RealComplexINumber


1   /*
2    * RealComplexINumber.java
3    *
4    * Created on April 18, 2005, 11:09 PM
5    *
6    * To change this template, choose Tools | Options and locate the template under
7    * the Source Creation and Management node. Right-click the template and choose
8    * Open. You can then make changes to the template in the Source Editor.
9    */
10  
11  package math;
12  
13  /**
14   *   Represents complex number.
15   * @author jungi
16   */
17  public class RealComplexINumber implements INumber {
18      
19      private double a;
20      private double b;
21      
22      /** Creates a new instance of RealComplexINumber */
23      public RealComplexINumber() {
24          this(0, 0);
25      }
26  
27      /** Creates a new instance of RealComplexINumber */
28      public RealComplexINumber(double real) {
29          this(real, 0);
30      }
31  
32      /**
33       *   Creates a new instance of RealComplexINumber
34       */
35      public RealComplexINumber(double real, double im) {
36          a = real;
37          b = im;
38      }
39  
40      /**
41       *   u + v = (a + c) + (b + d)i
42       */
43      public INumber add(INumber no) {
44          RealComplexINumber cn = getComplexINumber(no);
45          return new RealComplexINumber(a + cn.a, b + cn.b);
46      }
47  
48      /**
49       *   u - v = (a - c) + (b - d)i
50       */
51      public INumber subtract(INumber no) {
52          RealComplexINumber cn = getComplexINumber(no);
53          return new RealComplexINumber(a - cn.a, b - cn.b);
54      }
55  
56      /**
57       *   u * v = (ac - bd) + (ad + bc)i
58       */
59      public INumber multiply(INumber no) {
60          RealComplexINumber cn = getComplexINumber(no);
61          double rp = a * cn.a - b * cn.b;
62          double ip = a * cn.b - b * cn.a;
63          return new RealComplexINumber(rp, ip);
64      }
65  
66      public INumber min(INumber no) {
67          throw new UndefinedOperationException();
68      }
69  
70      public INumber max(INumber no) {
71          throw new UndefinedOperationException();
72      }
73  
74      /**
75       *   u / v = u * v.pow(-1)
76       */
77      public INumber divide(INumber no) {
78          RealComplexINumber cn = getComplexINumber(no);
79          if (cn.a + cn.b == 0) {
80              throw new UndefinedOperationException();
81          }
82          //return multiply(new Zlomek(cn.sdruzene(), cn.absAsRealNumber()));
83          return null;
84      }
85  
86      /**
87       *   -z = -a - bi
88       */
89      public INumber negate() {
90          return new RealComplexINumber(-1 * a, -1 * b);
91      }
92  
93      public boolean isReal() {
94          return b == 0;
95      }
96  
97      public boolean isDecimal() {
98          return false;
99      }
100 
101     /**
102      *   |z| = sqrt(sqr(a) + sqr(b))
103      */
104     public INumber abs() {
105         return new RealComplexINumber(absAsRealNumber(), 0);
106     }
107     
108     public double absAsRealNumber() {
109         return Math.hypot(a, b);
110     }
111     
112     public INumber sdruzene() {
113         return new RealComplexINumber(a, -1 * b);
114     }
115     
116     public INumber prevracene() {
117         double d = absAsRealNumber();
118         //return new Zlomek(sdruzene(), d * d);
119         return null;
120     }
121     
122     private RealComplexINumber getComplexINumber(INumber no) {
123         if (!(no instanceof RealComplexINumber)) {
124             throw new UndefinedOperationException();
125         }
126         return (RealComplexINumber) no;
127     }
128     
129     public String   toString() {
130         StringBuilder   retVal = new StringBuilder  (12);
131         if (a != 0) {
132             if (a > 0) {
133                 retVal.append(a);
134             } else {
135                 retVal.append(" - ");
136                 retVal.append(Math.abs(a));
137             }
138         }
139         if (b != 0) {
140             retVal.append(" ");
141             if (b > 0) {
142                 if (a != 0) {
143                     retVal.append("+ ");
144                 }
145                 if (b != 1) {
146                     retVal.append(b);
147                 }
148             } else {
149                 retVal.append("- ");
150                 if (b != -1) {
151                     retVal.append(Math.abs(b));
152                 }
153             }
154             retVal.append("i");
155         }
156         return retVal.toString().trim().replace(".0", "");
157     }
158     
159     public boolean equals(Object   obj) {
160         boolean retVal = obj instanceof RealComplexINumber;
161         if (retVal) {
162             RealComplexINumber cn = (RealComplexINumber) obj;
163             retVal = (a == cn.a) && (b == cn.b);
164         }
165         return retVal;
166     }
167     
168     public int hashCode() {
169         return (int) (a * 5 + b * 7 + 27);
170     }
171     
172 
173 }
174
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