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# operator/ (<complex>)

Visual Studio 2013

Divides two complex numbers, one or both of which may belong to the subset of the type for the real and imaginary parts.

```template<class Type>
complex<Type> operator*(
const complex<Type>& _Left,
const complex<Type>& _Right
);
template<class Type>
complex<Type> operator*(
const complex<Type>& _Left,
const Type& _Right
);
template<class Type>
complex<Type> operator*(
const Type& _Left,
const complex<Type>& _Right
);
```
_Left

A complex number or a number that is of the parameter type for a complex number that is the numerator to be divided by the denominator with the / operation.

_Right

A complex number or a number that is of the parameter type for a complex number that is the denominator to be used to divide the numerator with the / operation.

The complex number that results from the division of the numerator by the denominator, the values of which are specified by the parameter inputs.

The operation is overloaded so that simple arithmetic operations can be executed without the conversion of the data to a particular format.

```// complex_op_div.cpp
// compile with: /EHsc
#include <complex>
#include <iostream>

int main( )
{
using namespace std;
double pi = 3.14159265359;

// Example of the first member function
// type complex<double> divided by type complex<double>
complex <double> cl1 ( polar ( 3.0 , pi / 6 ) );
complex <double> cr1 ( polar ( 2.0 , pi / 3 ) );
complex <double> cs1 = cl1 / cr1;

cout << "The left-side complex number is cl1 = " << cl1 << endl;
cout << "The right-side complex number is cr1 = " << cr1 << endl;
cout << "The quotient of the two complex numbers is: cs1 = cl1 /cr1 = "
<< cs1 << endl;
double abscs1 = abs ( cs1 );
double argcs1 = arg ( cs1 );
cout << "The modulus of cs1 is: " << abscs1 << endl;
cout << "The argument of cs1 is: "<< argcs1 << " radians, which is "
<< argcs1 * 180 / pi << " degrees." << endl << endl;

// example of the second member function
// type complex<double> divided by type double
complex <double> cl2 ( polar (3.0 , pi / 6 ) );
double cr2 =5;
complex <double> cs2 = cl2 / cr2;

cout << "The left-side complex number is cl2 = " << cl2 << endl;
cout << "The right-side complex number is cr2 = " << cr2 << endl;
cout << "The quotient of the two complex numbers is: cs2 = cl2 /cr2 = "
<< cs2 << endl;
double abscs2 = abs ( cs2 );
double argcs2 = arg ( cs2 );
cout << "The modulus of cs2 is: " << abscs2 << endl;
cout << "The argument of cs2 is: "<< argcs2 << " radians, which is "
<< argcs2 * 180 / pi << " degrees." << endl << endl;

// Example of the third member function
// type double divided by type complex<double>
double cl3 = 5;
complex <double> cr3 ( polar ( 3.0 , pi / 6 ) );
complex <double> cs3 = cl3 / cr3;

cout << "The left-side complex number is cl3 = " << cl3 << endl;
cout << "The right-side complex number is cr3 = " << cr3 << endl;
cout << "The quotient of the two complex numbers is: cs3 = cl3 /cr2 = "
<< cs3 << endl;
double abscs3 = abs ( cs3 );
double argcs3 = arg ( cs3 );
cout << "The modulus of cs3 is: " << abscs3 << endl;
cout << "The argument of cs3 is: "<< argcs3 << " radians, which is "
<< argcs3 * 180 / pi << " degrees." << endl << endl;
}
```
```The left-side complex number is cl1 = (2.59808,1.5)
The right-side complex number is cr1 = (1,1.73205)
The quotient of the two complex numbers is: cs1 = cl1 /cr1 = (1.29904,-0.75)
The modulus of cs1 is: 1.5
The argument of cs1 is: -0.523599 radians, which is -30 degrees.

The left-side complex number is cl2 = (2.59808,1.5)
The right-side complex number is cr2 = 5
The quotient of the two complex numbers is: cs2 = cl2 /cr2 = (0.519615,0.3)
The modulus of cs2 is: 0.6
The argument of cs2 is: 0.523599 radians, which is 30 degrees.

The left-side complex number is cl3 = 5
The right-side complex number is cr3 = (2.59808,1.5)
The quotient of the two complex numbers is: cs3 = cl3 /cr2 = (1.44338,-0.833333)
The modulus of cs3 is: 1.66667
The argument of cs3 is: -0.523599 radians, which is -30 degrees.```