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| 1 | +package ch_19.exercise19_11; |
| 2 | + |
| 3 | +/** |
| 4 | + * The Complex.class from Programming Exercise 13.17 |
| 5 | + */ |
| 6 | +public class Complex extends Number implements Cloneable { |
| 7 | + |
| 8 | + private double a; |
| 9 | + private double b; |
| 10 | + private static double i = Math.sqrt(-1); |
| 11 | + |
| 12 | + public Complex() { |
| 13 | + this(0); |
| 14 | + } |
| 15 | + |
| 16 | + public Complex(double a) { |
| 17 | + this(a, 0); |
| 18 | + } |
| 19 | + |
| 20 | + public Complex(double a, double b) { |
| 21 | + this.a = a; |
| 22 | + this.b = b; |
| 23 | + } |
| 24 | + |
| 25 | + /** |
| 26 | + * Example addition: (a + bi) + (c + di) = (a + c) + (b + d)i |
| 27 | + * |
| 28 | + * @param complex Complex number to add |
| 29 | + * @return the addition result |
| 30 | + */ |
| 31 | + public double add(Complex complex) { |
| 32 | + return (this.a + complex.a) + (this.b + complex.b) * i; |
| 33 | + } |
| 34 | + |
| 35 | + /** |
| 36 | + * Subtract example: |
| 37 | + * a + bi - (c + di) = (a - c) + (b - d)i |
| 38 | + * |
| 39 | + * @param complex |
| 40 | + * @return |
| 41 | + */ |
| 42 | + public double subtract(Complex complex) { |
| 43 | + return (this.a - complex.a) + (this.b - complex.b) * i; |
| 44 | + |
| 45 | + } |
| 46 | + |
| 47 | + /** |
| 48 | + * (a + bi)*(c + di) = (ac - bd) + (bc + ad)i |
| 49 | + * |
| 50 | + * @param complex |
| 51 | + * @return |
| 52 | + */ |
| 53 | + public double multiply(Complex complex) { |
| 54 | + return (this.a * complex.a - this.b * complex.b) + ((this.b * complex.a + this.a * complex.b) * i); |
| 55 | + } |
| 56 | + |
| 57 | + /** |
| 58 | + * (a + bi)/(c + di) = (ac + bd)/(c2 + d2) + (bc - ad)i/(c2 + d2) |
| 59 | + * |
| 60 | + * @param complex |
| 61 | + * @return |
| 62 | + */ |
| 63 | + public double divide(Complex complex) { |
| 64 | + return (this.a * complex.a + this.b * complex.b) / (Math.pow(complex.a, 2) + Math.pow(complex.b, 2)) + ((this.b * complex.a - this.a * complex.b) * i) / (Math.pow(complex.a, 2) + Math.pow(complex.b, 2)); |
| 65 | + } |
| 66 | + |
| 67 | + public double abs(Complex complex) { |
| 68 | + return Math.sqrt(Math.pow(this.a, 2) + Math.pow(this.b, 2)); |
| 69 | + } |
| 70 | + |
| 71 | + public double getRealPart() { |
| 72 | + return a; |
| 73 | + } |
| 74 | + |
| 75 | + public double getImaginaryPart() { |
| 76 | + return b * i; |
| 77 | + } |
| 78 | + |
| 79 | + @Override |
| 80 | + public Complex clone() throws CloneNotSupportedException { |
| 81 | + return (Complex) super.clone(); |
| 82 | + |
| 83 | + } |
| 84 | + |
| 85 | + @Override |
| 86 | + public int intValue() { |
| 87 | + return (int) Math.round(a + b * i); |
| 88 | + } |
| 89 | + |
| 90 | + @Override |
| 91 | + public long longValue() { |
| 92 | + return Math.round(a + b * i); |
| 93 | + } |
| 94 | + |
| 95 | + @Override |
| 96 | + public float floatValue() { |
| 97 | + return (float) (a + b * i); |
| 98 | + } |
| 99 | + |
| 100 | + @Override |
| 101 | + public double doubleValue() { |
| 102 | + return a + b * i; |
| 103 | + } |
| 104 | + |
| 105 | + @Override |
| 106 | + public String toString() { |
| 107 | + return "( " + a + " + " + b + "(" + i + ")" + " )"; |
| 108 | + } |
| 109 | +} |
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