运算符重载complex类

C++ 利用运算符重载,重载 + - * /完成复数的运算

运算符重载 C++

编写一个复数类Complex，利用运算符重载，重载+，-，*，/，运算符完成复数的运算。

复数运算规则：

加法法则

复数的加法法则：设z1=a+bi,z2=c+di是任意两个复数。两者和的实部是原来两个复数实部的和，它的虚部是原来两个虚部的和。两个复数的和依然是复数。

即 (a+bi)±(c+di)=(a±c)+(b±d)i.

乘法法则

复数的乘法法则：把两个复数相乘，类似两个多项式相乘，结果中i^2 = ㄢ，把实部与虚部分别合并。两个复数的积仍然是一个复数。

即（a+bi)(c+di)=(ac－bd)+(bc+ad)i.

除法法则

复数除法定义：满足（c+di)(x+yi)=(a+bi）的复数x+yi(x,y∈R）叫复数a+bi除以复数c+di的商

运算方法：将分子和分母同时乘以分母的共轭复数，再用乘法法则运算，

即 (a+bi)/(c+di)

=[(a+bi)(c-di)]/[(c+di)(c-di)]

=[(ac+bd)+(bc-ad)i]/(c^2+d^2).

C++程序

#include<iostream.h>

class Complex

{

private:

C++ 利用运算符重载,重载 + - * /完成复数的运算

double b;

public:

};

Complex::Complex(double x,double y) {

a=x;

b=y;

}

Complex::Complex(Complex & s) { Complex() {} Complex(double x,double y); Complex(Complex & s); void seta(double x); void setb(double y); double geta(); double getb(); Complex operator +(Complex s); Complex operator -(Complex s); Complex operator *(Complex s); Complex operator /(Complex s); void show();

C++ 利用运算符重载,重载 + - * /完成复数的运算

} b=s.getb();

void Complex::seta(double x)

{

}

void Complex::setb(double y)

{

}

double Complex::geta()

{

}

double Complex::getb()

{

}

Complex Complex::operator +(Complex s) {

Complex c; c.seta(a+s.geta()); c.setb(b+s.getb()); return b; return a; b=y; a=x;

C++ 利用运算符重载,重载 + - * /完成复数的运算

} Complex Complex::operator -(Complex s) {

}

Complex Complex::operator *(Complex s) {

Complex c;

c.seta(a*s.geta()-b*s.getb()); c.setb(b*s.geta()+a*s.getb()); return c;

}

Complex Complex::operator /(Complex s) {

}

void Complex::show() Complex c; c.seta( (a*s.geta()+b*s.getb())/(s.geta()*s.geta()+s.getb()*s.getb()) ); c.setb( (b*s.geta()-a*s.getb())/(s.geta()*s.geta()+s.getb()*s.getb()) ); return c; Complex c; c.seta(a-s.geta()); c.setb(b-s.getb()); return c;

C++ 利用运算符重载,重载 + - * /完成复数的运算

}

int main() if(b>0) { } if(b==0) { } if(b<0) { } if(a==0) else cout<<a<<b<<"j"<<endl; cout<<b<<"j"<<endl; if(a==0) cout<<endl; if(a==0) else cout<<a<<"+"<<b<<"j"<<endl; cout<<b<<"j"<<endl; else cout<<a<<endl;

C++ 利用运算符重载,重载 + - * /完成复数的运算

} Complex a(2,3); Complex b(3,4); Complex c; c=a+b; c.show(); c=a-b; c.show(); c=a*b; c.show(); c=a/b; c.show(); return 0;