Obiekt Liczby Zespolonej
************************

Python-owe obiekty liczby zespolonej są stworzone w C jako dwa
oddzielne typy: jeden jest strukturą w która reprezentuje prawdziwe
liczby zespolone, a drugi ujawnia tą strukturę dla Python-owego kodu.
API ma funkcje do operacji na obydwu typach.


Liczby zespolone jako struktury w 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.

type 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.

   double real
   double imag

   The structure is defined as:

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

Py_complex _Py_c_sum(Py_complex left, Py_complex right)

   Zwraca sumę dwóch liczb zespolonych wykorzystując strukturę
   "Py_complex" jako reprezentację.

Py_complex _Py_c_diff(Py_complex left, Py_complex right)

   Zwraca różnicę dwóch liczb zespolonych wykorzystując strukturę
   "Py_complex" jako reprezentację.

Py_complex _Py_c_neg(Py_complex num)

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

Py_complex _Py_c_prod(Py_complex left, Py_complex right)

   Zwraca iloczyn dwóch liczb zespolonych wykorzystując strukturę
   "Py_complex" jako reprezentację.

Py_complex _Py_c_quot(Py_complex dividend, Py_complex divisor)

   Zwraca iloraz dwóch liczb zespolonych wykorzystując strukturę
   "Py_complex" jako reprezentację.

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

Py_complex _Py_c_pow(Py_complex num, Py_complex exp)

   Return the exponentiation of *num* by *exp*, using the C
   "Py_complex" representation.

   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.


Complex Numbers as Python Objects
=================================

type PyComplexObject

   This subtype of "PyObject" represents a Python complex number
   object.

PyTypeObject PyComplex_Type
    * Część stabilnego ABI.*

   This instance of "PyTypeObject" represents the Python complex
   number type. It is the same object as "complex" in the Python
   layer.

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_FromCComplex(Py_complex v)
    *Wartość zwracana: nowa referencja.*

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

PyObject *PyComplex_FromDoubles(double real, double imag)
    *Wartość zwracana: nowa referencja.** Część stabilnego ABI.*

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

double PyComplex_RealAsDouble(PyObject *op)
    * Część stabilnego ABI.*

   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.

   Zmienione w wersji 3.13: Use "__complex__()" if available.

double PyComplex_ImagAsDouble(PyObject *op)
    * Część stabilnego ABI.*

   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.

   Zmienione w wersji 3.13: Use "__complex__()" if available.

Py_complex PyComplex_AsCComplex(PyObject *op)

   Return the "Py_complex" value of the complex number *op*.

   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.

   Zmienione w wersji 3.8: Use "__index__()" if available.
