a
    kº”hÝ  ã                   @   sp   d Z ddlmZmZmZmZmZmZm	Z
 ddlmZ ddlmZ ddlmZ ddlmZ eG dd„ deƒƒZd	S )
z2Implementation of :class:`GMPYIntegerRing` class. é    )ÚGMPYIntegerÚSymPyIntegerÚ	factorialÚ
gmpy_gcdexÚgmpy_gcdÚgmpy_lcmÚsqrt)Ú
int_valued)ÚIntegerRing)ÚCoercionFailed)Úpublicc                   @   s¸   e Zd ZdZeZedƒZedƒZeeƒZ	dZ
dd„ Zdd„ Zd	d
„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd „ Zd!d"„ Zd#d$„ Zd%d&„ Zd'S )(ÚGMPYIntegerRingz³Integer ring based on GMPY's ``mpz`` type.

    This will be the implementation of :ref:`ZZ` if ``gmpy`` or ``gmpy2`` is
    installed. Elements will be of type ``gmpy.mpz``.
    r   é   ZZZ_gmpyc                 C   s   dS )z$Allow instantiation of this domain. N© )Úselfr   r   úQ/var/www/auris/lib/python3.9/site-packages/sympy/polys/domains/gmpyintegerring.pyÚ__init__   s    zGMPYIntegerRing.__init__c                 C   s   t t|ƒƒS )z!Convert ``a`` to a SymPy object. )r   Úint©r   Úar   r   r   Úto_sympy   s    zGMPYIntegerRing.to_sympyc                 C   s4   |j rt|jƒS t|ƒr$tt|ƒƒS td| ƒ‚dS )z&Convert SymPy's Integer to ``dtype``. zexpected an integer, got %sN)Z
is_Integerr   Úpr	   r   r   r   r   r   r   Ú
from_sympy#   s
    
zGMPYIntegerRing.from_sympyc                 C   s
   |  |¡S )z3Convert ``ModularInteger(int)`` to GMPY's ``mpz``. ©Zto_int©ÚK1r   ÚK0r   r   r   Úfrom_FF_python,   s    zGMPYIntegerRing.from_FF_pythonc                 C   s   t |ƒS )z,Convert Python's ``int`` to GMPY's ``mpz``. )r   r   r   r   r   Úfrom_ZZ_python0   s    zGMPYIntegerRing.from_ZZ_pythonc                 C   s   |j dkrt|jƒS dS ©z1Convert Python's ``Fraction`` to GMPY's ``mpz``. r   N©Údenominatorr   Ú	numeratorr   r   r   r   Úfrom_QQ4   s    
zGMPYIntegerRing.from_QQc                 C   s   |j dkrt|jƒS dS r   r    r   r   r   r   Úfrom_QQ_python9   s    
zGMPYIntegerRing.from_QQ_pythonc                 C   s
   |  |¡S )z3Convert ``ModularInteger(mpz)`` to GMPY's ``mpz``. r   r   r   r   r   Úfrom_FF_gmpy>   s    zGMPYIntegerRing.from_FF_gmpyc                 C   s   |S )z*Convert GMPY's ``mpz`` to GMPY's ``mpz``. r   r   r   r   r   Úfrom_ZZ_gmpyB   s    zGMPYIntegerRing.from_ZZ_gmpyc                 C   s   |j dkr|jS dS )z(Convert GMPY ``mpq`` to GMPY's ``mpz``. r   N)r!   r"   r   r   r   r   Úfrom_QQ_gmpyF   s    
zGMPYIntegerRing.from_QQ_gmpyc                 C   s"   |  |¡\}}|dkrt|ƒS dS )z,Convert mpmath's ``mpf`` to GMPY's ``mpz``. r   N)Zto_rationalr   )r   r   r   r   Úqr   r   r   Úfrom_RealFieldK   s    zGMPYIntegerRing.from_RealFieldc                 C   s   |j dkr|jS d S )Nr   )ÚyÚxr   r   r   r   Úfrom_GaussianIntegerRingR   s    
z(GMPYIntegerRing.from_GaussianIntegerRingc                 C   s   t ||ƒ\}}}|||fS )z)Compute extended GCD of ``a`` and ``b``. )r   )r   r   ÚbÚhÚsÚtr   r   r   ÚgcdexV   s    zGMPYIntegerRing.gcdexc                 C   s
   t ||ƒS )z Compute GCD of ``a`` and ``b``. )r   ©r   r   r-   r   r   r   Úgcd[   s    zGMPYIntegerRing.gcdc                 C   s
   t ||ƒS )z Compute LCM of ``a`` and ``b``. )r   r2   r   r   r   Úlcm_   s    zGMPYIntegerRing.lcmc                 C   s   t |ƒS )zCompute square root of ``a``. )Ú	gmpy_sqrtr   r   r   r   r   c   s    zGMPYIntegerRing.sqrtc                 C   s   t |ƒS )zCompute factorial of ``a``. )Úgmpy_factorialr   r   r   r   r   g   s    zGMPYIntegerRing.factorialN)Ú__name__Ú
__module__Ú__qualname__Ú__doc__r   ZdtypeZzeroZoneÚtypeÚtpÚaliasr   r   r   r   r   r#   r$   r%   r&   r'   r)   r,   r1   r3   r4   r   r   r   r   r   r   r      s.   	r   N)r:   Zsympy.polys.domains.groundtypesr   r   r   r6   r   r   r   r   r5   Zsympy.core.numbersr	   Zsympy.polys.domains.integerringr
   Zsympy.polys.polyerrorsr   Zsympy.utilitiesr   r   r   r   r   r   Ú<module>   s   $