o
    U=ºi“I  ã                   @   sž   d dl Z d dlmZmZmZmZmZmZmZm	Z	m
Z
mZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZ ddlmZ G dd„ dejƒZ dS )é    N)ÚExprÚOpÚArithOpÚLanguageÚ	as_symbolÚ	as_numberÚ	as_stringÚas_arrayÚ
as_complexÚas_termsÚ
as_factorsÚeliminate_quotesÚinsert_quotesÚ
fromstringÚas_exprÚas_applyÚas_numer_denomÚ
as_ternaryÚas_refÚas_derefÚ	normalizeÚas_eqÚas_neÚas_ltÚas_gtÚas_leÚas_geé   )Úutilc                   @   sd   e Zd Zdd„ Zdd„ Zdd„ Zdd„ Zd	d
„ Zdd„ Zdd„ Z	dd„ Z
dd„ Zdd„ Zdd„ ZdS )ÚTestSymbolicc                 C   sr   dd„ }dD ]0}||d ƒ ||d | d ƒ ||d ƒ ||d | d ƒ ||d	 ƒ |d
| d ƒ qd S )Nc                 S   s&   t | ƒ\}}t||ƒ}|| ksJ ‚d S ©N)r   r   )ÚsÚrÚdÚs1© r%   údC:\Users\psant\Downloads\PAF backend\school\venv\Lib\site-packages\numpy/f2py/tests/test_symbolic.pyÚworker%   s   
z2TestSymbolic.test_eliminate_quotes.<locals>.worker)Ú Zmykind_z"1234" // "ABCD"z
"1234" // z"ABCD"z"1234" // 'ABCD'z'ABCD'z"1\"2'AB'34"za = z'1\'2"AB"34'r%   )Úselfr'   Úkindr%   r%   r&   Útest_eliminate_quotes$   s   úz"TestSymbolic.test_eliminate_quotesc                 C   s€  t dƒ}t dƒ}t dƒ}|jtjksJ ‚t|ƒdksJ ‚||ks"J ‚||ks(J ‚t|ƒd us0J ‚tdƒ}tdƒ}|jtjks@J ‚t|ƒdksHJ ‚||ksNJ ‚||ksTJ ‚t|ƒd us\J ‚tdƒ}td	ƒ}|jtjkslJ ‚t|ƒd
kstJ ‚||kszJ ‚||ks€J ‚t|ƒd usˆJ ‚t	ddƒ}t	ddƒ}	|jtj
ksšJ ‚t|ƒdks¢J ‚||ks¨J ‚||	ks®J ‚t|ƒd us¶J ‚tdƒ}
tdƒ}|
jtjksÆJ ‚t|
ƒdksÒJ t|
ƒƒ‚|
|
ksØJ ‚|
|ksÞJ ‚t||fƒ}t|fƒ}|jtjksñJ ‚t|ƒdksùJ ‚||ksÿJ ‚||k�sJ ‚t|ƒ}t|ƒ}|jtjk�sJ ‚t|ƒdk�s J ‚||k�s'J ‚||k�s.J ‚t|ƒd u�s7J ‚t|ƒ}t|ƒ}|jtjk�sHJ ‚t|ƒdk�sQJ ‚||k�sXJ ‚||k�s_J ‚t|ƒd u�shJ ‚t|||ƒ}t|||ƒ}|jtjk�s}J ‚||k�s„J ‚||k�s‹J ‚t|ƒd u�s”J ‚t||ƒ}t||ƒ}|jtjk�s§J ‚||k�s®J ‚||k�sµJ ‚t|ƒd u�s¾J ‚d S )NÚxÚyÚzzExpr(Op.SYMBOL, 'x')é{   éÈ  zExpr(Op.INTEGER, (123, 4))gš™™™™™(@gÍÌÌÌÌÌF@zExpr(Op.REAL, (12.3, 4))r   é   é   é   zFExpr(Op.COMPLEX, (Expr(Op.INTEGER, (1, 4)), Expr(Op.INTEGER, (2, 4))))z'123'ú"ABC"zExpr(Op.STRING, ("'123'", 1))zHExpr(Op.ARRAY, (Expr(Op.INTEGER, (123, 4)), Expr(Op.INTEGER, (456, 4))))z)Expr(Op.TERMS, {Expr(Op.SYMBOL, 'x'): 1})z+Expr(Op.FACTORS, {Expr(Op.SYMBOL, 'x'): 1}))r   Úopr   ÚSYMBOLÚreprÚhashr   ÚINTEGERZREALr
   ZCOMPLEXr   ÚSTRINGr	   ÚARRAYr   ÚTERMSr   ÚFACTORSr   ZTERNARYr   r   Z
RELATIONAL)r)   r,   r-   r.   ÚnÚmÚfnZfmÚcÚc2r!   Ús2ÚaÚbÚtÚuÚvÚwÚeÚfr%   r%   r&   Útest_sanity2   s†   




zTestSymbolic.test_sanityc           	   
   C   sð  t dƒ}t dƒ}t dƒ}tdƒ}tdƒ}t||fƒ}t||ƒ}t|ƒdks'J ‚t|ƒdks/J ‚t|ƒdks7J ‚t|ƒdks?J ‚tttj|d	iƒƒdksMJ ‚tttj|d
iƒƒdks[J ‚tttj|diƒƒdksiJ ‚tttj|diƒƒdkswJ ‚tttj|d	|d	iƒƒdks‡J ‚tttj|d|diƒƒdks—J ‚tttj|d
|diƒƒdks§J ‚tttj|d|diƒƒdks·J ‚tttj|d
|diƒƒdksÇJ ‚tttj|d	iƒƒdksÕJ ‚tttj|d
iƒƒdksãJ ‚tttj|diƒƒdksñJ ‚tttj|diƒƒdksÿJ ‚tttj|d	|d	iƒƒdk�sJ ‚tttj|d
|diƒƒdk�s!J ‚ttj|d
ttj|d	|d	iƒdiƒ}t|ƒdk�s@J t|ƒƒ‚ttj|d
ttj|d	|d	iƒdiƒ}t|ƒdk�s_J t|ƒƒ‚tttj	ddi fƒƒd k�soJ ‚tttj	d|fi fƒƒd!k�s€J ‚tttj	d||fi fƒƒd"k�s’J ‚tttj
d|fƒƒd#k�s¡J ‚tt|||ƒƒd$k�s®J ‚tt||ƒƒd%k�sºJ ‚tt||ƒƒd&k�sÆJ ‚tt||ƒƒd'k�sÒJ ‚tt||ƒƒd(k�sÞJ ‚tt||ƒƒd)k�sêJ ‚tt||ƒƒd*k�söJ ‚d S )+Nr,   r-   r.   r/   r0   Ú123z
[123, 456]z
(123, 456)r   r1   z2 * xéÿÿÿÿz-xéþÿÿÿz-2 * xúx + yz-x - yr2   z2 * x + 3 * yz-2 * x + 3 * yéýÿÿÿz2 * x - 3 * yúx ** 2zx ** -1zx ** -2úx * yzx ** 2 * y ** 3zx ** 2 * (x + y) ** 3zx ** 2 * (x * y) ** 3rK   r%   zf()úf(x)zf(x, y)úf[x]zmerge(y, z, x)úx .eq. yúx .ne. yúx .lt. yúx .le. yúx .gt. yúx .ge. y)r   r   r	   r
   Ústrr   r   r<   r=   ÚAPPLYZINDEXINGr   r   r   r   r   r   r   )	r)   r,   r-   r.   r>   r?   rD   rA   rH   r%   r%   r&   Útest_tostring_fortranƒ   sR   
     ""$$ "$z"TestSymbolic.test_tostring_fortranc                 C   sÔ  t j}tdƒ}tdƒ}tdƒ}tdƒ}ttj|diƒj|d�dks#J ‚ttj|| diƒj|d�dks5J ‚ttj|d	iƒj|d�d
ksEJ ‚tt	j
||ƒj|d�dksTJ ‚tt	j
||| ƒj|d�dkseJ ‚tt	j
|| || ƒj|d�dksxJ ‚||| ||   | j|d�dksŒJ ‚t|||ƒj|d�dksšJ ‚t||ƒj|d�dks§J ‚t||ƒj|d�dks´J ‚t||ƒj|d�dksÁJ ‚t||ƒj|d�dksÎJ ‚t||ƒj|d�dksÛJ ‚t||ƒj|d�dksèJ ‚d S )Nr,   r-   r.   r/   r1   ©Úlanguagezx * xz(x + y) * (x + y)é   z
pow(x, 12)úx / yzx / (x + y)z(x - y) / (x + y)z123 + x + (x - y) / (x + y)z(x?y:z)úx == yúx != yúx < yúx <= yúx > yúx >= y)r   ÚCr   r   r   r   r=   Útostringr   r   ÚDIVr   r   r   r   r   r   r   )r)   r`   r,   r-   r.   r>   r%   r%   r&   Útest_tostring_c´   sn    ÿþþÿþþÿÿÿÿÿÿÿÿÿÿÿÿzTestSymbolic.test_tostring_cc                 C   s  t dƒ}t dƒ}t dƒ}|| ttj|diƒksJ ‚|| ttjdƒks&J ‚|| ttj|d|diƒks6J ‚|| ttj|d|diƒksFJ ‚|| ttj|diƒksTJ ‚|| ttj|d|diƒksdJ ‚|
 |kskJ ‚| ttj|diƒks}J t| ƒƒ‚d| ttj|diƒks‹J ‚d| ttj|dtdƒdiƒks�J ‚d| d|  ttj|d|diƒks±J ‚|| d ttj|d|diƒksÃJ ‚|d ttj|diƒksÑJ ‚|| d ttjttj|diƒdttj|diƒdttj|d|diƒdiƒksùJ ‚|| | |d ||  k�s
J ‚|| d |d d| |  |d  k�s!J ‚|| d || d  d|d  d|d   k�s<J ‚|| | || ||  k�sMJ ‚|||  || ||  k�s^J ‚|d tt	j
|tdƒƒk�snJ ‚d| d |k�syJ ‚d| d tt	j
d| tdƒƒk�s�J ‚d	| d d| k�sšJ ‚d
| d tt	j
d
| tdƒƒk�s®J ‚d| d d| k�s»J ‚d| d tt	j
d
| tdƒƒk�sÏJ ‚d|d  |d	  d|d  |d   tt	j
d
| d	| ƒk�sñJ ‚d| d d
 tt	j
|tdƒƒk�sJ d| d d
 ƒ‚|d
|  tt	j
|d td
ƒƒk�s!J ‚|d ttj|diƒk�s0J ‚tdƒ}tdƒ}|| ttjdƒk�sEJ ‚|| ttj||fƒk�sTJ ‚|| ttj||fƒk�scJ ‚tddƒ}| tddƒk�ssJ ‚|| tdƒk�s~J ‚|| tdƒk�s‰J ‚d S )Nr,   r-   r.   r1   )r   r3   r   rN   r2   r3   é   é   é   é   é   g       @g      à?r4   ú"123")z"ABC123"r   g      ð?g      ð¿g       Ày       @      @y      À      @)r   r   r   r<   r9   r=   r7   r   r   r   rk   r   r:   ZCONCATr
   r   )r)   r,   r-   r.   r!   rF   rA   r%   r%   r&   Útest_operationsÔ   st      $$($þú
þ".6"" ((((ÿ
ÿÿ(
zTestSymbolic.test_operationsc                 C   sR  t dƒ}t dƒ}t dƒ}t||fƒ}| ||i¡|ksJ ‚||  ||i¡|| ks,J ‚||  ||i¡|| ks;J ‚|d  ||i¡|d ksJJ ‚||  ||i¡|| ksYJ ‚| ||| i¡|| kshJ ‚| ||| i¡t|| |fƒks{J ‚t|||ƒ ||| i¡t|| ||ƒks’J ‚t||ƒ ||| i¡t|| |ƒks§J ‚d S )Nr,   r-   r.   r3   )r   r	   Ú
substituter   r   )r)   r,   r-   r.   rD   r%   r%   r&   Útest_substitute  s"   &ÿÿ.zTestSymbolic.test_substitutec              	   C   s&  t dƒ}t dƒ}t dƒ}t dƒ}tdƒ}tdƒ}t||fƒ}tdƒ|ks&J ‚tdƒ|ks.J ‚tdƒ| ks7J ‚td	ƒ|| ksAJ ‚td
ƒ|d ksKJ ‚tdƒ|| ksUJ ‚tdƒ|d ks_J ‚tdƒ|| ksiJ ‚tdtjd�|d ksvJ ‚tdtjd�|d ksƒJ ‚tdƒ|| | ks�J ‚tdƒ||ƒks™J ‚tdƒ|||ƒks¤J ‚tdƒ|| ks®J ‚tdƒ|| | ksºJ ‚tdƒ|ksÂJ ‚ttdtjd�ƒ|| ksÑJ ‚tdƒ||ƒksÛJ ‚tdƒtddƒksæJ ‚tdƒ|ksòJ tdƒƒ‚tdƒ||ƒksüJ ‚tdƒt|| | fƒk�sJ ‚td ƒtd!ƒk�sJ ‚td"ƒtd!dƒk�s#J ‚td#ƒtd!d$ƒk�s/J ‚td%ƒtd&d'ƒk�s;J ‚td(ƒtd&d'ƒk�sGJ ‚td)ƒtd&dƒk�sSJ ‚td*ƒtd&d'ƒk�s_J ‚td+ƒtd&dƒk�skJ ‚td,ƒtd&dƒk�swJ ‚td-ƒtd&d'ƒk�sƒJ ‚td.ƒtd&dƒk�s�J ‚td/ƒtd&d0ƒk�s›J ‚td1ƒtd2d'ƒk�s§J ‚td3ƒt	ddƒk�s³J ‚td4ƒt	td5ƒt d6ƒƒk�sÃJ ‚td7ƒttdƒtdƒfƒk�sÔJ ‚td8ƒt
t d9ƒ|tdƒd:�k�sæJ ‚td;ƒt
t d<ƒtd=ƒtd>ƒttd?ƒtd@ƒfƒdA�k�sJ ‚tdBƒt|||ƒk�sJ ‚tdCƒt|ƒk�sJ ‚tdDƒtt|ƒƒk�s(J ‚tdEƒt|ƒk�s3J ‚tdFƒt|ƒt|ƒ k�sBJ ‚tdGƒt|ƒt|ƒ k�sQJ ‚tdHƒt|ƒt|ƒ k�s`J ‚tdIƒt|ƒt|ƒ k�soJ ‚tdJƒt||ƒk�s{J ‚tdKƒt||ƒk�s‡J ‚tdLƒt||ƒk�s“J ‚tdMƒt||ƒk�sŸJ ‚tdNƒt||ƒk�s«J ‚tdOƒt||ƒk�s·J ‚tdPtjd�t||ƒk�sÆJ ‚tdQtjd�t||ƒk�sÕJ ‚tdRtjd�t||ƒk�säJ ‚tdStjd�t||ƒk�sóJ ‚tdTtjd�t||ƒk�sJ ‚tdUtjd�t||ƒk�sJ ‚d S )VNr,   r-   r.   rK   r4   rr   z+ xz-  xrP   zx + 1r   rS   zx * 2r1   rb   rR   r_   zx ** 2 ** 3é   z(x + y) * zrT   zf(x,y)rU   zf[x][y]z"ABC" // "123" zf("ABC")zMYSTRKIND_"ABC"Z	MYSTRKINDz(/x, y/)zf((/x, y/))z(/(x+y)*z/)rM   r/   Z123_2Z123_myintkindZ	myintkindz123.0g     À^@r3   z123.0_4z123.0_8z123.0e0z123.0d0Z123d0z123e-0z123d+0z123.0_myrealkindZ
myrealkindZ3E4g     LÝ@z(1, 2)z	(1e2, PI)g      Y@ÚPIz[1, 2]zPOINT(x, y=1)ÚPOINT)r-   z-PERSON(name="John", age=50, shape=(/34, 23/))ZPERSONz"John"é2   é"   é   )ÚnameZageÚshapezx?y:zz*xz**xz&xz(*x) * (*y)z	(*x) * *yz*x * *yz*x**yrc   rd   re   rg   rf   rh   rV   rW   rX   rZ   rY   r[   )r   r   r	   r   r   ÚPythonr   ZFortranr   r
   r   r   r   r   r   r   r   r   r   r   )r)   r,   r-   r.   rK   r!   rF   rD   r%   r%   r&   Útest_fromstring&  s®   ÿÿþ ÿ"þÿü
ÿ"zTestSymbolic.test_fromstringc                    s  t dƒ‰t dƒ}t dƒ}t dƒ}|f‡fdd„	}ˆ |¡|ks!J ‚| |¡|ks*J ‚| |¡|ks3J ‚||ƒ |¡||ƒks@J ‚|ˆƒ |¡||ƒksMJ ‚||  |¡|| ksZJ ‚||  |¡|| ksgJ ‚ˆ| |  |¡d| | ksxJ ‚ˆ||ˆ| ƒ  |¡|||tdƒƒ ks�J ‚tˆ|ƒ |¡t||ƒksžJ ‚tƒ ‰ tƒ ‰‡ ‡fd	d
„}ˆ||ˆ| ƒ  |¡ ˆ |hks¾J ‚ˆˆ||hksÇJ ‚dd„ }tƒ ‰ˆ||ˆ| ƒ  |ˆ¡ ˆˆ|||hksåJ ‚dd„ }tƒ ‰ˆ||ˆ| ƒ  |ˆ¡ ˆˆhk�sJ ‚d S )Nr,   r-   r.   rK   c                    s   | ˆ kr|S d S r    r%   )r!   r"   ©r,   r%   r&   Úreplace_visit‹  s   ÿz1TestSymbolic.test_traverse.<locals>.replace_visitr1   r   c                    sd   | j tju r| jd }ˆ  |¡ |ˆv rˆ |¡ d S d S | j tju r.| ˆ vr0ˆ | ¡ d S d S d S )Nr   )r5   r   r]   ÚdataÚaddÚremover6   )r!   Úoper)Úfunction_symbolsÚsymbolsr%   r&   Úcollect_symbols   s   

ÿÿz3TestSymbolic.test_traverse.<locals>.collect_symbolsc                 S   s   | j tju r| | ¡ d S d S r    )r5   r   r6   rƒ   ©Úexprr‡   r%   r%   r&   Úcollect_symbols2®  s   ÿz4TestSymbolic.test_traverse.<locals>.collect_symbols2c                 S   s.   | j tju r| S | j tju r| | ¡ d S d S r    )r5   r   r]   r6   rƒ   r‰   r%   r%   r&   Úcollect_symbols3·  s
   ÿz4TestSymbolic.test_traverse.<locals>.collect_symbols3)r   Útraverser   r   Úset)r)   r-   r.   rK   r�   rˆ   r‹   rŒ   r%   )r†   r‡   r,   r&   Útest_traverse„  sF   "ÿÿÿ	zTestSymbolic.test_traversec                    sž  t dƒ‰ t dƒ}t dƒ}ˆ  ˆ ¡tdƒtdƒfksJ ‚ˆ d  ˆ ¡tdƒtdƒfks,J ‚dˆ   ˆ ¡tdƒtdƒfks=J ‚dˆ  d  ˆ ¡tdƒtdƒfksPJ ‚tdƒ ˆ ¡tdƒtdƒfksaJ ‚| ˆ ¡tdƒ|fksnJ ‚||  ˆ ¡tdƒ|| fksJ ‚ˆ |  ˆ ¡tdƒ|fksŽJ ‚|ˆ  |  ˆ ¡||fks�J ‚|| ˆ  |  ˆ ¡|| |fks°J ‚|| ˆ  |  ˆ ¡|| |fksÃJ ‚t t‡ fdd	„¡ d S )
Nr,   r-   r.   r   r   r1   r2   c                      s   ˆ ˆ    ˆ ¡S r    )Úlinear_solver%   r€   r%   r&   Ú<lambda>Ô  s    z0TestSymbolic.test_linear_solve.<locals>.<lambda>)r   r�   r   ÚpytestZraisesÚRuntimeError)r)   r-   r.   r%   r€   r&   Útest_linear_solveÂ  s   ""&""&&zTestSymbolic.test_linear_solvec                 C   sô   t dƒ}t dƒ}tdƒ}t|ƒ|tdƒfksJ ‚t|| ƒ||fks$J ‚t|| ƒ||fks0J ‚t|| ƒ||fks<J ‚t|| ƒ|| tdƒfksLJ ‚t|||  ƒ|||  |fks^J ‚t|||||    ƒ||d  || | fksxJ ‚d S )Nr,   r-   r/   r   r1   )r   r   r   ©r)   r,   r-   r>   r%   r%   r&   Útest_as_numer_denomÖ  s    $8z TestSymbolic.test_as_numer_denomc                 C   sÚ   t dƒ}t dƒ}tdƒ}| ¡ |hksJ ‚| ¡ tƒ ksJ ‚||  ¡ || hks+J ‚||ƒ ¡ ||ƒhks8J ‚||ƒ|  ¡ ||ƒ|hksHJ ‚||ƒ||   ¡ ||ƒ|| hks\J ‚||ƒ|  ¡ ||ƒhkskJ ‚d S )Nr,   r-   r/   )r   r   Zpolynomial_atomsrŽ   r•   r%   r%   r&   Útest_polynomial_atomsã  s    ("z"TestSymbolic.test_polynomial_atomsN)Ú__name__Ú
__module__Ú__qualname__r+   rL   r^   rl   rs   ru   r   r�   r”   r–   r—   r%   r%   r%   r&   r   #   s    Q1 @^>r   )!r’   Znumpy.f2py.symbolicr   r   r   r   r   r   r   r	   r
   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r(   r   ZF2PyTestr   r%   r%   r%   r&   Ú<module>   s    t