o
    *ήc[                     @   s   d dl mZmZ d dlmZmZmZmZmZ d dl	m
Z
 d dlmZ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 ed\ZZZZdd Z dd Z!dd Z"dd Z#dd Z$dS )    )
Derivativediff)FloatInanoopi)Eq)Symbolsymbols)	Piecewise)
DiracDelta	Heaviside)SingularityFunction)O)	unchanged)ArgumentIndexError)raiseszx y a nc                  C   s  t tdd dt tdd ksJ t tdd t tddks"J t tdd t tddks2J t tddtdt tdd ksEJ t td	dtt td	dksVJ t tddtt tddksgJ t tddtdt tddksyJ td
dd} t tt|  | t tt| d  ksJ t tt| t| t tt| d  ksJ dt tt|  dt ttd  dt ttd  }| d t tt| d  dt ttd  dt ttd  }t|t|ksJ t tddjddtt tddtksJ tt	dd  d S )N      r            nTpositive   
   F)evaluatec                   S   s   t tdddS )Nr   r   r   )r   xfdiff r%   r%   _/tmp/pip-target-vg8gfxp4/lib/python/sympy/functions/special/tests/test_singularity_functions.py<lambda>'   s    ztest_fdiff.<locals>.<lambda>)
r   r#   r$   yr   r
   ar   r   r   r   expr_inexpr_outr%   r%   r&   
test_fdiff   s"   $  &""$(*08r-   c                   C   s  t tttjt ksJ tt tdtsJ t ddddksJ t ddddks(J t ddddks2J t dddtu s<J t ddddksFJ t ddddksPJ t dd	d
dksZJ t ddd
dksdJ t ddd
tu snJ t ddddtddks~J t dt	dt	 d d ksJ t ttt
t
u sJ t tt
dt
u sJ t t
ttt
u sJ ttdd  ttdd  ttdd  d S )Nr   r   r   r   r   r   r      r   r   gffffff@z40.8415c                   S   s   t tttS )N)r   r#   r)   r   r%   r%   r%   r&   r'   <       ztest_eval.<locals>.<lambda>c                   S   s   t dt ttS )Nr   )r   r   r   r%   r%   r%   r&   r'   =   s    c                   S   s   t ttdS )N)r   r#   r)   r%   r%   r%   r&   r'   >   r0   )r   r#   r)   r   funcr   r   evalfr   r   r   r   
ValueErrorr%   r%   r%   r&   	test_eval*   s&    r5   c                  C   s   t ddd} ttddtdksJ ttddtdks J ttddtdks-J ttddjtd	d
dks<J ttdd	tdksIJ ttddtdksVJ tt|  ddd tt|  | d d tt|  | dd  tt d ks~J d S )NlTr   r   r   r   r   r   r   )cdir)r
   r   r#   as_leading_termr6   r%   r%   r&   test_leading_termA   s   r:   c                  C   s   t ddd} ttddttd dt  d ksJ ttdd	ttd ks*J ttd
d
td	ks7J ttd
d
jtddd
ksFJ ttd
dtd
ksSJ ttd
dtd
ks`J tt|  d
d	d tt|  | d d	 tt|  | d	d  tt d ttd  ksJ d S )Nr6   Tr   r1   r   r   	   r   r   r   -)dirr   )r
   r   r#   seriesnseriesr   r9   r%   r%   r&   test_seriesN   s   *r@   c                  C   s  t tddtttd d td dkfdksJ t tddttdtd dkfdks0J t tdd	tttttd dfdksGJ t tdd
tttttdfdks\J tddd} t tt| tttt |  tt dkfdks|J t tddt tdd	 t tdd
 }td d ttd  t	td  t	td }|t|ksJ |t	|ksJ |d|ksJ t tt| t ttd	 t ttd
 }tt |  ttt  t	tt  t	tt d }|t|ksJ |t	|ksJ |d|ksJ d S )Nr   r   r   )r   Tr    r   r!   r   r   r   r   T)nonnegativer1   r   HeavisideDiracDelta)
r   r#   rewriter   r   r	   r
   r)   r   r   r*   r%   r%   r&   test_rewrite[   s4   $.$2rD   N)%sympy.core.functionr   r   sympy.core.numbersr   r   r   r   r   sympy.core.relationalr	   sympy.core.symbolr
   r   $sympy.functions.elementary.piecewiser   'sympy.functions.special.delta_functionsr   r   -sympy.functions.special.singularity_functionsr   sympy.series.orderr   sympy.core.exprr   r   sympy.testing.pytestr   r#   r(   r)   r   r-   r5   r:   r@   rD   r%   r%   r%   r&   <module>   s"    