Just like my last topic, I doubt I'm the first to come up with this. Hopefully I'll make up for that by including some example code and pictures. Each example picture includes the equivalent Mandelbrot Set in the upper-left hand corner, a Julia Set spread in the upper-right, and two Julia Set examples underneath.
I'm using Z^2 + C as the basis for all of these examples, but you'll get interesting results no matter what equation you use them on. Also, I only show two types of conditional swap functions below (swapIfRealIsLessThanImaginary and swapIfRealIsLessThanImaginary), but there are tons of different types of conditions you can create.
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Swap:
Swap the real and imaginary parts of a given complex number. If you have 3 + 5i, it becomes 5 + 3i.
static Complex swap(Complex in) {
return new Complex(in.imag, in.real);
}
swap(Z^2 + C):
swap(Z^2) + C:
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Swap If Real Is Less Than Imaginary:
Swap the real and imaginary parts of a given complex number if the real part is less than the imaginary part.
static Complex swapIfRealIsLessThanImaginary(Complex in) {
Complex out = in;
if(in.real < in.imag) {
out = new Complex(in.imag, in.real);
}
return out;
}
swapIfRealIsLessThanImaginary(Z^2 + C):
swapIfRealIsLessThanImaginary(Z^2) + C:
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Swap If Real Is Greater Than Imaginary:
Swap the real and imaginary parts of a given complex number if the real part is greater than the imaginary part.
static Complex swapIfRealIsGreaterThanImaginary(Complex in) {
Complex out = in;
if(in.real > in.imag) {
out = new Complex(in.imag, in.real);
}
return out;
}
swapIfRealIsGreaterThanImaginary(Z^2 + C):
swapIfRealIsGreaterThanImaginary(Z^2) + C:
December 12, 2006, 04:06:41 PM
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