
<span class="Comment"># <a href="http://rosettacode.org/wiki/N-queens_problem">http://rosettacode.org/wiki/N-queens_problem</a></span>
<span class="Comment"># port of the Arc solution at <a href="http://arclanguage.org/item?id=19743">http://arclanguage.org/item?id=19743</a></span>
<span class="Comment"># run with tracing turned on:</span>
<span class="Comment">#   ./mu --trace nqueens.mu</span>

<span class="muData">container</span> square [
  rank:num
  file:num
]

<span class="muRecipe">def</span> nqueens n:num, queens:&amp;:list:square<span class="muRecipe"> -&gt; </span>result:num [
  <span class="Constant">local-scope</span>
  <span class="Constant">load-ingredients</span>
  <span class="Comment"># if 'queens' is already long enough, print it and return</span>
  added-so-far:num <span class="Special">&lt;-</span> length queens
  <span class="Delimiter">{</span>
    done?:bool <span class="Special">&lt;-</span> greater-or-equal added-so-far, n
    <span class="muControl">break-unless</span> done?
    stash queens
    <span class="muControl">return</span><span class="Constant"> 1</span>
  <span class="Delimiter">}</span>
  <span class="Comment"># still work to do</span>
  next-rank:num <span class="Special">&lt;-</span> copy<span class="Constant"> 0</span>
  <span class="Delimiter">{</span>
    <span class="muControl">break-unless</span> queens
    first:square <span class="Special">&lt;-</span> first queens
    existing-rank:num <span class="Special">&lt;-</span> get first, <span class="Constant">rank:offset</span>
    next-rank <span class="Special">&lt;-</span> add existing-rank,<span class="Constant"> 1</span>
  <span class="Delimiter">}</span>
  result <span class="Special">&lt;-</span> copy<span class="Constant"> 0</span>
  next-file:num <span class="Special">&lt;-</span> copy<span class="Constant"> 0</span>
  <span class="Delimiter">{</span>
    done?:bool <span class="Special">&lt;-</span> greater-or-equal next-file, n
    <span class="muControl">break-if</span> done?
    curr:square <span class="Special">&lt;-</span> merge next-rank, next-file
    <span class="Delimiter">{</span>
      curr-conflicts?:bool <span class="Special">&lt;-</span> conflict? curr, queens
      <span class="muControl">break-if</span> curr-conflicts?
      new-queens:&amp;:list:square <span class="Special">&lt;-</span> push curr, queens
      sub-result:num <span class="Special">&lt;-</span> nqueens n, new-queens
      result <span class="Special">&lt;-</span> add result, sub-result
    <span class="Delimiter">}</span>
    next-file <span class="Special">&lt;-</span> add next-file,<span class="Constant"> 1</span>
    <span class="muControl">loop</span>
  <span class="Delimiter">}</span>
]

<span class="muRecipe">def</span> conflict? curr:square, queens:&amp;:list:square<span class="muRecipe"> -&gt; </span>result:bool [
  <span class="Constant">local-scope</span>
  <span class="Constant">load-ingredients</span>
  result1:bool <span class="Special">&lt;-</span> conflicting-file? curr, queens
  <span class="muControl">reply-if</span> result1, result1
  result2:bool <span class="Special">&lt;-</span> conflicting-diagonal? curr, queens
  <span class="muControl">reply</span> result2
]

<span class="muRecipe">def</span> conflicting-file? curr:square, queens:&amp;:list:square<span class="muRecipe"> -&gt; </span>result:bool [
  <span class="Constant">local-scope</span>
  <span class="Constant">load-ingredients</span>
  curr-file:num <span class="Special">&lt;-</span> get curr, <span class="Constant">file:offset</span>
  <span class="Delimiter">{</span>
    <span class="muControl">break-unless</span> queens
    q:square <span class="Special">&lt;-</span> first queens
    qfile:num <span class="Special">&lt;-</span> get q, <span class="Constant">file:offset</span>
    file-match?:bool <span class="Special">&lt;-</span> equal curr-file, qfile
    <span class="muControl">reply-if</span> file-match?, <span class="Constant">1/conflict-found</span>
    queens <span class="Special">&lt;-</span> rest queens
    <span class="muControl">loop</span>
  <span class="Delimiter">}</span>
  <span class="muControl">reply</span> <span class="Constant">0/no-conflict-found</span>
]

<span class="muRecipe">def</span> conflicting-diagonal? curr:square, queens:&amp;:list:square<span class="muRecipe"> -&gt; </span>result:bool [
  <span class="Constant">local-scope</span>
  <span class="Constant">load-ingredients</span>
  curr-rank:num <span class="Special">&lt;-</span> get curr, <span class="Constant">rank:offset</span>
  curr-file:num <span class="Special">&lt;-</span> get curr, <span class="Constant">file:offset</span>
  <span class="Delimiter">{</span>
    <span class="muControl">break-unless</span> queens
    q:square <span class="Special">&lt;-</span> first queens
    qrank:num <span class="Special">&lt;-</span> get q, <span class="Constant">rank:offset</span>
    qfile:num <span class="Special">&lt;-</span> get q, <span class="Constant">file:offset</span>
    rank-delta:num <span class="Special">&lt;-</span> subtract qrank, curr-rank
    file-delta:num <span class="Special">&lt;-</span> subtract qfile, curr-file
    rank-delta <span class="Special">&lt;-</span> abs rank-delta
    file-delta <span class="Special">&lt;-</span> abs file-delta
    diagonal-match?:bool <span class="Special">&lt;-</span> equal rank-delta, file-delta
    <span class="muControl">reply-if</span> diagonal-match?, <span class="Constant">1/conflict-found</span>
    queens <span class="Special">&lt;-</span> rest queens
    <span class="muControl">loop</span>
  <span class="Delimiter">}</span>
  <span class="muControl">reply</span> <span class="Constant">0/no-conflict-found</span>
]

<span class="muRecipe">def</span> main [
  nqueens<span class="Constant"> 4</span>
  $dump-trace <span class="Constant">[app]</span>
]
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