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  1. import java.util.*;
  2. import java.lang.*;
  3. import java.io.*;
  4.  
  5. class ComplexNumber {
  6.  
  7.     private double re;
  8.     private double im;
  9.  
  10.     public ComplexNumber(double re, double im) {
  11.         this.re = re;
  12.         this.im = im;
  13.     }
  14.  
  15.     public double getRe() {
  16.         return re;
  17.     }
  18.  
  19.     public double getIm() {
  20.         return im;
  21.     }
  22.  
  23.     private double getModule() {
  24.         return Math.sqrt(this.re * this.re + this.im * this.im);
  25.     }
  26.  
  27.     public static ComplexNumber sum(ComplexNumber cn1, ComplexNumber cn2) {
  28.         return new ComplexNumber(cn1.getRe() + cn2.getRe(), cn1.getIm() + cn2.getIm());
  29.     }
  30.  
  31.     public static ComplexNumber multiply(ComplexNumber cn1, ComplexNumber cn2) {
  32.         return new ComplexNumber(cn1.getRe() * cn2.getRe() - cn1.getIm() * cn2.getIm(), cn1.getRe() * cn2.getIm() + cn1.getIm() * cn2.getRe());
  33.     }
  34.  
  35.     public static ComplexNumber subtract(ComplexNumber cn1, ComplexNumber cn2) {
  36.         return new ComplexNumber(cn1.getRe() - cn2.getRe(), cn1.getIm() - cn2.getIm());
  37.     }
  38.  
  39.     public static ComplexNumber divide(ComplexNumber cn1, ComplexNumber cn2) {
  40.         ComplexNumber temp = new ComplexNumber(cn2.getRe(), (-1)* cn2.getIm());
  41.         temp = ComplexNumber.multiply(cn1, temp);
  42.         double denominator = cn2.getRe()*cn2.getRe() + cn2.getIm() * cn2.getIm();
  43.         return new ComplexNumber(temp.getRe()/denominator, temp.getIm()/denominator);
  44.     }
  45.  
  46.     private double GetArg() {
  47.         if (this.re > 0) {
  48.             return Math.atan(im / re);
  49.         } else {
  50.             if (re < 0 && im > 0) {
  51.                 return Math.PI + Math.atan(im / re);
  52.             } else {
  53.                 return -Math.PI + Math.atan(im / re);
  54.             }
  55.         }
  56.     }
  57.  
  58.     public static ComplexNumber pow(ComplexNumber cn, int power) {
  59.         double factor = Math.pow(cn.getModule(), power);
  60.         return new ComplexNumber(factor*Math.cos(power * cn.GetArg()), factor*Math.sin(power * cn.GetArg()));
  61.     }
  62.  
  63.     public static ComplexNumber[] sqrt(ComplexNumber cn) {
  64.         double a = cn.getModule() / 2;
  65.         ComplexNumber pos = new ComplexNumber(Math.sqrt(a + cn.getRe() / 2), Math.signum(cn.getIm()) * Math.sqrt(a - cn.getRe() / 2));
  66.         ComplexNumber neg = new ComplexNumber((-1) * pos.getRe(), (-1) * pos.getIm());
  67.         ComplexNumber[] answer = {pos, neg};
  68.         return answer;
  69.     }
  70.  
  71.  
  72.     private String sign() {
  73.         if (im > 0) return " + ";
  74.         else return " - ";
  75.     }
  76.  
  77.     @Override
  78.     public String toString() {
  79.         String string;
  80.         if (im == 1 || im == -1) {
  81.             if (re == 0) {
  82.                 string = sign() + "i";
  83.             } else {
  84.                 string = Double.toString(re) + sign() + "i";
  85.             }
  86.         } else {
  87.             string = Double.toString(re) + sign() + Double.toString(Math.abs(im)) + "i";
  88.         }
  89.         return string;
  90.     }
  91.  
  92.     @Override
  93.     public boolean equals(Object obj) {
  94.         if (this.getClass() != obj.getClass() || obj == null)
  95.             return false;
  96.         return true;
  97.     }
  98.  
  99.     public static void main(String[] args) {
  100.         ComplexNumber x = new ComplexNumber(2, 3);
  101.         ComplexNumber y = new ComplexNumber(-1, 2);
  102.         System.out.println("z1 = " + x + ",     z2 = " + y);
  103.  
  104.         ComplexNumber z;
  105.         z = ComplexNumber.sum(x, y);
  106.         System.out.println("+ : " + z);
  107.  
  108.         z = ComplexNumber.subtract(x, y);
  109.         System.out.println("- : " + z);
  110.  
  111.         z = ComplexNumber.divide(x, y);
  112.         System.out.println("/ : " + z);
  113.  
  114.         z = ComplexNumber.multiply(x, y);
  115.         System.out.println(" * :" + z);
  116.  
  117.         z = ComplexNumber.pow(y, 2);
  118.         System.out.println("Pow 2 of z2 : " + z);
  119.  
  120.         ComplexNumber b = new ComplexNumber(3, 4);
  121.         ComplexNumber[] ans = ComplexNumber.sqrt(b);
  122.         System.out.println("Sqrt of " + b + " = " + ans[0]+ ",  " + ans[1]);
  123.  
  124.     }
  125. }
  126.  
  127.  
  128.  
Success #stdin #stdout 0.05s 320576KB
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stdin
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Standard input is empty
stdout
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z1 = 2.0 + 3.0i,     z2 = -1.0 + 2.0i
+ : 1.0 + 5.0i
- : 3.0 + i
/ : 0.8 - 1.4i
 * :-8.0 + i
Pow 2 of z2 : -3.000000000000001 - 4.0i
Sqrt of 3.0 + 4.0i = 2.0 + i,  -2.0 - i
https://ideone.com/oErQlP
runnig complex numb
language:
Java (HotSpot 12)
created:
7 years ago
visibility:
public

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