
    Rie()                     f   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<r>e<j=        >                    e<j=        ?                    g           j@                  ZAeAjB        ZCd ZDd ZEd ZFd ZGd ZHd ZId ZJd ZKd ZLd ZMd  ZNd! ZOd" ZPd# ZQd$ ZRd% ZSd& ZTd' ZUd( ZVd) ZWd* ZXd+ ZYd, ZZd-S ).    )Sum)Mod)Equality
Unequality)sqrt)	Piecewise)BlockMatrix)MatrixSymbol)Identity)lambdify)xijabcd)Pow)MatrixSolve)	logaddexp
logaddexp2)log1pexpm1hypotlog10exp2log2Sqrt)Array)ArrayTensorProductArrayAddPermuteDimsArrayDiagonal)
JaxPrinter_jax_known_constants_jax_known_functions)convert_matrix_to_array)skipraises)import_modulejaxc                      t                      } t          dt          dk     fd          }|                     |          dk    sJ | j        dh dik    sJ dS )z
    NumPyPrinter needs to print Piecewise()'s choicelist as a list to avoid
    breaking compatibility with numpy 1.8. This is not necessary in numpy 1.9+.
    See gh-9747 and gh-9749 for details.
       r   )r   TzKjax.numpy.select([jax.numpy.less(x, 0),True], [1,0], default=jax.numpy.nan)z	jax.numpy>   nanlessselectN)r$   r   r   doprintmodule_imports)printerps     =lib/python3.11/site-packages/sympy/printing/tests/test_jax.pytest_jax_piecewise_regressionr6   '   st     llG1a!e*i((A??1UV V V V!k3L3L3L%MMMMMMM    c                  
   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   )laelae2s     r5   test_jax_logaddexpr;   4   sl    
Aq//C<<$$(CCCCCaD<<%%)EEEEEEEr7   c                  p   t           st          d           t          t          t          z  t          t
          t          f          } t          t
          t          t          f| d          }d\  }}t           j        	                    ddd          t           j        
                     |||          t          fdt          ||dz             D                                 sJ t          t          t          z  t          t
          t          f          } t          t
          t          t          f| d          }d\  }}t           j        	                    ddd          t           j        
                     |||          t          fdt          ||dz             D                                 sJ d S )	NJAX not installedr+   r   
   r-   r?   c              3   "   K   | ]	}|z  V  
d S N .0i_x_s     r5   	<genexpr>ztest_jax_sum.<locals>.<genexpr>D   s'      0V0Vbr0V0V0V0V0V0Vr7   c              3   "   K   | ]	}|z  V  
d S rB   rC   rD   s     r5   rH   ztest_jax_sum.<locals>.<genexpr>K   s'      0U0URb0U0U0U0U0U0Ur7   )r+   r(   r   r   r   r   r   r   numpylinspaceallclosesumrange)sfa_b_rG   s       @r5   test_jax_sumrS   ;   sp    " !!!AFQ1IA!QAu%%AFB			BB	'	'B9aaBmmS0V0V0V0VE"bSTfDUDU0V0V0V-V-VWWWWWAEAq!9A!QAu%%AFB			BB	'	'B9aaBmmS0U0U0U0U5RRSVCTCT0U0U0U-U-UVVVVVVVr7   c                  6   t           st          d           t          t          t          z   t
          z  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t          ||dz             D                                 sJ d S )	Nr=   r+   r>   )      r@   r-   r?   c              3   T   K   | ]"}t          d z             D ]}|z   |z  V  #dS )r-   N)rN   )rE   rF   j_c_d_rG   s      r5   rH   z)test_jax_multiple_sums.<locals>.<genexpr>Y   sK      bbbPUVXZ\_`Z`PaPabb"BGr>bbbbbbbr7   )r+   r(   r   r   r   r   r   r   r   r   r   rJ   rK   rL   rM   rN   )rO   rP   rQ   rR   rY   rZ   rG   s       @@@r5   test_jax_multiple_sumsr[   N   s    " !!!QUaK!QQ1I..A!Q1a!U++AFBFB			BB	'	'B9aaBB33bbbbbbE"b1f4E4Ebbbbbd d d d d d dr7   c                     t           st          d           t          ddd          } t          ddd          }t          | |z            }t	          | |f|d          }t           j                            ddgddgg          }t           j                            dd	gd
dgg          } |||          t           j                            ||          k                                    sJ d S )Nr=   M   Nr+   r-         r@   )	r+   r(   r
   r'   r   rJ   arraymatmulall)r]   r_   cgrP   mambs         r5   test_jax_codegen_einsumri   \   s     " !!!S!QAS!QA	 Q	'	'B!QU##A	1a&1a&)	*	*B	1R&2q'*	+	+BAb"II))"b111668888888r7   c            
         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                                    sJ t          | |          }t          | |f|d          }	 |	||          ||z   k                                    sJ t          | ||          }t          | ||f|d          }	 |	|||          ||z   |z   k                                    sJ t          | |||          }t          | |||f|d          }	 |	||||          ||z   |z   |z   k                                    sJ t          | ddg          }t          | f|d          }	 |	|          |j        k                                    sJ 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                            t           j                            |ddg|ddg          dd          k                                    sJ d S )Nr=   r]   r^   r_   PQr-   r`   ra   rb   r@   r      r+   )r-   r^   r`   r   r-   r^   )axis1axis2)r+   r(   r
   rJ   rc   r    r   einsumre   r!   r"   T	transposer#   diagonal)
r]   r_   rk   rl   rg   rh   mcmdrf   rP   s
             r5   test_jax_codegen_extrarw   k   s    " !!!S!QAS!QAS!QAS!QA	1a&1a&)	*	*B	1R&2q'*	+	+B	1a&1a&)	*	*B	1R&1a&)	*	*B	Aq	!	!B!QU##AAb"II))"q!fb1a&AAAFFHHHHH	!QB!QU##AAb"IIB##%%%%%	!Q		B!QB&&AAb"bMMRU2X%**,,,,,	!Q1		B!Q1r5))AAb"b"Br",1133333	QA		B!r5!!AAbEERTM     	'1--|||	<	<B!QU##AAb"II,,SY-=-=b1a&"qRSf-U-UWcdddiikkkkk	)!Q//	8	8B!QU##AAb"II++CI,<,<R!QaQRV,T,T\]ef+gggllnnnnnnnr7   c                     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          sJ 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          sJ 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
          sJ t          dk    t          dk     z  } t	          t          f| d          }t           j                            g d          }t           j                             ||          g d          sJ t          dk    t          dk     z  } t	          t          f| d          }t           j                            g d          }t           j                             ||          g d          sJ d S )Nr=   r-   r+   )r   r-   r^   )FTF)TFT)TFF)TTF)FFT)FTTr^   )TTT)	r+   r(   r   r   r   rJ   rc   array_equalr   )erP   rG   s      r5   test_jax_relationalr{      s=    " !!!AA!q%  A		#	#B9  2(<(<(<=====1aA!q%  A		#	#B9  2(;(;(;<<<<<	
QA!q%  A		#	#B9  2(<(<(<=====	
aA!q%  A		#	#B9  2(;(;(;<<<<<	
QA!q%  A		#	#B9  2(<(<(<=====	
aA!q%  A		#	#B9  2(;(;(;<<<<< 
aAEA!q%  A		#	#B9  2(<(<(<=====	
aAEA!q%  A		#	#B9  2(:(:(:;;;;;;;r7   c                     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          sJ t           j                            g d          }t           j                            g d          }t           j                             |||          g d          sJ d S )	Nr=   r+   )r   r-   r^   r`   r^   )r   r-   r   r-   )r^   r^   r^   r^   )r^   r`   ra      )r   r   r   r   )	r+   r(   r   r   r   r   rJ   rc   ry   )rz   rP   rQ   rR   s       r5   test_jax_modr~      s=    " !!!Aq		A!QE""A		&	&B	
B9  2rLLL99999		&	&B		&	&B9  2rLLL99999		&	&B		&	&B9  2rLLL9999999r7   c                      t           st          d           t          ddd          } t          g | d          } |            dk    sJ d S )Nr=   r^   r@   F)evaluater+   g      ?)r+   r(   r   r   )exprrP   s     r5   test_jax_powr      sU     " !!!q"u%%%DT5!!A133#::::::r7   c                      t           st          d           t          t          ft	          t                    d          } t           | d          dz
  dz
            dt          z  k    sJ d S )Nr=   r+   g|=g#B;)r+   r(   r   r   r   absJAX_DEFAULT_EPSILONrP   s    r5   test_jax_expm1r      si     " !!!!uQxx''Aqqxx%%'((E4G,GGGGGGGr7   c                      t           st          d           t          t          ft	          t                    d          } t           | d          dz
            dt          z  k    sJ d S )Nr=   r+   g>N}a+)r+   r(   r   r   r   r   r   r   s    r5   test_jax_log1pr      sd     " !!!!uQxx''Aqqxx%  E,?$???????r7   c            
          t           st          d           t           t          t          t
          ft          t          t
                    d          dd          dz
            t          k    sJ d S )Nr=   r+   r`   ra   r}   )r+   r(   r   r   r   r   r   r   rC   r7   r5   test_jax_hypotr      sc     " !!!3xAaU33Aq99A=>>BUUUUUUUr7   c            	          t           st          d           t           t          t          ft          t                    d          d          dz
            t          k    sJ d S )Nr=   r+   d   r^   )r+   r(   r   r   r   r   r   rC   r7   r5   test_jax_log10r      s]     " !!!.xeAhh..s33a788<OOOOOOOr7   c            	          t           st          d           t           t          t          ft          t                    d          d          dz
            t          k    sJ d S )Nr=   r+   r}       )r+   r(   r   r   r   r   r   rC   r7   r5   test_jax_exp2r      s]     " !!!-xd1ggu--a002566:MMMMMMMr7   c            	          t           st          d           t           t          t          ft          t                    d          d          dz
            t          k    sJ d S )Nr=   r+         )r+   r(   r   r   r   r   r   rC   r7   r5   test_jax_log2r     s]     " !!!-xd1ggu--c22Q677;NNNNNNNr7   c            	          t           st          d           t           t          t          ft          t                    d          d          dz
            t          k    sJ d S Nr=   r+   ra   r^   )r+   r(   r   r   r   r   r   rC   r7   r5   test_jax_Sqrtr     ]     " !!!-xd1ggu--a0014559LLLLLLLr7   c            	          t           st          d           t           t          t          ft          t                    d          d          dz
            t          k    sJ d S r   )r+   r(   r   r   r   r   r   rC   r7   r5   test_jax_sqrtr     r   r7   c                  P   t           st          d           t          ddd          } t          ddd          }| dz  |z  |z   }t          | |          |z   }t	          | |f|d          }t	          | |f|d          }t           j                            g dg d	g d
g          }t           j        j                            |          dk    sJ t           j                            g d          }t           j        	                     |||           |||                    sJ d S )Nr=   r]   r`   r   r-   r@   r+   )r-   r^   r`   )r`   r^   r}   )r}      rm   )r`   ra   r}   )
r+   r(   r
   r   r   rJ   rc   linalgmatrix_rankrL   )r]   r   r   matsolve_exprrP   
f_matsolvem0x0s           r5   test_jax_matsolver     s%    " !!!S!QAS!QAr7Q;?D1%%)M!Qu%%A1a&-77J	)))YYY			:	;	;B9''++q0000		#	#B9jjR00!!B))<<<<<<<r7   c                  P   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 )
Nr=   a_1r?   r`   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   Ar3   s         r5   
test_16857r   -  s     " !!!
ub!
$
$C
ub!
$
$C
ub!
$
$C
ub!
$
$Cc3Z#s,--A7gllG??1!LLLLLLLr7   c                     t           st          d           t          ddd          } t          | | t	          d          z   d          }t           j                            ddgddgg          }t           j                            ddgddgg          } ||          |k                                    sJ d	d
lm	}  |dd          t          d          t          t          fd           d S )Nr=   r]   r^   r+   r-   r`   ra   r}   r   )symbolsnT)integerc                  F    t            t                    z   d          S )Nr+   )r   r   )r_   r   s   r5   <lambda>z"test_issue_17006.<locals>.<lambda>K  s    AOU(K(K r7   )r+   r(   r
   r   r   rJ   rc   re   sympy.core.symbolr   r)   NotImplementedError)r]   rP   rg   mrr   r_   r   s        @@r5   test_issue_17006r   <  s    " !!!S!QAAOU++A	1a&1a&)	*	*B	1a&1a&)	*	*BAbEERK))))))T"""AS!QA
 K K K K KLLLLLr7   c                      t                                          t          d                    dk    sJ t                                          t          d                    dk    sJ d S )N)rn   )r`   r}   z!jax.numpy.array([[1, 2], [3, 5]])rn   zjax.numpy.array((1, 2)))r$   r1   r   rC   r7   r5   test_jax_arrayr   M  s_    <<&6 7 788<_____<<f..2KKKKKKKr7   c                      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&   rC   r7   r5   test_jax_known_funcs_constsr   Q  sb    &/9999-1HHHHH'+=====&/999999r7   c                  j    t                      } t          | d          sJ t          | d          sJ d S )N_print_acos
_print_log)r$   hasattr)prntrs    r5   test_jax_print_methodsr   X  s=    LLE5-(((((5,'''''''r7   N)[sympy.concrete.summationsr   sympy.core.modr   sympy.core.relationalr   r   (sympy.functions.elementary.miscellaneousr   $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$   r%   r&   3sympy.tensor.array.expressions.from_matrix_to_arrayr'   sympy.testing.pytestr(   r)   sympy.externalr*   r+   rJ   finforc   dtypedeafult_float_infoepsr   r6   r;   rS   r[   ri   rw   r{   r~   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rC   r7   r5   <module>r      s   ) ) ) ) ) )       8 8 8 8 8 8 8 8 9 9 9 9 9 9 : : : : : : > > > > > > ; ; ; ; ; ; 7 7 7 7 7 7 - - - - - - ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )       2 2 2 2 2 2 ; ; ; ; ; ; ; ; Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q $ $ $ $ $ $            W W W W W W W W W W W W W W W W - - - - - - - - ( ( ( ( ( ( mE 1)<)<)BCC,0
N 
N 
NF F FW W W&d d d9 9 9'o 'o 'oT1< 1< 1<f: : :(  H H H@ @ @V V V
P P PN N NO O OM M MM M M= = =*M M MM M M"L L L: : :( ( ( ( (r7   