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97 lines
4.1 KiB
97 lines
4.1 KiB
/*
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* Mandelbrot which uses a minimum of mechanisms
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* (an early test).
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*/
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/*---
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{
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"slow": true
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}
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---*/
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/* Computed with Rhino, verified against V8 */
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/*===
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................................................................................
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................................................................................
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................................................................................
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................................................................................
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................................................................................
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................................................................................
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................................................................................
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................................................................................
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................................................................................
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................................................................................
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........................................#.......................................
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................................................................................
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....................................####........................................
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....................................####........................................
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..............................#..##########.....................................
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..............................#################.................................
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............................###################.................................
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...........................#####################................................
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.................#######..######################................................
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................#########.######################................................
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.#############################################..................................
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................#########.######################................................
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.................#######..######################................................
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...........................#####################................................
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............................###################.................................
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..............................#################.................................
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..............................#..##########.....................................
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....................................####........................................
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....................................####........................................
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................................................................................
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........................................#.......................................
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................................................................................
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................................................................................
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................................................................................
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................................................................................
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................................................................................
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................................................................................
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................................................................................
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................................................................................
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................................................................................
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===*/
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w = 80;
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h = 40;
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iter = 100;
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for (i = 0; i - h; i += 1) {
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y0 = (i / h) * 4.0 - 2.0;
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res = [];
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for (j = 0; j - w; j += 1) {
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x0 = (j / w) * 4.0 - 2.0;
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xx = 0;
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yy = 0;
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c = "#";
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for (k = 0; k - iter; k += 1) {
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/* z -> z^2 + c
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* -> (xx+i*yy)^2 + (x0+i*y0)
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* -> xx*xx+i*2*xx*yy-yy*yy + x0 + i*y0
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* -> (xx*xx - yy*yy + x0) + i*(2*xx*yy + y0)
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*/
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xx2 = xx*xx;
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yy2 = yy*yy;
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if (Math.max(0, 4.0 - (xx2 + yy2))) {
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yy = 2*xx*yy + y0;
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xx = xx2 - yy2 + x0;
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} else {
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/* xx^2 + yy^2 >= 4.0 */
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c = ".";
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}
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}
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res[res.length] = c;
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}
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print(res.join(''));
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}
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