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operator- (<complex>)

Subtracts 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 subtracted 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 subtracted by the - operation.

Return Value

The complex number that results from the subtraction of _Right from _Left, the two numbers whose values 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 changes the sign of a complex number and returns a value whose real part is the negative of the real part of the number input and whose imaginary part is the negative of the imaginary part of the number input.

Example

// complex_op_sub.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> minus 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 << "Difference 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> minus 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 << "Difference 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 minus 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 << "Difference 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; 

   // Example of the fourth member function
   // minus 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)
Difference of two complex numbers is: cs1 = (1,-1)
The modulus of cs1 is: 1.41421
The argument of cs1 is: -0.785398 radians, which is -45 degrees.

The left-side complex number is cl2 = (3,4)
The right-side complex number is cr2 = 5
Difference of two complex numbers is: cs2 = (-2,4)
The modulus of cs2 is: 4.47214
The argument of cs2 is: 2.03444 radians, which is 116.565 degrees.

The left-side complex number is cl3 = 5
The right-side complex number is cr3 = (3,4)
Difference of two complex numbers is: cs3 = (2,-4)
The modulus of cs3 is: 4.47214
The argument of cs3 is: -1.10715 radians, which is -63.4349 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: -2.2143 radians, which is -126.87 degrees.

Requirements

Header: <complex>

Namespace: std

See Also

Concepts

<complex> Members