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You can run ranger without installing by simply starting the executable
file ranger.py in the top directory of this package.


To install ranger, follow this instructions:

0. Make sure you have a recent version of python, including the
   curses module, which is the case if this shell command prints no errors:
   python -c 'import curses'


1. Copy the file "ranger.py" into any of the directories in the PATH
   environment variable, for example to "/usr/bin/ranger"


2. Copy the directory "ranger" into one of the python module search
   paths, for example to "/usr/lib/python2.6/site-packages/ranger".

   Ensure that the path is listed by the command:
   python -c 'import sys; print("\n".join(sys.path))'


3. Optionally, you can activate an extra feature: When you exit ranger,
   the directory of the current shell can be changed to the last visited
   directory in ranger.  To do so, add this alias to your shell rc file:

   alias rng="source ranger ranger"

   (Unfortunately this feature is shell dependent.  It has been
   successfully tested with BASH only.)
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<a href='https://github.com/akkartik/mu/blob/main/apps/mandelbrot-fixed.mu'>https://github.com/akkartik/mu/blob/main/apps/mandelbrot-fixed.mu</a>
<pre id='vimCodeElement'>
<span id="L1" class="LineNr">  1 </span><span class="muComment"># Mandelbrot set using fixed-point numbers.</span>
<span id="L2" class="LineNr">  2 </span><span class="muComment">#</span>
<span id="L3" class="LineNr">  3 </span><span class="muComment"># Install:</span>
<span id="L4" class="LineNr">  4 </span><span class="muComment">#   $ git clone <a href="https://github.com/akkartik/mu">https://github.com/akkartik/mu</a></span>
<span id="L5" class="LineNr">  5 </span><span class="muComment">#   $ cd mu</span>
<span id="L6" class="LineNr">  6 </span><span class="muComment"># Build on Linux:</span>
<span id="L7" class="LineNr">  7 </span><span class="muComment">#   $ ./translate apps/mandelbrot-fixed.mu</span>
<span id="L8" class="LineNr">  8 </span><span class="muComment"># Build on other platforms (slow):</span>
<span id="L9" class="LineNr">  9 </span><span class="muComment">#   $ ./translate_emulated apps/mandelbrot-fixed.mu</span>
<span id="L10" class="LineNr"> 10 </span><span class="muComment"># Run:</span>
<span id="L11" class="LineNr"> 11 </span><span class="muComment">#   $ qemu-system-i386 code.img</span>
<span id="L12" class="LineNr"> 12 </span>
<span id="L13" class="LineNr"> 13 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L13'>main</a></span> <a href='../500fake-screen.mu.html#L14'>screen</a>: (addr <a href='../500fake-screen.mu.html#L14'>screen</a>), keyboard: (addr keyboard), data-disk: (addr disk) <span class="Delimiter">{</span>
<span id="L14" class="LineNr"> 14 </span>  <span class="muComment"># Initially the viewport is centered at 0, 0 in the scene.</span>
<span id="L15" class="LineNr"> 15 </span>  <span class="PreProc">var</span> scene-cx-f: int
<span id="L16" class="LineNr"> 16 </span>  <span class="PreProc">var</span> scene-cy-f: int
<span id="L17" class="LineNr"> 17 </span>  <span class="muComment"># Initially the viewport shows a section of the scene 4 units wide.</span>
<span id="L18" class="LineNr"> 18 </span>  <span class="PreProc">var</span> scene-width-f: int
<span id="L19" class="LineNr"> 19 </span>  copy-to scene-width-f, <span class="Constant">0x400</span>/<span class="Constant">4</span>
<span id="L20" class="LineNr"> 20 </span>  <span class="Delimiter">{</span>
<span id="L21" class="LineNr"> 21 </span>    <a href='mandelbrot-fixed.mu.html#L127'>mandelbrot</a> <a href='../500fake-screen.mu.html#L14'>screen</a> scene-cx-f, scene-cy-f, scene-width-f
<span id="L22" class="LineNr"> 22 </span>    <span class="muComment"># move at an angle slowly towards the edge</span>
<span id="L23" class="LineNr"> 23 </span>    <span class="PreProc">var</span> adj-f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L100'>multiply-fixed</a> scene-width-f, <span class="Constant">0x12</span>/<span class="Constant">0</span>.<span class="Constant">07</span>
<span id="L24" class="LineNr"> 24 </span>    subtract-from scene-cx-f, adj-f
<span id="L25" class="LineNr"> 25 </span>    add-to scene-cy-f, adj-f
<span id="L26" class="LineNr"> 26 </span>    <span class="muComment"># slowly shrink the scene width to zoom in</span>
<span id="L27" class="LineNr"> 27 </span>    <span class="PreProc">var</span> tmp-f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L100'>multiply-fixed</a> scene-width-f, <span class="Constant">0x80</span>/<span class="Constant">0</span>.<span class="Constant">5</span>
<span id="L28" class="LineNr"> 28 </span>    copy-to scene-width-f, tmp-f
<span id="L29" class="LineNr"> 29 </span>    <span class="PreProc">loop</span>
<span id="L30" class="LineNr"> 30 </span>  <span class="Delimiter">}</span>
<span id="L31" class="LineNr"> 31 </span><span class="Delimiter">}</span>
<span id="L32" class="LineNr"> 32 </span>
<span id="L33" class="LineNr"> 33 </span><span class="muComment"># Since they still look like int types, we'll append a '-f' suffix to variable</span>
<span id="L34" class="LineNr"> 34 </span><span class="muComment"># names to designate fixed-point numbers.</span>
<span id="L35" class="LineNr"> 35 </span>
<span id="L36" class="LineNr"> 36 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L36'>int-to-fixed</a></span> in: int<span class="PreProc"> -&gt; </span>_/eax: int <span class="Delimiter">{</span>
<span id="L37" class="LineNr"> 37 </span>  <span class="PreProc">var</span> result-f/eax: int <span class="Special">&lt;-</span> copy in
<span id="L38" class="LineNr"> 38 </span>  result-f <span class="Special">&lt;-</span> shift-left <span class="Constant">8</span>/fixed-precision
<span id="L39" class="LineNr"> 39 </span>  <span class="Delimiter">{</span>
<span id="L40" class="LineNr"> 40 </span>    <span class="PreProc">break-if-not-overflow</span>
<span id="L41" class="LineNr"> 41 </span>    <a href='../317abort.subx.html#L5'>abort</a> <span class="Constant">&quot;int-to-fixed: overflow&quot;</span>
<span id="L42" class="LineNr"> 42 </span>  <span class="Delimiter">}</span>
<span id="L43" class="LineNr"> 43 </span>  <span class="PreProc">return</span> result-f
<span id="L44" class="LineNr"> 44 </span><span class="Delimiter">}</span>
<span id="L45" class="LineNr"> 45 </span>
<span id="L46" class="LineNr"> 46 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L46'>fixed-to-int</a></span> in-f: int<span class="PreProc"> -&gt; </span>_/eax: int <span class="Delimiter">{</span>
<span id="L47" class="LineNr"> 47 </span>  <span class="PreProc">var</span> result/eax: int <span class="Special">&lt;-</span> copy in-f
<span id="L48" class="LineNr"> 48 </span>  result <span class="Special">&lt;-</span> shift-right-signed <span class="Constant">8</span>/fixed-precision
<span id="L49" class="LineNr"> 49 </span>  <span class="PreProc">return</span> result
<span id="L50" class="LineNr"> 50 </span><span class="Delimiter">}</span>
<span id="L51" class="LineNr"> 51 </span>
<span id="L52" class="LineNr"> 52 </span><span class="muComment"># The process of throwing bits away always adjusts a number towards -infinity.</span>
<span id="L53" class="LineNr"> 53 </span><span class="PreProc">fn</span> <span class="muTest"><a href='mandelbrot-fixed.mu.html#L53'>test-fixed-conversion</a></span> <span class="Delimiter">{</span>
<span id="L54" class="LineNr"> 54 </span>  <span class="muComment"># 0</span>
<span id="L55" class="LineNr"> 55 </span>  <span class="PreProc">var</span> f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L36'>int-to-fixed</a> <span class="Constant">0</span>
<span id="L56" class="LineNr"> 56 </span>  <span class="PreProc">var</span> result/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L46'>fixed-to-int</a> f
<span id="L57" class="LineNr"> 57 </span>  <a href='../502test.mu.html#L2'>check-ints-equal</a> result, <span class="Constant">0</span>, <span class="Constant">&quot;F - <a href='mandelbrot-fixed.mu.html#L53'>test-fixed-conversion</a> - 0&quot;</span>
<span id="L58" class="LineNr"> 58 </span>  <span class="muComment"># 1</span>
<span id="L59" class="LineNr"> 59 </span>  <span class="PreProc">var</span> f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L36'>int-to-fixed</a> <span class="Constant">1</span>
<span id="L60" class="LineNr"> 60 </span>  <span class="PreProc">var</span> result/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L46'>fixed-to-int</a> f
<span id="L61" class="LineNr"> 61 </span>  <a href='../502test.mu.html#L2'>check-ints-equal</a> result, <span class="Constant">1</span>, <span class="Constant">&quot;F - <a href='mandelbrot-fixed.mu.html#L53'>test-fixed-conversion</a> - 1&quot;</span>
<span id="L62" class="LineNr"> 62 </span>  <span class="muComment"># -1</span>
<span id="L63" class="LineNr"> 63 </span>  <span class="PreProc">var</span> f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L36'>int-to-fixed</a> <span class="Constant">-1</span>
<span id="L64" class="LineNr"> 64 </span>  <span class="PreProc">var</span> result/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L46'>fixed-to-int</a> f
<span id="L65" class="LineNr"> 65 </span>  <a href='../502test.mu.html#L2'>check-ints-equal</a> result, <span class="Constant">-1</span>, <span class="Constant">&quot;F - <a href='mandelbrot-fixed.mu.html#L53'>test-fixed-conversion</a> - -1&quot;</span>
<span id="L66" class="LineNr"> 66 </span>  <span class="muComment"># 0.5 = 1/2</span>
<span id="L67" class="LineNr"> 67 </span>  <span class="PreProc">var</span> f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L36'>int-to-fixed</a> <span class="Constant">1</span>
<span id="L68" class="LineNr"> 68 </span>  f <span class="Special">&lt;-</span> shift-right-signed <span class="Constant">1</span>
<span id="L69" class="LineNr"> 69 </span>  <span class="PreProc">var</span> result/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L46'>fixed-to-int</a> f
<span id="L70" class="LineNr"> 70 </span>  <a href='../502test.mu.html#L2'>check-ints-equal</a> result, <span class="Constant">0</span>, <span class="Constant">&quot;F - <a href='mandelbrot-fixed.mu.html#L53'>test-fixed-conversion</a> - 0.5&quot;</span>
<span id="L71" class="LineNr"> 71 </span>  <span class="muComment"># -0.5 = -1/2</span>
<span id="L72" class="LineNr"> 72 </span>  <span class="PreProc">var</span> f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L36'>int-to-fixed</a> <span class="Constant">-1</span>
<span id="L73" class="LineNr"> 73 </span>  f <span class="Special">&lt;-</span> shift-right-signed <span class="Constant">1</span>
<span id="L74" class="LineNr"> 74 </span>  <span class="PreProc">var</span> result/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L46'>fixed-to-int</a> f
<span id="L75" class="LineNr"> 75 </span>  <a href='../502test.mu.html#L2'>check-ints-equal</a> result, <span class="Constant">-1</span>, <span class="Constant">&quot;F - <a href='mandelbrot-fixed.mu.html#L53'>test-fixed-conversion</a> - -0.5&quot;</span>
<span id="L76" class="LineNr"> 76 </span>  <span class="muComment"># 1.5 = 3/2</span>
<span id="L77" class="LineNr"> 77 </span>  <span class="PreProc">var</span> f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L36'>int-to-fixed</a> <span class="Constant">3</span>
<span id="L78" class="LineNr"> 78 </span>  f <span class="Special">&lt;-</span> shift-right-signed <span class="Constant">1</span>
<span id="L79" class="LineNr"> 79 </span>  <span class="PreProc">var</span> result/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L46'>fixed-to-int</a> f
<span id="L80" class="LineNr"> 80 </span>  <a href='../502test.mu.html#L2'>check-ints-equal</a> result, <span class="Constant">1</span>, <span class="Constant">&quot;F - <a href='mandelbrot-fixed.mu.html#L53'>test-fixed-conversion</a> - 1.5&quot;</span>
<span id="L81" class="LineNr"> 81 </span>  <span class="muComment"># -1.5 = -3/2</span>
<span id="L82" class="LineNr"> 82 </span>  <span class="PreProc">var</span> f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L36'>int-to-fixed</a> <span class="Constant">-3</span>
<span id="L83" class="LineNr"> 83 </span>  f <span class="Special">&lt;-</span> shift-right-signed <span class="Constant">1</span>
<span id="L84" class="LineNr"> 84 </span>  <span class="PreProc">var</span> result/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L46'>fixed-to-int</a> f
<span id="L85" class="LineNr"> 85 </span>  <a href='../502test.mu.html#L2'>check-ints-equal</a> result, <span class="Constant">-2</span>, <span class="Constant">&quot;F - <a href='mandelbrot-fixed.mu.html#L53'>test-fixed-conversion</a> - -1.5&quot;</span>
<span id="L86" class="LineNr"> 86 </span>  <span class="muComment"># 1.25 = 5/4</span>
<span id="L87" class="LineNr"> 87 </span>  <span class="PreProc">var</span> f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L36'>int-to-fixed</a> <span class="Constant">5</span>
<span id="L88" class="LineNr"> 88 </span>  f <span class="Special">&lt;-</span> shift-right-signed <span class="Constant">2</span>
<span id="L89" class="LineNr"> 89 </span>  <span class="PreProc">var</span> result/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L46'>fixed-to-int</a> f
<span id="L90" class="LineNr"> 90 </span>  <a href='../502test.mu.html#L2'>check-ints-equal</a> result, <span class="Constant">1</span>, <span class="Constant">&quot;F - <a href='mandelbrot-fixed.mu.html#L53'>test-fixed-conversion</a> - 1.25&quot;</span>
<span id="L91" class="LineNr"> 91 </span>  <span class="muComment"># -1.25 = -5/4</span>
<span id="L92" class="LineNr"> 92 </span>  <span class="PreProc">var</span> f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L36'>int-to-fixed</a> <span class="Constant">-5</span>
<span id="L93" class="LineNr"> 93 </span>  f <span class="Special">&lt;-</span> shift-right-signed <span class="Constant">2</span>
<span id="L94" class="LineNr"> 94 </span>  <span class="PreProc">var</span> result/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L46'>fixed-to-int</a> f
<span id="L95" class="LineNr"> 95 </span>  <a href='../502test.mu.html#L2'>check-ints-equal</a> result, <span class="Constant">-2</span>, <span class="Constant">&quot;F - <a href='mandelbrot-fixed.mu.html#L53'>test-fixed-conversion</a> - -1.25&quot;</span>
<span id="L96" class="LineNr"> 96 </span><span class="Delimiter">}</span>
<span id="L97" class="LineNr"> 97 </span>
<span id="L98" class="LineNr"> 98 </span><span class="muComment"># special routines for multiplying and dividing fixed-point numbers</span>
<span id="L99" class="LineNr"> 99 </span>
<span id="L100" class="LineNr">100 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L100'>multiply-fixed</a></span> a-f: int, b-f: int<span class="PreProc"> -&gt; </span>_/eax: int <span class="Delimiter">{</span>
<span id="L101" class="LineNr">101 </span>  <span class="PreProc">var</span> result/eax: int <span class="Special">&lt;-</span> copy a-f
<span id="L102" class="LineNr">102 </span>  result <span class="Special">&lt;-</span> multiply b-f
<span id="L103" class="LineNr">103 </span>  <span class="Delimiter">{</span>
<span id="L104" class="LineNr">104 </span>    <span class="PreProc">break-if-not-overflow</span>
<span id="L105" class="LineNr">105 </span>    <a href='../317abort.subx.html#L5'>abort</a> <span class="Constant">&quot;multiply-fixed: overflow&quot;</span>
<span id="L106" class="LineNr">106 </span>  <span class="Delimiter">}</span>
<span id="L107" class="LineNr">107 </span>  result <span class="Special">&lt;-</span> shift-right-signed <span class="Constant">8</span>/fixed-precision
<span id="L108" class="LineNr">108 </span>  <span class="PreProc">return</span> result
<span id="L109" class="LineNr">109 </span><span class="Delimiter">}</span>
<span id="L110" class="LineNr">110 </span>
<span id="L111" class="LineNr">111 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L111'>divide-fixed</a></span> a-f: int, b-f: int<span class="PreProc"> -&gt; </span>_/eax: int <span class="Delimiter">{</span>
<span id="L112" class="LineNr">112 </span>  <span class="PreProc">var</span> result-f/eax: int <span class="Special">&lt;-</span> copy a-f
<span id="L113" class="LineNr">113 </span>  result-f <span class="Special">&lt;-</span> shift-left <span class="Constant">8</span>/fixed-precision
<span id="L114" class="LineNr">114 </span>  <span class="Delimiter">{</span>
<span id="L115" class="LineNr">115 </span>    <span class="PreProc">break-if-not-overflow</span>
<span id="L116" class="LineNr">116 </span>    <a href='../317abort.subx.html#L5'>abort</a> <span class="Constant">&quot;divide-fixed: overflow&quot;</span>
<span id="L117" class="LineNr">117 </span>  <span class="Delimiter">}</span>
<span id="L118" class="LineNr">118 </span>  <span class="PreProc">var</span> dummy-remainder/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L119" class="LineNr">119 </span>  result-f, dummy-remainder <span class="Special">&lt;-</span> <a href='../314divide.subx.html#L3'>integer-divide</a> result-f, b-f
<span id="L120" class="LineNr">120 </span>  <span class="PreProc">return</span> result-f
<span id="L121" class="LineNr">121 </span><span class="Delimiter">}</span>
<span id="L122" class="LineNr">122 </span>
<span id="L123" class="LineNr">123 </span><span class="muComment"># multiplying or dividing by an integer can use existing instructions.</span>
<span id="L124" class="LineNr">124 </span>
<span id="L125" class="LineNr">125 </span><span class="muComment"># adding and subtracting two fixed-point numbers can use existing instructions.</span>
<span id="L126" class="LineNr">126 </span>
<span id="L127" class="LineNr">127 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L127'>mandelbrot</a></span> <a href='../500fake-screen.mu.html#L14'>screen</a>: (addr <a href='../500fake-screen.mu.html#L14'>screen</a>), scene-cx-f: int, scene-cy-f: int, scene-width-f: int <span class="Delimiter">{</span>
<span id="L128" class="LineNr">128 </span>  <span class="PreProc">var</span> a/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L129" class="LineNr">129 </span>  <span class="PreProc">var</span> b/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L130" class="LineNr">130 </span>  a, b <span class="Special">&lt;-</span> <a href='../500fake-screen.mu.html#L73'>screen-size</a> <a href='../500fake-screen.mu.html#L14'>screen</a>
<span id="L131" class="LineNr">131 </span>  <span class="PreProc">var</span> width/<span class="muRegEsi">esi</span>: int <span class="Special">&lt;-</span> copy a
<span id="L132" class="LineNr">132 </span>  width <span class="Special">&lt;-</span> shift-left <span class="Constant">3</span>/log2-font-width
<span id="L133" class="LineNr">133 </span>  <span class="PreProc">var</span> height/<span class="muRegEdi">edi</span>: int <span class="Special">&lt;-</span> copy b
<span id="L134" class="LineNr">134 </span>  height <span class="Special">&lt;-</span> shift-left <span class="Constant">4</span>/log2-font-height
<span id="L135" class="LineNr">135 </span>  <span class="PreProc">var</span> y/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L136" class="LineNr">136 </span>  <span class="Delimiter">{</span>
<span id="L137" class="LineNr">137 </span>    compare y, height
<span id="L138" class="LineNr">138 </span>    <span class="PreProc">break-if-&gt;=</span>
<span id="L139" class="LineNr">139 </span>    <span class="PreProc">var</span> imaginary-f/<span class="muRegEbx">ebx</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L237'>viewport-to-imaginary-f</a> y, width, height, scene-cy-f, scene-width-f
<span id="L140" class="LineNr">140 </span>    <span class="PreProc">var</span> x/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L141" class="LineNr">141 </span>    <span class="Delimiter">{</span>
<span id="L142" class="LineNr">142 </span>      compare x, width
<span id="L143" class="LineNr">143 </span>      <span class="PreProc">break-if-&gt;=</span>
<span id="L144" class="LineNr">144 </span>      <span class="PreProc">var</span> real-f/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L219'>viewport-to-real-f</a> x, width, scene-cx-f, scene-width-f
<span id="L145" class="LineNr">145 </span>      <span class="PreProc">var</span> iterations/<span class="muRegEsi">esi</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L162'>mandelbrot-iterations-for-point</a> real-f, imaginary-f, <span class="Constant">0x400</span>/max
<span id="L146" class="LineNr">146 </span>      iterations <span class="Special">&lt;-</span> shift-right <span class="Constant">3</span>
<span id="L147" class="LineNr">147 </span>      <span class="PreProc">var</span> color/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L148" class="LineNr">148 </span>      <span class="Delimiter">{</span>
<span id="L149" class="LineNr">149 </span>        <span class="PreProc">var</span> dummy/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L150" class="LineNr">150 </span>        dummy, color <span class="Special">&lt;-</span> <a href='../314divide.subx.html#L3'>integer-divide</a> iterations, <span class="Constant">0x18</span>/<span class="Constant">24</span>/size-of-cycle-0
<span id="L151" class="LineNr">151 </span>        color <span class="Special">&lt;-</span> add <span class="Constant">0x20</span>/cycle-0
<span id="L152" class="LineNr">152 </span>      <span class="Delimiter">}</span>
<span id="L153" class="LineNr">153 </span>      <a href='../500fake-screen.mu.html#L557'>pixel</a> <a href='../500fake-screen.mu.html#L14'>screen</a>, x, y, color
<span id="L154" class="LineNr">154 </span>      x <span class="Special">&lt;-</span> increment
<span id="L155" class="LineNr">155 </span>      <span class="PreProc">loop</span>
<span id="L156" class="LineNr">156 </span>    <span class="Delimiter">}</span>
<span id="L157" class="LineNr">157 </span>    y <span class="Special">&lt;-</span> increment
<span id="L158" class="LineNr">158 </span>    <span class="PreProc">loop</span>
<span id="L159" class="LineNr">159 </span>  <span class="Delimiter">}</span>
<span id="L160" class="LineNr">160 </span><span class="Delimiter">}</span>
<span id="L161" class="LineNr">161 </span>
<span id="L162" class="LineNr">162 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L162'>mandelbrot-iterations-for-point</a></span> real-f: int, imaginary-f: int, max: int<span class="PreProc"> -&gt; </span>_/<span class="muRegEsi">esi</span>: int <span class="Delimiter">{</span>
<span id="L163" class="LineNr">163 </span>  <span class="PreProc">var</span> x-f/<span class="muRegEsi">esi</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L164" class="LineNr">164 </span>  <span class="PreProc">var</span> y-f/<span class="muRegEdi">edi</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L165" class="LineNr">165 </span>  <span class="PreProc">var</span> iterations/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L166" class="LineNr">166 </span>  <span class="Delimiter">{</span>
<span id="L167" class="LineNr">167 </span>    <span class="PreProc">var</span> done?/eax: boolean <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L182'>mandelbrot-done?</a> x-f, y-f
<span id="L168" class="LineNr">168 </span>    compare done?, <span class="Constant">0</span>/false
<span id="L169" class="LineNr">169 </span>    <span class="PreProc">break-if-!=</span>
<span id="L170" class="LineNr">170 </span>    compare iterations, max
<span id="L171" class="LineNr">171 </span>    <span class="PreProc">break-if-&gt;=</span>
<span id="L172" class="LineNr">172 </span>    <span class="PreProc">var</span> x2-f/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L196'>mandelbrot-x</a> x-f, y-f, real-f
<span id="L173" class="LineNr">173 </span>    <span class="PreProc">var</span> y2-f/<span class="muRegEbx">ebx</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L206'>mandelbrot-y</a> x-f, y-f, imaginary-f
<span id="L174" class="LineNr">174 </span>    x-f <span class="Special">&lt;-</span> copy x2-f
<span id="L175" class="LineNr">175 </span>    y-f <span class="Special">&lt;-</span> copy y2-f
<span id="L176" class="LineNr">176 </span>    iterations <span class="Special">&lt;-</span> increment
<span id="L177" class="LineNr">177 </span>    <span class="PreProc">loop</span>
<span id="L178" class="LineNr">178 </span>  <span class="Delimiter">}</span>
<span id="L179" class="LineNr">179 </span>  <span class="PreProc">return</span> iterations
<span id="L180" class="LineNr">180 </span><span class="Delimiter">}</span>
<span id="L181" class="LineNr">181 </span>
<span id="L182" class="LineNr">182 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L182'>mandelbrot-done?</a></span> x-f: int, y-f: int<span class="PreProc"> -&gt; </span>_/eax: boolean <span class="Delimiter">{</span>
<span id="L183" class="LineNr">183 </span>  <span class="muComment"># x*x + y*y &gt; 4</span>
<span id="L184" class="LineNr">184 </span>  <span class="PreProc">var</span> tmp-f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L100'>multiply-fixed</a> x-f, x-f
<span id="L185" class="LineNr">185 </span>  <span class="PreProc">var</span> result-f/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy tmp-f
<span id="L186" class="LineNr">186 </span>  tmp-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L100'>multiply-fixed</a> y-f, y-f
<span id="L187" class="LineNr">187 </span>  result-f <span class="Special">&lt;-</span> add tmp-f
<span id="L188" class="LineNr">188 </span>  compare result-f, <span class="Constant">0x400</span>/<span class="Constant">4</span>
<span id="L189" class="LineNr">189 </span>  <span class="Delimiter">{</span>
<span id="L190" class="LineNr">190 </span>    <span class="PreProc">break-if-&gt;</span>
<span id="L191" class="LineNr">191 </span>    <span class="PreProc">return</span> <span class="Constant">0</span>/false
<span id="L192" class="LineNr">192 </span>  <span class="Delimiter">}</span>
<span id="L193" class="LineNr">193 </span>  <span class="PreProc">return</span> <span class="Constant">1</span>/true
<span id="L194" class="LineNr">194 </span><span class="Delimiter">}</span>
<span id="L195" class="LineNr">195 </span>
<span id="L196" class="LineNr">196 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L196'>mandelbrot-x</a></span> x-f: int, y-f: int, real-f: int<span class="PreProc"> -&gt; </span>_/<span class="muRegEdx">edx</span>: int <span class="Delimiter">{</span>
<span id="L197" class="LineNr">197 </span>  <span class="muComment"># x*x - y*y + real</span>
<span id="L198" class="LineNr">198 </span>  <span class="PreProc">var</span> tmp-f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L100'>multiply-fixed</a> x-f, x-f
<span id="L199" class="LineNr">199 </span>  <span class="PreProc">var</span> result-f/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy tmp-f
<span id="L200" class="LineNr">200 </span>  tmp-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L100'>multiply-fixed</a> y-f, y-f
<span id="L201" class="LineNr">201 </span>  result-f <span class="Special">&lt;-</span> subtract tmp-f
<span id="L202" class="LineNr">202 </span>  result-f <span class="Special">&lt;-</span> add real-f
<span id="L203" class="LineNr">203 </span>  <span class="PreProc">return</span> result-f
<span id="L204" class="LineNr">204 </span><span class="Delimiter">}</span>
<span id="L205" class="LineNr">205 </span>
<span id="L206" class="LineNr">206 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L206'>mandelbrot-y</a></span> x-f: int, y-f: int, imaginary-f: int<span class="PreProc"> -&gt; </span>_/<span class="muRegEbx">ebx</span>: int <span class="Delimiter">{</span>
<span id="L207" class="LineNr">207 </span>  <span class="muComment"># 2*x*y + imaginary</span>
<span id="L208" class="LineNr">208 </span>  <span class="PreProc">var</span> result-f/eax: int <span class="Special">&lt;-</span> copy x-f
<span id="L209" class="LineNr">209 </span>  result-f <span class="Special">&lt;-</span> shift-left <span class="Constant">1</span>/log2
<span id="L210" class="LineNr">210 </span>  result-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L100'>multiply-fixed</a> result-f, y-f
<span id="L211" class="LineNr">211 </span>  result-f <span class="Special">&lt;-</span> add imaginary-f
<span id="L212" class="LineNr">212 </span>  <span class="PreProc">return</span> result-f
<span id="L213" class="LineNr">213 </span><span class="Delimiter">}</span>
<span id="L214" class="LineNr">214 </span>
<span id="L215" class="LineNr">215 </span><span class="muComment"># Scale (x, y) pixel coordinates to a complex plane where the viewport width</span>
<span id="L216" class="LineNr">216 </span><span class="muComment"># ranges from -2 to +2. Viewport height just follows the viewport's aspect</span>
<span id="L217" class="LineNr">217 </span><span class="muComment"># ratio.</span>
<span id="L218" class="LineNr">218 </span>
<span id="L219" class="LineNr">219 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L219'>viewport-to-real-f</a></span> x: int, width: int, scene-cx-f: int, scene-width-f: int<span class="PreProc"> -&gt; </span>_/<span class="muRegEdx">edx</span>: int <span class="Delimiter">{</span>
<span id="L220" class="LineNr">220 </span>  <span class="muComment"># 0 in the viewport       goes to scene-cx - scene-width/2 </span>
<span id="L221" class="LineNr">221 </span>  <span class="muComment"># width in the viewport   goes to scene-cx + scene-width/2</span>
<span id="L222" class="LineNr">222 </span>  <span class="muComment"># Therefore:</span>
<span id="L223" class="LineNr">223 </span>  <span class="muComment"># x in the viewport       goes to (scene-cx - scene-width/2) + x*scene-width/width</span>
<span id="L224" class="LineNr">224 </span>  <span class="muComment"># At most two numbers being multiplied before a divide, so no risk of overflow.</span>
<span id="L225" class="LineNr">225 </span>  <span class="PreProc">var</span> result-f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L36'>int-to-fixed</a> x
<span id="L226" class="LineNr">226 </span>  result-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L100'>multiply-fixed</a> result-f, scene-width-f
<span id="L227" class="LineNr">227 </span>  <span class="PreProc">var</span> width-f/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy width
<span id="L228" class="LineNr">228 </span>  width-f <span class="Special">&lt;-</span> shift-left <span class="Constant">8</span>/fixed-precision
<span id="L229" class="LineNr">229 </span>  result-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L111'>divide-fixed</a> result-f, width-f
<span id="L230" class="LineNr">230 </span>  result-f <span class="Special">&lt;-</span> add scene-cx-f
<span id="L231" class="LineNr">231 </span>  <span class="PreProc">var</span> half-scene-width-f/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy scene-width-f
<span id="L232" class="LineNr">232 </span>  half-scene-width-f <span class="Special">&lt;-</span> shift-right <span class="Constant">1</span>
<span id="L233" class="LineNr">233 </span>  result-f <span class="Special">&lt;-</span> subtract half-scene-width-f
<span id="L234" class="LineNr">234 </span>  <span class="PreProc">return</span> result-f
<span id="L235" class="LineNr">235 </span><span class="Delimiter">}</span>
<span id="L236" class="LineNr">236 </span>
<span id="L237" class="LineNr">237 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L237'>viewport-to-imaginary-f</a></span> y: int, width: int, height: int, scene-cy-f: int, scene-width-f: int<span class="PreProc"> -&gt; </span>_/<span class="muRegEbx">ebx</span>: int <span class="Delimiter">{</span>
<span id="L238" class="LineNr">238 </span>  <span class="muComment"># 0 in the viewport       goes to scene-cy - scene-width/2*height/width</span>
<span id="L239" class="LineNr">239 </span>  <span class="muComment"># height in the viewport  goes to scene-cy + scene-width/2*height/width</span>
<span id="L240" class="LineNr">240 </span>  <span class="muComment"># Therefore:</span>
<span id="L241" class="LineNr">241 </span>  <span class="muComment"># y in the viewport       goes to (scene-cy - scene-width/2*height/width) + y*scene-width/width</span>
<span id="L242" class="LineNr">242 </span>  <span class="muComment">#  scene-cy - scene-width/width * (height/2 + y)</span>
<span id="L243" class="LineNr">243 </span>  <span class="muComment"># At most two numbers being multiplied before a divide, so no risk of overflow.</span>
<span id="L244" class="LineNr">244 </span>  <span class="PreProc">var</span> result-f/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L36'>int-to-fixed</a> y
<span id="L245" class="LineNr">245 </span>  result-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L100'>multiply-fixed</a> result-f, scene-width-f
<span id="L246" class="LineNr">246 </span>  <span class="PreProc">var</span> width-f/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy width
<span id="L247" class="LineNr">247 </span>  width-f <span class="Special">&lt;-</span> shift-left <span class="Constant">8</span>/fixed-precision
<span id="L248" class="LineNr">248 </span>  result-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L111'>divide-fixed</a> result-f, width-f
<span id="L249" class="LineNr">249 </span>  result-f <span class="Special">&lt;-</span> add scene-cy-f
<span id="L250" class="LineNr">250 </span>  <span class="PreProc">var</span> second-term-f/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L251" class="LineNr">251 </span>  <span class="Delimiter">{</span>
<span id="L252" class="LineNr">252 </span>    <span class="PreProc">var</span> _second-term-f/eax: int <span class="Special">&lt;-</span> copy scene-width-f
<span id="L253" class="LineNr">253 </span>    _second-term-f <span class="Special">&lt;-</span> shift-right <span class="Constant">1</span>
<span id="L254" class="LineNr">254 </span>    <span class="PreProc">var</span> height-f/<span class="muRegEbx">ebx</span>: int <span class="Special">&lt;-</span> copy height
<span id="L255" class="LineNr">255 </span>    height-f <span class="Special">&lt;-</span> shift-left <span class="Constant">8</span>/fixed-precision
<span id="L256" class="LineNr">256 </span>    _second-term-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L100'>multiply-fixed</a> _second-term-f, height-f
<span id="L257" class="LineNr">257 </span>    _second-term-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L111'>divide-fixed</a> _second-term-f, width-f
<span id="L258" class="LineNr">258 </span>    second-term-f <span class="Special">&lt;-</span> copy _second-term-f
<span id="L259" class="LineNr">259 </span>  <span class="Delimiter">}</span>
<span id="L260" class="LineNr">260 </span>  result-f <span class="Special">&lt;-</span> subtract second-term-f
<span id="L261" class="LineNr">261 </span>  <span class="PreProc">return</span> result-f
<span id="L262" class="LineNr">262 </span><span class="Delimiter">}</span>
</pre>
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