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#include<iostream.h> #include<math.h> class complex{ public: complex(); void setComplex(double r,double i); double fabs(complex a);//求复数绝对值（模） void print();//复数信息的输出 friend complex operator +(complex a,complex b);//求复数加法运算 friend complex operator -(complex a,complex b);//求复数减法运算 friend complex operator *(complex a,complex b);//求复数乘法运算 friend complex operator /(complex a,complex b); //求复数除法运算 complex pow(complex a,int n);//求复数乘方运算 friend complex operator ++(complex &a);//求复数自加运算 friend complex operator --(complex &a);//求复数自减运算 private: double real; double imag; }; complex::complex()//初始化信息 { real=0; imag=0; } void complex::setComplex(double r,double i) { real=r; imag=i; } double complex::fabs(complex a)//求复数绝对值（模） { double temp; temp=sqrt(a.real*a.real+a.imag*a.imag); return temp; } complex operator +(complex a,complex b)//求复数加法运算 { complex temp; temp.real=a.real+b.real; temp.imag=a.imag+b.imag; return temp; } complex operator -(complex a,complex b)//求复数减法运算 { complex temp; temp.real=a.real-b.real; temp.imag=a.imag-b.imag; return temp; } complex operator *(complex a,complex b)//求复数乘法运算 { complex temp; temp.real=a.real*b.real-a.imag*b.imag; temp.imag=a.real*b.imag+a.imag*b.real; return temp; } complex operator/(complex a,complex b)//求复数除法运算 { complex temp; double t; t=1/(b.real*b.real+b.imag*b.imag); temp.real=(a.real*b.real+a.imag*b.imag)*t; temp.imag=(b.real*a.imag-b.imag*a.real)*t; return temp; } complex complex::pow(complex a,int n)//求复数乘方运算 { complex temp; int i; temp.real=a.real; temp.imag=a.imag; for(i=1;i<n;i++) { temp.real=a.real*a.real-a.imag*a.imag; temp.imag=a.real*a.imag+a.imag*a.real; } return temp; } complex operator ++(complex &a)//求复数自加运算 { ++a.real; return a; } complex operator --(complex &a)//求复数自减运算 { --a.real; return a; } void complex::print()//输出复数信息 { cout<<real; if(imag>0) cout<<"+"; if(imag!=0) cout<<imag<<"i\n"; } void main() { complex A1,A2,A3,A4,A5,A6,A7,A8,A9; double a,b,c,d; short i,j,k,m,n=1; while (n==1) { cout<<"两个数的运算请按1，一个数的运算请按2："<<endl; cin>>i; if(i==1) { cout<<"请输入第一个数的实部"; cin>>a; cout<<"请输入第一个数的虚部"; cin>>b; cout<<"请输入第二个数的实部"; cin>>c; cout<<"请输入第二个数的虚部"; cin>>d; A1.setComplex(a,b); A2.setComplex(c,d); cout<<"n你输入的初始数据为A1="; A1.print(); cout<<"A2="; A2.print(); cout<<"加法运算请按1，减法运算请按2，乘法运算请按3，除法运算请按4："<<endl; cin>>j; switch(j) { case 1: A3=A1+A2; cout<<"A1+A2="; A3.print(); break; case 2: A4=A1-A2; cout<<"A1-A2="; A4.print(); break; case 3: A5=A1*A2; cout<<"A1*A2="; A5.print(); break; case 4: A6=A1/A2; cout<<"A1/A2="; A6.print(); break; default: return ; } } else if(i==2) { cout<<"请输入复数的实部"; cin>>a; cout<<"请输入复数的虚部"; cin>>b; A1.setComplex(a,b); A2.setComplex(a,b); cout<<"你输入的初始数据为A="; A1.print(); cout<<"求绝对值请按1，求乘方运算请按2，自加请按3，自减请按4："; cin>>k; switch(k) { case 1: cout<<"|A|="; cout<<A1.fabs(A1)<<endl; break; case 2: cout<<"请输入乘方数"; cin>>m; A7=A1.pow(A1,m); cout<<"A的"<<m<<"次乘方为："; A7.print(); break; case 3: A8=(++A1); cout<<"++A1="; A8.print(); break; case 4: A9=(--A2); cout<<"--A="; A9.print(); break; default: return ; } } else { cout<<"输入错误，请重新输入："<<endl; } cout<<"继续吗？继续请按1，退出请按2"; cin>>n; } }