数据结构与算法---复数的具体实现（C++）

  1 #include <iostream>
  2 using namespace std;
  3 typedef struct {
  4     double real;  //复数的实部 
  5     double imag;  //复数的虚部 
  6 } Complex;
  7 
  8 //复数的初始化
  9 void initial(Complex *&z)
 10 {
 11   z=new Complex; //给形参z一个复数的空间 
 12 } 
 13 
 14 //复数的赋值
 15 void assignment(Complex *&z,double v1,double v2)
 16 {
 17     z->real=v1;
 18     z->imag=v2;    
 19 }
 20 //复数的输出
 21 void output(Complex *z)
 22 {
 23     if(z->real)
 24     {
 25         if(z->imag==0)
 26             cout<<z->real<<endl;
 27         else if(z->imag==-1)
 28             cout<<z->real<<"-i"<<endl;
 29         else if(z->imag==1)
 30             cout<<z->real<<"+"<<"i"<<endl;
 31         else if(z->imag>0)
 32             cout<<z->real<<"+"<<z->imag<<"i"<<endl;
 33         else
 34             cout<<z->real<<z->imag<<"i"<<endl;
 35     }
 36     else
 37     {
 38         if(z->imag==0)
 39             cout<<"0"<<endl;
 40         else if(z->imag==-1)
 41             cout<<"-i"<<endl;
 42         else if(z->imag==1)
 43              cout<<"i"<<endl;
 44            else 
 45                cout<<z->imag<<"i"<<endl;
 46         
 47     }
 48 }
 49 //复数的和
 50 void sum(Complex *z1,Complex *z2,Complex *&sum) 
 51 {
 52     sum->real=z1->real+z2->real;
 53     sum->imag=z1->imag+z2->imag;
 54 }
 55 
 56 //复数的差
 57 void difference(Complex *z1,Complex *z2,Complex *&dif)
 58 {
 59     dif->real=z1->real-z2->real;
 60     dif->imag=z1->imag-z2->imag;    
 61 } 
 62 
 63 //复数的商
 64 void Quotient(Complex *z1,Complex *z2,Complex *&quo)
 65 {
 66     if(z2->real*z2->real+z2->imag*z2->imag)
 67     {
 68         quo->real=(z1->real*z2->real+z1->imag*z1->imag)/(z2->real*z2->real+z2->imag*z2->imag);
 69         quo->imag=(z2->real*z1->imag-z1->real*z2->imag)/(z2->real*z2->real+z2->imag*z2->imag);
 70     }
 71     else
 72     {
 73         cout<<"z1和z2无法进行相除，非法";    
 74     }
 75      
 76 } 
 77 
 78 //复数的销毁
 79 void destroy(Complex *z)
 80 {
 81     delete z;
 82 } 
 83 
 84 //复数的积
 85 void product(Complex *z1,Complex *z2,Complex *&prod)
 86 {
 87     prod->real=z1->real*z2->real-z1->imag*z2->imag;
 88     prod->imag=z1->real*z2->imag+z1->imag*z2->real; 
 89 } 
 90 int main()
 91 {
 92     double a,b;    
 93     cout<<"请输入第一个复数的实部:";cin>>a;
 94     cout<<"请输入第一个复数的虚部:";cin>>b;
 95     Complex *z1;initial(z1);
 96     assignment(z1,a,b);
 97     cout<<"第一个复数为：";output(z1);
 98     
 99     double c,d; 
100     cout<<"请输入第二个复数的实部:";cin>>c;
101     cout<<"请输入第二个复数的虚部:";cin>>d;
102     Complex *z2;initial(z2);
103     assignment(z2,c,d);
104     cout<<"第二个复数为：";output(z2);
105     
106     Complex *z3;initial (z3);
107     sum(z1,z2,z3); 
108     cout<<"两个复数的和为：";output(z3);
109     
110     Complex *diff;initial (diff);
111     difference(z1,z2,diff);
112     cout<<"两个复数的差为：";output(diff);
113     
114     Complex *quot;initial(quot);
115     Quotient(z1,z2,quot);
116     cout<<"两个复数的商为：";output(quot);
117     
118     Complex *pro;initial(pro);
119     product(z1,z2,pro);
120     cout<<"两个复数的积为：";output(pro);
121     
122     destroy(z1);
123     destroy(z2);
124     cout<<"销毁成功z1,z2"<<endl;
125     
126     
127 }
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