a
    RG5d                  	   @   s   d Z ddlmZmZ ddlmZ ddlmZ ddlm	Z	 ddl
mZ ddlmZ edd	dddddd
ZeG dd deee	Ze ZdS )z3Implementation of :class:`ExpressionDomain` class.     )sympifySympifyError)CharacteristicZero)Field)SimpleDomain)PicklableWithSlots)publicFT)deepmul	power_exp
power_basebasicmultinomiallogc                   @   s  e Zd ZdZd ZZG dd deZeZedZ	edZ
dZd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$ Zd%d& Zd'd( Zd)d* Zd+d, Zd-d. Z d/d0 Z!d1d2 Z"d3d4 Z#d5d6 Z$d7d8 Z%d9d: Z&d;S )<ExpressionDomainz#A class for arbitrary expressions. Tc                   @   s   e Zd Zd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$ Zd%d& Zd'd( Zd)d* Zd+d, Zd-d. Zd/d0 Zd1d2 Zd3d4 Zd5S )6zExpressionDomain.ExpressionzAn arbitrary expression. exc                 C   s$   t || jst|| _n|j| _d S N)
isinstance	__class__r   r   )selfr    r   `/var/www/html/django/DPS/env/lib/python3.9/site-packages/sympy/polys/domains/expressiondomain.py__init__   s    z$ExpressionDomain.Expression.__init__c                 C   s   dt | j S NzEX(%s))reprr   fr   r   r   __repr__   s    z$ExpressionDomain.Expression.__repr__c                 C   s   dt | j S r   )strr   r   r   r   r   __str__"   s    z#ExpressionDomain.Expression.__str__c                 C   s   t | jj| jfS r   )hashr   __name__r   r   r   r   r   __hash__%   s    z$ExpressionDomain.Expression.__hash__c                 C   s   | j S r   r   r   r   r   r   as_expr(   s    z#ExpressionDomain.Expression.as_exprc                 C   s   |  | j d S )Nr   r   r   as_numer_denomr   r   r   r   numer+   s    z!ExpressionDomain.Expression.numerc                 C   s   |  | j d S N   r&   r   r   r   r   denom.   s    z!ExpressionDomain.Expression.denomc                 C   s   |  | jf i tS r   )r   cancelexpandeflags)r   r   r   r   r   simplify1   s    z$ExpressionDomain.Expression.simplifyc                 C   s   |  t| jS r   )r   absr   r   r   r   r   __abs__4   s    z#ExpressionDomain.Expression.__abs__c                 C   s   |  | j S r   )r   r   r   r   r   r   __neg__7   s    z#ExpressionDomain.Expression.__neg__c                 C   s&   z|  |W S  ty    Y d S 0 d S r   )r   r   r   gr   r   r   _to_ex:   s    z"ExpressionDomain.Expression._to_exc                 C   sH   |  |}|d u rtS |tjkr$| S | tjkr2|S | | j|j S d S r   r5   NotImplementedEXzeror/   r   r3   r   r   r   __add__@   s    


z#ExpressionDomain.Expression.__add__c                 C   s   |  | |j| j S r   r/   r   r   r3   r   r   r   __radd__L   s    z$ExpressionDomain.Expression.__radd__c                 C   sJ   |  |}|d u rtS |tjkr$| S | tjkr4| S | | j|j S d S r   r6   r3   r   r   r   __sub__O   s    


z#ExpressionDomain.Expression.__sub__c                 C   s   |  | |j| j S r   r;   r3   r   r   r   __rsub__[   s    z$ExpressionDomain.Expression.__rsub__c                 C   s^   |  |}|d u rtS tj| |fv r*tjS | jjrL|jjrL| | j|j S | | j|j S r   )r5   r7   r8   r9   r   	is_Numberr   r/   r3   r   r   r   __mul__^   s    
z#ExpressionDomain.Expression.__mul__c                 C   s   |  | |j| j S r   r;   r3   r   r   r   __rmul__k   s    z$ExpressionDomain.Expression.__rmul__c                 C   s,   |  |}|d ur$| | j|j S tS d S r   r5   r/   r   r7   )r   nr   r   r   __pow__n   s    
z#ExpressionDomain.Expression.__pow__c                 C   s,   |  |}|d ur$| | j|j S tS d S r   rB   r3   r   r   r   __truediv__v   s    
z'ExpressionDomain.Expression.__truediv__c                 C   s   |  | |j| j S r   r;   r3   r   r   r   __rtruediv__~   s    z(ExpressionDomain.Expression.__rtruediv__c                 C   s   | j | |j kS r   )r   r   r3   r   r   r   __eq__   s    z"ExpressionDomain.Expression.__eq__c                 C   s
   | |k S r   r   r3   r   r   r   __ne__   s    z"ExpressionDomain.Expression.__ne__c                 C   s
   | j j S r   )r   is_zeror   r   r   r   __bool__   s    z$ExpressionDomain.Expression.__bool__c                 C   s&   ddl m} | || j| |jS )Nr   )gcd)sympy.polysrK   r   r   )r   r4   rK   r   r   r   rK      s    zExpressionDomain.Expression.gcdc                 C   s&   ddl m} | || j| |jS )Nr   lcm)rL   rN   r   r   )r   r4   rN   r   r   r   rN      s    zExpressionDomain.Expression.lcmN)r"   
__module____qualname____doc__	__slots__r   r   r    r$   r%   r(   r+   r/   r1   r2   r5   r:   r<   r=   r>   r@   rA   rD   rE   rF   rG   rH   rJ   rK   rN   r   r   r   r   
Expression   s6   rS   r   r*   r8   Fc                 C   s   d S r   r   r#   r   r   r   r      s    zExpressionDomain.__init__c                 C   s   |  S )z!Convert ``a`` to a SymPy object. )r%   r   ar   r   r   to_sympy   s    zExpressionDomain.to_sympyc                 C   s
   |  |S )z)Convert SymPy's expression to ``dtype``. )dtyperT   r   r   r   
from_sympy   s    zExpressionDomain.from_sympyc                 C   s   | | |S z.Convert a Python ``int`` object to ``dtype``. rV   K1rU   K0r   r   r   from_ZZ   s    zExpressionDomain.from_ZZc                 C   s   | | |S rY   rZ   r[   r   r   r   from_ZZ_python   s    zExpressionDomain.from_ZZ_pythonc                 C   s   | | |S z3Convert a Python ``Fraction`` object to ``dtype``. rZ   r[   r   r   r   from_QQ   s    zExpressionDomain.from_QQc                 C   s   | | |S r`   rZ   r[   r   r   r   from_QQ_python   s    zExpressionDomain.from_QQ_pythonc                 C   s   | | |S )z,Convert a GMPY ``mpz`` object to ``dtype``. rZ   r[   r   r   r   from_ZZ_gmpy   s    zExpressionDomain.from_ZZ_gmpyc                 C   s   | | |S )z,Convert a GMPY ``mpq`` object to ``dtype``. rZ   r[   r   r   r   from_QQ_gmpy   s    zExpressionDomain.from_QQ_gmpyc                 C   s   | | |S z4Convert a ``GaussianRational`` object to ``dtype``. rZ   r[   r   r   r   from_GaussianIntegerRing   s    z)ExpressionDomain.from_GaussianIntegerRingc                 C   s   | | |S re   rZ   r[   r   r   r   from_GaussianRationalField   s    z+ExpressionDomain.from_GaussianRationalFieldc                 C   s   | | |S )z.Convert a mpmath ``mpf`` object to ``dtype``. rZ   r[   r   r   r   from_RealField   s    zExpressionDomain.from_RealFieldc                 C   s   | | |S )z'Convert a ``DMP`` object to ``dtype``. rZ   r[   r   r   r   from_PolynomialRing   s    z$ExpressionDomain.from_PolynomialRingc                 C   s   | | |S )z'Convert a ``DMF`` object to ``dtype``. rZ   r[   r   r   r   from_FractionField   s    z#ExpressionDomain.from_FractionFieldc                 C   s   |S )z&Convert a ``EX`` object to ``dtype``. r   r[   r   r   r   from_ExpressionDomain   s    z&ExpressionDomain.from_ExpressionDomainc                 C   s   | S )z)Returns a ring associated with ``self``. r   r#   r   r   r   get_ring   s    zExpressionDomain.get_ringc                 C   s   | S )z*Returns a field associated with ``self``. r   r#   r   r   r   	get_field   s    zExpressionDomain.get_fieldc                 C   s   |j  d jS )z#Returns True if ``a`` is positive. r   )r   as_coeff_mulis_positiverT   r   r   r   ro      s    zExpressionDomain.is_positivec                 C   s
   |j  S )z#Returns True if ``a`` is negative. )r   could_extract_minus_signrT   r   r   r   is_negative   s    zExpressionDomain.is_negativec                 C   s   |j  d jS )z'Returns True if ``a`` is non-positive. r   )r   rn   is_nonpositiverT   r   r   r   rr      s    zExpressionDomain.is_nonpositivec                 C   s   |j  d jS )z'Returns True if ``a`` is non-negative. r   )r   rn   is_nonnegativerT   r   r   r   rs      s    zExpressionDomain.is_nonnegativec                 C   s   |  S )zReturns numerator of ``a``. )r(   rT   r   r   r   r(      s    zExpressionDomain.numerc                 C   s   |  S )zReturns denominator of ``a``. )r+   rT   r   r   r   r+      s    zExpressionDomain.denomc                 C   s   | dS r)   r   r   rU   br   r   r   rK      s    zExpressionDomain.gcdc                 C   s
   | |S r   rM   rt   r   r   r   rN      s    zExpressionDomain.lcmN)'r"   rO   rP   rQ   is_SymbolicDomainis_EXr   rS   rW   r9   onerephas_assoc_Ringhas_assoc_Fieldr   rV   rX   r^   r_   ra   rb   rc   rd   rf   rg   rh   ri   rj   rk   rl   rm   ro   rq   rr   rs   r(   r+   rK   rN   r   r   r   r   r      sD   ~r   N)rQ   
sympy.corer   r   &sympy.polys.domains.characteristiczeror   sympy.polys.domains.fieldr    sympy.polys.domains.simpledomainr   sympy.polys.polyutilsr   sympy.utilitiesr   dictr.   r   r8   r   r   r   r   <module>   s   
 p