o
    *ήc')                     @   s$  d dl mZ d dlmZ d dlmZmZ d dlmZ d dl	m
Z
 d dlmZ d dlmZ d dlmZ d d	lmZ d d
lmZmZmZmZmZmZmZ d dlmZ d dlmZ d dlm Z m!Z! d dl"m#Z#m$Z$m%Z%m&Z&m'Z'm(Z(m)Z) d dl*m+Z+ d dl,m-Z-m.Z.m/Z/m0Z0 d dl1m2Z2m3Z3m4Z4 d dl5m6Z6 d dl7m8Z8m9Z9 d dl:m;Z; e;dZ<e<re<j=>e<j=?g j@ZAeAjBZCdd ZDdd ZEdd ZFdd ZGdd ZHd d! ZId"d# ZJd$d% ZKd&d' ZLd(d) ZMd*d+ ZNd,d- ZOd.d/ ZPd0d1 ZQd2d3 ZRd4d5 ZSd6d7 ZTd8d9 ZUd:d; ZVd<d= ZWd>d? ZXd@dA ZYdBdC ZZdDS )E    )Sum)Mod)Equality
Unequality)sqrt)	Piecewise)BlockMatrix)MatrixSymbol)Identity)lambdify)xijabcd)Pow)MatrixSolve)	logaddexp
logaddexp2)log1pexpm1hypotlog10exp2log2Sqrt)Array)ArrayTensorProductArrayAddPermuteDimsArrayDiagonal)
JaxPrinter_jax_known_constants_jax_known_functions)convert_matrix_to_array)skipraises)import_modulejaxc                  C   sD   t  } tdtdk fd}| |dksJ | jdh diks J dS )z
    NumPyPrinter needs to print Piecewise()'s choicelist as a list to avoid
    breaking compatibility with numpy 1.8. This is not necessary in numpy 1.9+.
    See gh-9747 and gh-9749 for details.
       r   )r   TzKjax.numpy.select([jax.numpy.less(x, 0),True], [1,0], default=jax.numpy.nan)z	jax.numpy>   nanlessselectN)r#   r   r   doprintmodule_imports)printerp r3   D/tmp/pip-target-vg8gfxp4/lib/python/sympy/printing/tests/test_jax.pytest_jax_piecewise_regression'   s   r5   c                  C   s@   t tt} t | dksJ ttt}t |dksJ d S )Nzjax.numpy.logaddexp(a, b)zjax.numpy.logaddexp2(a, b))r   r   r   r#   r/   r   )laelae2r3   r3   r4   test_jax_logaddexp4   s   

r8   c               	      s   t std ttt tttf} ttttf| d}d\}}t j	ddd t j
||| t fddt||d D s@J ttt tttf} ttttf| d}d\}}t j	ddd t j
||| t fd	dt||d D szJ d S )
NJAX not installedr*   r   
   r+   r;   c                 3   s    | ]} | V  qd S Nr3   .0i_x_r3   r4   	<genexpr>D       ztest_jax_sum.<locals>.<genexpr>c                 3   s    | ]}|  V  qd S r=   r3   r>   rA   r3   r4   rC   K   rD   )r*   r'   r   r   r   r   r   r   numpylinspaceallclosesumrangesfa_b_r3   rA   r4   test_jax_sum;   s   6:rO   c               	      s   t std ttt t tttfttt	f} t
tttt	tf| d}d\}}d\ t jdddt j||| t fdd	t||d D sPJ d S )
Nr9   r*   r:   )      r<   r+   r;   c                 3   s0    | ]}t  d  D ]	}| | V  qqdS )r+   N)rI   )r?   r@   j_c_d_rB   r3   r4   rC   Y   s   . z)test_jax_multiple_sums.<locals>.<genexpr>)r*   r'   r   r   r   r   r   r   r   r   r   rE   rF   rG   rH   rI   rJ   r3   rS   r4   test_jax_multiple_sumsN   s    "rV   c                  C   s   t std tddd} tddd}t| | }t| |f|d}t jddgddgg}t jdd	gd
dgg}|||t j||k sHJ d S )Nr9   M   Nr*   r+         r<   )	r*   r'   r	   r&   r   rE   arraymatmulall)rW   rY   cgrL   mambr3   r3   r4   test_jax_codegen_einsum\   s   $rc   c            
   
   C   s  t std tddd} tddd}tddd}tddd}t jddgdd	gg}t jdd
gddgg}t jddgddgg}t jddgd	dgg}t| |}t| |f|d}	|	||t j|ddg|ddgk sqJ t	| |}t| |f|d}	|	|||| k sJ t	| ||}t| ||f|d}	|	||||| | k sJ t	| |||}t| |||f|d}	|	|||||| | | k sJ t
| ddg}t| f|d}	|	||jk sJ t
t| |g d}t| |f|d}	|	||t jt j|ddg|ddgdk sJ tt| |d}t| |f|d}	|	||t jjt j|ddg|ddgdddk sCJ d S )Nr9   rW   rX   rY   PQr+   rZ   r[   r\   r<   r      r*   )r+   rX   rZ   r   r+   rX   )axis1axis2)r*   r'   r	   rE   r]   r   r   einsumr_   r    r!   T	transposer"   diagonal)
rW   rY   rd   re   ra   rb   mcmdr`   rL   r3   r3   r4   test_jax_codegen_extrak   s>   
,
 &8@rp   c                  C   s&  t std ttd} ttf| d}t jg d}t j||g ds'J ttd} ttf| d}t jg d}t j||g dsHJ tdk } ttf| d}t jg d}t j||g dshJ tdk} ttf| d}t jg d}t j||g dsJ tdk} ttf| d}t jg d}t j||g d	sJ tdk} ttf| d}t jg d}t j||g d
sJ tdktdk @ } ttf| d}t jg d}t j||g dsJ tdktdk B } ttf| d}t jg d}t j||g dsJ d S )Nr9   r+   r*   )r   r+   rX   )FTF)TFT)TFF)TTF)FFT)FTTrX   )TTT)	r*   r'   r   r   r   rE   r]   array_equalr   )erL   rB   r3   r3   r4   test_jax_relational   sD   

 rs   c                  C   s   t std ttt} tttf| d}t jg d}d}t j|||g ds+J t jg d}t jg d}t j|||g dsIJ t jg d}t jg d}t j|||g dsgJ d S )	Nr9   r*   )r   r+   rX   rZ   rX   )r   r+   r   r+   )rX   rX   rX   rX   )rX   rZ   r[      )r   r   r   r   )	r*   r'   r   r   r   r   rE   r]   rq   )rr   rL   rM   rN   r3   r3   r4   test_jax_mod   s   
 ru   c                  C   s8   t std tdddd} tg | d}| dksJ d S )Nr9   rX   r<   F)evaluater*   g      ?)r*   r'   r   r   )exprrL   r3   r3   r4   test_jax_pow   s
   rx   c                  C   sB   t std ttfttd} t| dd d dt ksJ d S )Nr9   r*   g|=g#B;)r*   r'   r   r   r   absJAX_DEFAULT_EPSILONrL   r3   r3   r4   test_jax_expm1   s   $r|   c                  C   s>   t std ttfttd} t| dd dt ksJ d S )Nr9   r*   g>N}a+)r*   r'   r   r   r   ry   rz   r{   r3   r3   r4   test_jax_log1p   s    r}   c                   C   s<   t std ttttftttdddd tksJ d S )Nr9   r*   rZ   r[   rt   )r*   r'   ry   r   r   r   r   rz   r3   r3   r3   r4   test_jax_hypot   s   0r~   c                   C   6   t std tttfttddd tksJ d S )Nr9   r*   d   rX   )r*   r'   ry   r   r   r   rz   r3   r3   r3   r4   test_jax_log10   s   *r   c                   C   r   )Nr9   r*   rt       )r*   r'   ry   r   r   r   rz   r3   r3   r3   r4   test_jax_exp2      *r   c                   C   r   )Nr9   r*         )r*   r'   ry   r   r   r   rz   r3   r3   r3   r4   test_jax_log2  r   r   c                   C   r   Nr9   r*   r[   rX   )r*   r'   ry   r   r   r   rz   r3   r3   r3   r4   test_jax_Sqrt  r   r   c                   C   r   r   )r*   r'   ry   r   r   r   rz   r3   r3   r3   r4   test_jax_sqrt  r   r   c                  C   s   t std tddd} tddd}| d | | }t| || }t| |f|d}t| |f|d}t jg dg d	g d
g}t jj|dksKJ t jg d}t j	||||||sbJ d S )Nr9   rW   rZ   r   r+   r<   r*   )r+   rX   rZ   )rZ   rX   rt   )rt      rf   )rZ   r[   rt   )
r*   r'   r	   r   r   rE   r]   linalgmatrix_rankrG   )rW   r   rw   matsolve_exprrL   
f_matsolvem0x0r3   r3   r4   test_jax_matsolve  s   "r   c                  C   sz   t std tddd} tddd}tddd}tddd}t| |g||gg}|jdks/J t }||d	ks;J d S )
Nr9   a_1r;   rZ   a_2a_3a_4)   r   z)jax.numpy.block([[a_1, a_2], [a_3, a_4]]))r*   r'   r	   r   shaper#   r/   )r   r   r   r   Ar1   r3   r3   r4   
test_16857-  s   r   c                     s   t std tddd} t| | td d}t jddgddgg}t jddgddgg}|||k s8J d	d
lm	} |dddtd t
t fdd d S )Nr9   rW   rX   r*   r+   rZ   r[   rt   r   )symbolsnT)integerc                      s   t   t dS )Nr*   )r   r
   r3   rY   r   r3   r4   <lambda>K  s    z"test_issue_17006.<locals>.<lambda>)r*   r'   r	   r   r
   rE   r]   r_   sympy.core.symbolr   r(   NotImplementedError)rW   rL   ra   mrr   r3   r   r4   test_issue_17006<  s   r   c                   C   s4   t  tddksJ t  tddksJ d S )N)rg   )rZ   rt   z!jax.numpy.array([[1, 2], [3, 5]])rg   zjax.numpy.array((1, 2)))r#   r/   r   r3   r3   r3   r4   test_jax_arrayM  s   r   c                   C   sD   t d dksJ t d dksJ td dksJ td dks J d S )	NNaNzjax.numpy.nan
EulerGammazjax.numpy.euler_gammaacoszjax.numpy.arccoslogzjax.numpy.log)r$   r%   r3   r3   r3   r4   test_jax_known_funcs_constsQ  s   r   c                  C   s&   t  } t| ds
J t| dsJ d S )N_print_acos
_print_log)r#   hasattr)prntrr3   r3   r4   test_jax_print_methodsX  s   r   N)[sympy.concrete.summationsr   sympy.core.modr   sympy.core.relationalr   r   (sympy.functions.elementary.miscellaneousr   $sympy.functions.elementary.piecewiser   &sympy.matrices.expressions.blockmatrixr   "sympy.matrices.expressions.matexprr	   "sympy.matrices.expressions.specialr
   sympy.utilities.lambdifyr   	sympy.abcr   r   r   r   r   r   r   
sympy.corer   sympy.codegen.matrix_nodesr   sympy.codegen.numpy_nodesr   r   sympy.codegen.cfunctionsr   r   r   r   r   r   r   sympy.tensor.arrayr   0sympy.tensor.array.expressions.array_expressionsr   r    r!   r"   sympy.printing.numpyr#   r$   r%   3sympy.tensor.array.expressions.conv_matrix_to_arrayr&   sympy.testing.pytestr'   r(   sympy.externalr)   r*   rE   finfor]   dtypedeafult_float_infoepsrz   r5   r8   rO   rV   rc   rp   rs   ru   rx   r|   r}   r~   r   r   r   r   r   r   r   r   r   r   r   r3   r3   r3   r4   <module>   s^    $$
*3	