operator+ (<complex>)

Article
07/11/2012

Adds 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 
   ); 
template<class Type> 
   complex<Type> operator+( 
      const complex<Type>& _Left 
   );

Parameters

_Left
The first of two complex numbers or a number that is of the parameter type for a complex number that is to be added by the + operation.
_Right
The second of two complex numbers or a number that is of the parameter type for a complex number that is to be added by the + operation.

Return Value

The complex number that results from the addition of the two numbers whose value and type 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. The unary operator returns _Left.

Example

// complex_op_add.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> plus type complex<double>
   complex <double> cl1 ( 3.0 , 4.0 );
   complex <double> cr1 ( 2.0 , 5.0 );
   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 sum of the two complex numbers is: cs1 = " << 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> plus type double
   complex <double> cl2 ( 3.0 , 4.0 );
   double cr2 =5.0;
   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 sum of the two complex numbers is: cs2 = " << 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 plus type complex<double>
   double cl3 = 5.0;
   complex <double> cr3 ( 3.0 , 4.0 );
   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 sum of the two complex numbers is: cs3 = " << 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; 

   // Example of the fourth member function
   // plus type complex<double>
   complex <double> cr4 ( 3.0 , 4.0 );
   complex <double> cs4 = + cr4;

   cout << "The right-side complex number is cr4 = " << cr4 << endl;
   cout << "The result of the unary application of + to the right-side"
        << "\n complex number is: cs4 = " << cs4 << endl;
   double abscs4 = abs ( cs4 );
   double argcs4 = arg ( cs4 );
   cout << "The modulus of cs4 is: " << abscs4 << endl;
   cout << "The argument of cs4 is: "<< argcs4 << " radians, which is " 
        << argcs4 * 180 / pi << " degrees." << endl << endl;  
}

The left-side complex number is cl1 = (3,4)
The right-side complex number is cr1 = (2,5)
The sum of the two complex numbers is: cs1 = (5,9)
The modulus of cs1 is: 10.2956
The argument of cs1 is: 1.0637 radians, which is 60.9454 degrees.

The left-side complex number is cl2 = (3,4)
The right-side complex number is cr2 = 5
The sum of the two complex numbers is: cs2 = (8,4)
The modulus of cs2 is: 8.94427
The argument of cs2 is: 0.463648 radians, which is 26.5651 degrees.

The left-side complex number is cl3 = 5
The right-side complex number is cr3 = (3,4)
The sum of the two complex numbers is: cs3 = (8,4)
The modulus of cs3 is: 8.94427
The argument of cs3 is: 0.463648 radians, which is 26.5651 degrees.

The right-side complex number is cr4 = (3,4)
The result of the unary application of + to the right-side
 complex number is: cs4 = (3,4)
The modulus of cs4 is: 5
The argument of cs4 is: 0.927295 radians, which is 53.1301 degrees.

Requirements

Header: <complex>

Namespace: std

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