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    ʩZh-P                  
   @   s  d dl mZmZ d dl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 d dlmZ G dd dZG d	d
 d
ZG dd dZdd Zdd Zejdeeddeddgeddfeddeddgeddfeededdgeddffdd Zejdeg d edd!feddddggedd"ffd#d$ ZG d%d& d&Zejd'e
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j"d-ffd.d/ Z#G d0d1 d1Z$G d2d3 d3Z%d4Z&G d5d6 d6Z'dS )7    )naninfN)arrayarangeprintoptions)assert_equalassert_)Fraction)Decimalc                   @   Z  e Zd Zejddddd Zejdg ddfg d	d
feddffdd Z	ejdg ddfg d	dfeddffdd Z
ejdg ddfg d	dfeddffdd Zejdg ddfg d	dfeddffdd Zejdg ddfg d	dfedd ffd!d" Zejdg dd#fg d	d$fedd%ffd&d' Zd(S ))TestStrUnicodeSuperSubscriptsclassTscopeZautousec                 C      t d d S Nunicodepolyset_default_printstyleself r   [/var/www/html/lang_env/lib/python3.10/site-packages/numpy/polynomial/tests/test_printing.pyuse_unicode      z)TestStrUnicodeSuperSubscripts.use_unicodeinptgt            1.0 + 2.0·x + 3.0·x²r   r"   r%   u#   -1.0 + 0.0·x + 3.0·x² - 1.0·x³   u   0.0 + 1.0·x + 2.0·x² + 3.0·x³ + 4.0·x⁴ + 5.0·x⁵ + 6.0·x⁶ + 7.0·x⁷ +
8.0·x⁸ + 9.0·x⁹ + 10.0·x¹⁰ + 11.0·x¹¹c                 C      t t|}t|| d S Nstrr   
Polynomialr   r   r   r   resr   r   r   test_polynomial_str      z1TestStrUnicodeSuperSubscripts.test_polynomial_str!   1.0 + 2.0·T₁(x) + 3.0·T₂(x)u1   -1.0 + 0.0·T₁(x) + 3.0·T₂(x) - 1.0·T₃(x)u   0.0 + 1.0·T₁(x) + 2.0·T₂(x) + 3.0·T₃(x) + 4.0·T₄(x) + 5.0·T₅(x) +
6.0·T₆(x) + 7.0·T₇(x) + 8.0·T₈(x) + 9.0·T₉(x) + 10.0·T₁₀(x) + 11.0·T₁₁(x)c                 C   r'   r(   r*   r   	Chebyshevr   r,   r   r   r   test_chebyshev_str   r/   z0TestStrUnicodeSuperSubscripts.test_chebyshev_stru!   1.0 + 2.0·P₁(x) + 3.0·P₂(x)u1   -1.0 + 0.0·P₁(x) + 3.0·P₂(x) - 1.0·P₃(x)u   0.0 + 1.0·P₁(x) + 2.0·P₂(x) + 3.0·P₃(x) + 4.0·P₄(x) + 5.0·P₅(x) +
6.0·P₆(x) + 7.0·P₇(x) + 8.0·P₈(x) + 9.0·P₉(x) + 10.0·P₁₀(x) + 11.0·P₁₁(x)c                 C   r'   r(   r*   r   Legendrer   r,   r   r   r   test_legendre_str(   r/   z/TestStrUnicodeSuperSubscripts.test_legendre_stru!   1.0 + 2.0·H₁(x) + 3.0·H₂(x)u1   -1.0 + 0.0·H₁(x) + 3.0·H₂(x) - 1.0·H₃(x)u   0.0 + 1.0·H₁(x) + 2.0·H₂(x) + 3.0·H₃(x) + 4.0·H₄(x) + 5.0·H₅(x) +
6.0·H₆(x) + 7.0·H₇(x) + 8.0·H₈(x) + 9.0·H₉(x) + 10.0·H₁₀(x) + 11.0·H₁₁(x)c                 C   r'   r(   r*   r   Hermiter   r,   r   r   r   test_hermite_str3   r/   z.TestStrUnicodeSuperSubscripts.test_hermite_stru#   1.0 + 2.0·He₁(x) + 3.0·He₂(x)u4   -1.0 + 0.0·He₁(x) + 3.0·He₂(x) - 1.0·He₃(x)u   0.0 + 1.0·He₁(x) + 2.0·He₂(x) + 3.0·He₃(x) + 4.0·He₄(x) + 5.0·He₅(x) +
6.0·He₆(x) + 7.0·He₇(x) + 8.0·He₈(x) + 9.0·He₉(x) + 10.0·He₁₀(x) +
11.0·He₁₁(x)c                 C   r'   r(   r*   r   HermiteEr   r,   r   r   r   test_hermiteE_str>      	z/TestStrUnicodeSuperSubscripts.test_hermiteE_stru!   1.0 + 2.0·L₁(x) + 3.0·L₂(x)u1   -1.0 + 0.0·L₁(x) + 3.0·L₂(x) - 1.0·L₃(x)u   0.0 + 1.0·L₁(x) + 2.0·L₂(x) + 3.0·L₃(x) + 4.0·L₄(x) + 5.0·L₅(x) +
6.0·L₆(x) + 7.0·L₇(x) + 8.0·L₈(x) + 9.0·L₉(x) + 10.0·L₁₀(x) + 11.0·L₁₁(x)c                 C   r'   r(   r*   r   Laguerrer   r,   r   r   r   test_laguerre_strJ   r/   z/TestStrUnicodeSuperSubscripts.test_laguerre_strN)__name__
__module____qualname__pytestfixturer   markparametrizer   r.   r3   r6   r9   r<   r@   r   r   r   r   r      sN    
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r   c                   @   r   ))TestStrAsciir   Tr   c                 C   r   Nasciir   r   r   r   r   	use_asciiX   r   zTestStrAscii.use_asciir   r   1.0 + 2.0 x + 3.0 x**2r$   z"-1.0 + 0.0 x + 3.0 x**2 - 1.0 x**3r&   z}0.0 + 1.0 x + 2.0 x**2 + 3.0 x**3 + 4.0 x**4 + 5.0 x**5 + 6.0 x**6 +
7.0 x**7 + 8.0 x**8 + 9.0 x**9 + 10.0 x**10 + 11.0 x**11c                 C   r'   r(   r)   r,   r   r   r   r.   \   r/   z TestStrAscii.test_polynomial_str1.0 + 2.0 T_1(x) + 3.0 T_2(x)z+-1.0 + 0.0 T_1(x) + 3.0 T_2(x) - 1.0 T_3(x)z0.0 + 1.0 T_1(x) + 2.0 T_2(x) + 3.0 T_3(x) + 4.0 T_4(x) + 5.0 T_5(x) +
6.0 T_6(x) + 7.0 T_7(x) + 8.0 T_8(x) + 9.0 T_9(x) + 10.0 T_10(x) +
11.0 T_11(x)c                 C   r'   r(   r1   r,   r   r   r   r3   g   r=   zTestStrAscii.test_chebyshev_strz1.0 + 2.0 P_1(x) + 3.0 P_2(x)z+-1.0 + 0.0 P_1(x) + 3.0 P_2(x) - 1.0 P_3(x)z0.0 + 1.0 P_1(x) + 2.0 P_2(x) + 3.0 P_3(x) + 4.0 P_4(x) + 5.0 P_5(x) +
6.0 P_6(x) + 7.0 P_7(x) + 8.0 P_8(x) + 9.0 P_9(x) + 10.0 P_10(x) +
11.0 P_11(x)c                 C   r'   r(   r4   r,   r   r   r   r6   s   r=   zTestStrAscii.test_legendre_strz1.0 + 2.0 H_1(x) + 3.0 H_2(x)z+-1.0 + 0.0 H_1(x) + 3.0 H_2(x) - 1.0 H_3(x)z0.0 + 1.0 H_1(x) + 2.0 H_2(x) + 3.0 H_3(x) + 4.0 H_4(x) + 5.0 H_5(x) +
6.0 H_6(x) + 7.0 H_7(x) + 8.0 H_8(x) + 9.0 H_9(x) + 10.0 H_10(x) +
11.0 H_11(x)c                 C   r'   r(   r7   r,   r   r   r   r9      r=   zTestStrAscii.test_hermite_strz1.0 + 2.0 He_1(x) + 3.0 He_2(x)z.-1.0 + 0.0 He_1(x) + 3.0 He_2(x) - 1.0 He_3(x)z0.0 + 1.0 He_1(x) + 2.0 He_2(x) + 3.0 He_3(x) + 4.0 He_4(x) +
5.0 He_5(x) + 6.0 He_6(x) + 7.0 He_7(x) + 8.0 He_8(x) + 9.0 He_9(x) +
10.0 He_10(x) + 11.0 He_11(x)c                 C   r'   r(   r:   r,   r   r   r   r<      r=   zTestStrAscii.test_hermiteE_strz1.0 + 2.0 L_1(x) + 3.0 L_2(x)z+-1.0 + 0.0 L_1(x) + 3.0 L_2(x) - 1.0 L_3(x)z0.0 + 1.0 L_1(x) + 2.0 L_2(x) + 3.0 L_3(x) + 4.0 L_4(x) + 5.0 L_5(x) +
6.0 L_6(x) + 7.0 L_7(x) + 8.0 L_8(x) + 9.0 L_9(x) + 10.0 L_10(x) +
11.0 L_11(x)c                 C   r'   r(   r>   r,   r   r   r   r@      r=   zTestStrAscii.test_laguerre_strN)rA   rB   rC   rD   rE   rK   rF   rG   r   r.   r3   r6   r9   r<   r@   r   r   r   r   rH   V   sN    
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rH   c                   @   sX   e Zd Zejddddd Zdd Zdd	 Zd
d Zdd Z	ej
dddd ZdS )TestLinebreakingr   Tr   c                 C   r   rI   r   r   r   r   r   rK      r   zTestLinebreaking.use_asciic                 C   2   t g d}ttt|d tt|d d S )N)Na rP   rP   rP   {   J   zJ12345678.0 + 12345678.0 x + 12345678.0 x**2 + 12345678.0 x**3 + 123.0 x**4r   r+   r   lenr*   r   pr   r   r   test_single_line_one_less   
   z*TestLinebreaking.test_single_line_one_lessc                 C   rO   )N)rP   rP   rP   rP   i  K   zK12345678.0 + 12345678.0 x + 12345678.0 x**2 + 12345678.0 x**3 +
1234.0 x**4rS   rU   r   r   r   test_num_chars_is_linewidth   rX   z,TestLinebreaking.test_num_chars_is_linewidthc                 C   s<   t g d}ttt|dd d tt|d d S )N)rP   rP   rP   rP   r    rP   
r   rR   zZ12345678.0 + 12345678.0 x + 12345678.0 x**2 + 12345678.0 x**3 + 1.0 x**4 +
12345678.0 x**5)r   r+   r   rT   r*   splitrU   r   r   r   6test_first_linebreak_multiline_one_less_than_linewidth   s   zGTestLinebreaking.test_first_linebreak_multiline_one_less_than_linewidthc                 C   s    t g d}tt|d d S )N)rP   rP   rP   g=
)gAr    rP   z[12345678.0 + 12345678.0 x + 12345678.0 x**2 + 12345678.12 x**3 +
1.0 x**4 + 12345678.0 x**5)r   r+   r   r*   rU   r   r   r   +test_first_linebreak_multiline_on_linewidth   s   z<TestLinebreaking.test_first_linebreak_multiline_on_linewidth)lwr   ))rY   z0.0 + 10.0 x + 200.0 x**2 + 3000.0 x**3 + 40000.0 x**4 + 500000.0 x**5 +
600000.0 x**6 + 70000.0 x**7 + 8000.0 x**8 + 900.0 x**9)-   z0.0 + 10.0 x + 200.0 x**2 + 3000.0 x**3 +
40000.0 x**4 + 500000.0 x**5 +
600000.0 x**6 + 70000.0 x**7 + 8000.0 x**8 +
900.0 x**9)   z0.0 + 10.0 x + 200.0 x**2 + 3000.0 x**3 + 40000.0 x**4 + 500000.0 x**5 + 600000.0 x**6 + 70000.0 x**7 + 8000.0 x**8 + 900.0 x**9c                 C   sp   t g d}t|d" tt|| t|dD ]
}tt||k  qW d    d S 1 s1w   Y  d S )N)
r   
      i  i@  i  i'	 ip i@  i  )Z	linewidthr[   )r   r+   r   r   r*   r\   r   rT   )r   r_   r   rV   liner   r   r   test_linewidth_printoption   s   "z+TestLinebreaking.test_linewidth_printoptionN)rA   rB   rC   rD   rE   rK   rW   rZ   r]   r^   rF   rG   re   r   r   r   r   rN      s    
		
rN   c                  C   s   t g d} t g d}t d tt| d tt|d t d tt| d tt|d tt t d W d    d S 1 sJw   Y  d S )	Nr   rJ   rL   rM   r   r#   r0   Zinvalid_input)	r   r+   r2   r   r   r*   rD   raises
ValueError)rV   cr   r   r   test_set_default_printoptions   s   

"ri   c                  C   st   g d} t | }t t| td}t d tt|d tt|d t d tt|d tt|d d	S )
z%Test both numpy and built-in complex.)y              ?y      ?      ?y              @y      @        Zdtyper   u*   1j + (1+1j)·x - (2-2j)·x² + (3+0j)·x³u+   1j + (1+1j)·x + (-2+2j)·x² + (3+0j)·x³rJ   z)1j + (1+1j) x - (2-2j) x**2 + (3+0j) x**3z*1j + (1+1j) x + (-2+2j) x**2 + (3+0j) x**3N)r   r+   r   objectr   r   r*   )coefsp1p2r   r   r   test_complex_coefficients   s   


ro   )rl   r   r    r!   r"      rj   u   1/2 + 3/4·x      u   1 + 2·x + 5/7·x²z1.00z2.2u   1.00 + 2.2·x + 3·x²c                 C   s&   t | }t d tt|| d S r   r   r+   r   r   r*   rl   r   rV   r   r   r    test_numeric_object_coefficients  s   

ru   )r    r!   fu   1 + 2·x + f·x²u   1 + 2·x + [3, 4]·x²c                 C   s&   t | }t d tt|| dS )zK
    Test coef fallback for object arrays of non-numeric coefficients.
    r   Nrs   rt   r   r   r   #test_nonnumeric_object_coefficients  s   

rw   c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )

TestFormatc                 C   ,   t d t g d}tt|dd d S )NrJ   r    r!   r   r%   r   u"   1.0 + 2.0·x + 0.0·x² - 1.0·x³r   r   r+   r   formatrU   r   r   r   test_format_unicode!  s   
zTestFormat.test_format_unicodec                 C   ry   )Nr   rz   rJ   z!1.0 + 2.0 x + 0.0 x**2 - 1.0 x**3r{   rU   r   r   r   test_format_ascii&  s
   

zTestFormat.test_format_asciic                 C   s6   t d t g d}tt|d t| d d S )NrJ   r   rL   r{   rU   r   r   r   test_empty_formatstr-  s   
zTestFormat.test_empty_formatstrc                 C   sH   t g d}tt t|d W d    d S 1 sw   Y  d S )Nrz   z.2f)r   r+   rD   rf   rg   r|   rU   r   r   r   test_bad_formatstr3  s   "zTestFormat.test_bad_formatstrN)rA   rB   rC   r}   r~   r   r   r   r   r   r   rx      s
    rx   )r   r   u   1.0 + 2.0·z + 3.0·z²u!   1.0 + 2.0·T₁(z) + 3.0·T₂(z)u!   1.0 + 2.0·H₁(z) + 3.0·H₂(z)u#   1.0 + 2.0·He₁(z) + 3.0·He₂(z)u!   1.0 + 2.0·L₁(z) + 3.0·L₂(z)u!   1.0 + 2.0·P₁(z) + 3.0·P₂(z)c                 C   s"   | g ddd}t |d| d S )Nr   zsymbolr   )r   )r   r   rV   r   r   r   test_symbol9  s   	r   c                   @   s<   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd ZdS )TestReprc                 C   $   t tddg}d}t|| d S )Nr   r    zBPolynomial([0., 1.], domain=[-1,  1], window=[-1,  1], symbol='x'))reprr   r+   r   r   r-   r   r   r   r   r.   G     zTestRepr.test_polynomial_strc                 C   r   )Nr   r    zAChebyshev([0., 1.], domain=[-1,  1], window=[-1,  1], symbol='x'))r   r   r2   r   r   r   r   r   r3   O  r   zTestRepr.test_chebyshev_strc                 C   r   )Nr   r    z@Legendre([0., 1.], domain=[-1,  1], window=[-1,  1], symbol='x'))r   r   r5   r   r   r   r   r   test_legendre_reprW  r   zTestRepr.test_legendre_reprc                 C   r   )Nr   r    z?Hermite([0., 1.], domain=[-1,  1], window=[-1,  1], symbol='x'))r   r   r8   r   r   r   r   r   test_hermite_repr_  r   zTestRepr.test_hermite_reprc                 C   r   )Nr   r    z@HermiteE([0., 1.], domain=[-1,  1], window=[-1,  1], symbol='x'))r   r   r;   r   r   r   r   r   test_hermiteE_reprg  r   zTestRepr.test_hermiteE_reprc                 C   r   )Nr   r    z<Laguerre([0., 1.], domain=[0, 1], window=[0, 1], symbol='x'))r   r   r?   r   r   r   r   r   test_laguerre_repro  r   zTestRepr.test_laguerre_reprN)	rA   rB   rC   r.   r3   r   r   r   r   r   r   r   r   r   F  s    r   c                   @   s8   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d ZdS )TestLatexReprz#Test the latex repr used by Jupyterc                 C   s"   ddd|_ z| W |` S |` w )NFc                 S   s   t | S r(   )r*   )xparensr   r   r   <lambda>  s    z(TestLatexRepr.as_latex.<locals>.<lambda>)F)Z_repr_latex_scalar_repr_latex_)r   objr   r   r   as_latex{  s   zTestLatexRepr.as_latexc                 C   s   t g d}t| |d t jg dddgd}t| |d t jg dddgd}t| |d	 t jg dd
dgd}t| |d d S )Nr   z%$x \mapsto 1.0 + 2.0\,x + 3.0\,x^{2}$r   domainzK$x \mapsto 1.0 + 2.0\,\left(1.0 + x\right) + 3.0\,\left(1.0 + x\right)^{2}$            ?zE$x \mapsto 1.0 + 2.0\,\left(2.0x\right) + 3.0\,\left(2.0x\right)^{2}$r%   zQ$x \mapsto 1.0 + 2.0\,\left(1.0 + 2.0x\right) + 3.0\,\left(1.0 + 2.0x\right)^{2}$r   r+   r   r   rU   r   r   r   test_simple_polynomial  s    



z$TestLatexRepr.test_simple_polynomialc                 C   sH   t g d}t| |d t jg dddgd}t| |d d S )Nr   z?$x \mapsto 1.0\,{T}_{0}(x) + 2.0\,{T}_{1}(x) + 3.0\,{T}_{2}(x)$r%   r   r   zZ$x \mapsto 1.0\,{T}_{0}(1.0 + 2.0x) + 2.0\,{T}_{1}(1.0 + 2.0x) + 3.0\,{T}_{2}(1.0 + 2.0x)$)r   r2   r   r   rU   r   r   r   test_basis_func  s   

zTestLatexRepr.test_basis_funcc                 C   s"   t g d}t| |d d S )Nr   zB$x \mapsto 1.0\,{He}_{0}(x) + 2.0\,{He}_{1}(x) + 3.0\,{He}_{2}(x)$)r   r;   r   r   rU   r   r   r   test_multichar_basis_func  s   
z'TestLatexRepr.test_multichar_basis_funcc                 C   s   t jg ddd}t| |d t jg dddgdd}t| |d t jg dd	d
gdd}t| |d t jg dddgdd}t| |d d S )Nr   r   r   z%$z \mapsto 1.0 + 2.0\,z + 3.0\,z^{2}$r   r   )r   r   zK$z \mapsto 1.0 + 2.0\,\left(1.0 + z\right) + 3.0\,\left(1.0 + z\right)^{2}$r   r   zE$z \mapsto 1.0 + 2.0\,\left(2.0z\right) + 3.0\,\left(2.0z\right)^{2}$r%   zQ$z \mapsto 1.0 + 2.0\,\left(1.0 + 2.0z\right) + 3.0\,\left(1.0 + 2.0z\right)^{2}$r   rU   r   r   r   test_symbol_basic  s&   
		zTestLatexRepr.test_symbol_basicN)	rA   rB   rC   __doc__r   r   r   r   r   r   r   r   r   r   x  s    
	r   )z"1.0 + (1.0e-01) x + (1.0e-02) x**2z"1.2 + (1.2e-01) x + (1.2e-02) x**2z11.23 + 0.12 x + (1.23e-02) x**2 + (1.23e-03) x**3z51.235 + 0.123 x + (1.235e-02) x**2 + (1.235e-03) x**3zG1.2346 + 0.1235 x + 0.0123 x**2 + (1.2346e-03) x**3 + (1.2346e-04) x**4zL1.23457 + 0.12346 x + 0.01235 x**2 + (1.23457e-03) x**3 + (1.23457e-04) x**4za1.234568 + 0.123457 x + 0.012346 x**2 + 0.001235 x**3 + (1.234568e-04) x**4 + (1.234568e-05) x**5zg1.2345679 + 0.1234568 x + 0.0123457 x**2 + 0.0012346 x**3 + (1.2345679e-04) x**4 + (1.2345679e-05) x**5c                   @   sN   e Zd ZdZejddddd Zdd Zd	d
 Zdd Z	dd Z
dd ZdS )TestPrintOptionsz
    Test the output is properly configured via printoptions.
    The exponential notation is enabled automatically when the values 
    are too small or too large.
    r   Tr   c                 C   r   rI   r   r   r   r   r   rK     r   zTestPrintOptions.use_asciic                 C   sZ   t g d}tt|d tdd tt|d W d    d S 1 s&w   Y  d S )Nr   g$I$I?gI$Ir?kAgm۶mAzC0.5 + 0.14285714 x + 14285714.28571429 x**2 + (1.42857143e+08) x**3r"   	precisionz40.5 + 0.143 x + 14285714.286 x**2 + (1.429e+08) x**3r   r+   r   r*   r   rU   r   r   r   test_str  s
   "zTestPrintOptions.test_strc                 C   sZ   t g d}t| d tdd t| d W d    d S 1 s&w   Y  d S )Nr   zp$x \mapsto \text{0.5} + \text{0.14285714}\,x + \text{14285714.28571429}\,x^{2} + \text{(1.42857143e+08)}\,x^{3}$r"   r   za$x \mapsto \text{0.5} + \text{0.143}\,x + \text{14285714.286}\,x^{2} + \text{(1.429e+08)}\,x^{3}$)r   r+   r   r   r   rU   r   r   r   
test_latex  s   "zTestPrintOptions.test_latexc                 C   s   t dg}tt|d tdd tt|d W d    n1 s$w   Y  tddd tt|d W d    d S 1 sBw   Y  d S )	Nr   z0.5fixed)	floatmodez
0.50000000rp   )r   r   z0.5000r   rU   r   r   r   
test_fixed  s   "zTestPrintOptions.test_fixedc              	   C   sx   t tD ]5\}}t|d$ tdd t|d d D }t|dd|ks*J W d    n1 s4w   Y  qd S )Nr   c                 S   s   g | ]	}d d|   qS )gރB?rb   r   ).0ir   r   r   
<listcomp>  s    z7TestPrintOptions.test_switch_to_exp.<locals>.<listcomp>r!   r"   r[    )	enumerateSWITCH_TO_EXPr   r   r+   ranger*   replace)r   r   srV   r   r   r   test_switch_to_exp  s   
z#TestPrintOptions.test_switch_to_expc                 C   s   t ttg}t|dksJ | dksJ tddd t|dks&J | dks.J W d    d S 1 s9w   Y  d S )Nznan + inf xz&$x \mapsto \text{nan} + \text{inf}\,x$ZNANZINF)ZnanstrZinfstrzNAN + INF xz&$x \mapsto \text{NAN} + \text{INF}\,x$)r   r+   r   r   r*   r   r   rU   r   r   r   test_non_finite  s   
"z TestPrintOptions.test_non_finiteN)rA   rB   rC   r   rD   rE   rK   r   r   r   r   r   r   r   r   r   r     s    
	
r   )(mathr   r   rD   Z
numpy.corer   r   r   Znumpy.polynomialZ
polynomialr   Znumpy.testingr   r   	fractionsr	   decimalr
   r   rH   rN   ri   ro   rF   rG   rk   ru   rw   rx   r+   r2   r8   r;   r?   r5   r   r   r   r   r   r   r   r   r   <module>   sV    JNB

	
2U