
    g#                     t   d Z ddlmZ ddlmZ ddlmZ  ede          \  ZZZ	Z
ZZZZZZZZZej        Zee	fe	e
feefeefeefe	efe	efe
efe
efeefeefeefeefeefeefeefeefeefeefeefeefeefeefgZd eD             Zd eD             Zeez   Zeez   e
dz  e
ez  z   edz  z   gz   Zd	 Zd
 ZdS )z,Benchmark of the Groebner bases algorithms.     )ring)QQ)groebnerzx1:13c                     g | ]
}|d z  dz
  S )       ).0xs     f/var/www/html/ai-engine/env/lib/python3.11/site-packages/sympy/polys/benchmarks/bench_groebnertools.py
<listcomp>r      s     Aq!tax    c                 6    g | ]\  }}|d z  ||z  z   |d z  z   S )   r	   )r
   r   ys      r   r   r      s1    (((TQq!taczAqD(((r   r   c                  H    t          t          t                    dgk    sJ d S Nr   )r   F_1Rr	   r   r   &time_vertex_color_12_vertices_23_edgesr      %    Cs""""""r   c                  H    t          t          t                    dgk    sJ d S r   )r   F_2r   r	   r   r   &time_vertex_color_12_vertices_24_edgesr      r   r   N)__doc__sympy.polys.ringsr   sympy.polys.domainsr   sympy.polys.groebnertoolsr   r   x1x2x3x4x5x6x7x8x9x10x11x12gensVEF3Fgr   r   r   r   r	   r   r   <module>r0      s   2 2 # " " " " " " " " " " " . . . . . .7;tGR7H7H 42r2r2r2r2sCF"XBx"bB8b#YR2r(RQSH#YS	B8b"XBx"bB8bRUY	3Z#sb#YR2s)b#YS	S ((Q(((2g2gQBQ&''# # ## # # # #r   