Задача.
Напишите класс для хранения комплексных чисел и реализуйте основные операции работы с ними.
Тесты.
| Исходные числа | Операция | Результат |
| z1 = 2 + 3i
z2 = -1 + 2i |
+ | 1.0 + 5.0i |
| — | 3.0 + i | |
| * | -8.0 + i | |
| / | 0.8 — 1.4i | |
| 3 + 4i | √ | 2.0 + i,
-2.0 -i |
| -1 + 2i | pow | -3.0 — 4.0i |
Код программы
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/** * <h1>Complex Numbers</h1> * The ComplexNumber program implements an application that * allows to calculate complex numbers **/ public class ComplexNumber { /** * Represents the real part of a complex number */ private double re; /** * Represents imaginary part of a complex number */ private double im; public ComplexNumber(double re, double im) { this.re = re; this.im = im; } public double getRe() { return re; } public double getIm() { return im; } /** * @return modulus (or absolute value) of the number */ private double getModule() { return Math.sqrt(this.re * this.re + this.im * this.im); } /** * Allows to get the sum of two complex numbers given in the parameters. * * @return the new complex number */ public static ComplexNumber sum(ComplexNumber cn1, ComplexNumber cn2) { return new ComplexNumber(cn1.getRe() + cn2.getRe(), cn1.getIm() + cn2.getIm()); } /** * Allows to get the product of two complex numbers given in the parameters. * * @return the new complex number */ public static ComplexNumber multiply(ComplexNumber cn1, ComplexNumber cn2) { return new ComplexNumber(cn1.getRe() * cn2.getRe() - cn1.getIm() * cn2.getIm(), cn1.getRe() * cn2.getIm() + cn1.getIm() * cn2.getRe()); } /** * Allows to get the difference of two complex numbers given in the parameters. * * @return the new complex number */ public static ComplexNumber subtract(ComplexNumber cn1, ComplexNumber cn2) { return new ComplexNumber(cn1.getRe() - cn2.getRe(), cn1.getIm() - cn2.getIm()); } /** * Allows to get the product of two complex numbers given in the parameters. * * @return the new complex number */ public static ComplexNumber divide(ComplexNumber cn1, ComplexNumber cn2) { ComplexNumber temp = new ComplexNumber(cn2.getRe(), (-1) * cn2.getIm()); temp = ComplexNumber.multiply(cn1, temp); double denominator = cn2.getRe() * cn2.getRe() + cn2.getIm() * cn2.getIm(); return new ComplexNumber(temp.getRe() / denominator, temp.getIm() / denominator); } /** * This function allows to get the argument of complex number to represent it in trigonometric form * * @return argument of complex number */ private double GetArg() { if (this.re > 0) { return Math.atan(im / re); } else { if (re < 0 && im > 0) { return Math.PI + Math.atan(im / re); } else { return -Math.PI + Math.atan(im / re); } } } /** * Allows to raise complex number to specified power with the help of de Moivre's formula. * * @param cn needed complex number (the base) * @param power the exponent * @return the new complex number */ public static ComplexNumber pow(ComplexNumber cn, int power) { double factor = Math.pow(cn.getModule(), power); return new ComplexNumber(factor * Math.cos(power * cn.GetArg()), factor * Math.sin(power * cn.GetArg())); } /** * The function of getting square roots of complex number cn * * @return an array of pair of square roots */ public static ComplexNumber[] sqrt(ComplexNumber cn) { double a = cn.getModule() / 2; ComplexNumber pos = new ComplexNumber(Math.sqrt(a + cn.getRe() / 2), Math.signum(cn.getIm()) * Math.sqrt(a - cn.getRe() / 2)); ComplexNumber neg = new ComplexNumber((-1) * pos.getRe(), (-1) * pos.getIm()); ComplexNumber[] answer = {pos, neg}; return answer; } /** * Defines and returns the sign required for correct record of a number * * @return string with appropriate sign */ private String sign() { if (im > 0) return " + "; else return " - "; } @Override public String toString() { String string; if (im == 1 || im == -1) { if (re == 0) { string = sign() + "i"; } else { string = Double.toString(re) + sign() + "i"; } } else { string = Double.toString(re) + sign() + Double.toString(Math.abs(im)) + "i"; } return string; } @Override public boolean equals(Object obj) { if (this.getClass() != obj.getClass() || obj == null) return false; return true; } /** * In this function main test on the correctness of this program are done. * All operations on complex numbers are shown. */ public static void main(String[] args) { ComplexNumber x = new ComplexNumber(2, 3); ComplexNumber y = new ComplexNumber(-1, 2); System.out.println("z1 = " + x + ", z2 = " + y); ComplexNumber z; z = ComplexNumber.sum(x, y); System.out.println("+ : " + z); z = ComplexNumber.subtract(x, y); System.out.println("- : " + z); z = ComplexNumber.divide(x, y); System.out.println("/ : " + z); z = ComplexNumber.multiply(x, y); System.out.println(" * :" + z); z = ComplexNumber.pow(y, 2); System.out.println("Pow 2 of z2 : " + z); ComplexNumber b = new ComplexNumber(3, 4); ComplexNumber[] ans = ComplexNumber.sqrt(b); System.out.println("Sqrt of " + b + " = " + ans[0] + ", " + ans[1]); } } |
Ссылка на Ideone.
Нужно либо коротко задокументировать в javadoc, либо написать описание каждой функции и поля класса в отчёте. Я за javadoc, а Вы?
Исправлено