Introduction
All solutions for session 5.
Exercises
Exercise 1: the Julia Fractal
void drawJulia(double cx, double cy) {
double x, y, t;
int k;
for (double i=-2; i<2; i+=4.0/width)
for (double j=-2; j<2; j+=4.0/height) {
x=i; y=j;
for (k=0; k<30; k++) {
t = x*x-y*y+cx;
y = 2*x*y+cy;
x = t;
if (x*x+y*y>=4) break;
}
stroke(colorscheme[k]);
point((int)((i+2)*width/4), (int)((j+2)*height/4));
}
}
Julia
Exercise 2: the Mandelbrot Fractal
void drawMandelBrot() {
double x, y, t, cx, cy;
int k;
for (double i=-2; i<2; i+=4.0/width)
for (double j=-2; j<2; j+=4.0/height) {
x=0; y=0; // difference with Julia: reset to 0,0
cx=i; cy=j; // new c value
for (k=0; k<30; k++) {
t = x*x-y*y+cx;
y = 2*x*y+cy;
x = t;
if (x*x+y*y>=4) break;
}
stroke(colorscheme[k]);
point((int)((i+2)*width/4), (int)((j+2)*height/4));
}
}