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# Objetos de Números Complexos

Python’s complex number objects are implemented as two distinct types when viewed from the C API: one is the Python object exposed to Python programs, and the other is a C structure which represents the actual complex number value. The API provides functions for working with both.

## Números complexos como estruturas C.

Note that the functions which accept these structures as parameters and return them as results do so by value rather than dereferencing them through pointers. This is consistent throughout the API.

`Py_complex`

  The C structure which corresponds to the value portion of a Python complex number object. Most of the functions for dealing with complex number objects use structures of this type as input or output values, as appropriate. It is defined as:

      typedef struct {
         double real;
         double imag;
      } Py_complex;

Py_complex `_Py_c_sum`(Py_complex left, Py_complex right)

  Retorna a soma de dois números complexos, utilizando a representação C `Py_complex`.

Py_complex `_Py_c_diff`(Py_complex left, Py_complex right)

  Retorna a diferença entre dois números complexos, utilizando a representação C `Py_complex`:

Py_complex `_Py_c_neg`(Py_complex complex)

  Retorna a negação do número complexo complex, utilizando a representação C `Py_complex`.

Py_complex `_Py_c_prod`(Py_complex left, Py_complex right)

  Retorna o produto de dois números complexos, utilizando a representação C `Py_complex`.

Py_complex `_Py_c_quot`(Py_complex dividend, Py_complex divisor)

  Retorna o quociente de dois números complexos, utilizando a representação C `Py_complex`.

  Se divisor é nulo, este método retorna zero e define `errno` para `EDOM`.

Py_complex `_Py_c_pow`(Py_complex num, Py_complex exp)

  Retorna a exponenciação de num por exp, utilizando a representação C `Py_complex`

  If num is null and exp is not a positive real number, this method returns zero and sets `errno` to `EDOM`.

## Números complexos como objetos Python

`PyComplexObject`

  Este subtipo de `PyObject` representa um objeto Python de número complexo.

PyTypeObject `PyComplex_Type`

  This instance of `PyTypeObject` represents the Python complex number type. It is the same object as `complex` and `types.ComplexType`.

int `PyComplex_Check`(PyObject *p)

  Return true if its argument is a `PyComplexObject` or a subtype of `PyComplexObject`.

  Alterado na versão 2.2: Allowed subtypes to be accepted.

int `PyComplex_CheckExact`(PyObject *p)

  Return true if its argument is a `PyComplexObject`, but not a subtype of `PyComplexObject`.

  Novo na versão 2.2.

PyObject* `PyComplex_FromCComplex`(Py_complex v)
  Return value: New reference.

  Create a new Python complex number object from a C `Py_complex` value.

PyObject* `PyComplex_FromDoubles`(double real, double imag)
  Return value: New reference.

  Return a new `PyComplexObject` object from real and imag.

double `PyComplex_RealAsDouble`(PyObject *op)

  Return the real part of op as a C `double`.

double `PyComplex_ImagAsDouble`(PyObject *op)

  Return the imaginary part of op as a C `double`.

Py_complex `PyComplex_AsCComplex`(PyObject *op)

  Return the `Py_complex` value of the complex number op. Upon failure, this method returns `-1.0` as a real value.

  Alterado na versão 2.6: If op is not a Python complex number object but has a `__complex__()` method, this method will first be called to convert op to a Python complex number object.