o
    GZh6+                     @   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mZmZ d dlm Z  d dl!m"Z"m#Z# d dl$m%Z%m&Z&m'Z'm(Z(m)Z)m*Z*m+Z+ d dl,m-Z- d dl.m/Z/m0Z0m1Z1m2Z2 d dl3m4Z4m5Z5m6Z6 d dl7m8Z8 d dl9m:Z:m;Z; d dl<m=Z= e=dZ>e>re>j?@e>j?Ag jBZCeCjDZEdd ZFdd ZGdd ZHdd ZIdd ZJd d! ZKd"d# ZLd$d% ZMd&d' ZNd(d) ZOd*d+ ZPd,d- ZQd.d/ ZRd0d1 ZSd2d3 ZTd4d5 ZUd6d7 ZVd8d9 ZWd:d; ZXd<d= ZYd>d? ZZd@dA Z[dBdC Z\dDdE Z]dFdG Z^dHS )I    )Sum)Mod)Equality
Unequality)sqrt)	Piecewise)BlockMatrix)MatrixSymbol)Identity)lambdify)xijabcd)FunctionPowSymbol)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>   lessnanselectN)r%   r   r   doprintZmodule_imports)printerp r4   L/var/www/auris/lib/python3.10/site-packages/sympy/printing/tests/test_jax.pytest_jax_piecewise_regression(   s   r6   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%   r1   r   )ZlaeZlae2r4   r4   r5   test_jax_logaddexp5   s   

r7   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 Nr4   .0i_x_r4   r5   	<genexpr>E       ztest_jax_sum.<locals>.<genexpr>c                 3   s    | ]}|  V  qd S r<   r4   r=   r@   r4   r5   rB   L   rC   )r,   r)   r   r   r   r   r   r   numpylinspaceallclosesumrangesfa_b_r4   r@   r5   test_jax_sum<   s   6:rN   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 )
Nr8   r,   r9   )      r;   r-   r:   c                 3   s0    | ]}t  d  D ]	}| | V  qqdS )r-   N)rH   )r>   r?   Zj_Zc_Zd_rA   r4   r5   rB   Z   s   . z)test_jax_multiple_sums.<locals>.<genexpr>)r,   r)   r   r   r   r   r   r   r   r   r   rD   rE   rF   rG   rH   rI   r4   rQ   r5   test_jax_multiple_sumsO   s    "rR   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 )Nr8   M   Nr,   r-         r;   )	r,   r)   r	   r(   r   rD   arraymatmulall)rS   rU   cgrK   mambr4   r4   r5   test_jax_codegen_einsum]   s   $r_   c            
   
   C   s  t std tddd} tddd}tddd}tddd}t jddgdd	gg}t jdd
gddgg}t jddgddgg}t jddgd	dgg}t| |}t| |f|d}	|	||t j|ddg|ddgk sqJ t	| |}t| |f|d}	|	|||| k sJ t	| ||}t| ||f|d}	|	||||| | k sJ t	| |||}t| |||f|d}	|	|||||| | | k sJ t
| ddg}t| f|d}	|	||jk sJ t
t| |g d}t| |f|d}	|	||t jt j|ddg|ddgdk sJ tt| |d}t| |f|d}	|	||t jjt j|ddg|ddgdddk sCJ d S )Nr8   rS   rT   rU   PQr-   rV   rW   rX   r;   r      r,   )r-   rT   rV   r   r-   rT   )Zaxis1Zaxis2)r,   r)   r	   rD   rY   r!   r   Zeinsumr[   r"   r#   TZ	transposer$   Zdiagonal)
rS   rU   r`   ra   r]   r^   Zmcmdr\   rK   r4   r4   r5   test_jax_codegen_extral   s>   
,
 &8@rf   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 )Nr8   r-   r,   )r   r-   rT   )FTF)TFT)TFF)TTF)FFT)FTTrT   )TTT)	r,   r)   r   r   r   rD   rY   array_equalr   )erK   rA   r4   r4   r5   test_jax_relational   sD   

 ri   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 )	Nr8   r,   )r   r-   rT   rV   rT   )r   r-   r   r-   )rT   rT   rT   rT   )rT   rV   rW      )r   r   r   r   )	r,   r)   r   r   r   r   rD   rY   rg   )rh   rK   rL   rM   r4   r4   r5   test_jax_mod   s   
 rk   c                  C   s8   t std tdddd} tg | d}| dksJ d S )Nr8   rT   r;   F)evaluater,   g      ?)r,   r)   r   r   )exprrK   r4   r4   r5   test_jax_pow   s
   rn   c                  C   sB   t std ttfttd} t| dd d dt ksJ d S )Nr8   r,   g|=g#B;)r,   r)   r   r   r   absJAX_DEFAULT_EPSILONrK   r4   r4   r5   test_jax_expm1   s   $rr   c                  C   s>   t std ttfttd} t| dd dt ksJ d S )Nr8   r,   g>N}a+)r,   r)   r   r   r   ro   rp   rq   r4   r4   r5   test_jax_log1p   s    rs   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 )Nr8   r,   rV   rW   rj   )r,   r)   ro   r   r   r   r   rp   r4   r4   r4   r5   test_jax_hypot   s   0rt   c                   C   6   t std tttfttddd tksJ d S )Nr8   r,   d   rT   )r,   r)   ro   r   r   r   rp   r4   r4   r4   r5   test_jax_log10   s   *rw   c                   C   ru   )Nr8   r,   rj       )r,   r)   ro   r   r   r   rp   r4   r4   r4   r5   test_jax_exp2     *ry   c                   C   ru   )Nr8   r,         )r,   r)   ro   r   r   r   rp   r4   r4   r4   r5   test_jax_log2  rz   r}   c                   C   ru   Nr8   r,   rW   rT   )r,   r)   ro   r   r   r   rp   r4   r4   r4   r5   test_jax_Sqrt  rz   r   c                   C   ru   r~   )r,   r)   ro   r   r   r   rp   r4   r4   r4   r5   test_jax_sqrt  rz   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 )Nr8   rS   rV   r   r-   r;   r,   )r-   rT   rV   )rV   rT   rj   )rj      rb   )rV   rW   rj   )
r,   r)   r	   r   r   rD   rY   ZlinalgZmatrix_rankrF   )rS   r   rm   Zmatsolve_exprrK   Z
f_matsolveZm0Zx0r4   r4   r5   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 )
Nr8   a_1r:   rV   a_2a_3a_4)   r   z)jax.numpy.block([[a_1, a_2], [a_3, a_4]]))r,   r)   r	   r   shaper%   r1   )r   r   r   r   Ar2   r4   r4   r5   
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 )Nr8   rS   rT   r,   r-   rV   rW   rj   r   )symbolsnT)integerc                      s   t   t dS )Nr,   )r   r
   r4   rU   r   r4   r5   <lambda>L  s    z"test_issue_17006.<locals>.<lambda>)r,   r)   r	   r   r
   rD   rY   r[   Zsympy.core.symbolr   r*   NotImplementedError)rS   rK   r]   mrr   r4   r   r5   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)rc   )rV   rj   z!jax.numpy.array([[1, 2], [3, 5]])rc   zjax.numpy.array([1, 2]))r%   r1   r    r4   r4   r4   r5   test_jax_arrayO  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.nanZ
EulerGammazjax.numpy.euler_gammaacoszjax.numpy.arccoslogzjax.numpy.log)r&   r'   r4   r4   r4   r5   test_jax_known_funcs_constsT  s   r   c                  C   s&   t  } t| ds
J t| dsJ d S )NZ_print_acosZ
_print_log)r%   hasattr)Zprntrr4   r4   r5   test_jax_print_methods\     r   c                  C   s&   t  } t| ds
J | jdksJ d S )Nprintmethod_jaxcode)r%   r   r   )r2   r4   r4   r5   test_jax_printmethodb  r   r   c                  C   s4   G dd dt } t }|| tddksJ d S )Nc                   @   s   e Zd Zdd ZdS )z+test_jax_custom_print_method.<locals>.expm1c                 S   s.   | j \}d|| d}||jd | S )Nzexpm1().)argsZ_printZ_module_format_module)selfr2   r   functionr4   r4   r5   r   l  s   z4test_jax_custom_print_method.<locals>.expm1._jaxcodeN)__name__
__module____qualname__r   r4   r4   r4   r5   r   j  s    r   r   zjax.numpy.expm1(x))r   r%   r1   r   )r   r2   r4   r4   r5   test_jax_custom_print_methodh  s   r   N)_Zsympy.concrete.summationsr   Zsympy.core.modr   Zsympy.core.relationalr   r   Z(sympy.functions.elementary.miscellaneousr   Z$sympy.functions.elementary.piecewiser   Z&sympy.matrices.expressions.blockmatrixr   Z"sympy.matrices.expressions.matexprr	   Z"sympy.matrices.expressions.specialr
   Zsympy.utilities.lambdifyr   Z	sympy.abcr   r   r   r   r   r   r   Z
sympy.corer   r   r   Zsympy.codegen.matrix_nodesr   Zsympy.codegen.numpy_nodesr   r   Zsympy.codegen.cfunctionsr   r   r   r   r   r   r   Zsympy.tensor.arrayr    Z0sympy.tensor.array.expressions.array_expressionsr!   r"   r#   r$   Zsympy.printing.numpyr%   r&   r'   Z3sympy.tensor.array.expressions.from_matrix_to_arrayr(   Zsympy.testing.pytestr)   r*   Zsympy.externalr+   r,   rD   ZfinforY   ZdtypeZdeafult_float_infoZepsrp   r6   r7   rN   rR   r_   rf   ri   rk   rn   rr   rs   rt   rw   ry   r}   r   r   r   r   r   r   r   r   r   r   r4   r4   r4   r5   <module>   sb    $$
*3	