数据结构与算法---复数的具体实现（C++）

#include <iostream>
using namespace std;
typedef struct {
    double real;  //复数的实部 
    double imag;  //复数的虚部 
} Complex;

//复数的初始化
void initial(Complex *&z)
{
  z=new Complex; //给形参z一个复数的空间 
} 

//复数的赋值
void assignment(Complex *&z,double v1,double v2)
{
    z->real=v1;
    z->imag=v2;    
}
//复数的输出
void output(Complex *z)
{
    if(z->real)
    {
        if(z->imag==0)
            cout<<z->real<<endl;
        else if(z->imag==-1)
            cout<<z->real<<"-i"<<endl;
        else if(z->imag==1)
            cout<<z->real<<"+"<<"i"<<endl;
        else if(z->imag>0)
            cout<<z->real<<"+"<<z->imag<<"i"<<endl;
        else
            cout<<z->real<<z->imag<<"i"<<endl;
    }
    else
    {
        if(z->imag==0)
            cout<<"0"<<endl;
        else if(z->imag==-1)
            cout<<"-i"<<endl;
        else if(z->imag==1)
             cout<<"i"<<endl;
           else 
               cout<<z->imag<<"i"<<endl;
        
    }
}
//复数的和
void sum(Complex *z1,Complex *z2,Complex *&sum) 
{
    sum->real=z1->real+z2->real;
    sum->imag=z1->imag+z2->imag;
}

//复数的差
void difference(Complex *z1,Complex *z2,Complex *&dif)
{
    dif->real=z1->real-z2->real;
    dif->imag=z1->imag-z2->imag;    
} 

//复数的商
void Quotient(Complex *z1,Complex *z2,Complex *&quo)
{
    if(z2->real*z2->real+z2->imag*z2->imag)
    {
        quo->real=(z1->real*z2->real+z1->imag*z1->imag)/(z2->real*z2->real+z2->imag*z2->imag);
        quo->imag=(z2->real*z1->imag-z1->real*z2->imag)/(z2->real*z2->real+z2->imag*z2->imag);
    }
    else
    {
        cout<<"z1和z2无法进行相除，非法";    
    }
     
} 

//复数的销毁
void destroy(Complex *z)
{
    delete z;
} 

//复数的积
void product(Complex *z1,Complex *z2,Complex *&prod)
{
    prod->real=z1->real*z2->real-z1->imag*z2->imag;
    prod->imag=z1->real*z2->imag+z1->imag*z2->real; 
} 
int main()
{
    double a,b;    
    cout<<"请输入第一个复数的实部:";cin>>a;
    cout<<"请输入第一个复数的虚部:";cin>>b;
    Complex *z1;initial(z1);
    assignment(z1,a,b);
    cout<<"第一个复数为：";output(z1);
    
    double c,d; 
    cout<<"请输入第二个复数的实部:";cin>>c;
    cout<<"请输入第二个复数的虚部:";cin>>d;
    Complex *z2;initial(z2);
    assignment(z2,c,d);
    cout<<"第二个复数为：";output(z2);
    
    Complex *z3;initial (z3);
    sum(z1,z2,z3); 
    cout<<"两个复数的和为：";output(z3);
    
    Complex *diff;initial (diff);
    difference(z1,z2,diff);
    cout<<"两个复数的差为：";output(diff);
    
    Complex *quot;initial(quot);
    Quotient(z1,z2,quot);
    cout<<"两个复数的商为：";output(quot);
    
    Complex *pro;initial(pro);
    product(z1,z2,pro);
    cout<<"两个复数的积为：";output(pro);
    
    destroy(z1);
    destroy(z2);
    cout<<"销毁成功z1,z2"<<endl;
    
    
}