o
    GZŽhè  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r|j}|d u r"d |¡}nt|tƒr*|j}t|ƒ}t|ƒ}tƒ  | ||¡}t||ƒsCt	dƒ‚|t
ddƒvrNt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systemÚ
pretty_strZ	latex_strr
   Úobj©Ú	__class__© úB/var/www/auris/lib/python3.10/site-packages/sympy/vector/scalar.pyr      s,   




zBaseScalar.__new__Tc                 C   s   | hS ©Nr!   ©Úselfr!   r!   r"   Úfree_symbols0   ó   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   ó   | j S r#   )r   ©r%   Úprinterr!   r!   r"   Ú_latex;   ó   zBaseScalar._latexc                 C   s
   t | jƒS r#   )r   r   r+   r!   r!   r"   Ú_pretty>   s   
zBaseScalar._prettyZAtomc                 C   r*   r#   )r   r$   r!   r!   r"   r   C   r'   zBaseScalar.systemc                 C   r*   r#   )r   r+   r!   r!   r"   Ú	_sympystrG   r.   zBaseScalar._sympystr)NNr#   )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   r0   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    