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- package com.feemers.android.fftdrawer.SignalProcessing;
-
- /******************************************************************************
- * Compilation: javac Complex.java
- * Execution: java Complex
- *
- * Data type for complex numbers.
- *
- * The data type is "immutable" so once you create and initialize
- * a Complex object, you cannot change it. The "final" keyword
- * when declaring re and im enforces this rule, making it a
- * compile-time error to change the .re or .im instance variables after
- * they've been initialized.
- *
- * % java Complex
- * a = 5.0 + 6.0i
- * b = -3.0 + 4.0i
- * Re(a) = 5.0
- * Im(a) = 6.0
- * b + a = 2.0 + 10.0i
- * a - b = 8.0 + 2.0i
- * a * b = -39.0 + 2.0i
- * b * a = -39.0 + 2.0i
- * a / b = 0.36 - 1.52i
- * (a / b) * b = 5.0 + 6.0i
- * conj(a) = 5.0 - 6.0i
- * |a| = 7.810249675906654
- * tan(a) = -6.685231390246571E-6 + 1.0000103108981198i
- *
- ******************************************************************************/
-
- 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 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 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 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 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 Complex object whose value is the conjugate of this
- public Complex conjugate() {
- return new Complex(re, -im);
- }
-
- // return a new 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 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 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 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 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);
- }
-
- }
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