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- package com.example.ueberwachungssystem.Detection.Signalverarbeitung;
-
- import java.util.Objects;
-
- public class Complex {
- private final double re; // the real part
- private final double im; // the imaginary part
-
- // create a new object with the given real and imaginary parts
- public Complex(double real, double imag) {
- re = real;
- im = imag;
- }
-
- // return a string representation of the invoking com.example.ueberwachungssystem.Detection.Signalverarbeitung.Complex object
- public String toString() {
- if (im == 0) return re + "";
- if (re == 0) return im + "i";
- if (im < 0) return re + " - " + (-im) + "i";
- return re + " + " + im + "i";
- }
-
- // return abs/modulus/magnitude
- public double abs() {
- return Math.hypot(re, im);
- }
-
- // return angle/phase/argument, normalized to be between -pi and pi
- public double phase() {
- return Math.atan2(im, re);
- }
-
- // return a new com.example.ueberwachungssystem.Detection.Signalverarbeitung.Complex object whose value is (this + b)
- public Complex plus(Complex b) {
- Complex a = this; // invoking object
- double real = a.re + b.re;
- double imag = a.im + b.im;
- return new Complex(real, imag);
- }
-
- // return a new com.example.ueberwachungssystem.Detection.Signalverarbeitung.Complex object whose value is (this - b)
- public Complex minus(Complex b) {
- Complex a = this;
- double real = a.re - b.re;
- double imag = a.im - b.im;
- return new Complex(real, imag);
- }
-
- // return a new com.example.ueberwachungssystem.Detection.Signalverarbeitung.Complex object whose value is (this * b)
- public Complex times(Complex b) {
- Complex a = this;
- double real = a.re * b.re - a.im * b.im;
- double imag = a.re * b.im + a.im * b.re;
- return new Complex(real, imag);
- }
-
- // return a new object whose value is (this * alpha)
- public Complex scale(double alpha) {
- return new Complex(alpha * re, alpha * im);
- }
-
- // return a new com.example.ueberwachungssystem.Detection.Signalverarbeitung.Complex object whose value is the conjugate of this
- public Complex conjugate() {
- return new Complex(re, -im);
- }
-
- // return a new com.example.ueberwachungssystem.Detection.Signalverarbeitung.Complex object whose value is the reciprocal of this
- public Complex reciprocal() {
- double scale = re * re + im * im;
- return new Complex(re / scale, -im / scale);
- }
-
- // return the real or imaginary part
- public double re() {
- return re;
- }
-
- public double im() {
- return im;
- }
-
- // return a / b
- public Complex divides(Complex b) {
- Complex a = this;
- return a.times(b.reciprocal());
- }
-
- // return a new com.example.ueberwachungssystem.Detection.Signalverarbeitung.Complex object whose value is the complex exponential of this
- public Complex exp() {
- return new Complex(Math.exp(re) * Math.cos(im), Math.exp(re) * Math.sin(im));
- }
-
- // return a new com.example.ueberwachungssystem.Detection.Signalverarbeitung.Complex object whose value is the complex sine of this
- public Complex sin() {
- return new Complex(Math.sin(re) * Math.cosh(im), Math.cos(re) * Math.sinh(im));
- }
-
- // return a new com.example.ueberwachungssystem.Detection.Signalverarbeitung.Complex object whose value is the complex cosine of this
- public Complex cos() {
- return new Complex(Math.cos(re) * Math.cosh(im), -Math.sin(re) * Math.sinh(im));
- }
-
- // return a new com.example.ueberwachungssystem.Detection.Signalverarbeitung.Complex object whose value is the complex tangent of this
- public Complex tan() {
- return sin().divides(cos());
- }
-
- // a static version of plus
- public static Complex plus(Complex a, Complex b) {
- double real = a.re + b.re;
- double imag = a.im + b.im;
- Complex sum = new Complex(real, imag);
- return sum;
- }
-
- // See Section 3.3.
- public boolean equals(Object x) {
- if (x == null) return false;
- if (this.getClass() != x.getClass()) return false;
- Complex that = (Complex) x;
- return (this.re == that.re) && (this.im == that.im);
- }
-
- // See Section 3.3.
- public int hashCode() {
- return Objects.hash(re, im);
- }
-
- // sample client for testing
- public static void main(String[] args) {
- Complex a = new Complex(5.0, 6.0);
- Complex b = new Complex(-3.0, 4.0);
-
- System.out.println("a = " + a);
- System.out.println("b = " + b);
- System.out.println("Re(a) = " + a.re());
- System.out.println("Im(a) = " + a.im());
- System.out.println("b + a = " + b.plus(a));
- System.out.println("a - b = " + a.minus(b));
- System.out.println("a * b = " + a.times(b));
- System.out.println("b * a = " + b.times(a));
- System.out.println("a / b = " + a.divides(b));
- System.out.println("(a / b) * b = " + a.divides(b).times(b));
- System.out.println("conj(a) = " + a.conjugate());
- System.out.println("|a| = " + a.abs());
- System.out.println("tan(a) = " + a.tan());
- }
- }
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