html/apps/mandelbrot-silhouette.mu.html

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  61 <a href='https://github.com/akkartik/mu/blob/main/apps/mandelbrot-silhouette.mu'>https://github.com/akkartik/mu/blob/main/apps/mandelbrot-silhouette.mu</a>
  62 <pre id='vimCodeElement'>
  63 <span id="L1" class="LineNr">  1 </span><span class="muComment"># Mandelbrot set</span>
  64 <span id="L2" class="LineNr">  2 </span><span class="muComment">#</span>
  65 <span id="L3" class="LineNr">  3 </span><span class="muComment"># Install:</span>
  66 <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>
  67 <span id="L5" class="LineNr">  5 </span><span class="muComment">#   $ cd mu</span>
  68 <span id="L6" class="LineNr">  6 </span><span class="muComment"># Build on Linux:</span>
  69 <span id="L7" class="LineNr">  7 </span><span class="muComment">#   $ ./translate apps/mandelbrot.mu</span>
  70 <span id="L8" class="LineNr">  8 </span><span class="muComment"># Build on other platforms (slow):</span>
  71 <span id="L9" class="LineNr">  9 </span><span class="muComment">#   $ ./translate_emulated apps/mandelbrot.mu</span>
  72 <span id="L10" class="LineNr"> 10 </span><span class="muComment"># Run:</span>
  73 <span id="L11" class="LineNr"> 11 </span><span class="muComment">#   $ qemu-system-i386 code.img</span>
  74 <span id="L12" class="LineNr"> 12 </span>
  75 <span id="L13" class="LineNr"> 13 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-silhouette.mu.html#L13'>main</a></span> <a href='../500fake-screen.mu.html#L16'>screen</a>: (addr <a href='../500fake-screen.mu.html#L16'>screen</a>), keyboard: (addr keyboard), data-disk: (addr disk) <span class="Delimiter">{</span>
  76 <span id="L14" class="LineNr"> 14 </span>  <a href='mandelbrot-silhouette.mu.html#L17'>mandelbrot</a> <a href='../500fake-screen.mu.html#L16'>screen</a>
  77 <span id="L15" class="LineNr"> 15 </span><span class="Delimiter">}</span>
  78 <span id="L16" class="LineNr"> 16 </span>
  79 <span id="L17" class="LineNr"> 17 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-silhouette.mu.html#L17'>mandelbrot</a></span> <a href='../500fake-screen.mu.html#L16'>screen</a>: (addr <a href='../500fake-screen.mu.html#L16'>screen</a>) <span class="Delimiter">{</span>
  80 <span id="L18" class="LineNr"> 18 </span>  <span class="PreProc">var</span> a/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
  81 <span id="L19" class="LineNr"> 19 </span>  <span class="PreProc">var</span> b/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
  82 <span id="L20" class="LineNr"> 20 </span>  a, b <span class="Special">&lt;-</span> <a href='../500fake-screen.mu.html#L75'>screen-size</a> <a href='../500fake-screen.mu.html#L16'>screen</a>
  83 <span id="L21" class="LineNr"> 21 </span>  <span class="PreProc">var</span> width/<span class="muRegEsi">esi</span>: int <span class="Special">&lt;-</span> copy a
  84 <span id="L22" class="LineNr"> 22 </span>  width <span class="Special">&lt;-</span> shift-left <span class="Constant">3</span>/log2-font-width
  85 <span id="L23" class="LineNr"> 23 </span>  <span class="PreProc">var</span> height/<span class="muRegEdi">edi</span>: int <span class="Special">&lt;-</span> copy b
  86 <span id="L24" class="LineNr"> 24 </span>  height <span class="Special">&lt;-</span> shift-left <span class="Constant">4</span>/log2-font-height
  87 <span id="L25" class="LineNr"> 25 </span>  <span class="PreProc">var</span> y/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
  88 <span id="L26" class="LineNr"> 26 </span>  <span class="Delimiter">{</span>
  89 <span id="L27" class="LineNr"> 27 </span>    compare y, height
  90 <span id="L28" class="LineNr"> 28 </span>    <span class="PreProc">break-if-&gt;=</span>
  91 <span id="L29" class="LineNr"> 29 </span>    <span class="PreProc">var</span> imaginary/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> <a href='mandelbrot-silhouette.mu.html#L135'>viewport-to-imaginary</a> y, width, height
  92 <span id="L30" class="LineNr"> 30 </span>    <span class="PreProc">var</span> x/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
  93 <span id="L31" class="LineNr"> 31 </span>    <span class="Delimiter">{</span>
  94 <span id="L32" class="LineNr"> 32 </span>      compare x, width
  95 <span id="L33" class="LineNr"> 33 </span>      <span class="PreProc">break-if-&gt;=</span>
  96 <span id="L34" class="LineNr"> 34 </span>      <span class="PreProc">var</span> real/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='mandelbrot-silhouette.mu.html#L119'>viewport-to-real</a> x, width
  97 <span id="L35" class="LineNr"> 35 </span>      <span class="PreProc">var</span> iterations/eax: int <span class="Special">&lt;-</span> <a href='mandelbrot-silhouette.mu.html#L54'>mandelbrot-iterations-for-point</a> real, imaginary, <span class="Constant">0x400</span>/max
  98 <span id="L36" class="LineNr"> 36 </span>      compare iterations, <span class="Constant">0x400</span>/max
  99 <span id="L37" class="LineNr"> 37 </span>      <span class="Delimiter">{</span>
 100 <span id="L38" class="LineNr"> 38 </span>        <span class="PreProc">break-if-&gt;=</span>
 101 <span id="L39" class="LineNr"> 39 </span>        <a href='../500fake-screen.mu.html#L580'>pixel</a> <a href='../500fake-screen.mu.html#L16'>screen</a>, x, y, <span class="Constant">0xf</span>/white
 102 <span id="L40" class="LineNr"> 40 </span>      <span class="Delimiter">}</span>
 103 <span id="L41" class="LineNr"> 41 </span>      compare iterations, <span class="Constant">0x400</span>/max
 104 <span id="L42" class="LineNr"> 42 </span>      <span class="Delimiter">{</span>
 105 <span id="L43" class="LineNr"> 43 </span>        <span class="PreProc">break-if-&lt;</span>
 106 <span id="L44" class="LineNr"> 44 </span>        <a href='../500fake-screen.mu.html#L580'>pixel</a> <a href='../500fake-screen.mu.html#L16'>screen</a>, x, y, <span class="Constant">0</span>/black
 107 <span id="L45" class="LineNr"> 45 </span>      <span class="Delimiter">}</span>
 108 <span id="L46" class="LineNr"> 46 </span>      x <span class="Special">&lt;-</span> increment
 109 <span id="L47" class="LineNr"> 47 </span>      <span class="PreProc">loop</span>
 110 <span id="L48" class="LineNr"> 48 </span>    <span class="Delimiter">}</span>
 111 <span id="L49" class="LineNr"> 49 </span>    y <span class="Special">&lt;-</span> increment
 112 <span id="L50" class="LineNr"> 50 </span>    <span class="PreProc">loop</span>
 113 <span id="L51" class="LineNr"> 51 </span>  <span class="Delimiter">}</span>
 114 <span id="L52" class="LineNr"> 52 </span><span class="Delimiter">}</span>
 115 <span id="L53" class="LineNr"> 53 </span>
 116 <span id="L54" class="LineNr"> 54 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-silhouette.mu.html#L54'>mandelbrot-iterations-for-point</a></span> real: float, imaginary: float, max: int<span class="PreProc"> -&gt; </span>_/eax: int <span class="Delimiter">{</span>
 117 <span id="L55" class="LineNr"> 55 </span>  <span class="PreProc">var</span> zero: float
 118 <span id="L56" class="LineNr"> 56 </span>  <span class="PreProc">var</span> x/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy zero
 119 <span id="L57" class="LineNr"> 57 </span>  <span class="PreProc">var</span> y/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> copy zero
 120 <span id="L58" class="LineNr"> 58 </span>  <span class="PreProc">var</span> iterations/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
 121 <span id="L59" class="LineNr"> 59 </span>  <span class="Delimiter">{</span>
 122 <span id="L60" class="LineNr"> 60 </span>    <span class="PreProc">var</span> done?/eax: boolean <span class="Special">&lt;-</span> <a href='mandelbrot-silhouette.mu.html#L75'>mandelbrot-done?</a> x, y
 123 <span id="L61" class="LineNr"> 61 </span>    compare done?, <span class="Constant">0</span>/false
 124 <span id="L62" class="LineNr"> 62 </span>    <span class="PreProc">break-if-!=</span>
 125 <span id="L63" class="LineNr"> 63 </span>    compare iterations, max
 126 <span id="L64" class="LineNr"> 64 </span>    <span class="PreProc">break-if-&gt;=</span>
 127 <span id="L65" class="LineNr"> 65 </span>    <span class="PreProc">var</span> newx/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> <a href='mandelbrot-silhouette.mu.html#L93'>mandelbrot-x</a> x, y, real
 128 <span id="L66" class="LineNr"> 66 </span>    <span class="PreProc">var</span> newy/<span class="Constant">xmm3</span>: float <span class="Special">&lt;-</span> <a href='mandelbrot-silhouette.mu.html#L105'>mandelbrot-y</a> x, y, imaginary
 129 <span id="L67" class="LineNr"> 67 </span>    x <span class="Special">&lt;-</span> copy newx
 130 <span id="L68" class="LineNr"> 68 </span>    y <span class="Special">&lt;-</span> copy newy
 131 <span id="L69" class="LineNr"> 69 </span>    iterations <span class="Special">&lt;-</span> increment
 132 <span id="L70" class="LineNr"> 70 </span>    <span class="PreProc">loop</span>
 133 <span id="L71" class="LineNr"> 71 </span>  <span class="Delimiter">}</span>
 134 <span id="L72" class="LineNr"> 72 </span>  <span class="PreProc">return</span> iterations
 135 <span id="L73" class="LineNr"> 73 </span><span class="Delimiter">}</span>
 136 <span id="L74" class="LineNr"> 74 </span>
 137 <span id="L75" class="LineNr"> 75 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-silhouette.mu.html#L75'>mandelbrot-done?</a></span> x: float, y: float<span class="PreProc"> -&gt; </span>_/eax: boolean <span class="Delimiter">{</span>
 138 <span id="L76" class="LineNr"> 76 </span>  <span class="muComment"># x*x + y*y &gt; 4</span>
 139 <span id="L77" class="LineNr"> 77 </span>  <span class="PreProc">var</span> x2/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy x
 140 <span id="L78" class="LineNr"> 78 </span>  x2 <span class="Special">&lt;-</span> multiply x
 141 <span id="L79" class="LineNr"> 79 </span>  <span class="PreProc">var</span> y2/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> copy y
 142 <span id="L80" class="LineNr"> 80 </span>  y2 <span class="Special">&lt;-</span> multiply y
 143 <span id="L81" class="LineNr"> 81 </span>  <span class="PreProc">var</span> sum/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy x2
 144 <span id="L82" class="LineNr"> 82 </span>  sum <span class="Special">&lt;-</span> add y2
 145 <span id="L83" class="LineNr"> 83 </span>  <span class="PreProc">var</span> four/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">4</span>
 146 <span id="L84" class="LineNr"> 84 </span>  <span class="PreProc">var</span> four-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert four
 147 <span id="L85" class="LineNr"> 85 </span>  compare sum, four-f
 148 <span id="L86" class="LineNr"> 86 </span>  <span class="Delimiter">{</span>
 149 <span id="L87" class="LineNr"> 87 </span>    <span class="PreProc">break-if-float&gt;</span>
 150 <span id="L88" class="LineNr"> 88 </span>    <span class="PreProc">return</span> <span class="Constant">0</span>/false
 151 <span id="L89" class="LineNr"> 89 </span>  <span class="Delimiter">}</span>
 152 <span id="L90" class="LineNr"> 90 </span>  <span class="PreProc">return</span> <span class="Constant">1</span>/true
 153 <span id="L91" class="LineNr"> 91 </span><span class="Delimiter">}</span>
 154 <span id="L92" class="LineNr"> 92 </span>
 155 <span id="L93" class="LineNr"> 93 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-silhouette.mu.html#L93'>mandelbrot-x</a></span> x: float, y: float, real: float<span class="PreProc"> -&gt; </span>_/<span class="Constant">xmm2</span>: float <span class="Delimiter">{</span>
 156 <span id="L94" class="LineNr"> 94 </span>  <span class="muComment"># x*x - y*y + real</span>
 157 <span id="L95" class="LineNr"> 95 </span>  <span class="PreProc">var</span> x2/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy x
 158 <span id="L96" class="LineNr"> 96 </span>  x2 <span class="Special">&lt;-</span> multiply x
 159 <span id="L97" class="LineNr"> 97 </span>  <span class="PreProc">var</span> y2/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> copy y
 160 <span id="L98" class="LineNr"> 98 </span>  y2 <span class="Special">&lt;-</span> multiply y
 161 <span id="L99" class="LineNr"> 99 </span>  <span class="PreProc">var</span> result/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy x2
 162 <span id="L100" class="LineNr">100 </span>  result <span class="Special">&lt;-</span> subtract y2
 163 <span id="L101" class="LineNr">101 </span>  result <span class="Special">&lt;-</span> add real
 164 <span id="L102" class="LineNr">102 </span>  <span class="PreProc">return</span> result
 165 <span id="L103" class="LineNr">103 </span><span class="Delimiter">}</span>
 166 <span id="L104" class="LineNr">104 </span>
 167 <span id="L105" class="LineNr">105 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-silhouette.mu.html#L105'>mandelbrot-y</a></span> x: float, y: float, imaginary: float<span class="PreProc"> -&gt; </span>_/<span class="Constant">xmm3</span>: float <span class="Delimiter">{</span>
 168 <span id="L106" class="LineNr">106 </span>  <span class="muComment"># 2*x*y + imaginary</span>
 169 <span id="L107" class="LineNr">107 </span>  <span class="PreProc">var</span> two/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">2</span>
 170 <span id="L108" class="LineNr">108 </span>  <span class="PreProc">var</span> result/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> convert two
 171 <span id="L109" class="LineNr">109 </span>  result <span class="Special">&lt;-</span> multiply x
 172 <span id="L110" class="LineNr">110 </span>  result <span class="Special">&lt;-</span> multiply y
 173 <span id="L111" class="LineNr">111 </span>  result <span class="Special">&lt;-</span> add imaginary
 174 <span id="L112" class="LineNr">112 </span>  <span class="PreProc">return</span> result
 175 <span id="L113" class="LineNr">113 </span><span class="Delimiter">}</span>
 176 <span id="L114" class="LineNr">114 </span>
 177 <span id="L115" class="LineNr">115 </span><span class="muComment"># Scale (x, y) pixel coordinates to a complex plane where the viewport width</span>
 178 <span id="L116" class="LineNr">116 </span><span class="muComment"># ranges from (scene-cx - scene-width/2) to (scene-cx + scene-width/2).</span>
 179 <span id="L117" class="LineNr">117 </span><span class="muComment"># Viewport height just follows the viewport's aspect ratio.</span>
 180 <span id="L118" class="LineNr">118 </span>
 181 <span id="L119" class="LineNr">119 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-silhouette.mu.html#L119'>viewport-to-real</a></span> x: int, width: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">xmm0</span>: float <span class="Delimiter">{</span>
 182 <span id="L120" class="LineNr">120 </span>  <span class="muComment"># (x - width/2)*4/width</span>
 183 <span id="L121" class="LineNr">121 </span>  <span class="PreProc">var</span> result/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> convert x
 184 <span id="L122" class="LineNr">122 </span>  <span class="PreProc">var</span> width-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert width
 185 <span id="L123" class="LineNr">123 </span>  <span class="PreProc">var</span> two/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">2</span>
 186 <span id="L124" class="LineNr">124 </span>  <span class="PreProc">var</span> two-f/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> convert two
 187 <span id="L125" class="LineNr">125 </span>  <span class="PreProc">var</span> half-width-f/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> reciprocal two-f
 188 <span id="L126" class="LineNr">126 </span>  half-width-f <span class="Special">&lt;-</span> multiply width-f
 189 <span id="L127" class="LineNr">127 </span>  result <span class="Special">&lt;-</span> subtract half-width-f
 190 <span id="L128" class="LineNr">128 </span>  <span class="PreProc">var</span> four/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">4</span>
 191 <span id="L129" class="LineNr">129 </span>  <span class="PreProc">var</span> four-f/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> convert four
 192 <span id="L130" class="LineNr">130 </span>  result <span class="Special">&lt;-</span> multiply four-f
 193 <span id="L131" class="LineNr">131 </span>  result <span class="Special">&lt;-</span> divide width-f
 194 <span id="L132" class="LineNr">132 </span>  <span class="PreProc">return</span> result
 195 <span id="L133" class="LineNr">133 </span><span class="Delimiter">}</span>
 196 <span id="L134" class="LineNr">134 </span>
 197 <span id="L135" class="LineNr">135 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-silhouette.mu.html#L135'>viewport-to-imaginary</a></span> y: int, width: int, height: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">xmm1</span>: float <span class="Delimiter">{</span>
 198 <span id="L136" class="LineNr">136 </span>  <span class="muComment"># (y - height/2)*4/width</span>
 199 <span id="L137" class="LineNr">137 </span>  <span class="PreProc">var</span> result/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> convert y
 200 <span id="L138" class="LineNr">138 </span>  <span class="PreProc">var</span> height-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert height
 201 <span id="L139" class="LineNr">139 </span>  <span class="PreProc">var</span> half-height-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> copy height-f
 202 <span id="L140" class="LineNr">140 </span>  <span class="PreProc">var</span> two/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">2</span>
 203 <span id="L141" class="LineNr">141 </span>  <span class="PreProc">var</span> two-f/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> convert two
 204 <span id="L142" class="LineNr">142 </span>  half-height-f <span class="Special">&lt;-</span> divide two-f
 205 <span id="L143" class="LineNr">143 </span>  result <span class="Special">&lt;-</span> subtract half-height-f
 206 <span id="L144" class="LineNr">144 </span>  <span class="PreProc">var</span> four/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">4</span>
 207 <span id="L145" class="LineNr">145 </span>  <span class="PreProc">var</span> four-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert four
 208 <span id="L146" class="LineNr">146 </span>  result <span class="Special">&lt;-</span> multiply four-f
 209 <span id="L147" class="LineNr">147 </span>  <span class="PreProc">var</span> width-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert width
 210 <span id="L148" class="LineNr">148 </span>  result <span class="Special">&lt;-</span> divide width-f
 211 <span id="L149" class="LineNr">149 </span>  <span class="PreProc">return</span> result
 212 <span id="L150" class="LineNr">150 </span><span class="Delimiter">}</span>
 213 </pre>
 214 </body>
 215 </html>
 216 <!-- vim: set foldmethod=manual : -->