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98 lines
4.2 KiB

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