ComplexField


1   package JSci.maths.fields;
2   
3   import JSci.maths.Complex;
4   import JSci.maths.groups.AbelianGroup;
5   
6   /**
7   * The ComplexField class encapsulates the field of complex numbers.
8   * @version 1.0
9   * @author Mark Hale
10  */
11  public final class ComplexField extends Object   implements Field {
12          public static final Complex ZERO=new Complex(0.0,0.0);
13          public static final Complex I=new Complex(0.0,1.0);
14          public static final Complex ONE=new Complex(1.0,0.0);
15          public static final Complex MINUS_ONE=new Complex(-1.0,0.0);
16          public static final Complex MINUS_I=new Complex(0.0,-1.0);
17          public static final Complex HALF=new Complex(0.5,0.0);
18          public static final Complex MINUS_HALF=new Complex(-0.5,0.0);
19          public static final Complex HALF_I=new Complex(0.0,0.5);
20          public static final Complex MINUS_HALF_I=new Complex(0.0,-0.5);
21          public static final Complex TWO=new Complex(2.0,0.0);
22          public static final Complex MINUS_TWO=new Complex(-2.0,0.0);
23          public static final Complex SQRT_HALF=new Complex(Math.sqrt(0.5),0.0);
24          public static final Complex SQRT_HALF_I=new Complex(0.0,Math.sqrt(0.5));
25          public static final Complex MINUS_SQRT_HALF_I=new Complex(0.0,-Math.sqrt(0.5));
26          public static final Complex PI=new Complex(Math.PI,0.0);
27          public static final Complex PI_I=new Complex(0.0,Math.PI);
28          public static final Complex PI_2=new Complex(Math.PI/2.0,0.0);
29          public static final Complex MINUS_PI_2=new Complex(-Math.PI/2.0,0.0);
30          public static final Complex PI_2_I=new Complex(0.0,Math.PI/2.0);
31          public static final Complex MINUS_PI_2_I=new Complex(0.0,-Math.PI/2.0);
32  
33          private final static ComplexField _instance = new ComplexField();
34          /**
35          * Constructs a field of complex numbers.
36          */
37          private ComplexField() {}
38          /**
39          * Constructs a field of complex numbers.
40          * Singleton.
41          */
42          public static final ComplexField getInstance() {
43                  return _instance;
44          }
45          /**
46          * Returns the complex number zero.
47          */
48          public AbelianGroup.Member zero() {
49                  return ZERO;
50          }
51          /**
52          * Returns true if the complex number is equal to zero.
53          */
54          public boolean isZero(AbelianGroup.Member g) {
55                  return ZERO.equals(g);
56          }
57          /**
58          * Returns true if one complex number is the negative of the other.
59          */
60          public boolean isNegative(AbelianGroup.Member a,AbelianGroup.Member b) {
61                  return ZERO.equals(a.add(b));
62          }
63          /**
64          * Returns the complex number one.
65          */
66          public Ring.Member one() {
67                  return ONE;
68          }
69          /**
70          * Returns true if the complex number is equal to one.
71          */
72          public boolean isOne(Ring.Member r) {
73                  return ONE.equals(r);
74          }
75          /**
76          * Returns true if one complex number is the inverse of the other.
77          */
78          public boolean isInverse(Field.Member a, Field.Member b) {
79                  return ONE.equals(a.multiply(b));
80          }
81  }
82  
83
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