C++ // Need to create a class which contains and operates on complex numbers. A complex number is defined as “a number that can be expressed in the form a + bi, where a and b are real numbers, and i is imaginary” a is called the real part and b is called the imaginary part. The class MyComplexClass will store the complex number as separate real part and imaginary part values.
MyComplexClass Private Member Variables
*One double for the real part.
*One double for the imaginary part.
*bool isWhole() Function that returns true if both the real and imaginary part are whole numbers (ie no decimal component).
MyComplexClass Public Member Variables
*int findGCD() - Returns the greatest common divisor (GCD) of the real part and imaginary part only when the real part and imaginary part are whole numbers. If the real part or imaginary part are not whole it returns 0. The GCD can be determined for whole numbers n1 and n2 with this logic:
IF n1 is negative
Convert n1 to positive
IF n2 is negative
Convert n2 to positive
FOR i = 1; i <= n1 && i <= n2; ++i
IF n1 % i == 0 && n2 % i == 0
gcd = i
END IF
END FOR
#include<bits/stdc++.h>
using namespace std;
class MyComplexClass
{
double real;
double img;
bool isWhole()
{
if(abs(real-int(real))==0 and
abs(img-int(img))==0) /// check for absence of decimal part
return(true); //
in case of absence of decimal , its actual and int value will be
equal
else // and difference will be zero
and it should be applicable for both return(false);
//data members
}
public:
MyComplexClass() // constructor ... you can skip this
part as you wish
{
real=0.0;
img=0.0;
}
void setValue(double a,double b) // since both member
variables are private , we must have a public function
{ // to set its values .
real=a;
img=b;
}
int findGCD()
{
if(isWhole()==false) // isWhole()
is a private member function but a public member function can
call
return(0); //
any private member function
else
{
int a=real; //
we don't want to change the actual complex number . so taking two
separate
int b=img; //
variables to find GCD
if(a<0) //
Rest part is according to the given algorithm
a=-a;
if(b<0)
b=-b;
int gcd;
for(int
i=1;i<=a and i<=b;++i)
{
if(a%i==0 and b%i==0)
gcd=i;
}
return(gcd);
}
}
};
int main()
{
MyComplexClass temp;
temp.setValue(10,25.0);
cout<<temp.findGCD()<<endl;
return(0);
}
// the Output in this case is : 5
C++ // Need to create a class which contains and operates on complex numbers. A complex...
C++ Complex Class!
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