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# operator/ (<complex>)

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

## Syntax

```
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
);
```

## Parameters

_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.

## Return Value

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

## Remarks

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

## Example

```// 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.```