Complex Number Objects
**********************

type PyComplexObject

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

   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
    * Part of the Stable 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_FromDoubles(double real, double imag)
    *Return value: New reference.** Part of the Stable ABI.*

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

double PyComplex_RealAsDouble(PyObject *op)
    * Part of the Stable 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.

   Schimbat în versiunea 3.13: Use "__complex__()" if available.

double PyComplex_ImagAsDouble(PyObject *op)
    * Part of the Stable 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.

   Schimbat în versiunea 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)
    *Return value: New reference.*

   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)

   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.

   Schimbat în versiunea 3.8: Use "__index__()" if available.


Complex Numbers as C Structures
===============================

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)

   Return the sum of two complex numbers, using the C "Py_complex"
   representation.

   Învechit începând cu versiunea 3.15.

Py_complex _Py_c_diff(Py_complex left, Py_complex right)

   Return the difference between two complex numbers, using the C
   "Py_complex" representation.

   Învechit începând cu versiunea 3.15.

Py_complex _Py_c_neg(Py_complex num)

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

   Învechit începând cu versiunea 3.15.

Py_complex _Py_c_prod(Py_complex left, Py_complex right)

   Return the product of two complex numbers, using the C "Py_complex"
   representation.

   Învechit începând cu versiunea 3.15.

Py_complex _Py_c_quot(Py_complex dividend, Py_complex divisor)

   Return the quotient of two complex numbers, using the C
   "Py_complex" representation.

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

   Învechit începând cu versiunea 3.15.

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.

   Învechit începând cu versiunea 3.15.

double _Py_c_abs(Py_complex num)

   Return the absolute value of the complex number *num*.

   Set "errno" to "ERANGE" on overflows.

   Învechit începând cu versiunea 3.15.
