Program-Develop a class to represent complex number - OpenMeans

Develop a class to represent complex number. The class should have following member function.

A fⁿ to get the CN from user.
A fⁿ to display the CN
A fⁿ to add the two CN which are accepted as parameters.
Multiply
Subtract
Divide

Write suitable main fⁿ.

Program :-

#include

class complex

{

float r, i ;

Public:

void getcomplex ( ) ;

void display ( ) ;

void add (complex, complex) ;

void subtract ( complex, complex) ;

void multiply ( complex, complex) ;

void divide ( complex, complex) ;

};

void complex :: get complex ( )

{

cin>>r>>i;

}

void complex :: display ( )

{

cout<

}

void complex :: add (complex x, complex y)

{

r=x.r+y.r ;

i=x.i+y.i ;

}

void complex : subtract (complex x, complex y)

{

r= x.r – y.r ;

i= x.i – y.i ;

}

void complex : multiply (complex x, complex y)

{

r= x.r * y.r – x.i * y.i ;

i = x.i * y.r + x.r * y.i ;

}

void complex :: divide (complex x, complex y)

{

r=(x.r*y.r+x.i*yi) / (y.r*y.r+y.i+y.i) ;

i=(x.i*y.r –x.r*y.i) / (y.r*y.r+y.i*y.i) ;

}

Logic:- x.r x.i y.r y.i

(a+ib) (c+id) *

= (ac-bd) + i (bc + ad)

a+ib

c+id

= a+ib . c−id

c+id c−id *

= (ac+bd) + i (bc−ad)

(c²+d²)

Void main ( )

{

complex c1,c2, a, s, m, d ;

cout<<"Enter complex numbers="<<'\n' ;

cn.get complex ( ) ;

cout<<"Enter complex Number = "<<'\n' ;

c2. get complex ( ) ;

a. add ( c1, c2) ;

s. subtract (c1,c2) ;

m. multiply (c1,c2) ;

d. divide (c1,c2);

cout<<"Addition \n" ;

a.display ( ) ;

cout<<"Subtraction\n" ;

s.display ( ) ;

cout<<"multiplication\n" ;

m.display ( ) ;

cout<<"division\n";

d.display ( );

}

Method II

Addition of two CN.

#include

class complex

{

float r, i ;

public:

void getcomplex ( );

void display ( );

complex add (complex);

complex subtract (complex);

complex multiply (complex);

complex divide (complex);

};

void complex :: get complex ( )

{

cin>>r>>i;

}

void complex :: display ( ).

{

cout<

}

complex complex :: add (complex c)

{

complex temp;

temp.r = r+c.r;

temp.i = i+c.i;

return temp ;

}

complex complex :: multiply (complex c)

{

complex temp;

temp.r = r * c.r – i * c.i ;

temp.i = i * c.r + r* c.i ;

return temp ;

}

complex complex :: divide (complex c)

{

temp.r = (r*c.r + i * c.i) / ( c.r*c.r+c.i+c.i)

temp.i = (1*c.r – r* c.1) / (c.r*c.r+c.i*c.i) ;

return temp ;

}

complex complex :: subtract (complex)

{ temp.r = r – c.r ;

temp.i = i – c.i ;

return temp ;

}

void main ( )

{

complex c₁, c₂, a, s, m, d ;

cout<<"Enter CN = \n" ;

c1.getcomplex ( ) ;

cout<<"Enter CN = \n" ;

c₂.get complex ( );

a = c₁.add (c₂) ;

s= c₂.sbutract (c₂) ;

m = c₁.multiply (c₂) ;

d = c₁.divide (c₂) ;

cout<<"Addition=\n" ;

a.display ( );

cout<<"subtraction=\n";

a.display ( ) ;

cout<<"multiplication = \n" ;

m.display ( ) ;

cout<<"division=\n" ;

d.display ( );

}

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