a
    kh6+                     @   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$m%Z%m&Z&m'Z'm(Z(m)Z)m*Z*m+Z+ d dl,m-Z- d dl.m/Z/m0Z0m1Z1m2Z2 d dl3m4Z4m5Z5m6Z6 d dl7m8Z8 d dl9m:Z:m;Z; d dl<m=Z= e=dZ>e>rre>j?@e>j?Ag jBZCeCjDZEdd ZFdd ZGdd ZHdd ZIdd ZJd d! ZKd"d# ZLd$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>   ZlessnanselectN)r%   r   r   doprintZmodule_imports)printerp r3   K/var/www/auris/lib/python3.9/site-packages/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%   r0   r   )ZlaeZlae2r3   r3   r4   test_jax_logaddexp5   s    

r6   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 sJ 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 sJ d S )
NJAX not installedr,   r   
   r-   r9   c                 3   s   | ]} | V  qd S Nr3   .0i_x_r3   r4   	<genexpr>E       ztest_jax_sum.<locals>.<genexpr>c                 3   s   | ]}|  V  qd S r;   r3   r<   r?   r3   r4   rA   L   rB   )r,   r)   r   r   r   r   r   r   numpylinspaceallclosesumrangesfa_b_r3   r?   r4   test_jax_sum<   s    6rM   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 sJ d S )
Nr7   r,   r8   )      r:   r-   r9   c                 3   s.   | ]&}t  d  D ]}| | V  qqdS )r-   N)rG   )r=   r>   Zj_Zc_Zd_r@   r3   r4   rA   Z   rB   z)test_jax_multiple_sums.<locals>.<genexpr>)r,   r)   r   r   r   r   r   r   r   r   r   rC   rD   rE   rF   rG   rH   r3   rP   r4   test_jax_multiple_sumsO   s     "rQ   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 sJ d S )Nr7   M   Nr,   r-         r:   )	r,   r)   r	   r(   r   rC   arraymatmulall)rR   rT   cgrJ   mambr3   r3   r4   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 sJ t	| |}t| |f|d}	|	|||| k sJ t	| ||}t| ||f|d}	|	||||| | k sXJ 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 s2J tt| |d}t| |f|d}	|	||t jjt j|ddg|ddgdddk sJ d S )Nr7   rR   rS   rT   PQr-   rU   rV   rW   r:   r      r,   )r-   rS   rU   r   r-   rS   )Zaxis1Zaxis2)r,   r)   r	   rC   rX   r!   r   ZeinsumrZ   r"   r#   TZ	transposer$   Zdiagonal)
rR   rT   r_   r`   r\   r]   ZmcZmdr[   rJ   r3   r3   r4   test_jax_codegen_extral   s>    
,
"(8rd   c                  C   s.  t std ttd} ttf| d}t jg d}t j||g dsNJ ttd} 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sJ tdk} ttf| d}t jg d}t j||g d	sTJ 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 )Nr7   r-   r,   )r   r-   rS   )FTF)TFT)TFF)TTF)FFT)FTTrS   )TTT)	r,   r)   r   r   r   rC   rX   array_equalr   )erJ   r@   r3   r3   r4   test_jax_relational   sD    

rg   c                  C   s   t std ttt} tttf| d}t jg d}d}t j|||g dsVJ t jg d}t jg d}t j|||g dsJ t jg d}t jg d}t j|||g dsJ d S )	Nr7   r,   )r   r-   rS   rU   rS   )r   r-   r   r-   )rS   rS   rS   rS   )rS   rU   rV      )r   r   r   r   )	r,   r)   r   r   r   r   rC   rX   re   )rf   rJ   rK   rL   r3   r3   r4   test_jax_mod   s    
ri   c                  C   s8   t std tdddd} tg | d}| dks4J d S )Nr7   rS   r:   F)evaluater,   g      ?)r,   r)   r   r   )exprrJ   r3   r3   r4   test_jax_pow   s
    rl   c                  C   sB   t std ttfttd} t| dd d dt ks>J d S )Nr7   r,   g|=g#B;)r,   r)   r   r   r   absJAX_DEFAULT_EPSILONrJ   r3   r3   r4   test_jax_expm1   s    rp   c                  C   s>   t std ttfttd} t| dd dt ks:J d S )Nr7   r,   g>N}a+)r,   r)   r   r   r   rm   rn   ro   r3   r3   r4   test_jax_log1p   s    rq   c                   C   s<   t std ttttftttdddd tks8J d S )Nr7   r,   rU   rV   rh   )r,   r)   rm   r   r   r   r   rn   r3   r3   r3   r4   test_jax_hypot   s    rr   c                   C   s6   t std tttfttddd tks2J d S )Nr7   r,   d   rS   )r,   r)   rm   r   r   r   rn   r3   r3   r3   r4   test_jax_log10   s    rt   c                   C   s6   t std tttfttddd tks2J d S )Nr7   r,   rh       )r,   r)   rm   r   r   r   rn   r3   r3   r3   r4   test_jax_exp2  s    rv   c                   C   s6   t std tttfttddd tks2J d S )Nr7   r,         )r,   r)   rm   r   r   r   rn   r3   r3   r3   r4   test_jax_log2  s    ry   c                   C   s6   t std tttfttddd tks2J d S Nr7   r,   rV   rS   )r,   r)   rm   r   r   r   rn   r3   r3   r3   r4   test_jax_Sqrt  s    r{   c                   C   s6   t std tttfttddd tks2J d S rz   )r,   r)   rm   r   r   r   rn   r3   r3   r3   r4   test_jax_sqrt  s    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sJ t jg d}t j	||||||sJ d S )Nr7   rR   rU   r   r-   r:   r,   )r-   rS   rU   )rU   rS   rh   )rh      ra   )rU   rV   rh   )
r,   r)   r	   r   r   rC   rX   ZlinalgZmatrix_rankrE   )rR   r   rk   Zmatsolve_exprrJ   Z
f_matsolveZm0Z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svJ d S )
Nr7   a_1r9   rU   a_2a_3a_4)   r}   z)jax.numpy.block([[a_1, a_2], [a_3, a_4]]))r,   r)   r	   r   shaper%   r0   )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 spJ d	d
lm	} |dddtd t
t fdd d S )Nr7   rR   rS   r,   r-   rU   rV   rh   r   )symbolsnT)integerc                      s   t   t dS )Nr,   )r   r
   r3   rT   r   r3   r4   <lambda>L  rB   z"test_issue_17006.<locals>.<lambda>)r,   r)   r	   r   r
   rC   rX   rZ   Zsympy.core.symbolr   r*   NotImplementedError)rR   rJ   r\   mrr   r3   r   r4   test_issue_17006=  s    r   c                   C   s4   t  tddksJ t  tddks0J d S )N)rb   )rU   rh   z!jax.numpy.array([[1, 2], [3, 5]])rb   zjax.numpy.array([1, 2]))r%   r0   r    r3   r3   r3   r4   test_jax_arrayO  s    r   c                   C   sD   t d dksJ t d dks J td dks0J 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'   r3   r3   r3   r4   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prntrr3   r3   r4   test_jax_print_methods\  s    r   c                  C   s&   t  } t| dsJ | jdks"J d S )Nprintmethod_jaxcode)r%   r   r   )r1   r3   r3   r4   test_jax_printmethodb  s    r   c                  C   s4   G dd dt } t }|| tddks0J 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)selfr1   r   functionr3   r3   r4   r   l  s    z4test_jax_custom_print_method.<locals>.expm1._jaxcodeN)__name__
__module____qualname__r   r3   r3   r3   r4   r   j  s   r   r   zjax.numpy.expm1(x))r   r%   r0   r   )r   r1   r3   r3   r4   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$   Zsympy.printing.numpyr%   r&   r'   Z3sympy.tensor.array.expressions.from_matrix_to_arrayr(   Zsympy.testing.pytestr)   r*   Zsympy.externalr+   r,   rC   ZfinforX   ZdtypeZdeafult_float_infoZepsrn   r5   r6   rM   rQ   r^   rd   rg   ri   rl   rp   rq   rr   rt   rv   ry   r{   r|   r~   r   r   r   r   r   r   r   r3   r3   r3   r4   <module>   s`   $$
*3	