a
    lº”hè  ã                   @   sX   d dl 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 G dd„ deƒZdS )	é    )Ú
AtomicExprÚSymbolÚS)Ú_sympify)Ú
prettyForm)Ú
PRECEDENCE)Ú
NumberKindc                       sv   e Zd ZdZeZd‡ fdd„	ZdZdZe	dd„ ƒZ
dZdd	„ Zdd
d„Zddd„Zed Ze	dd„ ƒZdd„ Z‡  ZS )Ú
BaseScalarzb
    A coordinate symbol/base scalar.

    Ideally, users should not instantiate this class.

    Nc                    sÜ   ddl m} |d u r d |¡}nt|tƒr0|j}|d u rDd |¡}nt|tƒrT|j}t|ƒ}t|ƒ}tƒ  | ||¡}t||ƒs†t	dƒ‚|t
ddƒvrœtdƒ‚||f|_|jd |j|   |_|_d	| |_||_||_|S )
Nr   )Ú
CoordSys3Dzx{}zx_{}zsystem should be a CoordSys3Dé   zInvalid index specified.Ú.Ú )Zsympy.vector.coordsysrectr
   ÚformatÚ
isinstancer   Únamer   ÚsuperÚ__new__Ú	TypeErrorÚrangeÚ
ValueErrorZ_idÚ_nameZ_variable_namesÚ_pretty_formÚ_latex_formÚ_system)ÚclsÚindexÚsystemZ
pretty_strZ	latex_strr
   Úobj©Ú	__class__© úA/var/www/auris/lib/python3.9/site-packages/sympy/vector/scalar.pyr      s,    




zBaseScalar.__new__Tc                 C   s   | hS ©Nr    ©Úselfr    r    r!   Úfree_symbols0   s    zBaseScalar.free_symbolsc                 C   s   | |krt jS t jS r"   )r   ZOneZZero)r$   Úsr    r    r!   Ú_eval_derivative6   s    zBaseScalar._eval_derivativec                 C   s   | j S r"   )r   ©r$   Úprinterr    r    r!   Ú_latex;   s    zBaseScalar._latexc                 C   s
   t | jƒS r"   )r   r   r(   r    r    r!   Ú_pretty>   s    zBaseScalar._prettyZAtomc                 C   s   | j S r"   )r   r#   r    r    r!   r   C   s    zBaseScalar.systemc                 C   s   | j S r"   )r   r(   r    r    r!   Ú	_sympystrG   s    zBaseScalar._sympystr)NN)N)N)Ú__name__Ú
__module__Ú__qualname__Ú__doc__r   Úkindr   Zis_commutativeZ	is_symbolÚpropertyr%   Z	_diff_wrtr'   r*   r+   r   Ú
precedencer   r,   Ú__classcell__r    r    r   r!   r	      s   



r	   N)Z
sympy.corer   r   r   Zsympy.core.sympifyr   Z sympy.printing.pretty.stringpictr   Zsympy.printing.precedencer   Zsympy.core.kindr   r	   r    r    r    r!   Ú<module>   s
   