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5 <title>Mu - apps/mandelbrot-silhouette.mu</title>
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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 -2 to +2. Viewport height just follows the viewport's aspect</span>
179 <span id="L117" class="LineNr">117 </span><span class="muComment"># 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 : -->
Soul of a tiny new machine. Track side effects in safe Assembly → More thorough tests → More malleable and rewrite-friendly software.