
    sg                     `    d Z ddlmZmZmZ ddlmZ ddlmZ ddl	m
Z
 e
 G d de             Zy)	z6Implementation of :class:`PythonRationalField` class.     )PythonIntegerPythonRationalSymPyRational)RationalField)CoercionFailed)publicc                   z    e Zd ZdZeZ ed      Z ed      ZdZd Z	d Z
d Zd Zd	 Zd
 Zd Zd Zd Zd Zd Zy)PythonRationalFieldzRational field based on :ref:`MPQ`.

    This will be used as :ref:`QQ` if ``gmpy`` and ``gmpy2`` are not
    installed. Elements are instances of :ref:`MPQ`.
    r      	QQ_pythonc                      y )N )selfs    Z/var/www/html/venv/lib/python3.12/site-packages/sympy/polys/domains/pythonrationalfield.py__init__zPythonRationalField.__init__   s        c                     ddl m}  |       S )z'Returns ring associated with ``self``. r   )PythonIntegerRing)sympy.polys.domainsr   )r   r   s     r   get_ringzPythonRationalField.get_ring   s    9 ""r   c                 B    t        |j                  |j                        S )zConvert `a` to a SymPy object. )r   	numeratordenominatorr   as     r   to_sympyzPythonRationalField.to_sympy   s    Q[[!--88r   c                     |j                   r t        |j                  |j                        S |j                  r8ddlm} |j                  |      \  }}t        t        |      t        |            S t        d|z        )z%Convert SymPy's Rational to `dtype`. r   )RRz"expected `Rational` object, got %s)
is_Rationalr   pqis_Floatr   r   to_rationalintr   )r   r   r   r    r!   s        r   
from_sympyzPythonRationalField.from_sympy"   s`    ==!!##qss++ZZ.>>!$DAq!#a&#a&11 !E!IJJr   c                     t        |      S )z*Convert a Python `int` object to `dtype`. )r   K1r   K0s      r   from_ZZ_pythonz"PythonRationalField.from_ZZ_python-   s    a  r   c                     |S )z/Convert a Python `Fraction` object to `dtype`. r   r'   s      r   from_QQ_pythonz"PythonRationalField.from_QQ_python1   s    r   c                 *    t        t        |            S )z(Convert a GMPY `mpz` object to `dtype`. )r   r   r'   s      r   from_ZZ_gmpyz PythonRationalField.from_ZZ_gmpy5   s    mA.//r   c                 v    t        t        |j                               t        |j                                     S )z(Convert a GMPY `mpq` object to `dtype`. )r   r   numerdenomr'   s      r   from_QQ_gmpyz PythonRationalField.from_QQ_gmpy9   s*    mAGGI6+AGGI68 	8r   c                 f    |j                  |      \  }}t        t        |      t        |            S )z*Convert a mpmath `mpf` object to `dtype`. )r#   r   r$   )r(   r   r)   r    r!   s        r   from_RealFieldz"PythonRationalField.from_RealField>   s)    ~~a 1c!fc!f--r   c                     |j                   S )zReturns numerator of `a`. )r   r   s     r   r0   zPythonRationalField.numerC   s    {{r   c                     |j                   S )zReturns denominator of `a`. )r   r   s     r   r1   zPythonRationalField.denomG   s    }}r   N)__name__
__module____qualname____doc__r   dtypezeroonealiasr   r   r   r%   r*   r,   r.   r2   r4   r0   r1   r   r   r   r
   r
   	   s]     E8D
(CE#
9	K!08
.
r   r
   N)r:   sympy.polys.domains.groundtypesr   r   r   !sympy.polys.domains.rationalfieldr   sympy.polys.polyerrorsr   sympy.utilitiesr   r
   r   r   r   <module>rC      s3    < Y X ; 1 "?- ? ?r   