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mandelbrot: streamline exposition

This commit is contained in:
Kartik Agaram 2021-05-09 08:03:48 -07:00
parent b1eeb62123
commit 9ad9bf96bb
4 changed files with 254 additions and 283 deletions
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@ -170,118 +170,112 @@ if ('onhashchange' in window) {
<span id="L111" class="LineNr">111 </span> width-f <span class="Special">&lt;-</span> shift-left <span class="Constant">0xb</span>/log2-font-width-and-fixed-precision <span class="muComment"># 3 + 8 = 11</span>
<span id="L112" class="LineNr">112 </span> <span class="PreProc">var</span> height-f/<span class="Constant">edi</span>: int <span class="Special">&lt;-</span> copy b
<span id="L113" class="LineNr">113 </span> height-f <span class="Special">&lt;-</span> shift-left <span class="Constant">0xc</span>/log2-font-height-and-fixed-precision <span class="muComment"># 4 + 8 = 12</span>
<span id="L114" class="LineNr">114 </span> <span class="muComment"># it might make sense to keep x and y as regular ints</span>
<span id="L115" class="LineNr">115 </span> <span class="muComment"># treating them as fixed-point for demonstration purposes</span>
<span id="L116" class="LineNr">116 </span> <span class="PreProc">var</span> y-f/<span class="Constant">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L117" class="LineNr">117 </span> <span class="Delimiter">{</span>
<span id="L118" class="LineNr">118 </span> compare y-f, height-f
<span id="L119" class="LineNr">119 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L120" class="LineNr">120 </span> <span class="PreProc">var</span> imaginary-f/<span class="Constant">ebx</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L217'>mandelbrot-min-y</a> y-f, width-f, height-f
<span id="L121" class="LineNr">121 </span> <span class="PreProc">var</span> x-f/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L122" class="LineNr">122 </span> <span class="Delimiter">{</span>
<span id="L123" class="LineNr">123 </span> compare x-f, width-f
<span id="L124" class="LineNr">124 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L125" class="LineNr">125 </span> <span class="PreProc">var</span> real-f/<span class="Constant">edx</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L206'>mandelbrot-min-x</a> x-f, width-f
<span id="L126" class="LineNr">126 </span> <span class="PreProc">var</span> iterations/<span class="Constant">esi</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L153'>mandelbrot-pixel</a> real-f, imaginary-f, <span class="Constant">0x400</span>/max
<span id="L127" class="LineNr">127 </span> <span class="Delimiter">{</span>
<span id="L128" class="LineNr">128 </span> <span class="PreProc">var</span> x: int
<span id="L129" class="LineNr">129 </span> <span class="PreProc">var</span> y: int
<span id="L130" class="LineNr">130 </span> <span class="PreProc">var</span> tmp/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L25'>fixed-to-int</a> x-f
<span id="L131" class="LineNr">131 </span> copy-to x, tmp
<span id="L132" class="LineNr">132 </span> tmp <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L25'>fixed-to-int</a> y-f
<span id="L133" class="LineNr">133 </span> copy-to y, tmp
<span id="L134" class="LineNr">134 </span> compare iterations, <span class="Constant">0x400</span>/max
<span id="L135" class="LineNr">135 </span> <span class="Delimiter">{</span>
<span id="L136" class="LineNr">136 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L137" class="LineNr">137 </span> <a href='500fake-screen.mu.html#L462'>pixel</a> <a href='500fake-screen.mu.html#L14'>screen</a>, x, y, <span class="Constant">0xf</span>/white
<span id="L138" class="LineNr">138 </span> <span class="Delimiter">}</span>
<span id="L139" class="LineNr">139 </span> compare iterations, <span class="Constant">0x400</span>/max
<span id="L140" class="LineNr">140 </span> <span class="Delimiter">{</span>
<span id="L141" class="LineNr">141 </span> <span class="PreProc">break-if-&lt;</span>
<span id="L142" class="LineNr">142 </span> <a href='500fake-screen.mu.html#L462'>pixel</a> <a href='500fake-screen.mu.html#L14'>screen</a>, x, y, <span class="Constant">0</span>/black
<span id="L143" class="LineNr">143 </span> <span class="Delimiter">}</span>
<span id="L144" class="LineNr">144 </span> <span class="Delimiter">}</span>
<span id="L145" class="LineNr">145 </span> x-f <span class="Special">&lt;-</span> add <span class="Constant">0x100</span>/<span class="Constant">1</span>
<span id="L146" class="LineNr">146 </span> <span class="PreProc">loop</span>
<span id="L147" class="LineNr">147 </span> <span class="Delimiter">}</span>
<span id="L148" class="LineNr">148 </span> y-f <span class="Special">&lt;-</span> add <span class="Constant">0x100</span>/<span class="Constant">1</span>
<span id="L149" class="LineNr">149 </span> <span class="PreProc">loop</span>
<span id="L150" class="LineNr">150 </span> <span class="Delimiter">}</span>
<span id="L151" class="LineNr">151 </span><span class="Delimiter">}</span>
<span id="L152" class="LineNr">152 </span>
<span id="L153" class="LineNr">153 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L153'>mandelbrot-pixel</a></span> real-f: int, imaginary-f: int, max: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">esi</span>: int <span class="Delimiter">{</span>
<span id="L154" class="LineNr">154 </span> <span class="PreProc">var</span> x-f/<span class="Constant">esi</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L155" class="LineNr">155 </span> <span class="PreProc">var</span> y-f/<span class="Constant">edi</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L156" class="LineNr">156 </span> <span class="PreProc">var</span> iterations/<span class="Constant">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L157" class="LineNr">157 </span> <span class="Delimiter">{</span>
<span id="L158" class="LineNr">158 </span> <span class="PreProc">var</span> done?/<span class="Constant">eax</span>: boolean <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L173'>mandelbrot-done?</a> x-f, y-f
<span id="L159" class="LineNr">159 </span> compare done?, <span class="Constant">0</span>/false
<span id="L160" class="LineNr">160 </span> <span class="PreProc">break-if-!=</span>
<span id="L161" class="LineNr">161 </span> compare iterations, max
<span id="L162" class="LineNr">162 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L163" class="LineNr">163 </span> <span class="PreProc">var</span> x2-f/<span class="Constant">edx</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L187'>mandelbrot-x</a> x-f, y-f, real-f
<span id="L164" class="LineNr">164 </span> <span class="PreProc">var</span> y2-f/<span class="Constant">ebx</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L197'>mandelbrot-y</a> x-f, y-f, imaginary-f
<span id="L165" class="LineNr">165 </span> x-f <span class="Special">&lt;-</span> copy x2-f
<span id="L166" class="LineNr">166 </span> y-f <span class="Special">&lt;-</span> copy y2-f
<span id="L167" class="LineNr">167 </span> iterations <span class="Special">&lt;-</span> increment
<span id="L168" class="LineNr">168 </span> <span class="PreProc">loop</span>
<span id="L169" class="LineNr">169 </span> <span class="Delimiter">}</span>
<span id="L170" class="LineNr">170 </span> <span class="PreProc">return</span> iterations
<span id="L171" class="LineNr">171 </span><span class="Delimiter">}</span>
<span id="L172" class="LineNr">172 </span>
<span id="L173" class="LineNr">173 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L173'>mandelbrot-done?</a></span> x-f: int, y-f: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">eax</span>: boolean <span class="Delimiter">{</span>
<span id="L174" class="LineNr">174 </span> <span class="muComment"># x*x + y*y &gt; 4</span>
<span id="L175" class="LineNr">175 </span> <span class="PreProc">var</span> tmp-f/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L79'>multiply-fixed</a> x-f, x-f
<span id="L176" class="LineNr">176 </span> <span class="PreProc">var</span> result-f/<span class="Constant">ecx</span>: int <span class="Special">&lt;-</span> copy tmp-f
<span id="L177" class="LineNr">177 </span> tmp-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L79'>multiply-fixed</a> y-f, y-f
<span id="L178" class="LineNr">178 </span> result-f <span class="Special">&lt;-</span> add tmp-f
<span id="L179" class="LineNr">179 </span> compare result-f, <span class="Constant">0x400</span>/<span class="Constant">4</span>
<span id="L180" class="LineNr">180 </span> <span class="Delimiter">{</span>
<span id="L181" class="LineNr">181 </span> <span class="PreProc">break-if-&gt;</span>
<span id="L182" class="LineNr">182 </span> <span class="PreProc">return</span> <span class="Constant">0</span>/false
<span id="L183" class="LineNr">183 </span> <span class="Delimiter">}</span>
<span id="L184" class="LineNr">184 </span> <span class="PreProc">return</span> <span class="Constant">1</span>/true
<span id="L114" class="LineNr">114 </span> <span class="PreProc">var</span> y/<span class="Constant">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L115" class="LineNr">115 </span> <span class="Delimiter">{</span>
<span id="L116" class="LineNr">116 </span> compare y, height-f
<span id="L117" class="LineNr">117 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L118" class="LineNr">118 </span> <span class="PreProc">var</span> imaginary-f/<span class="Constant">ebx</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L211'>viewport-to-imaginary-f</a> y, width-f, height-f
<span id="L119" class="LineNr">119 </span> <span class="PreProc">var</span> x/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L120" class="LineNr">120 </span> <span class="Delimiter">{</span>
<span id="L121" class="LineNr">121 </span> compare x, width-f
<span id="L122" class="LineNr">122 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L123" class="LineNr">123 </span> <span class="PreProc">var</span> real-f/<span class="Constant">edx</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L200'>viewport-to-real-f</a> x, width-f
<span id="L124" class="LineNr">124 </span> <span class="PreProc">var</span> iterations/<span class="Constant">esi</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L143'>mandelbrot-iterations-for-point</a> real-f, imaginary-f, <span class="Constant">0x400</span>/max
<span id="L125" class="LineNr">125 </span> compare iterations, <span class="Constant">0x400</span>/max
<span id="L126" class="LineNr">126 </span> <span class="Delimiter">{</span>
<span id="L127" class="LineNr">127 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L128" class="LineNr">128 </span> <a href='500fake-screen.mu.html#L462'>pixel</a> <a href='500fake-screen.mu.html#L14'>screen</a>, x, y, <span class="Constant">0xf</span>/white
<span id="L129" class="LineNr">129 </span> <span class="Delimiter">}</span>
<span id="L130" class="LineNr">130 </span> compare iterations, <span class="Constant">0x400</span>/max
<span id="L131" class="LineNr">131 </span> <span class="Delimiter">{</span>
<span id="L132" class="LineNr">132 </span> <span class="PreProc">break-if-&lt;</span>
<span id="L133" class="LineNr">133 </span> <a href='500fake-screen.mu.html#L462'>pixel</a> <a href='500fake-screen.mu.html#L14'>screen</a>, x, y, <span class="Constant">0</span>/black
<span id="L134" class="LineNr">134 </span> <span class="Delimiter">}</span>
<span id="L135" class="LineNr">135 </span> x <span class="Special">&lt;-</span> increment
<span id="L136" class="LineNr">136 </span> <span class="PreProc">loop</span>
<span id="L137" class="LineNr">137 </span> <span class="Delimiter">}</span>
<span id="L138" class="LineNr">138 </span> y <span class="Special">&lt;-</span> increment
<span id="L139" class="LineNr">139 </span> <span class="PreProc">loop</span>
<span id="L140" class="LineNr">140 </span> <span class="Delimiter">}</span>
<span id="L141" class="LineNr">141 </span><span class="Delimiter">}</span>
<span id="L142" class="LineNr">142 </span>
<span id="L143" class="LineNr">143 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L143'>mandelbrot-iterations-for-point</a></span> real-f: int, imaginary-f: int, max: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">esi</span>: int <span class="Delimiter">{</span>
<span id="L144" class="LineNr">144 </span> <span class="PreProc">var</span> x-f/<span class="Constant">esi</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L145" class="LineNr">145 </span> <span class="PreProc">var</span> y-f/<span class="Constant">edi</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L146" class="LineNr">146 </span> <span class="PreProc">var</span> iterations/<span class="Constant">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L147" class="LineNr">147 </span> <span class="Delimiter">{</span>
<span id="L148" class="LineNr">148 </span> <span class="PreProc">var</span> done?/<span class="Constant">eax</span>: boolean <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L163'>mandelbrot-done?</a> x-f, y-f
<span id="L149" class="LineNr">149 </span> compare done?, <span class="Constant">0</span>/false
<span id="L150" class="LineNr">150 </span> <span class="PreProc">break-if-!=</span>
<span id="L151" class="LineNr">151 </span> compare iterations, max
<span id="L152" class="LineNr">152 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L153" class="LineNr">153 </span> <span class="PreProc">var</span> x2-f/<span class="Constant">edx</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L177'>mandelbrot-x</a> x-f, y-f, real-f
<span id="L154" class="LineNr">154 </span> <span class="PreProc">var</span> y2-f/<span class="Constant">ebx</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L187'>mandelbrot-y</a> x-f, y-f, imaginary-f
<span id="L155" class="LineNr">155 </span> x-f <span class="Special">&lt;-</span> copy x2-f
<span id="L156" class="LineNr">156 </span> y-f <span class="Special">&lt;-</span> copy y2-f
<span id="L157" class="LineNr">157 </span> iterations <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="PreProc">return</span> iterations
<span id="L161" class="LineNr">161 </span><span class="Delimiter">}</span>
<span id="L162" class="LineNr">162 </span>
<span id="L163" class="LineNr">163 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L163'>mandelbrot-done?</a></span> x-f: int, y-f: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">eax</span>: boolean <span class="Delimiter">{</span>
<span id="L164" class="LineNr">164 </span> <span class="muComment"># x*x + y*y &gt; 4</span>
<span id="L165" class="LineNr">165 </span> <span class="PreProc">var</span> tmp-f/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L79'>multiply-fixed</a> x-f, x-f
<span id="L166" class="LineNr">166 </span> <span class="PreProc">var</span> result-f/<span class="Constant">ecx</span>: int <span class="Special">&lt;-</span> copy tmp-f
<span id="L167" class="LineNr">167 </span> tmp-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L79'>multiply-fixed</a> y-f, y-f
<span id="L168" class="LineNr">168 </span> result-f <span class="Special">&lt;-</span> add tmp-f
<span id="L169" class="LineNr">169 </span> compare result-f, <span class="Constant">0x400</span>/<span class="Constant">4</span>
<span id="L170" class="LineNr">170 </span> <span class="Delimiter">{</span>
<span id="L171" class="LineNr">171 </span> <span class="PreProc">break-if-&gt;</span>
<span id="L172" class="LineNr">172 </span> <span class="PreProc">return</span> <span class="Constant">0</span>/false
<span id="L173" class="LineNr">173 </span> <span class="Delimiter">}</span>
<span id="L174" class="LineNr">174 </span> <span class="PreProc">return</span> <span class="Constant">1</span>/true
<span id="L175" class="LineNr">175 </span><span class="Delimiter">}</span>
<span id="L176" class="LineNr">176 </span>
<span id="L177" class="LineNr">177 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L177'>mandelbrot-x</a></span> x-f: int, y-f: int, real-f: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">edx</span>: int <span class="Delimiter">{</span>
<span id="L178" class="LineNr">178 </span> <span class="muComment"># x*x - y*y + real</span>
<span id="L179" class="LineNr">179 </span> <span class="PreProc">var</span> tmp-f/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L79'>multiply-fixed</a> x-f, x-f
<span id="L180" class="LineNr">180 </span> <span class="PreProc">var</span> result-f/<span class="Constant">ecx</span>: int <span class="Special">&lt;-</span> copy tmp-f
<span id="L181" class="LineNr">181 </span> tmp-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L79'>multiply-fixed</a> y-f, y-f
<span id="L182" class="LineNr">182 </span> result-f <span class="Special">&lt;-</span> subtract tmp-f
<span id="L183" class="LineNr">183 </span> result-f <span class="Special">&lt;-</span> add real-f
<span id="L184" class="LineNr">184 </span> <span class="PreProc">return</span> result-f
<span id="L185" class="LineNr">185 </span><span class="Delimiter">}</span>
<span id="L186" class="LineNr">186 </span>
<span id="L187" class="LineNr">187 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L187'>mandelbrot-x</a></span> x-f: int, y-f: int, real-f: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">edx</span>: int <span class="Delimiter">{</span>
<span id="L188" class="LineNr">188 </span> <span class="muComment"># x*x - y*y + real</span>
<span id="L189" class="LineNr">189 </span> <span class="PreProc">var</span> tmp-f/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L79'>multiply-fixed</a> x-f, x-f
<span id="L190" class="LineNr">190 </span> <span class="PreProc">var</span> result-f/<span class="Constant">ecx</span>: int <span class="Special">&lt;-</span> copy tmp-f
<span id="L191" class="LineNr">191 </span> tmp-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L79'>multiply-fixed</a> y-f, y-f
<span id="L192" class="LineNr">192 </span> result-f <span class="Special">&lt;-</span> subtract tmp-f
<span id="L193" class="LineNr">193 </span> result-f <span class="Special">&lt;-</span> add real-f
<span id="L194" class="LineNr">194 </span> <span class="PreProc">return</span> result-f
<span id="L195" class="LineNr">195 </span><span class="Delimiter">}</span>
<span id="L196" class="LineNr">196 </span>
<span id="L197" class="LineNr">197 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L197'>mandelbrot-y</a></span> x-f: int, y-f: int, imaginary-f: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">ebx</span>: int <span class="Delimiter">{</span>
<span id="L198" class="LineNr">198 </span> <span class="muComment"># 2*x*y + imaginary</span>
<span id="L199" class="LineNr">199 </span> <span class="PreProc">var</span> result-f/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy x-f
<span id="L200" class="LineNr">200 </span> result-f <span class="Special">&lt;-</span> shift-left <span class="Constant">1</span>/log2
<span id="L201" class="LineNr">201 </span> result-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L79'>multiply-fixed</a> result-f, y-f
<span id="L202" class="LineNr">202 </span> result-f <span class="Special">&lt;-</span> add imaginary-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-min-x</a></span> x-f: int, width-f: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">edx</span>: int <span class="Delimiter">{</span>
<span id="L207" class="LineNr">207 </span> <span class="muComment"># (x - width/2)*4/width</span>
<span id="L208" class="LineNr">208 </span> <span class="PreProc">var</span> result-f/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy x-f
<span id="L209" class="LineNr">209 </span> <span class="PreProc">var</span> half-width-f/<span class="Constant">ecx</span>: int <span class="Special">&lt;-</span> copy width-f
<span id="L210" class="LineNr">210 </span> half-width-f <span class="Special">&lt;-</span> shift-right-signed <span class="Constant">1</span>/log2
<span id="L211" class="LineNr">211 </span> result-f <span class="Special">&lt;-</span> subtract half-width-f
<span id="L212" class="LineNr">212 </span> result-f <span class="Special">&lt;-</span> shift-left <span class="Constant">2</span>/log4
<span id="L213" class="LineNr">213 </span> result-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L90'>divide-fixed</a> result-f, width-f
<span id="L214" class="LineNr">214 </span> <span class="PreProc">return</span> result-f
<span id="L215" class="LineNr">215 </span><span class="Delimiter">}</span>
<span id="L216" class="LineNr">216 </span>
<span id="L217" class="LineNr">217 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L217'>mandelbrot-min-y</a></span> y-f: int, width-f: int, height-f: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">ebx</span>: int <span class="Delimiter">{</span>
<span id="L218" class="LineNr">218 </span> <span class="muComment"># (y - height/2)*4/width</span>
<span id="L219" class="LineNr">219 </span> <span class="PreProc">var</span> result-f/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy y-f
<span id="L220" class="LineNr">220 </span> shift-right-signed height-f, <span class="Constant">1</span>/log2
<span id="L221" class="LineNr">221 </span> result-f <span class="Special">&lt;-</span> subtract height-f
<span id="L222" class="LineNr">222 </span> result-f <span class="Special">&lt;-</span> shift-left <span class="Constant">2</span>/log4
<span id="L223" class="LineNr">223 </span> result-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L90'>divide-fixed</a> result-f, width-f
<span id="L224" class="LineNr">224 </span> <span class="PreProc">return</span> result-f
<span id="L225" class="LineNr">225 </span><span class="Delimiter">}</span>
<span id="L187" class="LineNr">187 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L187'>mandelbrot-y</a></span> x-f: int, y-f: int, imaginary-f: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">ebx</span>: int <span class="Delimiter">{</span>
<span id="L188" class="LineNr">188 </span> <span class="muComment"># 2*x*y + imaginary</span>
<span id="L189" class="LineNr">189 </span> <span class="PreProc">var</span> result-f/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy x-f
<span id="L190" class="LineNr">190 </span> result-f <span class="Special">&lt;-</span> shift-left <span class="Constant">1</span>/log2
<span id="L191" class="LineNr">191 </span> result-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L79'>multiply-fixed</a> result-f, y-f
<span id="L192" class="LineNr">192 </span> result-f <span class="Special">&lt;-</span> add imaginary-f
<span id="L193" class="LineNr">193 </span> <span class="PreProc">return</span> result-f
<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="muComment"># Scale (x, y) pixel coordinates to a complex plane where the viewport width</span>
<span id="L197" class="LineNr">197 </span><span class="muComment"># ranges from -2 to +2. Viewport height just follows the viewport's aspect</span>
<span id="L198" class="LineNr">198 </span><span class="muComment"># ratio.</span>
<span id="L199" class="LineNr">199 </span>
<span id="L200" class="LineNr">200 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L200'>viewport-to-real-f</a></span> x: int, width-f: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">edx</span>: int <span class="Delimiter">{</span>
<span id="L201" class="LineNr">201 </span> <span class="muComment"># (x - width/2)*4/width</span>
<span id="L202" class="LineNr">202 </span> <span class="PreProc">var</span> result-f/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L15'>int-to-fixed</a> x
<span id="L203" class="LineNr">203 </span> <span class="PreProc">var</span> half-width-f/<span class="Constant">ecx</span>: int <span class="Special">&lt;-</span> copy width-f
<span id="L204" class="LineNr">204 </span> half-width-f <span class="Special">&lt;-</span> shift-right-signed <span class="Constant">1</span>/log2
<span id="L205" class="LineNr">205 </span> result-f <span class="Special">&lt;-</span> subtract half-width-f
<span id="L206" class="LineNr">206 </span> result-f <span class="Special">&lt;-</span> shift-left <span class="Constant">2</span>/log4
<span id="L207" class="LineNr">207 </span> result-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L90'>divide-fixed</a> result-f, width-f
<span id="L208" class="LineNr">208 </span> <span class="PreProc">return</span> result-f
<span id="L209" class="LineNr">209 </span><span class="Delimiter">}</span>
<span id="L210" class="LineNr">210 </span>
<span id="L211" class="LineNr">211 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot-fixed.mu.html#L211'>viewport-to-imaginary-f</a></span> y: int, width-f: int, height-f: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">ebx</span>: int <span class="Delimiter">{</span>
<span id="L212" class="LineNr">212 </span> <span class="muComment"># (y - height/2)*4/width</span>
<span id="L213" class="LineNr">213 </span> <span class="PreProc">var</span> result-f/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L15'>int-to-fixed</a> y
<span id="L214" class="LineNr">214 </span> shift-right-signed height-f, <span class="Constant">1</span>/log2
<span id="L215" class="LineNr">215 </span> result-f <span class="Special">&lt;-</span> subtract height-f
<span id="L216" class="LineNr">216 </span> result-f <span class="Special">&lt;-</span> shift-left <span class="Constant">2</span>/log4
<span id="L217" class="LineNr">217 </span> result-f <span class="Special">&lt;-</span> <a href='mandelbrot-fixed.mu.html#L90'>divide-fixed</a> result-f, width-f
<span id="L218" class="LineNr">218 </span> <span class="PreProc">return</span> result-f
<span id="L219" class="LineNr">219 </span><span class="Delimiter">}</span>
</pre>
</body>
</html>

245
html/mandelbrot.mu.html generated
View File

@ -18,7 +18,6 @@ a { color:inherit; }
.Special { color: #ff6060; }
.LineNr { }
.Constant { color: #008787; }
.CommentedCode { color: #8a8a8a; }
.Delimiter { color: #c000c0; }
.muFunction { color: #af5f00; text-decoration: underline; }
.muComment { color: #005faf; }
@ -80,132 +79,124 @@ if ('onhashchange' in window) {
<span id="L21" class="LineNr"> 21 </span> <span class="Delimiter">{</span>
<span id="L22" class="LineNr"> 22 </span> compare y, height
<span id="L23" class="LineNr"> 23 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L24" class="LineNr"> 24 </span><span class="CommentedCode">#? var new-x/eax: int &lt;- render-float-decimal 0/screen, imaginary, 3, 0/x, 0/y, 7/fg, 0/bg</span>
<span id="L25" class="LineNr"> 25 </span> <span class="PreProc">var</span> imaginary/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> <a href='mandelbrot.mu.html#L134'>mandelbrot-min-y</a> y, width, height
<span id="L26" class="LineNr"> 26 </span> <span class="PreProc">var</span> x/<span class="Constant">edx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L27" class="LineNr"> 27 </span> <span class="Delimiter">{</span>
<span id="L28" class="LineNr"> 28 </span> compare x, width
<span id="L29" class="LineNr"> 29 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L30" class="LineNr"> 30 </span> <span class="PreProc">var</span> real/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='mandelbrot.mu.html#L118'>mandelbrot-min-x</a> x, width
<span id="L31" class="LineNr"> 31 </span> <span class="PreProc">var</span> new-x/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L32" class="LineNr"> 32 </span> new-x <span class="Special">&lt;-</span> <a href='412render-float-decimal.mu.html#L151'>render-float-decimal</a> <span class="Constant">0</span>/screen, real, <span class="Constant">3</span>, new-x, <span class="Constant">0</span>/y, <span class="Constant">7</span>/fg, <span class="Constant">0</span>/bg
<span id="L33" class="LineNr"> 33 </span> new-x <span class="Special">&lt;-</span> increment
<span id="L34" class="LineNr"> 34 </span> new-x <span class="Special">&lt;-</span> <a href='412render-float-decimal.mu.html#L151'>render-float-decimal</a> <span class="Constant">0</span>/screen, imaginary, <span class="Constant">3</span>, new-x, <span class="Constant">0</span>/y, <span class="Constant">7</span>/fg, <span class="Constant">0</span>/bg
<span id="L35" class="LineNr"> 35 </span> <span class="PreProc">var</span> iterations/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot.mu.html#L56'>mandelbrot-pixel</a> real, imaginary, <span class="Constant">0x400</span>/max
<span id="L36" class="LineNr"> 36 </span> <a href='500fake-screen.mu.html#L169'>set-cursor-position</a> <span class="Constant">0</span>/screen <span class="Constant">0</span>/x <span class="Constant">1</span>/y
<span id="L37" class="LineNr"> 37 </span> <a href='501draw-text.mu.html#L366'>draw-int32-decimal-wrapping-right-then-down-from-cursor-over-full-screen</a> <span class="Constant">0</span>/screen, iterations, <span class="Constant">7</span>/fg, <span class="Constant">0</span>/bg
<span id="L38" class="LineNr"> 38 </span> compare iterations, <span class="Constant">0x400</span>/max
<span id="L39" class="LineNr"> 39 </span> <span class="Delimiter">{</span>
<span id="L40" class="LineNr"> 40 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L41" class="LineNr"> 41 </span> <a href='500fake-screen.mu.html#L462'>pixel</a> <a href='500fake-screen.mu.html#L14'>screen</a>, x, y, <span class="Constant">0xf</span>/white
<span id="L42" class="LineNr"> 42 </span> <span class="Delimiter">}</span>
<span id="L43" class="LineNr"> 43 </span> compare iterations, <span class="Constant">0x400</span>/max
<span id="L44" class="LineNr"> 44 </span> <span class="Delimiter">{</span>
<span id="L45" class="LineNr"> 45 </span> <span class="PreProc">break-if-&lt;</span>
<span id="L46" class="LineNr"> 46 </span> <a href='500fake-screen.mu.html#L462'>pixel</a> <a href='500fake-screen.mu.html#L14'>screen</a>, x, y, <span class="Constant">0</span>/black
<span id="L47" class="LineNr"> 47 </span> <span class="Delimiter">}</span>
<span id="L48" class="LineNr"> 48 </span> x <span class="Special">&lt;-</span> increment
<span id="L49" class="LineNr"> 49 </span> <span class="PreProc">loop</span>
<span id="L50" class="LineNr"> 50 </span> <span class="Delimiter">}</span>
<span id="L51" class="LineNr"> 51 </span> y <span class="Special">&lt;-</span> increment
<span id="L52" class="LineNr"> 52 </span> <span class="PreProc">loop</span>
<span id="L53" class="LineNr"> 53 </span> <span class="Delimiter">}</span>
<span id="L54" class="LineNr"> 54 </span><span class="Delimiter">}</span>
<span id="L55" class="LineNr"> 55 </span>
<span id="L56" class="LineNr"> 56 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot.mu.html#L56'>mandelbrot-pixel</a></span> real: float, imaginary: float, max: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">eax</span>: int <span class="Delimiter">{</span>
<span id="L57" class="LineNr"> 57 </span> <span class="PreProc">var</span> zero: float
<span id="L58" class="LineNr"> 58 </span> <span class="PreProc">var</span> x/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy zero
<span id="L59" class="LineNr"> 59 </span> <span class="PreProc">var</span> y/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> copy zero
<span id="L60" class="LineNr"> 60 </span> <span class="PreProc">var</span> iterations/<span class="Constant">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L61" class="LineNr"> 61 </span> <span class="Delimiter">{</span>
<span id="L62" class="LineNr"> 62 </span> <span class="PreProc">var</span> done?/<span class="Constant">eax</span>: boolean <span class="Special">&lt;-</span> <a href='mandelbrot.mu.html#L77'>mandelbrot-done?</a> x, y
<span id="L63" class="LineNr"> 63 </span> compare done?, <span class="Constant">0</span>/false
<span id="L64" class="LineNr"> 64 </span> <span class="PreProc">break-if-!=</span>
<span id="L65" class="LineNr"> 65 </span> compare iterations, max
<span id="L66" class="LineNr"> 66 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L67" class="LineNr"> 67 </span> <span class="PreProc">var</span> newx/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> <a href='mandelbrot.mu.html#L96'>mandelbrot-x</a> x, y, real
<span id="L68" class="LineNr"> 68 </span> <span class="PreProc">var</span> newy/<span class="Constant">xmm3</span>: float <span class="Special">&lt;-</span> <a href='mandelbrot.mu.html#L108'>mandelbrot-y</a> x, y, imaginary
<span id="L69" class="LineNr"> 69 </span> x <span class="Special">&lt;-</span> copy newx
<span id="L70" class="LineNr"> 70 </span> y <span class="Special">&lt;-</span> copy newy
<span id="L71" class="LineNr"> 71 </span> iterations <span class="Special">&lt;-</span> increment
<span id="L72" class="LineNr"> 72 </span> <span class="PreProc">loop</span>
<span id="L73" class="LineNr"> 73 </span> <span class="Delimiter">}</span>
<span id="L74" class="LineNr"> 74 </span> <span class="PreProc">return</span> iterations
<span id="L75" class="LineNr"> 75 </span><span class="Delimiter">}</span>
<span id="L76" class="LineNr"> 76 </span>
<span id="L77" class="LineNr"> 77 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot.mu.html#L77'>mandelbrot-done?</a></span> x: float, y: float<span class="PreProc"> -&gt; </span>_/<span class="Constant">eax</span>: boolean <span class="Delimiter">{</span>
<span id="L78" class="LineNr"> 78 </span> <span class="muComment"># x*x + y*y &gt; 4</span>
<span id="L79" class="LineNr"> 79 </span> <span class="PreProc">var</span> x2/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy x
<span id="L80" class="LineNr"> 80 </span><span class="CommentedCode">#? var new-x/eax: int &lt;- render-float-decimal 0/screen, x2, 3, 0/x, 2/y, 4/fg, 0/bg</span>
<span id="L81" class="LineNr"> 81 </span> x2 <span class="Special">&lt;-</span> multiply x
<span id="L82" class="LineNr"> 82 </span> <span class="PreProc">var</span> y2/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> copy y
<span id="L83" class="LineNr"> 83 </span> y2 <span class="Special">&lt;-</span> multiply y
<span id="L84" class="LineNr"> 84 </span> <span class="PreProc">var</span> sum/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy x2
<span id="L85" class="LineNr"> 85 </span> sum <span class="Special">&lt;-</span> add y2
<span id="L86" class="LineNr"> 86 </span> <span class="PreProc">var</span> four/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">4</span>
<span id="L87" class="LineNr"> 87 </span> <span class="PreProc">var</span> four-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert four
<span id="L88" class="LineNr"> 88 </span> compare sum, four-f
<span id="L89" class="LineNr"> 89 </span> <span class="Delimiter">{</span>
<span id="L90" class="LineNr"> 90 </span> <span class="PreProc">break-if-float&gt;</span>
<span id="L91" class="LineNr"> 91 </span> <span class="PreProc">return</span> <span class="Constant">0</span>/false
<span id="L92" class="LineNr"> 92 </span> <span class="Delimiter">}</span>
<span id="L93" class="LineNr"> 93 </span> <span class="PreProc">return</span> <span class="Constant">1</span>/true
<span id="L94" class="LineNr"> 94 </span><span class="Delimiter">}</span>
<span id="L95" class="LineNr"> 95 </span>
<span id="L96" class="LineNr"> 96 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot.mu.html#L96'>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>
<span id="L97" class="LineNr"> 97 </span> <span class="muComment"># x*x - y*y + real</span>
<span id="L98" class="LineNr"> 98 </span> <span class="PreProc">var</span> x2/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy x
<span id="L99" class="LineNr"> 99 </span> x2 <span class="Special">&lt;-</span> multiply x
<span id="L100" class="LineNr">100 </span> <span class="PreProc">var</span> y2/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> copy y
<span id="L101" class="LineNr">101 </span> y2 <span class="Special">&lt;-</span> multiply y
<span id="L102" class="LineNr">102 </span> <span class="PreProc">var</span> result/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy x2
<span id="L103" class="LineNr">103 </span> result <span class="Special">&lt;-</span> subtract y2
<span id="L104" class="LineNr">104 </span> result <span class="Special">&lt;-</span> add real
<span id="L105" class="LineNr">105 </span> <span class="PreProc">return</span> result
<span id="L106" class="LineNr">106 </span><span class="Delimiter">}</span>
<span id="L107" class="LineNr">107 </span>
<span id="L108" class="LineNr">108 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot.mu.html#L108'>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>
<span id="L109" class="LineNr">109 </span> <span class="muComment"># 2*x*y + imaginary</span>
<span id="L110" class="LineNr">110 </span> <span class="PreProc">var</span> two/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">2</span>
<span id="L111" class="LineNr">111 </span> <span class="PreProc">var</span> result/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> convert two
<span id="L112" class="LineNr">112 </span> result <span class="Special">&lt;-</span> multiply x
<span id="L113" class="LineNr">113 </span> result <span class="Special">&lt;-</span> multiply y
<span id="L114" class="LineNr">114 </span> result <span class="Special">&lt;-</span> add imaginary
<span id="L115" class="LineNr">115 </span> <span class="PreProc">return</span> result
<span id="L116" class="LineNr">116 </span><span class="Delimiter">}</span>
<span id="L117" class="LineNr">117 </span>
<span id="L118" class="LineNr">118 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot.mu.html#L118'>mandelbrot-min-x</a></span> x: int, width: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">xmm0</span>: float <span class="Delimiter">{</span>
<span id="L119" class="LineNr">119 </span> <span class="muComment"># (x - width/2)*4/width</span>
<span id="L120" class="LineNr">120 </span> <span class="PreProc">var</span> result/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> convert x
<span id="L121" class="LineNr">121 </span> <span class="PreProc">var</span> width-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert width
<span id="L122" class="LineNr">122 </span> <span class="PreProc">var</span> two/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">2</span>
<span id="L123" class="LineNr">123 </span> <span class="PreProc">var</span> two-f/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> convert two
<span id="L124" class="LineNr">124 </span> <span class="PreProc">var</span> half-width-f/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> reciprocal two-f
<span id="L125" class="LineNr">125 </span> half-width-f <span class="Special">&lt;-</span> multiply width-f
<span id="L126" class="LineNr">126 </span> result <span class="Special">&lt;-</span> subtract half-width-f
<span id="L127" class="LineNr">127 </span> <span class="PreProc">var</span> four/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">4</span>
<span id="L128" class="LineNr">128 </span> <span class="PreProc">var</span> four-f/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> convert four
<span id="L129" class="LineNr">129 </span> result <span class="Special">&lt;-</span> multiply four-f
<span id="L130" class="LineNr">130 </span> result <span class="Special">&lt;-</span> divide width-f
<span id="L131" class="LineNr">131 </span> <span class="PreProc">return</span> result
<span id="L132" class="LineNr">132 </span><span class="Delimiter">}</span>
<span id="L133" class="LineNr">133 </span>
<span id="L134" class="LineNr">134 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot.mu.html#L134'>mandelbrot-min-y</a></span> y: int, width: int, height: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">xmm1</span>: float <span class="Delimiter">{</span>
<span id="L135" class="LineNr">135 </span> <span class="muComment"># (y - height/2)*4/width</span>
<span id="L136" class="LineNr">136 </span> <span class="PreProc">var</span> result/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> convert y
<span id="L137" class="LineNr">137 </span> <span class="PreProc">var</span> height-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert height
<span id="L138" class="LineNr">138 </span> <span class="PreProc">var</span> half-height-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> copy height-f
<span id="L139" class="LineNr">139 </span> <span class="PreProc">var</span> two/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">2</span>
<span id="L140" class="LineNr">140 </span> <span class="PreProc">var</span> two-f/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> convert two
<span id="L141" class="LineNr">141 </span> half-height-f <span class="Special">&lt;-</span> divide two-f
<span id="L142" class="LineNr">142 </span> result <span class="Special">&lt;-</span> subtract half-height-f
<span id="L143" class="LineNr">143 </span> <span class="PreProc">var</span> four/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">4</span>
<span id="L144" class="LineNr">144 </span> <span class="PreProc">var</span> four-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert four
<span id="L145" class="LineNr">145 </span> result <span class="Special">&lt;-</span> multiply four-f
<span id="L146" class="LineNr">146 </span> <span class="PreProc">var</span> width-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert width
<span id="L147" class="LineNr">147 </span> result <span class="Special">&lt;-</span> divide width-f
<span id="L148" class="LineNr">148 </span> <span class="PreProc">return</span> result
<span id="L149" class="LineNr">149 </span><span class="Delimiter">}</span>
<span id="L24" class="LineNr"> 24 </span> <span class="PreProc">var</span> imaginary/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> <a href='mandelbrot.mu.html#L126'>viewport-to-imaginary</a> y, width, height
<span id="L25" class="LineNr"> 25 </span> <span class="PreProc">var</span> x/<span class="Constant">edx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L26" class="LineNr"> 26 </span> <span class="Delimiter">{</span>
<span id="L27" class="LineNr"> 27 </span> compare x, width
<span id="L28" class="LineNr"> 28 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L29" class="LineNr"> 29 </span> <span class="PreProc">var</span> real/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='mandelbrot.mu.html#L110'>viewport-to-real</a> x, width
<span id="L30" class="LineNr"> 30 </span> <span class="PreProc">var</span> iterations/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> <a href='mandelbrot.mu.html#L49'>mandelbrot-iterations-for-point</a> real, imaginary, <span class="Constant">0x400</span>/max
<span id="L31" class="LineNr"> 31 </span> compare iterations, <span class="Constant">0x400</span>/max
<span id="L32" class="LineNr"> 32 </span> <span class="Delimiter">{</span>
<span id="L33" class="LineNr"> 33 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L34" class="LineNr"> 34 </span> <a href='500fake-screen.mu.html#L462'>pixel</a> <a href='500fake-screen.mu.html#L14'>screen</a>, x, y, <span class="Constant">0xf</span>/white
<span id="L35" class="LineNr"> 35 </span> <span class="Delimiter">}</span>
<span id="L36" class="LineNr"> 36 </span> compare iterations, <span class="Constant">0x400</span>/max
<span id="L37" class="LineNr"> 37 </span> <span class="Delimiter">{</span>
<span id="L38" class="LineNr"> 38 </span> <span class="PreProc">break-if-&lt;</span>
<span id="L39" class="LineNr"> 39 </span> <a href='500fake-screen.mu.html#L462'>pixel</a> <a href='500fake-screen.mu.html#L14'>screen</a>, x, y, <span class="Constant">0</span>/black
<span id="L40" class="LineNr"> 40 </span> <span class="Delimiter">}</span>
<span id="L41" class="LineNr"> 41 </span> x <span class="Special">&lt;-</span> increment
<span id="L42" class="LineNr"> 42 </span> <span class="PreProc">loop</span>
<span id="L43" class="LineNr"> 43 </span> <span class="Delimiter">}</span>
<span id="L44" class="LineNr"> 44 </span> y <span class="Special">&lt;-</span> increment
<span id="L45" class="LineNr"> 45 </span> <span class="PreProc">loop</span>
<span id="L46" class="LineNr"> 46 </span> <span class="Delimiter">}</span>
<span id="L47" class="LineNr"> 47 </span><span class="Delimiter">}</span>
<span id="L48" class="LineNr"> 48 </span>
<span id="L49" class="LineNr"> 49 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot.mu.html#L49'>mandelbrot-iterations-for-point</a></span> real: float, imaginary: float, max: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">eax</span>: int <span class="Delimiter">{</span>
<span id="L50" class="LineNr"> 50 </span> <span class="PreProc">var</span> zero: float
<span id="L51" class="LineNr"> 51 </span> <span class="PreProc">var</span> x/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy zero
<span id="L52" class="LineNr"> 52 </span> <span class="PreProc">var</span> y/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> copy zero
<span id="L53" class="LineNr"> 53 </span> <span class="PreProc">var</span> iterations/<span class="Constant">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L54" class="LineNr"> 54 </span> <span class="Delimiter">{</span>
<span id="L55" class="LineNr"> 55 </span> <span class="PreProc">var</span> done?/<span class="Constant">eax</span>: boolean <span class="Special">&lt;-</span> <a href='mandelbrot.mu.html#L70'>mandelbrot-done?</a> x, y
<span id="L56" class="LineNr"> 56 </span> compare done?, <span class="Constant">0</span>/false
<span id="L57" class="LineNr"> 57 </span> <span class="PreProc">break-if-!=</span>
<span id="L58" class="LineNr"> 58 </span> compare iterations, max
<span id="L59" class="LineNr"> 59 </span> <span class="PreProc">break-if-&gt;=</span>
<span id="L60" class="LineNr"> 60 </span> <span class="PreProc">var</span> newx/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> <a href='mandelbrot.mu.html#L88'>mandelbrot-x</a> x, y, real
<span id="L61" class="LineNr"> 61 </span> <span class="PreProc">var</span> newy/<span class="Constant">xmm3</span>: float <span class="Special">&lt;-</span> <a href='mandelbrot.mu.html#L100'>mandelbrot-y</a> x, y, imaginary
<span id="L62" class="LineNr"> 62 </span> x <span class="Special">&lt;-</span> copy newx
<span id="L63" class="LineNr"> 63 </span> y <span class="Special">&lt;-</span> copy newy
<span id="L64" class="LineNr"> 64 </span> iterations <span class="Special">&lt;-</span> increment
<span id="L65" class="LineNr"> 65 </span> <span class="PreProc">loop</span>
<span id="L66" class="LineNr"> 66 </span> <span class="Delimiter">}</span>
<span id="L67" class="LineNr"> 67 </span> <span class="PreProc">return</span> iterations
<span id="L68" class="LineNr"> 68 </span><span class="Delimiter">}</span>
<span id="L69" class="LineNr"> 69 </span>
<span id="L70" class="LineNr"> 70 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot.mu.html#L70'>mandelbrot-done?</a></span> x: float, y: float<span class="PreProc"> -&gt; </span>_/<span class="Constant">eax</span>: boolean <span class="Delimiter">{</span>
<span id="L71" class="LineNr"> 71 </span> <span class="muComment"># x*x + y*y &gt; 4</span>
<span id="L72" class="LineNr"> 72 </span> <span class="PreProc">var</span> x2/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy x
<span id="L73" class="LineNr"> 73 </span> x2 <span class="Special">&lt;-</span> multiply x
<span id="L74" class="LineNr"> 74 </span> <span class="PreProc">var</span> y2/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> copy y
<span id="L75" class="LineNr"> 75 </span> y2 <span class="Special">&lt;-</span> multiply y
<span id="L76" class="LineNr"> 76 </span> <span class="PreProc">var</span> sum/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy x2
<span id="L77" class="LineNr"> 77 </span> sum <span class="Special">&lt;-</span> add y2
<span id="L78" class="LineNr"> 78 </span> <span class="PreProc">var</span> four/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">4</span>
<span id="L79" class="LineNr"> 79 </span> <span class="PreProc">var</span> four-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert four
<span id="L80" class="LineNr"> 80 </span> compare sum, four-f
<span id="L81" class="LineNr"> 81 </span> <span class="Delimiter">{</span>
<span id="L82" class="LineNr"> 82 </span> <span class="PreProc">break-if-float&gt;</span>
<span id="L83" class="LineNr"> 83 </span> <span class="PreProc">return</span> <span class="Constant">0</span>/false
<span id="L84" class="LineNr"> 84 </span> <span class="Delimiter">}</span>
<span id="L85" class="LineNr"> 85 </span> <span class="PreProc">return</span> <span class="Constant">1</span>/true
<span id="L86" class="LineNr"> 86 </span><span class="Delimiter">}</span>
<span id="L87" class="LineNr"> 87 </span>
<span id="L88" class="LineNr"> 88 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot.mu.html#L88'>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>
<span id="L89" class="LineNr"> 89 </span> <span class="muComment"># x*x - y*y + real</span>
<span id="L90" class="LineNr"> 90 </span> <span class="PreProc">var</span> x2/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy x
<span id="L91" class="LineNr"> 91 </span> x2 <span class="Special">&lt;-</span> multiply x
<span id="L92" class="LineNr"> 92 </span> <span class="PreProc">var</span> y2/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> copy y
<span id="L93" class="LineNr"> 93 </span> y2 <span class="Special">&lt;-</span> multiply y
<span id="L94" class="LineNr"> 94 </span> <span class="PreProc">var</span> result/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> copy x2
<span id="L95" class="LineNr"> 95 </span> result <span class="Special">&lt;-</span> subtract y2
<span id="L96" class="LineNr"> 96 </span> result <span class="Special">&lt;-</span> add real
<span id="L97" class="LineNr"> 97 </span> <span class="PreProc">return</span> result
<span id="L98" class="LineNr"> 98 </span><span class="Delimiter">}</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.mu.html#L100'>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>
<span id="L101" class="LineNr">101 </span> <span class="muComment"># 2*x*y + imaginary</span>
<span id="L102" class="LineNr">102 </span> <span class="PreProc">var</span> two/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">2</span>
<span id="L103" class="LineNr">103 </span> <span class="PreProc">var</span> result/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> convert two
<span id="L104" class="LineNr">104 </span> result <span class="Special">&lt;-</span> multiply x
<span id="L105" class="LineNr">105 </span> result <span class="Special">&lt;-</span> multiply y
<span id="L106" class="LineNr">106 </span> result <span class="Special">&lt;-</span> add imaginary
<span id="L107" class="LineNr">107 </span> <span class="PreProc">return</span> result
<span id="L108" class="LineNr">108 </span><span class="Delimiter">}</span>
<span id="L109" class="LineNr">109 </span>
<span id="L110" class="LineNr">110 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot.mu.html#L110'>viewport-to-real</a></span> x: int, width: int<span class="PreProc"> -&gt; </span>_/<span class="Constant">xmm0</span>: float <span class="Delimiter">{</span>
<span id="L111" class="LineNr">111 </span> <span class="muComment"># (x - width/2)*4/width</span>
<span id="L112" class="LineNr">112 </span> <span class="PreProc">var</span> result/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> convert x
<span id="L113" class="LineNr">113 </span> <span class="PreProc">var</span> width-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert width
<span id="L114" class="LineNr">114 </span> <span class="PreProc">var</span> two/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">2</span>
<span id="L115" class="LineNr">115 </span> <span class="PreProc">var</span> two-f/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> convert two
<span id="L116" class="LineNr">116 </span> <span class="PreProc">var</span> half-width-f/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> reciprocal two-f
<span id="L117" class="LineNr">117 </span> half-width-f <span class="Special">&lt;-</span> multiply width-f
<span id="L118" class="LineNr">118 </span> result <span class="Special">&lt;-</span> subtract half-width-f
<span id="L119" class="LineNr">119 </span> <span class="PreProc">var</span> four/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">4</span>
<span id="L120" class="LineNr">120 </span> <span class="PreProc">var</span> four-f/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> convert four
<span id="L121" class="LineNr">121 </span> result <span class="Special">&lt;-</span> multiply four-f
<span id="L122" class="LineNr">122 </span> result <span class="Special">&lt;-</span> divide width-f
<span id="L123" class="LineNr">123 </span> <span class="PreProc">return</span> result
<span id="L124" class="LineNr">124 </span><span class="Delimiter">}</span>
<span id="L125" class="LineNr">125 </span>
<span id="L126" class="LineNr">126 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='mandelbrot.mu.html#L126'>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>
<span id="L127" class="LineNr">127 </span> <span class="muComment"># (y - height/2)*4/width</span>
<span id="L128" class="LineNr">128 </span> <span class="PreProc">var</span> result/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> convert y
<span id="L129" class="LineNr">129 </span> <span class="PreProc">var</span> height-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert height
<span id="L130" class="LineNr">130 </span> <span class="PreProc">var</span> half-height-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> copy height-f
<span id="L131" class="LineNr">131 </span> <span class="PreProc">var</span> two/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">2</span>
<span id="L132" class="LineNr">132 </span> <span class="PreProc">var</span> two-f/<span class="Constant">xmm2</span>: float <span class="Special">&lt;-</span> convert two
<span id="L133" class="LineNr">133 </span> half-height-f <span class="Special">&lt;-</span> divide two-f
<span id="L134" class="LineNr">134 </span> result <span class="Special">&lt;-</span> subtract half-height-f
<span id="L135" class="LineNr">135 </span> <span class="PreProc">var</span> four/<span class="Constant">eax</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">4</span>
<span id="L136" class="LineNr">136 </span> <span class="PreProc">var</span> four-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert four
<span id="L137" class="LineNr">137 </span> result <span class="Special">&lt;-</span> multiply four-f
<span id="L138" class="LineNr">138 </span> <span class="PreProc">var</span> width-f/<span class="Constant">xmm1</span>: float <span class="Special">&lt;-</span> convert width
<span id="L139" class="LineNr">139 </span> result <span class="Special">&lt;-</span> divide width-f
<span id="L140" class="LineNr">140 </span> <span class="PreProc">return</span> result
<span id="L141" class="LineNr">141 </span><span class="Delimiter">}</span>
</pre>
</body>
</html>

58
mandelbrot-fixed.mu
View File

@ -111,46 +111,36 @@ fn mandelbrot screen: (addr screen) {
width-f <- shift-left 0xb/log2-font-width-and-fixed-precision # 3 + 8 = 11
var height-f/edi: int <- copy b
height-f <- shift-left 0xc/log2-font-height-and-fixed-precision # 4 + 8 = 12
# it might make sense to keep x and y as regular ints
# treating them as fixed-point for demonstration purposes
var y-f/ecx: int <- copy 0
var y/ecx: int <- copy 0
{
compare y-f, height-f
compare y, height-f
break-if->=
var imaginary-f/ebx: int <- mandelbrot-min-y y-f, width-f, height-f
var x-f/eax: int <- copy 0
var imaginary-f/ebx: int <- viewport-to-imaginary-f y, width-f, height-f
var x/eax: int <- copy 0
{
compare x-f, width-f
compare x, width-f
break-if->=
var real-f/edx: int <- mandelbrot-min-x x-f, width-f
var iterations/esi: int <- mandelbrot-pixel real-f, imaginary-f, 0x400/max
var real-f/edx: int <- viewport-to-real-f x, width-f
var iterations/esi: int <- mandelbrot-iterations-for-point real-f, imaginary-f, 0x400/max
compare iterations, 0x400/max
{
var x: int
var y: int
var tmp/eax: int <- fixed-to-int x-f
copy-to x, tmp
tmp <- fixed-to-int y-f
copy-to y, tmp
compare iterations, 0x400/max
{
break-if->=
pixel screen, x, y, 0xf/white
}
compare iterations, 0x400/max
{
break-if-<
pixel screen, x, y, 0/black
}
break-if->=
pixel screen, x, y, 0xf/white
}
x-f <- add 0x100/1
compare iterations, 0x400/max
{
break-if-<
pixel screen, x, y, 0/black
}
x <- increment
loop
}
y-f <- add 0x100/1
y <- increment
loop
}
}
fn mandelbrot-pixel real-f: int, imaginary-f: int, max: int -> _/esi: int {
fn mandelbrot-iterations-for-point real-f: int, imaginary-f: int, max: int -> _/esi: int {
var x-f/esi: int <- copy 0
var y-f/edi: int <- copy 0
var iterations/ecx: int <- copy 0
@ -203,9 +193,13 @@ fn mandelbrot-y x-f: int, y-f: int, imaginary-f: int -> _/ebx: int {
return result-f
}
fn mandelbrot-min-x x-f: int, width-f: int -> _/edx: int {
# Scale (x, y) pixel coordinates to a complex plane where the viewport width
# ranges from -2 to +2. Viewport height just follows the viewport's aspect
# ratio.
fn viewport-to-real-f x: int, width-f: int -> _/edx: int {
# (x - width/2)*4/width
var result-f/eax: int <- copy x-f
var result-f/eax: int <- int-to-fixed x
var half-width-f/ecx: int <- copy width-f
half-width-f <- shift-right-signed 1/log2
result-f <- subtract half-width-f
@ -214,9 +208,9 @@ fn mandelbrot-min-x x-f: int, width-f: int -> _/edx: int {
return result-f
}
fn mandelbrot-min-y y-f: int, width-f: int, height-f: int -> _/ebx: int {
fn viewport-to-imaginary-f y: int, width-f: int, height-f: int -> _/ebx: int {
# (y - height/2)*4/width
var result-f/eax: int <- copy y-f
var result-f/eax: int <- int-to-fixed y
shift-right-signed height-f, 1/log2
result-f <- subtract height-f
result-f <- shift-left 2/log4

20
mandelbrot.mu
View File

@ -21,20 +21,13 @@ fn mandelbrot screen: (addr screen) {
{
compare y, height
break-if->=
#? var new-x/eax: int <- render-float-decimal 0/screen, imaginary, 3, 0/x, 0/y, 7/fg, 0/bg
var imaginary/xmm1: float <- mandelbrot-min-y y, width, height
var imaginary/xmm1: float <- viewport-to-imaginary y, width, height
var x/edx: int <- copy 0
{
compare x, width
break-if->=
var real/xmm0: float <- mandelbrot-min-x x, width
var new-x/eax: int <- copy 0
new-x <- render-float-decimal 0/screen, real, 3, new-x, 0/y, 7/fg, 0/bg
new-x <- increment
new-x <- render-float-decimal 0/screen, imaginary, 3, new-x, 0/y, 7/fg, 0/bg
var iterations/eax: int <- mandelbrot-pixel real, imaginary, 0x400/max
set-cursor-position 0/screen 0/x 1/y
draw-int32-decimal-wrapping-right-then-down-from-cursor-over-full-screen 0/screen, iterations, 7/fg, 0/bg
var real/xmm0: float <- viewport-to-real x, width
var iterations/eax: int <- mandelbrot-iterations-for-point real, imaginary, 0x400/max
compare iterations, 0x400/max
{
break-if->=
@ -53,7 +46,7 @@ fn mandelbrot screen: (addr screen) {
}
}
fn mandelbrot-pixel real: float, imaginary: float, max: int -> _/eax: int {
fn mandelbrot-iterations-for-point real: float, imaginary: float, max: int -> _/eax: int {
var zero: float
var x/xmm0: float <- copy zero
var y/xmm1: float <- copy zero
@ -77,7 +70,6 @@ fn mandelbrot-pixel real: float, imaginary: float, max: int -> _/eax: int {
fn mandelbrot-done? x: float, y: float -> _/eax: boolean {
# x*x + y*y > 4
var x2/xmm0: float <- copy x
#? var new-x/eax: int <- render-float-decimal 0/screen, x2, 3, 0/x, 2/y, 4/fg, 0/bg
x2 <- multiply x
var y2/xmm1: float <- copy y
y2 <- multiply y
@ -115,7 +107,7 @@ fn mandelbrot-y x: float, y: float, imaginary: float -> _/xmm3: float {
return result
}
fn mandelbrot-min-x x: int, width: int -> _/xmm0: float {
fn viewport-to-real x: int, width: int -> _/xmm0: float {
# (x - width/2)*4/width
var result/xmm0: float <- convert x
var width-f/xmm1: float <- convert width
@ -131,7 +123,7 @@ fn mandelbrot-min-x x: int, width: int -> _/xmm0: float {
return result
}
fn mandelbrot-min-y y: int, width: int, height: int -> _/xmm1: float {
fn viewport-to-imaginary y: int, width: int, height: int -> _/xmm1: float {
# (y - height/2)*4/width
var result/xmm0: float <- convert y
var height-f/xmm1: float <- convert height