# Objets représentant des nombres complexes

type PyComplexObject

  Ce sous-type de l'objet `PyObject` représente un nombre complexe en Python.

  Py_complex cval

    The complex number value, using the C `Py_complex` representation.

    Deprecated since version 3.15, will be removed in version 3.20: Use `PyComplex_AsCComplex()` and `PyComplex_FromCComplex()` to convert a Python complex number to/from the C `Py_complex` representation.

PyTypeObject PyComplex_Type
  Fait partie de l' ABI stable.

  Cette instance de `PyTypeObject` représente le type nombre complexe Python. C'est le même objet que la classe `complex` de la couche Python.

int PyComplex_Check(PyObject *p)

  Return true if its argument is a `PyComplexObject` or a subtype of `PyComplexObject`. This function always succeeds.

int PyComplex_CheckExact(PyObject *p)

  Return true if its argument is a `PyComplexObject`, but not a subtype of `PyComplexObject`. This function always succeeds.

PyObject *PyComplex_FromDoubles(double real, double imag)
  Valeur de retour : nouvelle référence. Fait partie de l' ABI stable.

  Return a new `PyComplexObject` object from real and imag. Return `NULL` with an exception set on error.

double PyComplex_RealAsDouble(PyObject *op)
  Fait partie de l' ABI stable.

  Return the real part of op as a C double.

  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. If `__complex__()` is not defined then it falls back to call `PyFloat_AsDouble()` and returns its result.

  Upon failure, this method returns `-1.0` with an exception set, so one should call `PyErr_Occurred()` to check for errors.

  Modifié dans la version 3.13: Use `__complex__()` if available.

double PyComplex_ImagAsDouble(PyObject *op)
  Fait partie de l' ABI stable.

  Return the imaginary part of op as a C double.

  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. If `__complex__()` is not defined then it falls back to call `PyFloat_AsDouble()` and returns `0.0` on success.

  Upon failure, this method returns `-1.0` with an exception set, so one should call `PyErr_Occurred()` to check for errors.

  Modifié dans la version 3.13: Use `__complex__()` if available.

type Py_complex

  This C structure defines an export format for a Python complex number object.

  double real
  double imag

  The structure is defined as:

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

PyObject *PyComplex_FromCComplex(Py_complex v)
  Valeur de retour : nouvelle référence.

  Create a new Python complex number object from a C `Py_complex` value. Return `NULL` with an exception set on error.

Py_complex PyComplex_AsCComplex(PyObject *op)

  Renvoie la valeur du nombre complexe op sous la forme d'un `Py_complex` en C.

  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. If `__complex__()` is not defined then it falls back to `__float__()`. If `__float__()` is not defined then it falls back to `__index__()`.

  Upon failure, this method returns `Py_complex` with `real` set to `-1.0` and with an exception set, so one should call `PyErr_Occurred()` to check for errors.

  Modifié dans la version 3.8: Use `__index__()` if available.

## Nombres complexes en tant que structures C

The API also provides functions for working with complex numbers, using the `Py_complex` representation. 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.

Please note, that these functions are soft deprecated since Python 3.15. Avoid using this API in a new code to do complex arithmetic: either use the Number Protocol API or use native complex types, like double complex.

Py_complex _Py_c_sum(Py_complex left, Py_complex right)

  Renvoie la somme de deux nombres complexes, sous la forme d'un `Py_complex` en C.

  Obsolète depuis la version 3.15.

Py_complex _Py_c_diff(Py_complex left, Py_complex right)

  Renvoie la différence de deux nombres complexes, sous la forme d'un `Py_complex` en C.

  Obsolète depuis la version 3.15.

Py_complex _Py_c_neg(Py_complex num)

  Return the negation of the complex number num, using the C `Py_complex` representation.

  Obsolète depuis la version 3.15.

Py_complex _Py_c_prod(Py_complex left, Py_complex right)

  Renvoie le produit de deux nombres complexes, sous la forme d'un `Py_complex` en C.

  Obsolète depuis la version 3.15.

Py_complex _Py_c_quot(Py_complex dividend, Py_complex divisor)

  Renvoie le quotient de deux nombres complexes, sous la forme d'un `Py_complex` en C.

  If divisor is null, this method returns zero and sets `errno` to `EDOM`.

  Obsolète depuis la version 3.15.

Py_complex _Py_c_pow(Py_complex num, Py_complex exp)

  Renvoie num à la puissance exp, sous la forme d'un `Py_complex` en C.

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

  Set `errno` to `ERANGE` on overflows.

  Obsolète depuis la version 3.15.

double _Py_c_abs(Py_complex num)

  Return the absolute value of the complex number num.

  Set `errno` to `ERANGE` on overflows.

  Obsolète depuis la version 3.15.