JSci.maths.analysis.ComplexExponential 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.analysis;

import JSci.maths.Complex;

/**
* The complex exponential function.
* @version 1.0
* @author Mark Hale
*/
public class ComplexExponential extends ComplexFunction {
	private final Complex A;
	private final Complex w;
        /**
        * Constructs an exponential function of the form exp(iz).
        */
        public ComplexExponential() {
		A = Complex.ONE;
		w = Complex.ONE;
        }
        /**
        * Constructs an exponential function of the form A exp(iwz).
        */
        public ComplexExponential(Complex A, Complex w) {
		this.A = A;
		this.w = w;
        }
	public Complex map(double x, double y) {
		final double iwzRe = -(w.imag()*x + w.real()*y);
		final double iwzIm = w.real()*x - w.imag()*y;
                return A.multiply(new Complex(
                        Math.exp(iwzRe)*Math.cos(iwzIm),
                        Math.exp(iwzRe)*Math.sin(iwzIm)
                ));
        }
	public Complex map(Complex z) {
		return map(z.real(), z.imag());
	}
        public ComplexFunction differentiate() {
                return new ComplexExponential(A.multiply(Complex.I.multiply(w)), w);
        }
	public ComplexFunction integrate() {
                return new ComplexExponential(A.divide(Complex.I.multiply(w)), w);
	}
}