Java基础编程题目——复数的加法、乘法和求模运算

曾经终败给现在 2023-07-18 09:24 6阅读 0赞

**假设 a+bi 和 c+di 则:**  
**(a+bi)+(c+di)=(a+c)+(b+d)i**  
**(a+bi)-(c+di)=(a-c)+(b-d)i**  
**(a+bi)(c+di)=(ac-bd)+(bc+ad)i**  
**a+bi 的模为a2\+b2的算术平方根**

public class Fushu {
        
        private double x, y;
    
        public Fushu(double real, double imaginary) {
           //定义复数
            x = real;
            y = imaginary;
        }
    
        public String toString() {
        
            return "(" + x + " + " + y + "i" + ")";		//规范输入格式
        }
         //加法
        public Fushu add(Fushu a) {
              				//与另一个复数相加
            return new Fushu(x + a.x ,y + a.y);
        }
    
        public Fushu add(double a,double b) {
            		//与给定的实部虚部相加
            return new Fushu(x + a , y + b);
        }
    
        public static Fushu add(Fushu a, Fushu b) {
             //两个复数相加
            return new Fushu(a.x + b.x , a.y + b.y);
        }
    
        //乘法
        public Fushu mul(Fushu a) {
        						 //与另一个复数相乘
            return new Fushu(x * a.x - y * a.y ,y * a.x + x * a.y);
        }
    
        public Fushu mul(double a,double b) {
        			//与给定的实部虚部相乘
            return new Fushu(x * a - y * b , y * a + x * b);
        }
    
        public static Fushu mul(Fushu a, Fushu b) {
              //两个复数相乘
            return new Fushu(a.x * b.x - a.y * b.y, a.y * b.x + a.x * b.y);
        }
    
        //求模
        public static double mo(Fushu a) {
        		
            double x = Math.sqrt(a.x * a.x + a.y * a.y);
            return x;
        }
    
        public static void main(String args[]) {
        
            Fushu x, y, z;
            //加法
            x = new Fushu(4,5);
            y = new Fushu(3.4,2.8);
            z = add(x,y);
            System.out.println(x + " + " + y + " = " + z);
            z = x.add(y);
            System.out.println(x + " + " + y + " = " + z);
            z = y.add(4,5);
            System.out.println(x + " + " + y + " = " + z);
    
            //乘法
            x = new Fushu(4,5);
            y = new Fushu(3,2);
            z = mul(x,y);
            System.out.println(x + " * " + y + " = " + z);
            z = x.mul(y);
            System.out.println(x + " * " + y + " = " + z);
            z = y.mul(4,5);
            System.out.println(x + " * " + y + " = " + z);
    
            //求模
            x = new Fushu(4,5);
            double n = mo(x);
            System.out.println(n);
        }
    }