
    g                     R    d dl Z d dlmZ d dlmZ d dlmZ d dlmZm	Z	 d Z
d Zd Zy)	    N)symbols)exp)optimize)	SumApproxSeriesApproxc                  p    t        d      } d| z   }t        | did      }t        ||g      }|dz
  dk(  sJ y )Nx   )g#Bǻg#B;gؗҜ<boundsreltolr   )r   r   r   )r	   expr1
sum_approxapx1s       \/var/www/openai/venv/lib/python3.12/site-packages/sympy/codegen/tests/test_approximations.pytest_SumApprox_trivialr      sC    AEE1o"6uEJEJ<(D!8q==    c                     t        d      \  } }}t        |      | dz  |dz  z   dz   z  }| d|di}t        |d      }t        |d      }t        |d	      }t        ||g      t        |      z  |dz  z
  j	                         d
k(  sJ t        ||g      t        |      z  |dz  dz   z
  j	                         d
k(  sJ t        ||g      t        |      z  |dz  dz   | dz  z   z
  j	                         d
k(  sJ y )Nzx y z   r
   )r   gMbP?)d   i  g{Gz?r   gh㈵>gdy=r   )r   r   r   r   simplify)r	   yzr   bnds1sum_approx_m2sum_approx_m5sum_approx_m11s           r   test_SumApprox_monotone_termsr      s   gGAq!FAqD1a4K!O$E	1k*EU48MU48MeE:NU]O,SV3q!t<FFHAMMMU]O,SV3q!tax@JJLPQQQQU^,-c!f41q1a4HRRTXYYYYr   c                     t        d      \  } }dt        |      fD ]M  }t        d      } t        |       |z  }| di}t        |d      }t        |d      }t        |d      }||    d   ||    d	   z   d
z  }t        j                  |      }	|	| z   | d
z  d
z  z   }
|	| z   | d
z  d
z  z   | dz  dz  z   }|	| z   | d
z  d
z  z   | dz  dz  z   | dz  dz  z   }t	        ||g      }t	        ||g      }t	        ||g      }||z  |
z
  j                         d	k(  sJ ||z  |z
  j                         d	k(  sJ ||z  |z
  j                         d	k(  sJ t        |dd      }t	        ||g      |k(  rNJ  y )Nzx zr
   r	   )r
   g      ?r   g?g?r   r               )r   r   	max_order)r   r   r   mathr   r   )r	   r   factorr   r   series_approx_50series_approx_10series_approx_05cf0ref_50ref_10ref_05res_50res_10res_05max_ord3s                    r   test_SeriesApprox_trivialr4      s   5>DAqc!f+CLAvG'uTB'uTB'uTB1Xa[58A;&)XXa[a!Q$q&a!Q$q&1a46)a!Q$q&1a46)AqDG3%"2!34%"2!34%"2!34v&002a777v&002a777v&002a777uTQGz*e333/ r   )r&   sympy.core.symbolr   &sympy.functions.elementary.exponentialr   sympy.codegen.rewritingr   sympy.codegen.approximationsr   r   r   r   r4    r   r   <module>r:      s$     % 6 , @	Z4r   