Objek Bilangan Kompleks
***********************

Objek Bilangan Kompleks Python memiliki dua tipe implementasi berbeda
jika dilihat dari API Bahasa C: pertama adalah objek Python yang
terekspos ke program-program Python, dan yang kedua adalah struktur C
yang merepresentasikan nilai bilangan kompleks sebenarnya. API
tersebut memberikan fungsi-fungsi untuk bekerja dengan kedua tipe
implementasi.


Bilangan Kompleks sebagai Struktur 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

   Struktur C yang berhubungan dengan bagian nilai objek bilangan
   kompleks Python. Sebagian besar dari fungsi-fungsi yang mengurus
   objek bilangan kompleks menggunakan struktur tipe ini sebagai nilai
   input atau output, sesuai penggunaannya. Ini didefinisikan sebagai:

      typedef struct {
         double real;
         double imag;
      } Py_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.

Py_complex _Py_c_diff(Py_complex left, Py_complex right)

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

Py_complex _Py_c_neg(Py_complex complex)

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

Py_complex _Py_c_prod(Py_complex left, Py_complex right)

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

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".

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".


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

PyComplexObject

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

PyTypeObject PyComplex_Type

   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".

int PyComplex_CheckExact(PyObject *p)

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

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*.

   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 "-1.0" as a real value.

   Berubah pada versi 3.8: Use "__index__()" if available.
