complex類java解決

complex類java解決

一個復數是一個形式為a+bi的數，這里的a和b都是實數，i是-1的平方根，數字a和b分別稱為復數的實部和虛部， 可以使用下面的公式完成復數的加、減、乘、除：

(a+bi)+(c+di)=(a+c)+(b+d)i;

(a+bi)-(c+di)=(a-c)+(b-d)i;

(a+bi)*(c+di)=(ac-bd)+(ad+bc)i;

(a+bi)/(c+di)=(ac+bd)/(c^2+d^2)+ (bc-ad)/(c^2+d^2)i;

還可以使用下面的公式得到復數的絕對值： |a+bi|=sqrt(a^2+b^2);

設計一個名為Complex的復數類來表示復數以及完成復數運算的add、substract、multiply、divide和 calAbs（絕對值）方法，并且覆寫toString方法以回傳一個表示復數的字串，方法toString回傳字串 a+bi，如果b是0，那么它只回傳a，

實作三個構造器：Complex(a, b)、Complex(a)和Complex()，Complex()創建數字0的Complex 物件，而Complex(a)創建一個b為0的Complex物件， 還提供getA()和getB()方法以回傳復數的實部和虛部，

撰寫一個測驗程式，提示用戶輸入兩個復數，然后顯示它們做加、減、乘、除之后的結果，

import java.util.Scanner;


 class Complex {
    private double realPart;
    private double imaginPart;

     Complex(double r, double i) {
        this.realPart = r;
        this.imaginPart = i;
    }

     Complex(double real){
        this.realPart=real;
        this.imaginPart=0;
    }

     Complex() {
        this.realPart = 0;
        this.imaginPart = 0;
    }//3個構造方法//

    public double getB() {
        return this.imaginPart;
    }//回傳imagine的值//

    public double getA() {
        return this.realPart;
    }//回傳real的值//

    public  Complex complexAdd(Complex a) {//傳進來的complex a和b類似于c中的指標
        Complex c = new Complex();//定義一個c的complex類給c初始化
        c.realPart = this.realPart + a.realPart;
        c.imaginPart = this.imaginPart + a.imaginPart;
        return c;//回傳c這個子類的值//
    }

    public Complex complexSubtract(Complex a) {
        Complex c = new Complex();
        c.realPart = this.realPart - a.realPart;
        c.imaginPart = this.imaginPart - a.imaginPart;
        return c;
    }//減法//

    public  Complex mutiply(Complex a) {
        Complex c = new Complex();
        c.realPart = this.realPart * a.realPart - this.imaginPart * a.imaginPart;
        c.imaginPart = this.realPart * a.imaginPart + this.imaginPart * a.realPart;
        return c;
    }

    public  Complex divide(Complex a) {
        Complex c = new Complex();
        c.realPart = (a.realPart * this.realPart + a.imaginPart * this.imaginPart) / (a.realPart * a.realPart + a.imaginPart * a.imaginPart);
        c.imaginPart = (a.realPart * this.imaginPart - this.realPart * a.imaginPart) / (a.realPart * a.realPart + a.imaginPart * a.imaginPart);
        return c;
    }

    public double calAbs() {
        double temp = Math.sqrt(this.realPart * this.realPart +this.imaginPart * this.imaginPart);
        return temp;
    }//求模//


    public String toString() {
        if (this.realPart >= 0 && this.realPart < 0.01) {
            if (this.imaginPart >= 0 && this.imaginPart < 0.01)
                return "0.00";
            else
                return String.format("%.2fi", this.imaginPart);
        }
        else {
            if (this.imaginPart >= 0 && this.imaginPart < 0.01)
                return String.format("%.2f", this.realPart);
            else
                if (this.imaginPart > 0)
                return String.format("%.2f+%.2fi", this.realPart, this.imaginPart);
            else
                return String.format("%.2f%.2fi", this.realPart, this.imaginPart);
        }
    }
}

 class Main{
    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        double real1=in.nextDouble();
        double image1=in.nextDouble();
        double real2=in.nextDouble();
        double image2=in.nextDouble();
        Complex a=new Complex(real1,image1);
        Complex b=new Complex(real2,image2);
        System.out.printf("Real:%.2f imaginary:%.2f Fabs:%.2f\n",a.getA(),a.getB(),a.calAbs());
        System.out.printf("Real:%.2f imaginary:%.2f Fabs:%.2f\n",b.getA(),b.getB(),b.calAbs());
        System.out.println(a.complexAdd(b));
        System.out.println(a.complexSubtract(b));
        System.out.println(a.mutiply(b));
        System.out.println(a.divide(b));
    }
}

前前后后花了2天時間 看了幾十篇CSDN 問了大佬終于解決了 害 鐵廢物了
不足之處請大家指出改正！