# Java实现复数Complex的加减乘除运算、取模、求幅角角度

/**
* @Author: Yeman
* @Date: 2021-09-23-9:03
* @Description:
*/
class Complex{
private double realPart;  //复数的实部
private double imaginaryPart;  //复数的虚部
public Complex() { //空参构造器
}
public Complex(double realPart, double imaginaryPart) {
this.realPart = realPart;
this.imaginaryPart = imaginaryPart;
}
//属性的get、set方法
public double getRealPart() {
return realPart;
}
public void setRealPart(double realPart) {
this.realPart = realPart;
}
public double getImaginaryPart() {
return imaginaryPart;
}
public void setImaginaryPart(double imaginaryPart) {
this.imaginaryPart = imaginaryPart;
}
//加法运算
public Complex add(Complex otherComplex){
if (otherComplex != null) {
return new Complex(this.getRealPart() + otherComplex.getRealPart(),this.getImaginaryPart() + otherComplex.getImaginaryPart());
}else throw new RuntimeException("参与运算的对象为空！");
}
//减法运算
public Complex decrease(Complex otherComplex){
if (otherComplex != null) {
return new Complex(this.getRealPart() - otherComplex.getRealPart(),this.getImaginaryPart() - otherComplex.getImaginaryPart());
}else throw new RuntimeException("参与运算的对象为空！");
}
//乘法运算
public Complex multiply(Complex otherComplex){
if (otherComplex != null) {
double newReal = this.getRealPart() * otherComplex.getRealPart() - this.getImaginaryPart() * otherComplex.getImaginaryPart();
double newImaginary = this.getImaginaryPart() * otherComplex.getRealPart() + this.getRealPart() * otherComplex.getImaginaryPart();
return new Complex(newReal,newImaginary);
}else throw new RuntimeException("参与运算的对象为空！");
}
//除法运算
public Complex divide(Complex otherComplex){
if (otherComplex != null) {
if (otherComplex.getRealPart() != 0 && otherComplex.getImaginaryPart() != 0){
double newReal = (this.getRealPart() * otherComplex.getRealPart() + this.getImaginaryPart() * otherComplex.getImaginaryPart()) / (otherComplex.getRealPart() * otherComplex.getRealPart() + otherComplex.getImaginaryPart() * otherComplex.getImaginaryPart());
double newImaginary = (this.getImaginaryPart() * otherComplex.getRealPart() - this.getRealPart() * otherComplex.getImaginaryPart()) / (otherComplex.getRealPart() * otherComplex.getRealPart() + otherComplex.getImaginaryPart() * otherComplex.getImaginaryPart());
return new Complex(newReal,newImaginary);
}else throw new RuntimeException("除数不能为0！");
}else throw new RuntimeException("参与运算的对象为空！");
}
//取模
public double delivery(){
return Math.sqrt(this.getRealPart() * this.getRealPart() + this.getImaginaryPart() * this.getImaginaryPart());
}
//幅度值（角度）
public double angle(){
double atan;
if (this.getRealPart() != 0) { //注意，该处double型变量若有进行其他操作，则不能以此方式判断其等于0，应该是其绝对值小于某个很小的数；而这当前情景下，其实精度问题并不影响，因此可以这样写
atan = Math.atan(this.getImaginaryPart() / this.getRealPart());
}else {
if (this.getImaginaryPart() > 0) {
atan = Math.PI / 2;
}else if (this.getImaginaryPart() < 0){
atan = -Math.PI / 2;
}else atan = Math.atan(0);
}
return atan;
}
}
//测试主类
public class ComplexTest {
public static void main(String[] args) {
Complex complex1 = new Complex(0, 5);
Complex complex2 = new Complex(3, -3);
//取模测试
double delivery = complex1.delivery();
System.out.println("(" + complex1.getRealPart() + "+" + complex1.getImaginaryPart() + "i" + ")" + "的模为：" + delivery);
//求角度测试
double angle = complex1.angle();
System.out.println("(" + complex1.getRealPart() + "+" + complex1.getImaginaryPart() + "i" + ")" + "的角度为：" + Math.toDegrees(angle) + "°");
//加运算
System.out.println("(" + complex1.getRealPart() + "+" + complex1.getImaginaryPart() + "i" + ")" + "+" + "(" + complex2.getRealPart() + complex2.getImaginaryPart() + "i" + ")" + "=" + "(" + add.getRealPart() + "+" + add.getImaginaryPart() + "i" + ")");
//减运算
Complex decrease = complex1.decrease(complex2);
System.out.println("(" + complex1.getRealPart() + "+" + complex1.getImaginaryPart() + "i" + ")" + "-" + "(" + complex2.getRealPart() + complex2.getImaginaryPart() + "i" + ")" + "=" + "(" + decrease.getRealPart() + "+" + decrease.getImaginaryPart() + "i" + ")");
//乘法运算
Complex multiply = complex1.multiply(complex2);
System.out.println("(" + complex1.getRealPart() + "+" + complex1.getImaginaryPart() + "i" + ")" + "x" + "(" + complex2.getRealPart() + complex2.getImaginaryPart() + "i" + ")" + "=" + "(" + multiply.getRealPart() + "+" + multiply.getImaginaryPart() + "i" + ")");
//除法运算
Complex divide = complex1.divide(complex2);
System.out.println("(" + complex1.getRealPart() + "+" + complex1.getImaginaryPart() + "i" + ")" + "/" + "(" + complex2.getRealPart() + complex2.getImaginaryPart() + "i" + ")" + "=" + "(" + divide.getRealPart() + "+" + divide.getImaginaryPart() + "i" + ")");
}
}

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