要实现一个Java复数类,你可以按照以下步骤进行:
- 创建一个名为Complex的类,并在该类中声明两个私有变量,用于表示复数的实部和虚部。可以使用double类型变量来表示这两个部分。
public class Complex { private double real; private double imaginary; // 构造方法、getter和setter等其他方法 }
- 实现Complex类的构造方法,以便在创建Complex对象时初始化实部和虚部。
public Complex(double real, double imaginary) { this.real = real; this.imaginary = imaginary; }
- 提供getter和setter方法,用于获取和设置实部和虚部的值。
public double getReal() { return real; } public void setReal(double real) { this.real = real; } public double getImaginary() { return imaginary; } public void setImaginary(double imaginary) { this.imaginary = imaginary; }
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实现复数加法和乘法的方法。可以使用以下公式计算两个复数的和和积:
- 复数加法:(a + bi) + (c + di) = (a + c) + (b + d)i
- 复数乘法:(a + bi) * (c + di) = (ac - bd) + (ad + bc)i
public Complex add(Complex other) { double realPart = this.real + other.real; double imaginaryPart = this.imaginary + other.imaginary; return new Complex(realPart, imaginaryPart); } public Complex multiply(Complex other) { double realPart = this.real * other.real - this.imaginary * other.imaginary; double imaginaryPart = this.real * other.imaginary + this.imaginary * other.real; return new Complex(realPart, imaginaryPart); }
- 可选:实现toString方法,用于以字符串形式表示复数。
@Override public String toString() { if (imaginary >= 0) { return real + " + " + imaginary + "i"; } else { return real + " - " + (-imaginary) + "i"; } }
这样,你就可以使用这个Complex类来表示和操作复数了。例如:
Complex a = new Complex(2, 3); Complex b = new Complex(4, -1); Complex sum = a.add(b); System.out.println("Sum: " + sum); Complex product = a.multiply(b); System.out.println("Product: " + product);
输出结果为:
Sum: 6.0 + 2.0i Product: 11.0 + 10.0i