JSci.maths.chaos.MandelbrotMap Maven / Gradle / Ivy
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JSci is a set of open source Java packages. The aim is to encapsulate scientific methods/principles in the most natural way possible. As such they should greatly aid the development of scientific based software.
It offers: abstract math interfaces, linear algebra (support for various matrix and vector types), statistics (including probability distributions), wavelets, newtonian mechanics, chart/graph components (AWT and Swing), MathML DOM implementation, ...
Note: some packages, like javax.comm, for the astro and instruments package aren't listed as dependencies (not available).
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package JSci.maths.chaos;
import JSci.maths.*;
/**
* The MandelbrotMap class provides an object that encapsulates the Mandelbrot map.
* zn+1 = zn2 + c.
* @version 1.0
* @author Mark Hale
*/
public final class MandelbrotMap extends Object implements ComplexMapping {
/**
* A complex number z such that |z| > CONVERGENT_BOUND
* will diverge under this map.
*/
public final static double CONVERGENT_BOUND=2.0;
private Complex a;
/**
* Constructs a Mandelbrot map.
* @param aval the value of the constant.
*/
public MandelbrotMap(double aval) {
a=new Complex(aval,0.0);
}
/**
* Constructs a Mandelbrot map.
* @param aval the value of the constant.
*/
public MandelbrotMap(Complex aval) {
a=aval;
}
/**
* Returns the constant.
*/
public Complex getConstant() {
return a;
}
/**
* Sets the constant.
*/
public void setConstant(Complex aval) {
a=aval;
}
/**
* Performs the mapping.
* @param x a double
*/
public double map(double x) {
return x*x+a.real();
}
/**
* Performs the mapping.
* @param z a complex number.
*/
public Complex map(Complex z) {
return map(z.real(),z.imag());
}
/**
* Performs the mapping.
*/
public Complex map(double real,double imag) {
return new Complex(real*real-imag*imag+a.real(),2.0*real*imag+a.imag());
}
/**
* Iterates the map.
* @param n the number of iterations
* @param x the initial value
*/
public double iterate(int n,double x) {
for(int i=0;i