Operadores `<complex>`

Artigo
10/12/2023

operator!=

Testa a desigualdade entre dois números complexos, um ou ambos podem pertencer ao subconjunto do tipo das partes reais e imaginárias.

template <class Type>
bool operator!=(
    const complex<Type>& left,
    const complex<Type>& right);

template <class Type>
bool operator!=(
    const complex<Type>& left,
    const Type& right);

template <class Type>
bool operator!=(
    const Type& left,
    const complex<Type>& right);

Parâmetros

esquerda
Um número complexo ou um objeto do seu tipo de parâmetro a ser testado quanto à desigualdade.

direita
Um número complexo ou um objeto do seu tipo de parâmetro a ser testado quanto à desigualdade.

Valor de retorno

true se os números não forem iguais; false se os números forem iguais.

Comentários

Dois números complexos são iguais se e somente se suas partes reais são iguais e suas partes imaginárias são iguais. Caso contrário, são diferentes.

A operação está sobrecarregada para os testes de comparação possam ser executados sem a conversão dos dados em um formato específico.

Exemplo

// complex_op_NE.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> compared with type complex<double>
   complex <double> cl1 ( polar (3.0, pi / 6 ) );
   complex <double> cr1a ( polar (3.0, pi /6 ) );
   complex <double> cr1b ( polar (2.0, pi / 3 ) );

   cout << "The left-side complex number is cl1 = " << cl1 << endl;
   cout << "The 1st right-side complex number is cr1a = " << cr1a << endl;
   cout << "The 2nd right-side complex number is cr1b = " << cr1b << endl;
   if ( cl1 != cr1a )
      cout << "The complex numbers cl1 & cr1a are not equal." << endl;
   else
      cout << "The complex numbers cl1 & cr1a are equal." << endl;
   if ( cl1 != cr1b )
      cout << "The complex numbers cl1 & cr1b are not equal." << endl;
   else
      cout << "The complex numbers cl1 & cr1b are equal." << endl;
   cout << endl;

   // Example of the second member function
   // type complex<int> compared with type int
   complex <int> cl2a ( 3, 4 );
   complex <int> cl2b ( 5,0 );
   int cr2a =3;
   int cr2b =5;

   cout << "The 1st left-side complex number is cl2a = " << cl2a << endl;
   cout << "The 1st right-side complex number is cr2a = " << cr2a << endl;
   if ( cl2a != cr2a )
      cout << "The complex numbers cl2a & cr2a are not equal." << endl;
   else
      cout << "The complex numbers cl2a & cr2a are equal." << endl;

   cout << "The 2nd left-side complex number is cl2b = " << cl2b << endl;
   cout << "The 2nd right-side complex number is cr2b = " << cr2b << endl;
   if ( cl2b != cr2b )
      cout << "The complex numbers cl2b & cr2b are not equal." << endl;
   else
      cout << "The complex numbers cl2b & cr2b are equal." << endl;
   cout << endl;

   // Example of the third member function
   // type double compared with type complex<double>
   double cl3a =3;
   double cl3b =5;
   complex <double> cr3a ( 3, 4 );
   complex <double> cr3b ( 5,0 );

   cout << "The 1st left-side complex number is cl3a = " << cl3a << endl;
   cout << "The 1st right-side complex number is cr3a = " << cr3a << endl;
   if ( cl3a != cr3a )
      cout << "The complex numbers cl3a & cr3a are not equal." << endl;
   else
      cout << "The complex numbers cl3a & cr3a are equal." << endl;

   cout << "The 2nd left-side complex number is cl3b = " << cl3b << endl;
   cout << "The 2nd right-side complex number is cr3b = " << cr3b << endl;
   if ( cl3b != cr3b )
      cout << "The complex numbers cl3b & cr3b are not equal." << endl;
   else
      cout << "The complex numbers cl3b & cr3b are equal." << endl;
   cout << endl;
}

The left-side complex number is cl1 = (2.59808,1.5)
The 1st right-side complex number is cr1a = (2.59808,1.5)
The 2nd right-side complex number is cr1b = (1,1.73205)
The complex numbers cl1 & cr1a are equal.
The complex numbers cl1 & cr1b are not equal.

The 1st left-side complex number is cl2a = (3,4)
The 1st right-side complex number is cr2a = 3
The complex numbers cl2a & cr2a are not equal.
The 2nd left-side complex number is cl2b = (5,0)
The 2nd right-side complex number is cr2b = 5
The complex numbers cl2b & cr2b are equal.

The 1st left-side complex number is cl3a = 3
The 1st right-side complex number is cr3a = (3,4)
The complex numbers cl3a & cr3a are not equal.
The 2nd left-side complex number is cl3b = 5
The 2nd right-side complex number is cr3b = (5,0)
The complex numbers cl3b & cr3b are equal.

operator*

Multiplica dois números complexos, um ou ambos podem pertencer ao subconjunto do tipo das partes reais e imaginárias.

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);

Parâmetros

esquerda
O primeiro de dois números complexos ou um número do tipo de parâmetro para um número complexo que deva ser multiplicado pela operação *.

direita
O segundo de dois números complexos ou um número do tipo de parâmetro para um número complexo que deva ser multiplicado pela operação *.

Valor de retorno

O número complexo que resulta da multiplicação de dois números cujo valor e tipo são especificados por entradas de parâmetros.

Comentários

A operação está sobrecarregada para que operações aritméticas simples possam ser executadas sem a conversão dos dados em um formato específico.

Exemplo

// 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;
}

operator+

Adiciona dois números complexos, um ou ambos podem pertencer ao subconjunto do tipo das partes reais e imaginárias.

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);

Parâmetros

esquerda
O primeiro de dois números complexos ou um número do tipo de parâmetro para um número complexo que deva ser adicionado pela operação +.

direita
O segundo de dois números complexos ou um número do tipo de parâmetro para um número complexo que deva ser adicionado pela operação +.

Valor de retorno

O número complexo que resulta da adição de dois números cujo valor e tipo são especificados por entradas de parâmetros.

Comentários

A operação está sobrecarregada para que operações aritméticas simples possam ser executadas sem a conversão dos dados em um formato específico. O operador unário retorna esquerda.

Exemplo

// 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.

operator-

Subtrai dois números complexos, um ou ambos podem pertencer ao subconjunto do tipo das partes reais e imaginárias.

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);

Parâmetros

esquerda
O primeiro de dois números complexos ou um número do tipo de parâmetro para um número complexo que deva ser subtraído pela operação –.

direita
O segundo de dois números complexos ou um número do tipo de parâmetro para um número complexo que deva ser subtraído pela operação –.

Valor de retorno

O número complexo que resulta da subtração de right e left, os dois números cujos valores são especificados pelas entradas de parâmetro.

Comentários

A operação está sobrecarregada para que operações aritméticas simples possam ser executadas sem a conversão dos dados em um formato específico.

O operador unário altera o sinal de um número complexo e retorna um valor cuja parte real é o negativo da parte real da entrada do número e cuja parte imaginária é o negativo da parte imaginária da entrada do número.

Exemplo

// 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.

operator/

Divide dois números complexos, um ou ambos podem pertencer ao subconjunto do tipo das partes reais e imaginárias.

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);

Parâmetros

esquerda
Um número complexo ou um número do tipo de parâmetro para um número complexo que é o numerador a ser dividido pelo denominador com a operação /.

direita
Um número complexo ou um número do tipo de parâmetro para um número complexo que é o denominador a ser usado para dividir o numerador com a operação /.

Valor de retorno

O número complexo que resulta da divisão do numerador pelo denominador. Os valores dela são especificados pelas entradas de parâmetro.

Comentários

A operação está sobrecarregada para que operações aritméticas simples possam ser executadas sem a conversão dos dados em um formato específico.

Exemplo

// 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.

`operator<<`

Insere um número complexo especificado no fluxo de saída.

template <class Type, class Elem, class Traits>
basic_ostream<Elem, Traits>& operator<<(
    basic_ostream<Elem, Traits>& Ostr,
    const complex<Type>& right);

Parâmetros

Ostr
O fluxo de saída no qual o número complexo está sendo inserido.

direita
O número complexo a ser inserido no fluxo de saída

Valor de retorno

Grava o valor do número complexo especificado no Ostr em um formato cartesiano: (parte real, parte imaginária).

Comentários

O fluxo de saída está sobrecarregado, de modo que ele aceitará qualquer forma de um número complexo e seu formato de saída padrão é o formato cartesiano.

Exemplo

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

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

   complex <double> c1 ( 3.0, 4.0 );
   cout << "Complex number c1 = " << c1 << endl;

   complex <double> c2  ( polar ( 2.0, pi / 6 ) );
   cout << "Complex number c2 = " << c2 << endl;

   // To display in polar form
   double absc2 = abs ( c2 );
   double argc2 = arg ( c2 );
   cout << "The modulus of c2 is: " << absc2 << endl;
   cout << "The argument of c2 is: "<< argc2 << " radians, which is "
        << argc2 * 180 / pi << " degrees." << endl << endl;
}

Complex number c1 = (3,4)
Complex number c2 = (1.73205,1)
The modulus of c2 is: 2
The argument of c2 is: 0.523599 radians, which is 30 degrees.

operator==

Testa a igualdade entre dois números complexos, um ou ambos podem pertencer ao subconjunto do tipo das partes reais e imaginárias.

template <class Type>
bool operator==(
    const complex<Type>& left,
    const complex<Type>& right);

template <class Type>
bool operator==(
    const complex<Type>& left,
    const Type& right);

template <class Type>
bool operator==(
    const Type& left,
    const complex<Type>& right);

Parâmetros

esquerda
Um número complexo ou um objeto do seu tipo de parâmetro a ser testado quanto à desigualdade.

direita
Um número complexo ou um objeto do seu tipo de parâmetro a ser testado quanto à desigualdade.

Valor de retorno

true se os números forem iguais; false se os números não forem iguais.

Comentários

Dois números complexos são iguais se e somente se suas partes reais são iguais e suas partes imaginárias são iguais. Caso contrário, são diferentes.

A operação está sobrecarregada para os testes de comparação possam ser executados sem a conversão dos dados em um formato específico.

Exemplo

// complex_op_EQ.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> compared with type complex<double>
   complex <double> cl1 ( polar ( 3.0, pi / 6 ) );
   complex <double> cr1a ( polar ( 3.0, pi /6 ) );
   complex <double> cr1b ( polar ( 2.0, pi / 3 ) );

   cout << "The left-side complex number is cl1 = " << cl1 << endl;
   cout << "The 1st right-side complex number is cr1a = " << cr1a << endl;
   cout << "The 2nd right-side complex number is cr1b = " << cr1b << endl;
   if ( cl1 == cr1a )
      cout << "The complex numbers cl1 & cr1a are equal." << endl;
   else
      cout << "The complex numbers cl1 & cr1a are not equal." << endl;
   if ( cl1 == cr1b )
      cout << "The complex numbers cl1 & cr1b are equal." << endl;
   else
      cout << "The complex numbers cl1 & cr1b are not equal." << endl;
   cout << endl;

   // Example of the second member function
   // type complex<int> compared with type int
   complex <int> cl2a ( 3, 4 );
   complex <int> cl2b ( 5,0 );
   int cr2a =3;
   int cr2b =5;

   cout << "The 1st left-side complex number is cl2a = " << cl2a << endl;
   cout << "The 1st right-side complex number is cr2a = " << cr2a << endl;
   if ( cl2a == cr2a )
      cout << "The complex numbers cl2a & cr2a are equal." << endl;
   else
      cout << "The complex numbers cl2a & cr2a are not equal." << endl;

   cout << "The 2nd left-side complex number is cl2b = " << cl2b << endl;
   cout << "The 2nd right-side complex number is cr2b = " << cr2b << endl;
   if ( cl2b == cr2b )
      cout << "The complex numbers cl2b & cr2b are equal." << endl;
   else
      cout << "The complex numbers cl2b & cr2b are not equal." << endl;
   cout << endl;

   // Example of the third member function
   // type double compared with type complex<double>
   double cl3a =3;
   double cl3b =5;
   complex <double> cr3a (3, 4 );
   complex <double> cr3b (5,0 );

   cout << "The 1st left-side complex number is cl3a = " << cl3a << endl;
   cout << "The 1st right-side complex number is cr3a = " << cr3a << endl;
   if ( cl3a == cr3a )
      cout << "The complex numbers cl3a & cr3a are equal." << endl;
   else
      cout << "The complex numbers cl3a & cr3a are not equal." << endl;

   cout << "The 2nd left-side complex number is cl3b = " << cl3b << endl;
   cout << "The 2nd right-side complex number is cr3b = " << cr3b << endl;
   if ( cl3b == cr3b )
      cout << "The complex numbers cl3b & cr3b are equal." << endl;
   else
      cout << "The complex numbers cl3b & cr3b are not equal." << endl;
   cout << endl;
}

The left-side complex number is cl1 = (2.59808,1.5)
The 1st right-side complex number is cr1a = (2.59808,1.5)
The 2nd right-side complex number is cr1b = (1,1.73205)
The complex numbers cl1 & cr1a are equal.
The complex numbers cl1 & cr1b are not equal.

The 1st left-side complex number is cl2a = (3,4)
The 1st right-side complex number is cr2a = 3
The complex numbers cl2a & cr2a are not equal.
The 2nd left-side complex number is cl2b = (5,0)
The 2nd right-side complex number is cr2b = 5
The complex numbers cl2b & cr2b are equal.

The 1st left-side complex number is cl3a = 3
The 1st right-side complex number is cr3a = (3,4)
The complex numbers cl3a & cr3a are not equal.
The 2nd left-side complex number is cl3b = 5
The 2nd right-side complex number is cr3b = (5,0)
The complex numbers cl3b & cr3b are equal.

`operator>>`

Extrai um valor complexo do fluxo de entrada.

template <class Type, class Elem, class Traits>
basic_istream<Elem, Traits>& operator>>(
   basic_istream<Elem, Traits>& Istr,
   complex<Type>& right);

Parâmetros

Istr
O fluxo de entrada do qual o número complexo está sendo extraído.

direita
O número complexo que está sendo extraído do fluxo de entrada.

Valor de retorno

Lê o valor do número complexo especificado de Istr e o retorna para right.

Comentários

Os formatos de entrada válidos são

( parte real, parte imaginária )
( parte real )
parte real

Exemplo

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

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

   complex <double> c2;

   cout << "Input a complex number ( try: 2.0 ): ";
   cin >> c2;
   cout << c2 << endl;
}

Input a complex number ( try: 2.0 ): 2.0
2.0

Compartilhar via

Operadores <complex>

operator!=

Parâmetros

Valor de retorno

Comentários

Exemplo

operator*

Parâmetros

Valor de retorno

Comentários

Exemplo

operator+

Parâmetros

Valor de retorno

Comentários

Exemplo

operator-

Parâmetros

Valor de retorno

Comentários

Exemplo

operator/

Parâmetros

Valor de retorno

Comentários

Exemplo

operator<<

Parâmetros

Valor de retorno

Comentários

Exemplo

operator==

Parâmetros

Valor de retorno

Comentários

Exemplo

operator>>

Parâmetros

Valor de retorno

Comentários

Exemplo

Comentários

Recursos adicionais

Operadores `<complex>`

`operator<<`

`operator>>`