o
    k)hH                     @   s  d Z ddlZddlmZ ddlZddlZddlm	Z	m
Z
mZmZmZmZ ddlmZmZmZmZ ddlmZ e	e
eeeefZedd eD Zejeed	d
d ZejjZdMddZeZe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%d& Z*d'd( Z+d)d* Z,d+d, Z-d-d. Z.d/d0 Z/d1d2 Z0d3d4 Z1d5d6 Z2d7d8 Z3d9d: Z4d;d< Z5d=d> Z6d?d@ Z7dAdB Z8dCdD Z9dEdF Z:dGdH Z;dIdJ Z<G dKdL dLZ=dS )NzTest inter-conversion of different polynomial classes.

This tests the convert and cast methods of all the polynomial classes.

    N)Number)
PolynomialLegendre	ChebyshevLaguerreHermiteHermiteE)assert_almost_equalassert_raisesassert_equalassert_)RankWarningc                 c   s    | ]}|j V  qd S N)__name__).0cls r   Clib/python3.10/site-packages/numpy/polynomial/tests/test_classes.py	<genexpr>   s    r   )paramsZidsc                 C   s   | j S r   )Zparam)Zrequestr   r   r   Poly   s   r    c                 C   sh   z t t| j|jk t t| j|jk t| j|j W d S  ty3   d|  d| }t|w )NzResult: z	
Target: )r   npalldomainwindowr	   coefAssertionError)p1p2msgr   r   r   assert_poly_almost_equal&   s   r!   c           
      C   s   t ddd}td}| jtdd  }| jtdd  }| |||d}|jtdd  }|jtdd  }|j|||d}	t|	j| t|	j| t|	||| d S )	Nr      
               ?r   r   )kindr   r   )r   linspacerandomr   r   Zconvertr	   
Poly1Poly2xr   Zd1Zw1r   Zd2Zw2r   r   r   r   test_conversion8      r1   c           
      C   s   t ddd}td}| jtdd  }| jtdd  }| |||d}|jtdd  }|jtdd  }|j|||d}	t|	j| t|	j| t|	||| d S )Nr   r"   r#   r$   r&   r(   r)   )r   r+   r,   r   r   castr	   r-   r   r   r   	test_castI   r2   r4   c                 C   sr   | j tdd  }| jtdd  }t|d |d d}| j||d}t|j | t|j| t||| d S )Nr&   r(   r   r"      r)   )r   r,   r   r   r+   identityr   r	   )r   dwr0   pr   r   r   test_identity_   s   r:   c                 C   sh   | j tdd  }| jtdd  }| jd||d}t|j | t|j| t|jdgd dg  d S )Nr&   r(      r)   r   r"   )r   r,   r   basisr   r   r   r7   r8   r9   r   r   r   
test_basisi   s   r>   c                 C   s   | j tdd  }| jtdd  }td}| j|||d}t| t| t|j | t|j| t||d tj }tj}tj	|||d}t|j
d d d S )Nr&   r(   )r;   r)   r   r"   )r   r,   r   	fromrootsr   degreelenr	   r   r3   r   )r   r7   r8   rr   ZpdomZpwinr   r   r   r   test_fromrootsr   s   rD   c                 C   sd   g d}g d}t t}| ||d W d    n1 sw   Y  |d jjd dks0J d S )N)        rE         ?)rF   g       @g      @r'   r   z!The fit may be poorly conditioned)pytestZwarnsr   fitmessageargs)r   r0   yrecordr   r   r   test_bad_conditioned_fit   s   rM   c                 C   s  dd }t dd}||}| ||d}t|jddg t||| t| d | jtdd  }| jtdd  }| j||d||d}t||| t|j| t|j| | j||g d||d}t||| t|j| t|j| | ||dg }t|j| j t|j| j | ||g dg }t|j| j t|j| j t 	|}|t|j
d  }d	|d d d
< | |d d d
 |d d d
 d}| j||d|d}	| j||g d|d}
t|||	| t|	||
| d S )Nc                 S   s   | | d  | d  S Nr"   r'   r   )r0   r   r   r   f      ztest_fit.<locals>.fr   r%   r&   r(   r)   )r   r"   r'   r%   r"   r'   )r8   )r   r+   rH   r	   r   r   rA   r,   r   Z
zeros_likeshape)r   rO   r0   rK   r9   r7   r8   zr   r   p3r   r   r   test_fit   s>   
"rT   c                 C   s   | g dddgddgd}| g dddgddgd}| g dddgddgd}| g dddgddgd}t ||k t ||k  t ||k  t ||k  d S Nr"   r'   r%   r   r"   r'   r%   r)   )r"   r"   r"   r   r   r   r   rS   p4r   r   r   
test_equal   s   rZ   c                 C   s   | g dddgddgd}| g dddgddgd}| g dddgddgd}| g dddgddgd}t ||k  t ||k t ||k t ||k d S rU   rW   rX   r   r   r   test_not_equal   s   r[   c                 C   s*  t tdd }t tdd }| |}| |}|| }t|| | t|| | t|| | t|t| | tt|| | t|t| | tt|| | tttj	|| dg| j
d d tttj	|| dg| jd d | tu rtttj	|tdg d S tttj	|tdg d S N         ?r$   r   r"   r   r   )listr,   r!   tupler   arrayr
   	TypeErroropaddr   r   r   r   r   c1c2r   r   rS   r   r   r   test_add   s"     rk   c                 C   s2  t tdd }t tdd }| |}| |}|| }t|| |  t|| | t|| |  t|t| | tt|| |  t|t| | tt|| |  tttj	|| dg| j
d d tttj	|| dg| jd d | tu rtttj	|tdg d S tttj	|tdg d S r\   )rb   r,   r!   rc   r   rd   r
   re   rf   subr   r   r   r   rh   r   r   r   test_sub   s"     rm   c                 C   sZ  t tdd }t tdd }| |}| |}|| }t|| | t|| | t|| | t|t| | tt|| | t|t| | tt|| | t|d || dg  td| || dg  tttj	|| dg| j
d d tttj	|| dg| jd d | tu rtttj	|tdg d S tttj	|tdg d S )	Nr]   r_   r$   r'   r   r"   r`   ra   )rb   r,   r!   rc   r   rd   r
   re   rf   mulr   r   r   r   rh   r   r   r   test_mul   s&     ro   c           	      C   sv  t tdd }t tdd }t tdd }| |}| |}| |}|| | }t |j}t|| | t|| | t|| | t|t| | tt|| | t|t| | tt|| | td| | dg t|d d|  ttt	j
|| dg| jd d ttt	j
|| dg| jd d	 | tu rttt	j
|tdg d S ttt	j
|tdg d S 
Nr]   r_   r$   r&   r'   r   r"   r`   ra   )rb   r,   r   r!   rc   r   rd   r
   re   rf   floordivr   r   r   r   	r   ri   rj   c3r   r   rS   rY   c4r   r   r   test_floordiv  s4   
ru   c                 C   s6  | g d}|d }t jD ]"}t|trt|trq|d}tt||| tt	tj|| qt
tfD ]}|d}tt||| tt	tj|| q4tfD ]}|dd}tt||| tt	tj|| qOt t t t t dgfD ]}tt	tj|| tt	tj|| qwtD ]}tt	tj||d qd S )NrV   r;   r   r"   )r   Z
ScalarType
issubclassr   boolr!   rf   truedivr
   re   intfloatcomplexrc   rb   dictrd   classes)r   r   r   stypesZptyper   r   r   test_truediv1  s,   


"r   c           	      C   sx  t tdd }t tdd }t tdd }| |}| |}| |}|| | }t |j}t|| | t|| | t|| | t|t| | tt|| | t|t| | tt|| | td| | dg t|d | dg ttt	j
|| dg| jd d ttt	j
|| dg| jd d	 | tu rttt	j
|tdg d S ttt	j
|tdg d S rp   )rb   r,   r   r!   rc   r   rd   r
   re   rf   modr   r   r   r   rr   r   r   r   test_modL  s,   
  r   c                 C   s0  t tdd }t tdd }t tdd }| |}| |}| |}|| | }t |j}t||\}	}
t|	| t|
| t||\}	}
t|	| t|
| t||\}	}
t|	| t|
| t|t|\}	}
t|	| t|
| tt||\}	}
t|	| t|
| t|t|\}	}
t|	| t|
| tt||\}	}
t|	| t|
| t|d\}	}
t|	d|  t|
| dg td|\}	}
t|	| dg t|
| dg tt	t|| dg| j
d d tt	t|| dg| jd d	 | tu rtt	t|tdg d S tt	t|tdg d S rp   )rb   r,   r   divmodr!   rc   r   rd   r
   re   r   r   r   r   )r   ri   rj   rs   r   r   rS   rY   rt   ZquoZremr   r   r   test_divmodg  sP   















r   c                 C   sp   | j d d }| j}t|d |d d}t| j|||d }t|| t| | }t|| d S )Ng      ?r(   r   r"   r;   r)   )r   r   r   r+   sortr@   rootsr	   )r   r7   r8   tgtresr   r   r   
test_roots  s   
r   c                 C   s   |  d}t| d d S Nr;   )r<   r   rA   r   r9   r   r   r   test_degree  s   
r   c                 C   s^   |  d}| }t||k t||u t|j|ju t|j|ju t|j|ju d S r   )r<   copyr   r   r   r   )r   r   r   r   r   r   	test_copy  s   
r   c                 C   sz  t }| |g d}|| }||d}t||g d t||g d | |g d}||jdd}||jdddgd}t||g d t||g d | |g d}||jdd	}||jddd	}t||g d
 t||g d d| j }| j|g d|d}|| }||d}t||g d t||g d d S )N)r'         r'   )r   r'   r%   r^   )r   r   r"   r"   r"   r"   k)r"   r'   r%   r^   )r"   r"   r"   r"   r"   )Zlbnd)r'   r%   r^   )r   r   r"   r"   r"   r`   )r   r3   integr!   r   )r   PZp0r   r   r7   r   r   r   
test_integ  s,   
r   c                 C   s   | j tdd  }| jtdd  }| g d||d}|jdddgd}|jddgd}t|dj|j t|dj|j | g d}|jdddgd}|jddgd}t|dj|j t|dj|j d S )Nr&   r(   rV   r)   r'   r"   r   )r   r,   r   r   r	   Zderivr   )r   r7   r8   r   r   rS   r   r   r   
test_deriv  s   r   c                 C   s   | j tdd  }| jtdd  }| g d||d}t|d |d d}||}|d\}}t|| t|| tddd}||}|jdddgd	\}}t|| t|| d S )
Nr&   r(   rV   r)   r   r"      r'   r`   )r   r,   r   r   r+   r	   )r   r7   r8   r9   ZxtgtZytgtZxresZyresr   r   r   test_linspace  s   


r   c                 C   s   | j tdd  }| jtdd  }| dg||d}| g d||d}tdD ]}t|| | || }q'| dg}| g d}tdD ]}t|| | || }qDtttj|d tttj|d d S )	Nr&   r(   r"   r)   rV   r;   g      ?r?   )	r   r,   r   ranger!   r
   
ValueErrorrf   pow)r   r7   r8   r   Ztstir   r   r   test_pow  s   


r   c                 C   s\   t }| j}t|d |d d}| |g d}d|dd|    }||}t|| d S )Nr   r"   r5   rV   r'   r%   )r   r   r   r+   r3   r	   )r   r   r7   r0   r9   r   r   r   r   r   	test_call  s   r   c                 C   s4   | g d}g d}||}t ||t| d S )NrV   )r?   r   r'   )r   r   rd   )r   r9   r0   r   r   r   r   test_call_with_list  s   r   c                 C   s|   | g d}t t|jd t t|jd tt|dd tt|dd tt|dd tt|dd d S )NrV   r_   r?   r%   r'   r"   r   )r
   r   Zcutdegr   rB   r   r   r   r   test_cutdeg     r   c                 C   s|   | g d}t t|jd t t|jd tt|dd tt|dd tt|dd tt|dd d S )NrV   r_   r   r^   r%   r'   r"   )r
   r   truncater   rB   r   r   r   r   test_truncate  r   r   c                 C   s`   g d}| |}t | j|d d  t |dj|d d  t |dj|d d  d S )N)r"   gư>g-q=r   r%   g|=r'   gh㈵>r"   )r   Ztrimr   )r   cr9   r   r   r   	test_trim)  s
   r   c                 C   s`   | j }| j}| dg||d}tddg|  d| d }| dg||d}tddg|  d S )Nr"   r)   r   r'   )r   r   r	   Zmapparmsr=   r   r   r   test_mapparms1  s   r   c                 C   s:   | g d}t d}ttt j|| ttt j|| d S )NrV   r%   )r   Zonesr
   re   rg   )r   r9   r0   r   r   r   test_ufunc_override=  s   
r   c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
TestInterpolatec                 C   s   ||d  |d  S rN   r   )selfr0   r   r   r   rO   K  rP   zTestInterpolate.fc                 C   s(   t ttj| jd t ttj| jd d S )Nr?   g      $@)r
   r   r   interpolaterO   re   )r   r   r   r   test_raisesN  s   zTestInterpolate.test_raisesc                 C   s.   t ddD ]}tt| j| |k qd S )Nr"   r;   )r   r   r   r   rO   rA   )r   degr   r   r   test_dimensionsR  s   zTestInterpolate.test_dimensionsc                 C   sn   dd }t ddd}tddD ]$}td|d D ]}tj||ddg|fd}t|||||dd	 qqd S )
Nc                 S   s   | | S r   r   )r0   r9   r   r   r   powxX  s   z0TestInterpolate.test_approximation.<locals>.powxr   r'   r#   r"   )r   rJ   r5   )decimal)r   r+   r   r   r   r	   )r   r   r0   r   tr9   r   r   r   test_approximationV  s   z"TestInterpolate.test_approximationN)r   
__module____qualname__rO   r   r   r   r   r   r   r   r   I  s
    r   )r   )>__doc__operatorrf   Znumbersr   rG   Znumpyr   Znumpy.polynomialr   r   r   r   r   r   Znumpy.testingr	   r
   r   r   Znumpy.exceptionsr   r}   rc   ZclassidsZfixturer   r,   r!   r.   r/   r1   r4   r:   r>   rD   rM   rT   rZ   r[   rk   rm   ro   ru   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   <module>   sb     


	,-


