//Class so phuc

#include<conio.h>

#include<stdio.h>

#include<iostream.h>

#include<math.h>

//-------------

class sophuc

{

      private:

              double pa,pt;

      public:

             sophuc();

             sophuc(double a,double b);

             void nhap();

             void in();

             sophuc dd();

             sophuc lh();

             sophuc nd();

             sophuc operator+(sophuc sp);

             sophuc operator-(sophuc sp);

             sophuc operator*(sophuc sp);

             sophuc operator/(sophuc sp);

             friend double modul(sophuc sp);

             friend void bd(sophuc sp);

};

//-------------

sophuc::sophuc()

{pa=0;pt=0;}

//--------

sophuc::sophuc(double a,double b)

{

  pt=a;pa=b;

}

//------------

void sophuc::nhap()

{

   cout<<"

Nhap phan thuc: ";cin>>pt;

   cout<<"

Nhap phan ao: ";cin>>pa;

}

//----------

void sophuc::in()

{

     if(pa==0){cout<<"

z= "<<pt;}

     if(pt==0){cout<<"

z= "<<pa<<"i";}

     else

     {

       cout<<"

z= "<<pt<<" + "<<pa<<"i";

     }

}

//-----------

sophuc sophuc::dd()

{

    double a=-pt;

    double b=-pa;

    return sophuc(a,b);  

}

//------------

sophuc sophuc::lh()

{

    double a=pt;

    double b=-pa;

    return sophuc(a,b);

}

//-------------

double modul(sophuc sp)

{

       double a=sp.pt;

       double b=sp.pa;

       return sqrt(a*a+b*b);

}

//-------------

sophuc sophuc::nd()

{

       double a=pt/(pt*pt+pa*pa);

       double b=-(pa/(pt*pt+pa*pa));

       return sophuc(a,b);

}

//-----------

sophuc sophuc::operator+(sophuc sp)

{

       sophuc msp;

       msp.pt=this->pt;

       msp.pa=this->pa;

       double ptm=msp.pt+sp.pt;

       double pam=msp.pa+sp.pa;

       msp=sophuc(ptm,pam);

       return msp;

}

//------------

sophuc sophuc::operator-(sophuc sp)

{

       sophuc msp;

       msp.pt=this->pt;

       msp.pa=this->pa;

       double ptm=msp.pt-sp.pt;

       double pam=msp.pa-sp.pa;

       msp=sophuc(ptm,pam);

       return msp;

}

//-------------

sophuc sophuc::operator*(sophuc sp)

{

       sophuc msp;

       msp.pt=this->pt;

       msp.pa=this->pa;

       double ptm=((msp.pt*sp.pt)-(msp.pa*sp.pa));

       double pam=((msp.pt*sp.pt)+(msp.pa*sp.pa));

       msp=sophuc(ptm,pam);

       return msp;

}

//--------------

sophuc sophuc::operator/(sophuc sp)

{

       sophuc msp;

       msp.pt=this->pt;

       msp.pa=this->pa;

       return(msp*sp.nd());

}

//-----------

void bd(sophuc sp)

{

     double r=modul(sp);

     double a=sp.pt/r;

     double b=sp.pa/r;

     cout<<"

Bieu dien duoi dang luong giac: ";

     cout<<"z= "<<r<<"(arccos("<<a<<") + i arcsin("<<b<<"))";

}

//------------

int main()

{

    sophuc sp1,sp2,sp;

    cout<<"

Nhap :

";

    cout<<"

SP1:

";sp1.nhap();

    cout<<"

SP1 la: ";sp1.in();

    cout<<"

DSP1: ";sp1.dd().in();

    cout<<"

LHSP1 la: ";sp1.lh().in();

    cout<<"

NDSP1 la: ";sp1.nd().in();

    bd(sp1);

    cout<<"

Nhap:";sp2.nhap();

    cout<<"

SP2 la: ";sp2.in();

    cout<<"

DSP2: ";sp2.dd().in();

    cout<<"

LHSP2 la: ";sp2.lh().in();

    cout<<"

NDSP2 la: ";sp2.nd().in();

    bd(sp2);

    sp=sp1+sp2;

    cout<<"

Tong:";bd(sp);

    sp=sp1-sp2;

    cout<<"

Tru:";bd(sp);

    sp=sp1*sp2;

    cout<<"

Tich:";bd(sp);

    sp=sp1/sp2;

    cout<<"

Thuong:";bd(sp);

    getch();

}