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PolynomialÚstrr   )r   r   r   ÚpÚresr   r   r   Útest_polynomial_str   s   
z1TestStrUnicodeSuperSubscripts.test_polynomial_strõ!   1.0 + 2.0Â·Tâ‚�(x) + 3.0Â·Tâ‚‚(x)u1   -1.0 + 0.0Â·Tâ‚�(x) + 3.0Â·Tâ‚‚(x) - 1.0Â·Tâ‚ƒ(x)u°   0.0 + 1.0Â·Tâ‚�(x) + 2.0Â·Tâ‚‚(x) + 3.0Â·Tâ‚ƒ(x) + 4.0Â·Tâ‚„(x) + 5.0Â·Tâ‚…(x) +
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6.0Â·Lâ‚†(x) + 7.0Â·Lâ‚‡(x) + 8.0Â·Lâ‚ˆ(x) + 9.0Â·Lâ‚‰(x) + 10.0Â·Lâ‚�â‚€(x) + 11.0Â·Lâ‚�â‚�(x)c                 C   r/   r(   ©r*   r   ÚLaguerrer   r2   r   r   r   Útest_laguerre_strK   r4   z/TestStrUnicodeSuperSubscripts.test_laguerre_strc                 C   óL   t t ddg¡ƒ}d}t||ƒ t tjddgddgd�ƒ}d}t||ƒ d S )Nr   r!   u   0.0 + 1.0Â·xr"   ©Údomainu   0.0 + 1.0Â·(-3.0 + 2.0x)©r*   r   r)   r   ©r   r,   r   r   r   r   Útest_polynomial_str_domainsV   ó   
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11.0 T_11(x)c                 C   r/   r(   r0   r2   r   r   r   r3   p   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)z–0.0 + 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) +
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11.0 P_11(x)c                 C   r/   r(   r5   r2   r   r   r   r7   |   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)z–0.0 + 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) +
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11.0 H_11(x)c                 C   r/   r(   r8   r2   r   r   r   r:   ˆ   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)z¡0.0 + 1.0 He_1(x) + 2.0 He_2(x) + 3.0 He_3(x) + 4.0 He_4(x) +
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   éÈ   i¸  i@œ  i ¡ iÀ'	 ip i@  i„  )Ú	linewidthrb   )r   r)   r   r   r*   rc   r   r\   )r   rf   r   r+   Úliner   r   r   Útest_linewidth_printoptionâ   s   ÿÿ"þz+TestLinebreaking.test_linewidth_printoptionN)rI   rJ   rK   rL   rM   rS   r^   ra   rd   re   rN   rO   rm   r   r   r   r   rV   µ   s    
		
rV   c                  C   s¢   t  g d¢¡} t  g d¢¡}t  d¡ tt| ƒdƒ tt|ƒdƒ t  d¡ tt| ƒdƒ tt|ƒdƒ t t¡� t  d¡ W d   ƒ d S 1 sJw   Y  d S )	Nr    rR   rT   rU   r   r$   r.   Úinvalid_input)	r   r)   r1   r   r   r*   rL   ÚraisesÚ
ValueError)r+   Úcr   r   r   Útest_set_default_printoptions÷   s   

"ÿrr   c                  C   st   g d¢} t  | ¡}t  t| td�¡}t  d¡ tt|ƒdƒ tt|ƒdƒ t  d¡ tt|ƒdƒ tt|ƒdƒ d	S )
z%Test both numpy and built-in complex.)y              ð?y      ð?      ð?y       À       @y      @        ©Údtyper   u*   1j + (1+1j)Â·x - (2-2j)Â·xÂ² + (3+0j)Â·xÂ³u+   1j + (1+1j)Â·x + (-2+2j)Â·xÂ² + (3+0j)Â·xÂ³rR   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   Úobjectr   r   r*   )ÚcoefsÚp1Úp2r   r   r   Útest_complex_coefficients  s   


ry   )rv   r   r!   r"   r#   é   rs   u   1/2 + 3/4Â·xé   é   u   1 + 2Â·x + 5/7Â·xÂ²z1.00z2.2u   1.00 + 2.2Â·x + 3Â·xÂ²c                 C   s&   t  | ¡}t  d¡ tt|ƒ|ƒ d S r   ©r   r)   r   r   r*   ©rv   r   r+   r   r   r   Ú test_numeric_object_coefficients  s   

r   )r!   r"   Úfu   1 + 2Â·x + fÂ·xÂ²u   1 + 2Â·x + [3, 4]Â·xÂ²c                 C   s&   t  | ¡}t  d¡ tt|ƒ|ƒ dS )zK
    Test coef fallback for object arrays of non-numeric coefficients.
    r   Nr}   r~   r   r   r   Ú#test_nonnumeric_object_coefficients$  s   

r�   c                   @   s,   e Zd Zdd„ Zdd„ Zdd„ Zdd„ Zd	S )
Ú
TestFormatc                 C   ó,   t  d¡ t  g d¢¡}tt|dƒdƒ d S )NrR   ©r!   r"   r   r&   r   u"   1.0 + 2.0Â·x + 0.0Â·xÂ² - 1.0Â·xÂ³©r   r   r)   r   Úformatr]   r   r   r   Útest_format_unicode2  s   
zTestFormat.test_format_unicodec                 C   rƒ   )Nr   r„   rR   z!1.0 + 2.0 x + 0.0 x**2 - 1.0 x**3r…   r]   r   r   r   Útest_format_ascii7  s
   

ÿzTestFormat.test_format_asciic                 C   s6   t  d¡ t  g d¢¡}tt|ƒdƒ t|› dƒ d S )NrR   r    rT   r…   r]   r   r   r   Útest_empty_formatstr>  s   
zTestFormat.test_empty_formatstrc                 C   sH   t  g d¢¡}t t¡� t|dƒ W d   ƒ d S 1 sw   Y  d S )Nr„   z.2f)r   r)   rL   ro   rp   r†   r]   r   r   r   Útest_bad_formatstrD  s   "ÿzTestFormat.test_bad_formatstrN)rI   rJ   rK   r‡   rˆ   r‰   rŠ   r   r   r   r   r‚   1  s
    r‚   )r   r   u   1.0 + 2.0Â·z + 3.0Â·zÂ²u!   1.0 + 2.0Â·Tâ‚�(z) + 3.0Â·Tâ‚‚(z)u!   1.0 + 2.0Â·Hâ‚�(z) + 3.0Â·Hâ‚‚(z)u#   1.0 + 2.0Â·Heâ‚�(z) + 3.0Â·Heâ‚‚(z)u!   1.0 + 2.0Â·Lâ‚�(z) + 3.0Â·Lâ‚‚(z)u!   1.0 + 2.0Â·Pâ‚�(z) + 3.0Â·Pâ‚‚(z)c                 C   s"   | g d¢dd�}t |d›|ƒ d S )Nr    Úz©Úsymbolr   )r   )r   r   r+   r   r   r   Útest_symbolJ  s   	rŽ   c                   @   s<   e Zd Zdd„ Zdd„ Zdd„ Zdd„ Zd	d
„ Zdd„ ZdS )ÚTestReprc                 C   ó$   t t ddg¡ƒ}d}t||ƒ d S )Nr   r!   zFPolynomial([0., 1.], domain=[-1.,  1.], window=[-1.,  1.], symbol='x'))Úreprr   r)   r   rF   r   r   r   Útest_polynomial_reprX  ó   ÿzTestRepr.test_polynomial_reprc                 C   r�   )Nr   r!   zEChebyshev([0., 1.], domain=[-1.,  1.], window=[-1.,  1.], symbol='x'))r‘   r   r1   r   rF   r   r   r   Útest_chebyshev_repr`  r“   zTestRepr.test_chebyshev_reprc                 C   r�   )Nr   r!   zDLegendre([0., 1.], domain=[-1.,  1.], window=[-1.,  1.], symbol='x'))r‘   r   r6   r   rF   r   r   r   Útest_legendre_reprh  r“   zTestRepr.test_legendre_reprc                 C   r�   )Nr   r!   zCHermite([0., 1.], domain=[-1.,  1.], window=[-1.,  1.], symbol='x'))r‘   r   r9   r   rF   r   r   r   Útest_hermite_reprp  r“   zTestRepr.test_hermite_reprc                 C   r�   )Nr   r!   zDHermiteE([0., 1.], domain=[-1.,  1.], window=[-1.,  1.], symbol='x'))r‘   r   r<   r   rF   r   r   r   Útest_hermiteE_reprx  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   rF   r   r   r   Útest_laguerre_repr€  r“   zTestRepr.test_laguerre_reprN)	rI   rJ   rK   r’   r”   r•   r–   r—   r˜   r   r   r   r   r�   W  s    r�   c                   @   sD   e Zd ZdZedd„ ƒZdd„ Zdd„ Zdd	„ Zd
d„ Z	dd„ Z
dS )ÚTestLatexReprz#Test the latex repr used by Jupyterc                 C   s"   ddd„| _ z|  ¡ W | ` S | ` w )NFc                 S   s   t | ƒS r(   )r*   )ÚxÚparensr   r   r   Ú<lambda>‘  s    z(TestLatexRepr.as_latex.<locals>.<lambda>)F)Ú_repr_latex_scalarÚ_repr_latex_)Úobjr   r   r   Úas_latexŒ  s   zTestLatexRepr.as_latexc                 C   s”   t  g d¢¡}t|  |¡dƒ t jg d¢ddgd�}t|  |¡dƒ t jg d¢ddgd�}t|  |¡d	ƒ t jg d¢d
dgd�}t|  |¡dƒ d S )Nr    z%$x \mapsto 1.0 + 2.0\,x + 3.0\,x^{2}$éþÿÿÿr   rC   zK$x \mapsto 1.0 + 2.0\,\left(1.0 + x\right) + 3.0\,\left(1.0 + x\right)^{2}$ç      à¿ç      à?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    r]   r   r   r   Útest_simple_polynomial—  s    
ÿ
ÿ
ÿ
ÿz$TestLatexRepr.test_simple_polynomialc                 C   sH   t  g d¢¡}t|  |¡dƒ t jg d¢ddgd�}t|  |¡dƒ d S )Nr    z?$x \mapsto 1.0\,{T}_{0}(x) + 2.0\,{T}_{1}(x) + 3.0\,{T}_{2}(x)$r&   r   rC   zZ$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)$)r   r1   r   r    r]   r   r   r   Útest_basis_func¬  s   
ÿ
ÿzTestLatexRepr.test_basis_funcc                 C   s"   t  g d¢¡}t|  |¡dƒ d S )Nr    zB$x \mapsto 1.0\,{He}_{0}(x) + 2.0\,{He}_{1}(x) + 3.0\,{He}_{2}(x)$)r   r<   r   r    r]   r   r   r   Útest_multichar_basis_funcµ  s   
ÿz'TestLatexRepr.test_multichar_basis_funcc                 C   sž   t jg d¢dd�}t|  |¡dƒ t jg d¢ddgdd�}t|  |¡dƒ t jg d¢d	d
gdd�}t|  |¡dƒ t jg d¢ddgdd�}t|  |¡dƒ d S )Nr    r‹   rŒ   z%$z \mapsto 1.0 + 2.0\,z + 3.0\,z^{2}$r¡   r   )rD   r�   zK$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}$r¤   r]   r   r   r   Útest_symbol_basicº  s&   
ÿý	ý	ýzTestLatexRepr.test_symbol_basicc                 C   s4   t tddƒtdƒgƒ}t |¡}t|  |¡dƒ d S )Nr!   r"   z$x \mapsto 1/2 + 1\,x$)r   r	   r   r)   r   r    )r   rv   r+   r   r   r   r   Þ  s   
z.TestLatexRepr.test_numeric_object_coefficientsN)rI   rJ   rK   Ú__doc__Ústaticmethodr    r¥   r¦   r§   r¨   r   r   r   r   r   r™   ‰  s    

	$r™   )z"1.0 + (1.0e-01) x + (1.0e-02) x**2z"1.2 + (1.2e-01) x + (1.2e-02) x**2z11.23 + 0.12 x + (1.23e-02) x**2 + (1.23e-03) x**3z51.235 + 0.123 x + (1.235e-02) x**2 + (1.235e-03) x**3zG1.2346 + 0.1235 x + 0.0123 x**2 + (1.2346e-03) x**3 + (1.2346e-04) x**4zL1.23457 + 0.12346 x + 0.01235 x**2 + (1.23457e-03) x**3 + (1.23457e-04) x**4za1.234568 + 0.123457 x + 0.012346 x**2 + 0.001235 x**3 + (1.234568e-04) x**4 + (1.234568e-05) x**5zg1.2345679 + 0.1234568 x + 0.0123457 x**2 + 0.0012346 x**3 + (1.2345679e-04) x**4 + (1.2345679e-05) x**5c                   @   sN   e Zd ZdZejddd�dd„ ƒZdd„ Zd	d
„ Zdd„ Z	dd„ Z
dd„ ZdS )ÚTestPrintOptionsz¨
    Test the output is properly configured via printoptions.
    The exponential notation is enabled automatically when the values
    are too small or too large.
    r   Tr   c                 C   r   rQ   r   r   r   r   r   rS   ÷  r   zTestPrintOptions.use_asciic                 C   sZ   t  g d¢¡}tt|ƒdƒ tdd�� tt|ƒdƒ W d   ƒ d S 1 s&w   Y  d S )N©r£   g’$I’$IÂ?gI’$Ir?kAgmÛ¶m§¡AzC0.5 + 0.14285714 x + 14285714.28571429 x**2 + (1.42857143e+08) x**3r#   ©Ú	precisionz40.5 + 0.143 x + 14285714.286 x**2 + (1.429e+08) x**3©r   r)   r   r*   r   r]   r   r   r   Útest_strû  s
   "ÿzTestPrintOptions.test_strc                 C   sZ   t  g d¢¡}t| ¡ dƒ tdd�� t| ¡ dƒ W d   ƒ 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   rž   r   r]   r   r   r   Ú
test_latex  s   ÿÿ"ÿzTestPrintOptions.test_latexc                 C   s’   t  dg¡}tt|ƒdƒ tdd�� tt|ƒdƒ W d   ƒ n1 s$w   Y  tddd�� tt|ƒdƒ W d   ƒ d S 1 sBw   Y  d S )	Nr£   z0.5Úfixed)Ú	floatmodez
0.50000000rz   )r³   r®   z0.5000r¯   r]   r   r   r   Ú
test_fixed  s   ÿ"ÿzTestPrintOptions.test_fixedc              	   C   sx   t tƒD ]5\}}t|d��$ t dd„ t|d d ƒD ƒ¡}t|ƒ dd¡|ks*J ‚W d   ƒ n1 s4w   Y  qd S )Nr­   c                 S   s   g | ]	}d d|   ‘qS )gÞƒBÊÀó?ri   r   )Ú.0Úir   r   r   Ú
<listcomp>  s    ÿz7TestPrintOptions.test_switch_to_exp.<locals>.<listcomp>r"   r#   rb   ú )Ú	enumerateÚSWITCH_TO_EXPr   r   r)   Úranger*   Úreplace)r   r¶   Úsr+   r   r   r   Útest_switch_to_exp  s   
ÿý€ÿz#TestPrintOptions.test_switch_to_expc                 C   s€   t  ttg¡}t|ƒdksJ ‚| ¡ dksJ ‚tddd�� t|ƒdks&J ‚| ¡ dks.J ‚W d   ƒ d S 1 s9w   Y  d S )Nznan + inf xz&$x \mapsto \text{nan} + \text{inf}\,x$ÚNANÚINF)ÚnanstrÚinfstrzNAN + INF xz&$x \mapsto \text{NAN} + \text{INF}\,x$)r   r)   r   r   r*   rž   r   r]   r   r   r   Útest_non_finite!  s   
ÿ"þz TestPrintOptions.test_non_finiteN)rI   rJ   rK   r©   rL   rM   rS   r°   r±   r´   r¾   rÃ   r   r   r   r   r«   ð  s    
	
r«   )(Úmathr   r   rL   Únumpy._corer   r   r   Únumpy.polynomialÚ
polynomialr   Únumpy.testingr   r   Ú	fractionsr	   Údecimalr
   r   rP   rV   rr   ry   rN   rO   ru   r   r�   r‚   r)   r1   r9   r<   r@   r6   rŽ   r�   r™   rº   r«   r   r   r   r   Ú<module>   sV    SVBÿÿÿù
þ
	ú
2Z