operator* (<complex>)

Article
07/11/2012

Multiplies 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 
   );

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 multiplied 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 multiplied by the * operation.

Return Value

The complex number that results from the multiplication 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.

Example

// complex_op_mult.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> times 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 << "Product of 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> times 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 << "Product of 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 times 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 << "Product of 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;
}

Sample Output

The following is output on x86.

The left-side complex number is cl1 = (2.59808,1.5)
The right-side complex number is cr1 = (1,1.73205)
Product of two complex numbers is: cs1 = (-6.20837e-013,6)
The modulus of cs1 is: 6
The argument of cs1 is: 1.5708 radians, which is 90 degrees.

The left-side complex number is cl2 = (2.59808,1.5)
The right-side complex number is cr2 = 5
Product of two complex numbers is: cs2 = (12.9904,7.5)
The modulus of cs2 is: 15
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)
Product of two complex numbers is: cs3 = (12.9904,7.5)
The modulus of cs3 is: 15
The argument of cs3 is: 0.523599 radians, which is 30 degrees.

Requirements

Header: <complex>

Namespace: std

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