我最近一直在研究分形生成器,并且一直在专门研究 Mandelbrot 集。不幸的是,缩放和移动似乎非常低效,需要很长时间才能刷新。每次缩放时我都会生成它,我知道这可能不是最有效的方法,而且我似乎找不到使用我理解的另一种方法的代码。这些是我使用的以下方法,第一个是初始生成,第二个是刷新方法。
private void genMandelbrot(Dimension size) {
for(int x=0;x<size.width;x++) {
for(int y=0;y<size.height;y++) {
double moveX=globalx;
double moveY=globalx;
//zoom and x/y offset.
double real = 1.5 * (x - size.width / 2) / (0.5 * zoom * size.width) + moveX;
double imaginary=(y - size.height / 2) / (0.5 * zoom * size.height) + moveY;
double newRe=0,newIm=0,oldRe=0,oldIm=0;
int i;
for(i=0;i<8000;i++) {
oldRe = newRe;
oldIm = newIm;
newRe = oldRe * oldRe - oldIm * oldIm + real;
newIm = 2 * oldRe * oldIm + imaginary;
if((newRe * newRe + newIm * newIm) > 4) break;
}
Cell c = new Cell(Color.getHSBColor(i % 256, i % 255, 255 * ((i<20)? 1:0)), new Dimension(1,1), new Point(x,y));
cells.add(c);
}
}
}
public void refreshMandelbrot(Dimension size) {
for(Cell c : cells) {
double moveX=globalx;
double moveY=globalx;
int x=c.x;
int y=c.y;
//zoom and x/y offset.
double real = 1.5 * (x - size.width / 2) / (0.5 * zoom * size.width) + moveX;
double imaginary=(y - size.height / 2) / (0.5 * zoom * size.height) + moveY;
double newRe=0,newIm=0,oldRe=0,oldIm=0;
int i;
for(i=0;i<8000;i++) {
oldRe = newRe;
oldIm = newIm;
newRe = oldRe * oldRe - oldIm * oldIm + real;
newIm = 2 * oldRe * oldIm + imaginary;
if((newRe * newRe + newIm * newIm) > 4) break;
}
cells.set(cells.indexOf(c), new Cell(Color.getHSBColor(i % 256, i % 255, 255 * ((i<20)? 1:0)), new Dimension(1,1), new Point(x,y)));
}
System.out.println("Set refreshed.");
}