Ë
    (�£jMÖ  ã                  óŽ  — d 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
 ddlZddlZddlmZmZmZmZ ddlmZ ddlmZmZmZmZmZmZmZ ddlmZ dd	l m!Z! dd
l"m#Z#m$Z$ ddl%m&Z&m'Z'm(Z(m)Z)m*Z*m+Z+m,Z,m-Z-m.Z.m/Z/m0Z0m1Z1m2Z2m3Z3m4Z4m5Z5 ddl6m7Z7 ddl8m9Z9m:Z:m;Z;m<Z< ddl=m>Z>m?Z?m@Z@mAZAmBZBmCZCmDZD ddlEmFZFmGZG ddlHmIZI ddlJmKZLmMZMmNZN ddlOmPZP er,ddlmQZQmRZRmSZS ddlTmUZUmVZVmWZW ddlXmYZYmZZZ  edeVeUz  eZz  ¬«      Z[d7d„Z\	 	 	 	 	 	 	 	 d8d„Z]d9d„Z^ej¾                  ejÀ                  ejÂ                  ejÄ                  ejÆ                  ejÈ                  ejÊ                  ejÌ                  ejÎ                  ejÐ                  ejÒ                  ejÔ                  ejÖ                  ejØ                  dœZm	 	 	 	 d:d„Znd;d„Zoe
d<d„«       Zpe
d=d„«       Zp ed «      d!„ «       Zpd>d"„Zqd?d@d#„ZrepZsd$ZtdAd%„Zu	 	 	 	 dB	 	 	 	 	 	 	 	 	 	 	 dCd&„Zv ed «      	 	 	 dD	 	 	 	 	 	 	 dEd'„«       Zw	 	 	 	 	 dF	 	 	 	 	 	 	 	 	 dGd(„Zx	 d?	 	 	 	 	 	 	 dHd)„Zy	 	 dI	 	 	 	 	 	 	 dJd*„Zz	 dK	 	 	 	 	 	 	 dLd+„Z{	 	 	 	 	 	 dM	 	 	 	 	 	 	 	 	 	 	 	 	 	 	 dNd,„Z| ed-«      	 	 	 dO	 	 	 	 	 dPd.„«       Z}	 	 dQ	 	 	 	 	 	 	 	 	 dRd/„Z~h d0£ZdSdTd1„Z€	 	 	 	 dU	 	 	 	 	 	 	 	 	 	 	 dVd2„Z�dWd3„Z‚dXd4„Zƒ	 	 	 	 	 	 dYd5„Z„	 d?	 	 	 	 	 dZd6„Z…y)[zl
Generic data algorithms. This module is experimental at the moment and not
intended for public consumption
é    )ÚannotationsN)ÚTYPE_CHECKINGÚLiteralÚTypeVarÚcastÚoverload)ÚalgosÚ	hashtableÚiNaTÚlib©ÚNA)ÚAnyArrayLikeÚ	ArrayLikeÚ
ArrayLikeTÚAxisIntÚDtypeObjÚTakeIndexerÚnpt)Ú
set_module)Úfind_stack_level)Ú'construct_1d_object_array_from_listlikeÚnp_find_common_type)Úensure_float64Úensure_objectÚensure_platform_intÚis_bool_dtypeÚis_complex_dtypeÚis_dict_likeÚis_dtype_equalÚis_extension_array_dtypeÚis_floatÚis_float_dtypeÚ
is_integerÚis_integer_dtypeÚis_list_likeÚis_object_dtypeÚis_signed_integer_dtypeÚneeds_i8_conversion)Úconcat_compat)ÚBaseMaskedDtypeÚCategoricalDtypeÚExtensionDtypeÚNumpyEADtype)ÚABCDatetimeArrayÚABCExtensionArrayÚABCIndexÚABCMultiIndexÚABCNumpyExtensionArrayÚ	ABCSeriesÚABCTimedeltaArray)ÚisnaÚna_value_for_dtype)Útake_nd)ÚarrayÚensure_wrapped_if_datetimelikeÚextract_array)Úvalidate_indices)ÚListLikeÚNumpySorterÚNumpyValueArrayLike)ÚCategoricalÚIndexÚSeries)ÚBaseMaskedArrayÚExtensionArrayÚT)Úboundc                óÌ  — t        | t        «      st        | d¬«      } t        | j                  «      rt        t        j                  | «      «      S t        | j                  t        «      rBt        d| «      } | j                  st        | j                  «      S t        j                  | «      S t        | j                  t        «      rt        d| «      } | j                  S t        | j                  «      rdt        | t        j                   «      r$t        j                  | «      j#                  d«      S t        j                  | «      j%                  dd¬«      S t'        | j                  «      rt        j                  | «      S t)        | j                  «      r8| j                  j*                  dv rt-        | «      S t        j                  | «      S t/        | j                  «      rt        t        j                   | «      S t1        | j                  «      r-| j#                  d	«      }t        t        j                   |«      }|S t        j                  | t2        ¬
«      } t        | «      S )a„  
    routine to ensure that our data is of the correct
    input dtype for lower-level routines

    This will coerce:
    - ints -> int64
    - uint -> uint64
    - bool -> uint8
    - datetimelike -> i8
    - datetime64tz -> i8 (in local tz)
    - categorical -> codes

    Parameters
    ----------
    values : np.ndarray or ExtensionArray

    Returns
    -------
    np.ndarray
    T©Úextract_numpyrC   r@   Úuint8F©Úcopy)é   é   é   Úi8©Údtype)Ú
isinstancer2   r;   r'   rR   r   ÚnpÚasarrayr+   r   Ú_hasnaÚ_ensure_dataÚ_datar,   Úcodesr   ÚndarrayÚviewÚastyper%   r#   Úitemsizer   r   r)   Úobject)ÚvaluesÚnpvaluess     ú8C:\FundamentalWorkbench\vendor\pandas\core\algorithms.pyrW   rW   r   s¸  € ô, �fœmÔ,ä˜v°TÔ:ˆä�v—|‘|Ô$ÜœRŸZ™Z¨Ó/Ó0Ð0ä	�F—L‘L¤/Ô	2äÐ'¨Ó0ˆØ�}Š}ô   §¡Ó-Ð-Ü�z‰z˜&Ó!Ð!ä	�F—L‘LÔ"2Ô	3ô �m VÓ,ˆØ�|‰|Ðä	�v—|‘|Ô	$Ü�fœbŸj™jÔ)ä—:‘:˜fÓ%×*Ñ*¨7Ó3Ð3ô —:‘:˜fÓ%×,Ñ,¨W¸5Ð,ÓAÐAä	˜&Ÿ,™,Ô	'Ü�z‰z˜&Ó!Ð!ä	˜Ÿ™Ô	%ð �<‰<× Ñ  KÑ/ä! &Ó)Ð)Ü�z‰z˜&Ó!Ð!ä	˜&Ÿ,™,Ô	'Ü”B—J‘J Ó'Ð'ô 
˜VŸ\™\Ô	*Ø—;‘;˜tÓ$ˆÜœŸ
™
 HÓ-ˆØˆô �Z‰Z˜¤fÔ-€FÜ˜Ó Ð ó    c                óä   — t        | t        «      r| j                  |k(  r| S t        |t        j                  «      s#|j	                  «       }|j                  | |¬«      S | j                  |d¬«      S )zç
    reverse of _ensure_data

    Parameters
    ----------
    values : np.ndarray or ExtensionArray
    dtype : np.dtype or ExtensionDtype
    original : AnyArrayLike

    Returns
    -------
    ExtensionArray or np.ndarray
    rQ   FrK   )rS   r0   rR   rT   Úconstruct_array_typeÚ_from_sequencer\   )r_   rR   ÚoriginalÚclss       ra   Ú_reconstruct_datarh   À   sj   € ô  �&Ô+Ô,°·±ÀÒ1Fàˆä�eœRŸX™XÔ&ð ×(Ñ(Ó*ˆð
 ×!Ñ! &°Ð!Ó6Ð6ð
 �=‰=˜ Uˆ=Ó+Ð+rb   c                óf  — t        | t        t        t        t        j
                  t        f«      s�|dk7  r$t        |› dt        | «      j                  › d�«      ‚t        j                  | d¬«      }|dv r(t        | t        «      rt        | «      } t        | «      } | S t	        j                  | «      } | S )z5
    ensure that we are arraylike if not already
    úisin-targetszQ requires a Series, Index, ExtensionArray, np.ndarray or NumpyExtensionArray got Ú.F©Úskipna)ÚmixedÚstringúmixed-integer)rS   r1   r4   r0   rT   rZ   r3   Ú	TypeErrorÚtypeÚ__name__r   Úinfer_dtypeÚtupleÚlistr   rU   )r_   Ú	func_nameÚinferreds      ra   Ú_ensure_arraylikery   ä   s¯   € ô ØÜ	”9Ô/´·±Ô=SÐTôð
 ˜Ò&äØ�+ð ä˜F“|×,Ñ,Ð-¨Qð0óð ô —?‘? 6°%Ô8ˆØÐ;Ñ;ä˜&¤%Ô(Ü˜f›�Ü<¸VÓDˆFð €Mô —Z‘Z Ó'ˆFØ€Mrb   )Ú
complex128Ú	complex64Úfloat64Úfloat32Úuint64Úuint32Úuint16rJ   Úint64Úint32Úint16Úint8ro   r^   c                óH   — t        | «      } t        | «      }t        |   }|| fS )z‰
    Parameters
    ----------
    values : np.ndarray

    Returns
    -------
    htable : HashTable subclass
    values : ndarray
    )rW   Ú_check_object_for_stringsÚ_hashtables)r_   Úndtyper
   s      ra   Ú_get_hashtable_algor‰     s-   € ô ˜&Ó!€Fä& vÓ.€FÜ˜FÑ#€IØ�fÐÐrb   c                ón   — | j                   j                  }|dk(  rt        j                  | d¬«      rd}|S )z 
    Check if we can use string hashtable instead of object hashtable.

    Parameters
    ----------
    values : ndarray

    Returns
    -------
    str
    r^   Frl   ro   )rR   Únamer   Úis_string_array)r_   rˆ   s     ra   r†   r†   &  s7   € ð �\‰\×Ñ€FØ�Òô ×Ñ˜v¨eÕ4ØˆFØ€Mrb   c                 ó   — y ©N© ©r_   s    ra   Úuniquer‘   A  s   € Ørb   c                 ó   — y rŽ   r�   r�   s    ra   r‘   r‘   C  s   € Ø7:rb   Úpandasc                ó   — t        | «      S )a¹  
    Return unique values based on a hash table.

    Uniques are returned in order of appearance. This does NOT sort.

    Significantly faster than numpy.unique for long enough sequences.
    Includes NA values.

    Parameters
    ----------
    values : 1d array-like
        The input array-like object containing values from which to extract
        unique values.

    Returns
    -------
    numpy.ndarray, ExtensionArray or NumpyExtensionArray

        The return can be:

        * Index : when the input is an Index
        * Categorical : when the input is a Categorical dtype
        * ndarray : when the input is a Series/ndarray

        Return numpy.ndarray, ExtensionArray or NumpyExtensionArray.

    See Also
    --------
    Index.unique : Return unique values from an Index.
    Series.unique : Return unique values of Series object.

    Examples
    --------
    >>> pd.unique(pd.Series([2, 1, 3, 3]))
    array([2, 1, 3])

    >>> pd.unique(pd.Series([2] + [1] * 5))
    array([2, 1])

    >>> pd.unique(pd.Series([pd.Timestamp("20160101"), pd.Timestamp("20160101")]))
    array(['2016-01-01T00:00:00.000000'], dtype='datetime64[us]')

    >>> pd.unique(
    ...     pd.Series(
    ...         [
    ...             pd.Timestamp("20160101", tz="US/Eastern"),
    ...             pd.Timestamp("20160101", tz="US/Eastern"),
    ...         ],
    ...         dtype="M8[ns, US/Eastern]",
    ...     )
    ... )
    <DatetimeArray>
    ['2016-01-01 00:00:00-05:00']
    Length: 1, dtype: datetime64[ns, US/Eastern]

    >>> pd.unique(
    ...     pd.Index(
    ...         [
    ...             pd.Timestamp("20160101", tz="US/Eastern"),
    ...             pd.Timestamp("20160101", tz="US/Eastern"),
    ...         ],
    ...         dtype="M8[ns, US/Eastern]",
    ...     )
    ... )
    DatetimeIndex(['2016-01-01 00:00:00-05:00'],
            dtype='datetime64[ns, US/Eastern]',
            freq=None)

    >>> pd.unique(np.array(list("baabc"), dtype="O"))
    array(['b', 'a', 'c'], dtype=object)

    An unordered Categorical will return categories in the
    order of appearance.

    >>> pd.unique(pd.Series(pd.Categorical(list("baabc"))))
    ['b', 'a', 'c']
    Categories (3, str): ['a', 'b', 'c']

    >>> pd.unique(pd.Series(pd.Categorical(list("baabc"), categories=list("abc"))))
    ['b', 'a', 'c']
    Categories (3, str): ['a', 'b', 'c']

    An ordered Categorical preserves the category ordering.

    >>> pd.unique(
    ...     pd.Series(
    ...         pd.Categorical(list("baabc"), categories=list("abc"), ordered=True)
    ...     )
    ... )
    ['b', 'a', 'c']
    Categories (3, str): ['a' < 'b' < 'c']

    An array of tuples

    >>> pd.unique(pd.Series([("a", "b"), ("b", "a"), ("a", "c"), ("b", "a")]).values)
    array([('a', 'b'), ('b', 'a'), ('a', 'c')], dtype=object)

    A NumpyExtensionArray of complex

    >>> pd.unique(pd.array([1 + 1j, 2, 3]))
    <NumpyExtensionArray>
    [(1+1j), (2+0j), (3+0j)]
    Length: 3, dtype: complex128
    )Úunique_with_maskr�   s    ra   r‘   r‘   G  s   € ôT ˜FÓ#Ð#rb   c                óÀ   — t        | «      dk(  ryt        | «      } t        j                  | j	                  «       j                  d«      «      dk7  j                  «       }|S )aH  
    Return the number of unique values for integer array-likes.

    Significantly faster than pandas.unique for long enough sequences.
    No checks are done to ensure input is integral.

    Parameters
    ----------
    values : 1d array-like

    Returns
    -------
    int : The number of unique values in ``values``
    r   Úintp)ÚlenrW   rT   ÚbincountÚravelr\   Úsum)r_   Úresults     ra   Únunique_intsr�   ´  sO   € ô ˆ6ƒ{�aÒØÜ˜&Ó!€Fä�k‰k˜&Ÿ,™,›.×/Ñ/°Ó7Ó8¸AÑ=×BÑBÓD€FØ€Mrb   c                óÒ  — t        | d¬«      } t        | j                  t        «      r| j	                  «       S t        | t
        «      r| j	                  «       S | }t        | «      \  }}  |t        | «      «      }|€*|j	                  | «      }t        ||j                  |«      }|S |j	                  | |¬«      \  }}t        ||j                  |«      }|€J ‚||j                  d«      fS )z?See algorithms.unique for docs. Takes a mask for masked arrays.r‘   ©rw   ©ÚmaskÚbool)
ry   rS   rR   r-   r‘   r1   r‰   r˜   rh   r\   )r_   r¡   rf   r
   ÚtableÚuniquess         ra   r•   r•   Ë  sÔ   € ä˜v°Ô:€Fä�&—,‘,¤Ô/à�}‰}‹Ðä�&œ(Ô#à�}‰}‹Ðà€HÜ+¨FÓ3Ñ€Iˆvá”c˜&“kÓ"€EØ€|Ø—,‘,˜vÓ&ˆÜ# G¨X¯^©^¸XÓFˆØˆð Ÿ™ V°$˜Ó7‰ˆ�Ü# G¨X¯^©^¸XÓFˆØÐÐÐØ˜Ÿ™ FÓ+Ð+Ð+rb   i@B c                óD  — t        | «      s"t        dt        | «      j                  › d�«      ‚t        |«      s"t        dt        |«      j                  › d�«      ‚t	        |t
        t        t        t        j                  f«      sat        |«      }t        |d¬«      }t        |«      dkD  ro|j                  j                  dv rWt        | «      sLt!        || «      s@t#        |«      }n4t	        |t$        «      rt        j&                  |«      }nt)        |dd¬«      }t        | d	¬«      }t)        |d¬
«      }t	        |t        j                  «      s|j+                  |«      S t-        |j                  «      rt/        |«      j+                  |«      S t-        |j                  «      r:t1        |j                  «      s%t        j2                  |j4                  t6        ¬«      S t-        |j                  «      rt+        ||j9                  t:        «      «      S t	        |j                  t<        «      r2t+        t        j>                  |«      t        j>                  |«      «      S t        |«      t@        kD  rTt        |«      dk  rF|j                  t:        k7  r3tC        d„ |D «       «      s!tE        |«      jC                  «       rd„ }nZd„ }nVtG        |j                  |j                  «      }|j9                  |d¬«      }|j9                  |d¬«      }tH        jJ                  } |||«      S )zÀ
    Compute the isin boolean array.

    Parameters
    ----------
    comps : list-like
    values : list-like

    Returns
    -------
    ndarray[bool]
        Same length as `comps`.
    zIonly list-like objects are allowed to be passed to isin(), you passed a `Ú`rj   rŸ   r   ÚiufcbT)rI   Úextract_rangeÚisinrH   rQ   é   c              3  ó,   K  — | ]  }|t         u –— Œ y ­wrŽ   r   )Ú.0Úvs     ra   Ú	<genexpr>zisin.<locals>.<genexpr>9  s   è ø€ Ð,¡V �Aœ”G¡Vùs   ‚c                ó˜   — t        j                  t        j                  | |«      j                  «       t        j                  | «      «      S rŽ   )rT   Ú
logical_orr©   rš   Úisnan)Úcr­   s     ra   Úfzisin.<locals>.f?  s.   € Ü—}‘}¤R§W¡W¨Q°£]×%8Ñ%8Ó%:¼B¿H¹HÀQ»KÓHÐHrb   c                óJ   — t        j                  | |«      j                  «       S rŽ   )rT   r©   rš   )ÚaÚbs     ra   Ú<lambda>zisin.<locals>.<lambda>C  s   € œRŸW™W Q¨›]×0Ñ0Ô2rb   FrK   )&r&   rq   rr   rs   rS   r1   r4   r0   rT   rZ   rv   ry   r˜   rR   Úkindr(   r    r   r2   r9   r;   r©   r)   Úpd_arrayr'   ÚzerosÚshaper¢   r\   r^   r-   rU   Ú_MINIMUM_COMP_ARR_LENÚanyr6   r   ÚhtableÚismember)Úcompsr_   Úorig_valuesÚcomps_arrayr³   Úcommons         ra   r©   r©   í  s‚  € ô ˜ÔÜð(Ü(,¨U«×(<Ñ(<Ð'=¸Qð@ó
ð 	
ô ˜ÔÜð(Ü(,¨V«×(=Ñ(=Ð'>¸aðAó
ð 	
ô
 �fœx¬Ô4EÄrÇzÁzÐRÔSÜ˜6“lˆÜ" ;¸.ÔIˆô �‹K˜!ŠOØ—‘×!Ñ! WÑ,Ü+¨EÔ2Ü" 6¨5Ô1ô =¸[ÓI‰Fä	�FœMÔ	*ä—‘˜&Ó!‰ä˜v°TÈÔNˆä# E°VÔ<€KÜ ¸4Ô@€KÜ�k¤2§:¡:Ô.à×Ñ Ó'Ð'ä	˜[×.Ñ.Ô	/ä˜Ó$×)Ñ)¨&Ó1Ð1Ü	˜VŸ\™\Ô	*´?À;×CTÑCTÔ3Uä�x‰x˜×)Ñ)´Ô6Ð6ä	˜VŸ\™\Ô	*Ü�K §¡¬vÓ!6Ó7Ð7ä	�F—L‘L¤.Ô	1Ü”B—J‘J˜{Ó+¬R¯Z©Z¸Ó-?Ó@Ð@ô 	ˆKÓÔ0Ò0Ü�‹K˜2ÒØ×Ñ¤Ò'ÜÑ,¡VÓ,Ô,ô �‹<×ÑÔóIñ 3‰Aô % V§\¡\°;×3DÑ3DÓEˆØ—‘˜v¨E�Ó2ˆØ!×(Ñ(¨°eÐ(Ó<ˆÜ�O‰Oˆáˆ[˜&Ó!Ð!rb   c                ó  — | }| j                   j                  dv rt        }t        | «      \  }}  ||xs t	        | «      «      }|j                  | d|||¬«      \  }}	t        ||j                   |«      }t        |	«      }	|	|fS )a(  
    Factorize a numpy array to codes and uniques.

    This doesn't do any coercion of types or unboxing before factorization.

    Parameters
    ----------
    values : ndarray
    use_na_sentinel : bool, default True
        If True, the sentinel -1 will be used for NaN values. If False,
        NaN values will be encoded as non-negative integers and will not drop the
        NaN from the uniques of the values.
    size_hint : int, optional
        Passed through to the hashtable's 'get_labels' method
    na_value : object, optional
        A value in `values` to consider missing. Note: only use this
        parameter when you know that you don't have any values pandas would
        consider missing in the array (NaN for float data, iNaT for
        datetimes, etc.).
    mask : ndarray[bool], optional
        If not None, the mask is used as indicator for missing values
        (True = missing, False = valid) instead of `na_value` or
        condition "val != val".

    Returns
    -------
    codes : ndarray[np.intp]
    uniques : ndarray
    ÚmMéÿÿÿÿ)Úna_sentinelÚna_valuer¡   Ú	ignore_na)rR   r¸   r   r‰   r˜   Ú	factorizerh   r   )
r_   Úuse_na_sentinelÚ	size_hintrÈ   r¡   rf   Ú
hash_klassr£   r¤   rY   s
             ra   Úfactorize_arrayrÎ   N  s“   € ðH €HØ‡|�|×Ñ˜DÑ ô
 ˆä,¨VÓ4Ñ€J�á�yÒ/¤C¨£KÓ0€EØ—_‘_ØØØØØ!ð %ó �N€GˆUô   ¨¯©¸ÓB€Gä Ó&€EØ�'ˆ>Ðrb   c                óÌ  — t        | t        t        f«      r| j                  ||¬«      S t	        | d¬«      } | }t        | t
        t        f«      r%| j                  �| j                  |¬«      \  }}||fS t        | t        j                  «      s| j                  |¬«      \  }}n„t        j                  | «      } |s\| j                  t        k(  rIt        | «      }|j                  «       r.t        | j                  d¬«      }t        j                   ||| «      } t#        | ||¬«      \  }}|r!t%        |«      d	kD  rt'        |||d
d¬«      \  }}t)        ||j                  |«      }||fS )a1  
    Encode the object as an enumerated type or categorical variable.

    This method is useful for obtaining a numeric representation of an
    array when all that matters is identifying distinct values. `factorize`
    is available as both a top-level function :func:`pandas.factorize`,
    and as a method :meth:`Series.factorize` and :meth:`Index.factorize`.

    Parameters
    ----------
    values : sequence
        A 1-D sequence. Sequences that aren't pandas objects are
        coerced to ndarrays before factorization.
    sort : bool, default False
        Sort `uniques` and shuffle `codes` to maintain the
        relationship.
    use_na_sentinel : bool, default True
        If True, the sentinel -1 will be used for NaN values. If False,
        NaN values will be encoded as non-negative integers and will not drop the
        NaN from the uniques of the values.
    size_hint : int, optional
        Hint to the hashtable sizer.

    Returns
    -------
    codes : ndarray
        An integer ndarray that's an indexer into `uniques`.
        ``uniques.take(codes)`` will have the same values as `values`.
    uniques : ndarray, Index, or Categorical
        The unique valid values. When `values` is Categorical, `uniques`
        is a Categorical. When `values` is some other pandas object, an
        `Index` is returned. Otherwise, a 1-D ndarray is returned.

        .. note::

           Even if there's a missing value in `values`, `uniques` will
           *not* contain an entry for it.

    See Also
    --------
    cut : Discretize continuous-valued array.
    unique : Find the unique value in an array.

    Notes
    -----
    Reference :ref:`the user guide <reshaping.factorize>` for more examples.

    Examples
    --------
    These examples all show factorize as a top-level method like
    ``pd.factorize(values)``. The results are identical for methods like
    :meth:`Series.factorize`.

    >>> codes, uniques = pd.factorize(np.array(["b", "b", "a", "c", "b"], dtype="O"))
    >>> codes
    array([0, 0, 1, 2, 0])
    >>> uniques
    array(['b', 'a', 'c'], dtype=object)

    With ``sort=True``, the `uniques` will be sorted, and `codes` will be
    shuffled so that the relationship is the maintained.

    >>> codes, uniques = pd.factorize(
    ...     np.array(["b", "b", "a", "c", "b"], dtype="O"), sort=True
    ... )
    >>> codes
    array([1, 1, 0, 2, 1])
    >>> uniques
    array(['a', 'b', 'c'], dtype=object)

    When ``use_na_sentinel=True`` (the default), missing values are indicated in
    the `codes` with the sentinel value ``-1`` and missing values are not
    included in `uniques`.

    >>> codes, uniques = pd.factorize(np.array(["b", None, "a", "c", "b"], dtype="O"))
    >>> codes
    array([ 0, -1,  1,  2,  0])
    >>> uniques
    array(['b', 'a', 'c'], dtype=object)

    Thus far, we've only factorized lists (which are internally coerced to
    NumPy arrays). When factorizing pandas objects, the type of `uniques`
    will differ. For Categoricals, a `Categorical` is returned.

    >>> cat = pd.Categorical(["a", "a", "c"], categories=["a", "b", "c"])
    >>> codes, uniques = pd.factorize(cat)
    >>> codes
    array([0, 0, 1])
    >>> uniques
    ['a', 'c']
    Categories (3, str): ['a', 'b', 'c']

    Notice that ``'b'`` is in ``uniques.categories``, despite not being
    present in ``cat.values``.

    For all other pandas objects, an Index of the appropriate type is
    returned.

    >>> cat = pd.Series(["a", "a", "c"])
    >>> codes, uniques = pd.factorize(cat)
    >>> codes
    array([0, 0, 1])
    >>> uniques
    Index(['a', 'c'], dtype='str')

    If NaN is in the values, and we want to include NaN in the uniques of the
    values, it can be achieved by setting ``use_na_sentinel=False``.

    >>> values = np.array([1, 2, 1, np.nan])
    >>> codes, uniques = pd.factorize(values)  # default: use_na_sentinel=True
    >>> codes
    array([ 0,  1,  0, -1])
    >>> uniques
    array([1., 2.])

    >>> codes, uniques = pd.factorize(values, use_na_sentinel=False)
    >>> codes
    array([0, 1, 0, 2])
    >>> uniques
    array([ 1.,  2., nan])
    )ÚsortrË   rÊ   rŸ   )rÐ   )rË   F)Úcompat)rË   rÌ   r   T)rË   Úassume_uniqueÚverify)rS   r1   r4   rÊ   ry   r/   r5   ÚfreqrT   rZ   rU   rR   r^   r6   r½   r7   ÚwhererÎ   r˜   Ú	safe_sortrh   )	r_   rÐ   rË   rÌ   rf   rY   r¤   Ú	null_maskrÈ   s	            ra   rÊ   rÊ   Œ  sV  € ôP �&œ8¤YÐ/Ô0Ø×Ñ T¸?ÐÓKÐKä˜v°Ô=€FØ€Hô 	�6Ô,Ô.?Ð@ÔAØ�K‰KÐ#ð  ×)Ñ)¨tÐ)Ó4‰ˆˆwØ�gˆ~Ðä˜¤§
¡
Ô+à×)Ñ)¸/Ð)ÓJ‰ˆ‰wô —‘˜FÓ#ˆá 6§<¡<´6Ò#9ô
 ˜V›ˆIØ�}‰}ŒÜ-¨f¯l©lÀ5ÔI�äŸ™ )¨X°vÓ>�ä(ØØ+Øô
‰ˆˆwñ ”�G“˜qÒ Ü"ØØØ+ØØô
‰ˆ�ô   ¨¯©¸ÓB€Gà�'ˆ>Ðrb   c                ól  — ddl m}m}m}m}	 t        | dd «      }
|rdnd}|�Ëddlm} t        | |«      r| j                  } 	  || |d¬«      }|j                  |¬
«      }||_        ||j                  j                  «          }|j                  j                  d«      |_        |j!                  «       }|r,|j                  dk(  j#                  «       r|j$                  dd }t'        |«      }�nwd }t)        | «      r> || d¬«      j                  j                  |¬
«      }||_        |
|j                  _        �n,t        | t*        «      rct-        t/        | j0                  «      «      } || |¬«      j3                  ||¬«      j5                  «       }| j6                  |j                  _        n¹t9        | d¬«      } t;        | |«      \  }}}|j<                  t>        j@                  k(  r|j                  t>        jB                  «      } |||j<                  |
d¬«      }|s<t        | ||	f«      r.|jE                  | «      r| jF                  �| jF                  |_$         ||||d¬«      }|r|jK                  |d¬«      }|r|�||z  }|S ||jM                  «       z  }|S # t        $ r}t        d	«      |‚d }~ww xY w)Nr   )ÚDatetimeIndexrA   rB   ÚTimedeltaIndexr‹   Ú
proportionÚcount)ÚcutT)Úinclude_lowestz+bins argument only works with numeric data.©ÚdropnaÚintervalFrK   )Úindexr‹   )Úlevelrà   Úvalue_countsrŸ   )rR   r‹   rL   )râ   r‹   rL   Ústable)Ú	ascendingr¸   )'r“   rÙ   rA   rB   rÚ   ÚgetattrÚpandas.core.reshape.tilerÝ   rS   Ú_valuesrq   rä   r‹   râ   Únotnar\   Ú
sort_indexÚallÚilocr˜   r!   r2   rv   ÚrangeÚnlevelsÚgroupbyÚsizeÚnamesry   Úvalue_counts_arraylikerR   rT   Úfloat16r}   ÚequalsÚinferred_freqrÔ   Úsort_valuesr›   )r_   rÐ   ræ   Ú	normalizeÚbinsrà   rÙ   rA   rB   rÚ   Ú
index_namer‹   rÝ   ÚiiÚerrrœ   Únormalize_denominatorÚlevelsÚkeysÚcountsÚ_Úidxs                         ra   Úvalue_counts_internalr  I  s…  € ÷ó ô ˜ ¨Ó.€JÙ$‰<¨'€DàÐÝ0ä�f˜fÔ%Ø—^‘^ˆFð	TÙ�V˜T°$Ô7ˆBð
 —‘¨�Ó/ˆØˆŒØ˜Ÿ™×*Ñ*Ó,Ñ-ˆØ—|‘|×*Ñ*¨:Ó6ˆŒØ×"Ñ"Ó$ˆñ �v—~‘~¨Ñ*×/Ñ/Ô1Ø—[‘[  1Ð%ˆFô !$ B£Òð !%ÐÜ# FÔ+á˜F¨Ô/×7Ñ7×DÑDÈFÐDÓSˆFØˆFŒKØ *ˆF�L‰LÖä˜¤Ô.äœ% §¡Ó/Ó0ˆFá˜V¨$Ô/ß‘˜v¨f�Ó5ß‘“ð ð
 "(§¡ˆF�L‰LÕô ' v¸ÔHˆFÜ4°V¸VÓD‰OˆD�&˜!Ø�z‰zœRŸZ™ZÒ'Ø—{‘{¤2§:¡:Ó.�ñ ˜ D§J¡J°ZÀeÔLˆCñ Ü˜v¨°~Ð'FÔGØ—J‘J˜vÔ&Ø×(Ñ(Ð4ð "×/Ñ/�”á˜F¨#°D¸uÔEˆFáØ×#Ñ#¨i¸hÐ#ÓGˆáØ Ð,ØÐ3Ñ3ˆFð €Mð ˜fŸj™j›lÑ*ˆFà€MøôC ò 	TÜÐIÓJÐPSÐSûð	Tús   ÁJ Ê	J3Ê"J.Ê.J3c                óà   — | }t        | «      } t        j                  | ||¬«      \  }}}t        |j                  «      r|r|t
        k7  }||   ||   }}t        ||j                  |«      }|||fS )zÓ
    Parameters
    ----------
    values : np.ndarray
    dropna : bool
    mask : np.ndarray[bool] or None, default None

    Returns
    -------
    uniques : np.ndarray
    counts : np.ndarray[np.int64]
    r    )rW   r¾   Úvalue_countr)   rR   r   rh   )r_   rà   r¡   rf   rÿ   r   Ú
na_counterÚres_keyss           ra   ró   ró   ¨  sx   € ð €HÜ˜&Ó!€Fä%×1Ñ1°&¸&ÀtÔLÑ€Dˆ&�*ä˜8Ÿ>™>Ô*ñ Øœ4‘<ˆDØ ™: v¨d¡|�&ˆDä   x§~¡~°xÓ@€HØ�V˜ZÐ'Ð'rb   c                óH   — t        | «      } t        j                  | ||¬«      S )ax  
    Return boolean ndarray denoting duplicate values.

    Parameters
    ----------
    values : np.ndarray or ExtensionArray
        Array over which to check for duplicate values.
    keep : {'first', 'last', False}, default 'first'
        - ``first`` : Mark duplicates as ``True`` except for the first
          occurrence.
        - ``last`` : Mark duplicates as ``True`` except for the last
          occurrence.
        - False : Mark all duplicates as ``True``.
    mask : ndarray[bool], optional
        array indicating which elements to exclude from checking

    Returns
    -------
    duplicated : ndarray[bool]
    )Úkeepr¡   )rW   r¾   Ú
duplicated)r_   r	  r¡   s      ra   r
  r
  Ç  s#   € ô2 ˜&Ó!€FÜ×Ñ˜V¨$°TÔ:Ð:rb   c                ó  — t        | d¬«      } | }t        | j                  «      r)t        | «      } t	        d| «      } | j                  |¬«      S t        | «      } t        j                  | ||¬«      \  }}|€0t        j                  |j                  t        j                  ¬«      }n||fS 	 t        |«      }t%        ||j                  |«      }||fS # t        $ r,}t        j                   d|› �t#        «       ¬	«       Y d}~ŒKd}~ww xY w)
a@  
    Returns the mode(s) of an array.

    Parameters
    ----------
    values : array-like
        Array over which to check for duplicate values.
    dropna : bool, default True
        Don't consider counts of NaN/NaT.

    Returns
    -------
    Union[Tuple[np.ndarray, npt.NDArray[np.bool_]], ExtensionArray]
    ÚmoderŸ   rD   rß   )rà   r¡   NrQ   zUnable to sort modes: )Ú
stacklevel)ry   r)   rR   r:   r   Ú_moderW   r¾   r  rT   rº   r»   Úbool_rÖ   rq   ÚwarningsÚwarnr   rh   )r_   rà   r¡   rf   ÚnpresultÚres_maskrü   rœ   s           ra   r  r  ä  sô   € ô" ˜v°Ô8€FØ€Hä˜6Ÿ<™<Ô(ä/°Ó7ˆÜÐ&¨Ó/ˆØ�|‰| 6ˆ|Ó*Ð*ä˜&Ó!€FäŸ™ V°FÀÔFÑ€HˆhØÐÜ—8‘8˜HŸN™N´"·(±(Ô;‰à˜Ð!Ð!ð
Ü˜XÓ&ˆô ˜x¨¯©¸ÓB€FØ�8ÐÐøô ò 
Ü�‰Ø$ S EÐ*Ü'Ó)÷	
ò 	
ûð
ús   Â+C Ã	DÃ"DÄDc           	     ó  — t        | j                  «      }t        | «      } | j                  dk(  rt	        j
                  | ||||||¬«      }|S | j                  dk(  r"|�J ‚t	        j                  | ||||||¬«      }|S t        d«      ‚)ab  
    Rank the values along a given axis.

    Parameters
    ----------
    values : np.ndarray or ExtensionArray
        Array whose values will be ranked. The number of dimensions in this
        array must not exceed 2.
    axis : int, default 0
        Axis over which to perform rankings.
    method : {'average', 'min', 'max', 'first', 'dense'}, default 'average'
        The method by which tiebreaks are broken during the ranking.
    na_option : {'keep', 'top'}, default 'keep'
        The method by which NaNs are placed in the ranking.
        - ``keep``: rank each NaN value with a NaN ranking
        - ``top``: replace each NaN with either +/- inf so that they
                   there are ranked at the top
    ascending : bool, default True
        Whether or not the elements should be ranked in ascending order.
    pct : bool, default False
        Whether or not to the display the returned rankings in integer form
        (e.g. 1, 2, 3) or in percentile form (e.g. 0.333..., 0.666..., 1).
    mask : bool ndarray, optional
        Boolean array indicating which elements to exclude from ranking.
    é   )Úis_datetimelikeÚties_methodræ   Ú	na_optionÚpctr¡   rM   )Úaxisr  r  ræ   r  r  z&Array with ndim > 2 are not supported.)r)   rR   rW   Úndimr	   Úrank_1dÚrank_2drq   )	r_   r  Úmethodr  ræ   r  r¡   r  Úrankss	            ra   Úrankr     s£   € ôD *¨&¯,©,Ó7€OÜ˜&Ó!€Fà‡{�{�aÒÜ—‘ØØ+ØØØØØô
ˆð. €Lð 
�‰˜Ò	Øˆ|Ðˆ|Ü—‘ØØØ+ØØØØô
ˆð €Lô Ð@ÓAÐArb   zpandas.api.extensionsc                ó>  — t        | t        j                  t        t        t
        t        f«      s"t        dt        | «      j                  › d�«      ‚t        |«      }|r+t        || j                  |   «       t        | ||d|¬«      }|S | j                  ||¬«      }|S )a§  
    Take elements from an array.

    Parameters
    ----------
    arr : numpy.ndarray, ExtensionArray, Index, or Series
        Input array.
    indices : sequence of int or one-dimensional np.ndarray of int
        Indices to be taken.
    axis : int, default 0
        The axis over which to select values.
    allow_fill : bool, default False
        How to handle negative values in `indices`.

        * False: negative values in `indices` indicate positional indices
          from the right (the default). This is similar to :func:`numpy.take`.

        * True: negative values in `indices` indicate
          missing values. These values are set to `fill_value`. Any other
          negative values raise a ``ValueError``.

    fill_value : any, optional
        Fill value to use for NA-indices when `allow_fill` is True.
        This may be ``None``, in which case the default NA value for
        the type (``self.dtype.na_value``) is used.

        For multi-dimensional `arr`, each *element* is filled with
        `fill_value`.

    Returns
    -------
    ndarray or ExtensionArray
        Same type as the input.

    Raises
    ------
    IndexError
        When `indices` is out of bounds for the array.
    ValueError
        When the indexer contains negative values other than ``-1``
        and `allow_fill` is True.

    Notes
    -----
    When `allow_fill` is False, `indices` may be whatever dimensionality
    is accepted by NumPy for `arr`.

    When `allow_fill` is True, `indices` should be 1-D.

    See Also
    --------
    numpy.take : Take elements from an array along an axis.

    Examples
    --------
    >>> import pandas as pd

    With the default ``allow_fill=False``, negative numbers indicate
    positional indices from the right.

    >>> pd.api.extensions.take(np.array([10, 20, 30]), [0, 0, -1])
    array([10, 10, 30])

    Setting ``allow_fill=True`` will place `fill_value` in those positions.

    >>> pd.api.extensions.take(np.array([10, 20, 30]), [0, 0, -1], allow_fill=True)
    array([10., 10., nan])

    >>> pd.api.extensions.take(
    ...     np.array([10, 20, 30]), [0, 0, -1], allow_fill=True, fill_value=-10
    ... )
    array([ 10,  10, -10])
    zkpd.api.extensions.take requires a numpy.ndarray, ExtensionArray, Index, Series, or NumpyExtensionArray got rk   T)r  Ú
allow_fillÚ
fill_value)r  )rS   rT   rZ   r0   r1   r4   r3   rq   rr   rs   r   r<   r»   r8   Útake)ÚarrÚindicesr  r"  r#  rœ   s         ra   r$  r$  W  s¬   € ôb ØÜ	�‰Ô&¬´)Ô=SÐTôô
 ð9Ü9=¸c»×9KÑ9KÐ8LÈAðOó
ð 	
ô
 " 'Ó*€Gáä˜ #§)¡)¨D¡/Ô2ô ØØØØØ!ô
ˆð €Mð —‘˜'¨�Ó-ˆØ€Mrb   c                óà  — |�t        |«      }t        | t        j                  «      �r(| j                  j
                  dv �rt        |«      st        |«      rùt        j                  | j                  j                  «      }t        |«      rt        j                  |g«      nt        j                  |«      }||j                  k\  j                  «       r*||j                  k  j                  «       r| j                  }n|j                  }t        |«      r t        t        |j                  |«      «      }n't!        t        t"        |«      |¬«      }nt%        | «      } | j'                  |||¬«      S )aû  
    Find indices where elements should be inserted to maintain order.

    Find the indices into a sorted array `arr` (a) such that, if the
    corresponding elements in `value` were inserted before the indices,
    the order of `arr` would be preserved.

    Assuming that `arr` is sorted:

    ======  ================================
    `side`  returned index `i` satisfies
    ======  ================================
    left    ``arr[i-1] < value <= self[i]``
    right   ``arr[i-1] <= value < self[i]``
    ======  ================================

    Parameters
    ----------
    arr: np.ndarray, ExtensionArray, Series
        Input array. If `sorter` is None, then it must be sorted in
        ascending order, otherwise `sorter` must be an array of indices
        that sort it.
    value : array-like or scalar
        Values to insert into `arr`.
    side : {'left', 'right'}, optional
        If 'left', the index of the first suitable location found is given.
        If 'right', return the last such index.  If there is no suitable
        index, return either 0 or N (where N is the length of `self`).
    sorter : 1-D array-like, optional
        Optional array of integer indices that sort array a into ascending
        order. They are typically the result of argsort.

    Returns
    -------
    array of ints or int
        If value is array-like, array of insertion points.
        If value is scalar, a single integer.

    See Also
    --------
    numpy.searchsorted : Similar method from NumPy.
    ÚiurQ   )ÚsideÚsorter)r   rS   rT   rZ   rR   r¸   r$   r%   Úiinforr   r9   Úminrì   Úmaxr   Úintr¹   r   r:   Úsearchsorted)r%  Úvaluer)  r*  r+  Ú	value_arrrR   s          ra   r/  r/  Í  s  € ð` ÐÜ$ VÓ,ˆô 	�3œŸ
™
Õ#Ø�I‰I�N‰N˜dÒ"Ü˜ÔÔ"2°5Ô"9ô —‘˜Ÿ™Ÿ™Ó(ˆÜ)3°EÔ):”B—H‘H˜e˜WÔ%ÄÇÁÈÃˆ	Ø˜Ÿ™Ñ"×'Ñ'Ô)¨y¸E¿I¹IÑ/E×.JÑ.JÔ.Lð —I‘I‰Eà—O‘OˆEä�eÔäœ˜eŸj™j¨Ó/Ó0‰EäœT¤)¨UÓ3¸5ÔA‰Eô -¨SÓ1ˆð ×Ñ˜E¨°VÐÓ<Ð<rb   >   r„   rƒ   r‚   r�   r}   r|   c                óä  — t        j                  |«      s1t        |«      r|j                  «       st        d«      ‚t	        |«      }t
        j                  }| j                  }t        |«      }|rt        j                  }nt        j                  }t        |t        «      r| j                  «       } | j                  }t        | t
        j                  «      s|t!        | d|j"                  › d�«      rA|dk7  r$t        dt%        | «      j"                  › d|› �«      ‚ || | j'                  |«      «      S t)        t%        | «      j"                  › d�«      ‚d}| j                  j*                  dv r*t
        j,                  }| j/                  d	«      } t0        }d
}nZ|rt
        j2                  }nG|j*                  dv r9| j                  j4                  dv rt
        j6                  }nt
        j8                  }| j:                  }|dk(  r| j=                  dd«      } t        j                  |«      }t        j>                  | j@                  |¬«      }	tC        d«      gdz  }
|dk\  rtC        d|«      ntC        |d«      |
|<   ||	tE        |
«      <   | j                  j4                  tF        v r$tI        jJ                  | |	t	        |«      ||¬«       nˆtC        d«      gdz  }|dk\  rtC        |d«      ntC        d|«      ||<   tE        |«      }tC        d«      gdz  }|dkD  rtC        d| «      ntC        | d«      ||<   tE        |«      } || |   | |   «      |	|<   |r|	j/                  d«      }	|dk(  r	|	dd…df   }	|	S )aQ  
    difference of n between self,
    analogous to s-s.shift(n)

    Parameters
    ----------
    arr : ndarray or ExtensionArray
    n : int
        number of periods
    axis : {0, 1}
        axis to shift on
    stacklevel : int, default 3
        The stacklevel for the lost dtype warning.

    Returns
    -------
    shifted
    zperiods must be an integerÚ__r   zcannot diff z	 on axis=zK has no 'diff' method. Convert to a suitable dtype prior to calling 'diff'.FrÅ   rP   Tr(  )r„   rƒ   r  rÆ   rQ   NrM   )Údatetimelikeztimedelta64[ns])&r   r$   r"   Ú
ValueErrorr.  rT   ÚnanrR   r   ÚoperatorÚxorÚsubrS   r.   Úto_numpyrZ   Úhasattrrs   rr   Úshiftrq   r¸   r�   r[   r   Úobject_r‹   r}   r|   r  ÚreshapeÚemptyr»   Úsliceru   Ú_diff_specialr	   Údiff_2d)r%  Únr  ÚnarR   Úis_boolÚopÚis_timedeltaÚ	orig_ndimÚout_arrÚ
na_indexerÚ_res_indexerÚres_indexerÚ_lag_indexerÚlag_indexers                  ra   ÚdiffrO  (  sê  € ô, �>‰>˜!ÔÜ˜” §¡¤ÜÐ9Ó:Ð:Ü�‹FˆÜ	�‰€BØ�I‰I€Eä˜EÓ"€GÙÜ�\‰\‰ä�\‰\ˆä�%œÔ&à�l‰l‹nˆØ—	‘	ˆä�cœ2Ÿ:™:Ô&ä�3˜"˜RŸ[™[˜M¨Ð,Ô-Ø�qŠyÜ  <´°S³	×0BÑ0BÐ/CÀ9ÈTÈFÐ!SÓTÐTÙ�c˜3Ÿ9™9 Q›<Ó(Ð(äÜ˜“9×%Ñ%Ð&ð 'Gð Góð ð
 €LØ
‡y�y‡~�~˜ÑÜ—‘ˆØ�h‰h�t‹nˆÜˆØ‰á	ä—
‘
‰à	�‰�tÑ	ð
 �9‰9�>‰>Ð.Ñ.Ü—J‘J‰Eä—J‘JˆEà—‘€IØ�A‚~à�k‰k˜"˜aÓ ˆô �H‰H�U‹O€EÜ�h‰h�s—y‘y¨Ô.€Gä˜“+� Ñ"€JØ)*¨aª”u˜T 1”~´U¸1¸d³^€JˆtÑØ!#€GŒE�*ÓÑà
‡y�y‡~�~œÑ&ô 	�‰�c˜7¤C¨£F¨D¸|ÖLô ˜d›�} qÑ(ˆØ/0°AªvœU 1 dœ^¼5ÀÀq»>ˆ�TÑÜ˜LÓ)ˆä˜d›�} qÑ(ˆØ01°A²œU 4¨!¨œ_¼5À!ÀÀT»?ˆ�TÑÜ˜LÓ)ˆá! # kÑ"2°C¸Ñ4DÓEˆ�ÑáØ—,‘,Ð0Ó1ˆà�A‚~Øš!˜Q˜$‘-ˆØ€Nrb   c                ó¨  — t        | t        j                  t        t        f«      st        d«      ‚d}t        | j                  t        «      s&t        j                  | d¬«      dk(  rt        | «      }n"	 | j                  «       }| j                  |«      }|€|S t%        |«      st        d«      ‚t'        t        j(                  |«      «      }|s+t+        t-        | «      «      t+        | «      k(  st/        d«      ‚|€Jt1        | «      \  }}  |t+        | «      «      }|j3                  | «       t'        |j5                  |«      «      }|rD|j                  «       }	|r#|t+        | «       k  |t+        | «      k\  z  }
d	||
<   t7        |	|d	¬
«      }net        j8                  t+        |«      t:        ¬«      }|j=                  |t        j>                  t+        |«      «      «       |j                  |d¬«      }|t'        |«      fS # t
        t        j                  f$ r: | j                  rt        | d   t         «      rt#        | «      }nt        | «      }Y �Œ»w xY w)a  
    Sort ``values`` and reorder corresponding ``codes``.

    ``values`` should be unique if ``codes`` is not None.
    Safe for use with mixed types (int, str), orders ints before strs.

    Parameters
    ----------
    values : list-like
        Sequence; must be unique if ``codes`` is not None.
    codes : np.ndarray[intp] or None, default None
        Indices to ``values``. All out of bound indices are treated as
        "not found" and will be masked with ``-1``.
    use_na_sentinel : bool, default True
        If True, the sentinel -1 will be used for NaN values. If False,
        NaN values will be encoded as non-negative integers and will not drop the
        NaN from the uniques of the values.
    assume_unique : bool, default False
        When True, ``values`` are assumed to be unique, which can speed up
        the calculation. Ignored when ``codes`` is None.
    verify : bool, default True
        Check if codes are out of bound for the values and put out of bound
        codes equal to ``-1``. If ``verify=False``, it is assumed there
        are no out of bound codes. Ignored when ``codes`` is None.

    Returns
    -------
    ordered : AnyArrayLike
        Sorted ``values``
    new_codes : ndarray
        Reordered ``codes``; returned when ``codes`` is not None.

    Raises
    ------
    TypeError
        * If ``values`` is not list-like or if ``codes`` is neither None
        nor list-like
        * If ``values`` cannot be sorted
    ValueError
        * If ``codes`` is not None and ``values`` contain duplicates.
    zbOnly np.ndarray, ExtensionArray, and Index objects are allowed to be passed to safe_sort as valuesNFrl   rp   r   zMOnly list-like objects or None are allowed to be passed to safe_sort as codesz,values should be unique if codes is not NonerÆ   ©r#  rQ   Úwrap)r  ) rS   rT   rZ   r0   r1   rq   rR   r-   r   rt   Ú_sort_mixedÚargsortr$  ÚdecimalÚInvalidOperationrñ   ru   Ú_sort_tuplesr&   r   rU   r˜   r‘   r5  r‰   Úmap_locationsÚlookupr8   r?  r.  ÚputÚarange)r_   rY   rË   rÒ   rÓ   r*  ÚorderedrÍ   ÚtÚorder2r¡   Ú	new_codesÚreverse_indexers                ra   rÖ   rÖ   ž  s  € ô` �fœrŸz™zÔ+<¼hÐGÔHÜð/ó
ð 	
ð
 €Fô �v—|‘|¤^Ô4Ü�O‰O˜F¨5Ô1°_ÒDä˜fÓ%‰ð	.Ø—^‘^Ó%ˆFØ—k‘k &Ó)ˆGð €}Øˆä˜ÔÜð.ó
ð 	
ô  ¤§
¡
¨5Ó 1Ó2€Eá¤¤V¨F£^Ó!4¼¸F»Ò!CÜÐGÓHÐHà€~ô
 1°Ó8Ñˆ
�FÙ”s˜6“{Ó#ˆØ	�‰˜Ôô % Q§X¡X¨gÓ%6Ó7ˆáà—‘Ó!ˆÙØœS ›[˜LÑ(¨U´c¸&³kÑ-AÑBˆDØˆE�$‰KÜ˜F E°bÔ9‰	äŸ(™(¤3 v£;´cÔ:ˆØ×Ñ˜F¤B§I¡I¬c°&«kÓ$:Ô;ð $×(Ñ(¨°VÐ(Ó<ˆ	àÔ'¨	Ó2Ð2Ð2øôk œ7×3Ñ3Ð4ò 
	.ð �{Š{œz¨&°©)´UÔ;ô ' vÓ.‘ä% fÓ-�úð
	.ús   Á4!G> Ç>AIÉIc           	     óV  — t        j                  | D �cg c]  }t        |t        «      ‘Œ c}t        ¬«      }t        j                  | D �cg c]  }t        |«      ‘Œ c}t        ¬«      }| | z  }t        j                  | |   «      }t        j                  | |   «      }|j                  «       d   j                  |«      }|j                  «       d   j                  |«      }|j                  «       d   }	t        j                  |||	g«      }
| j                  |
«      S c c}w c c}w )z3order ints before strings before nulls in 1d arraysrQ   r   )
rT   r9   rS   Ústrr¢   r6   rT  Únonzeror$  Úconcatenate)r_   ÚxÚstr_posÚnull_posÚnum_posÚstr_argsortÚnum_argsortÚstr_locsÚnum_locsÚ	null_locsÚlocss              ra   rS  rS    sô   € ä�h‰h±FÓ;±F¨qœ
 1¤cÕ*°FÑ;Ä4ÔH€GÜ�x‰x©&Ó1©& Qœ˜a�¨&Ñ1¼Ô>€HØˆh˜(˜Ñ"€GÜ—*‘*˜V G™_Ó-€KÜ—*‘*˜V G™_Ó-€Kà�‰Ó  Ñ#×(Ñ(¨Ó5€HØ�‰Ó  Ñ#×(Ñ(¨Ó5€HØ× Ñ Ó" 1Ñ%€IÜ�>‰>˜8 X¨yÐ9Ó:€DØ�;‰;�tÓÐùò <ùÚ1s   ”D!ÁD&c                óP   — ddl m} ddlm}  || d«      \  }} ||d¬«      }| |   S )a  
    Convert array of tuples (1d) to array of arrays (2d).
    We need to keep the columns separately as they contain different types and
    nans (can't use `np.sort` as it may fail when str and nan are mixed in a
    column as types cannot be compared).
    r   )Ú	to_arrays)Úlexsort_indexerNT)Úorders)Ú"pandas.core.internals.constructionrp  Úpandas.core.sortingrq  )r_   rp  rq  Úarraysr  Úindexers         ra   rW  rW  '  s0   € õ =Ý3á˜& $Ó'�I€FˆAÙ˜f¨TÔ2€GØ�'‰?Ðrb   c                ó†  — ddl m} t        | d¬«      }t        |d¬«      }|j                  |d¬«      \  }}t	        j
                  |j                  |j                  «      } |||j                  dd¬«      }t        | t        «      r0t        |t        «      r | j                  |«      j                  «       }n[t        | t        «      r| j                  } t        |t        «      r|j                  }t        | |g«      }t        |«      }t        |«      }|j!                  |«      j                  }t	        j"                  ||«      S )aù  
    Extracts the union from lvals and rvals with respect to duplicates and nans in
    both arrays.

    Parameters
    ----------
    lvals: np.ndarray or ExtensionArray
        left values which is ordered in front.
    rvals: np.ndarray or ExtensionArray
        right values ordered after lvals.

    Returns
    -------
    np.ndarray or ExtensionArray
        Containing the unsorted union of both arrays.

    Notes
    -----
    Caller is responsible for ensuring lvals.dtype == rvals.dtype.
    r   ©rB   Frß   rQ  r.  )râ   rR   rL   )r“   rB   r  ÚalignrT   Úmaximumr_   râ   rS   r2   Úappendr‘   r1   ré   r*   r:   ÚreindexÚrepeat)	ÚlvalsÚrvalsrB   Úl_countÚr_countÚfinal_countÚunique_valsÚcombinedÚrepeatss	            ra   Úunion_with_duplicatesr†  6  sý   € õ. ä# E°%Ô8€GÜ# E°%Ô8€GØ—}‘} W¸�}Ó;Ñ€GˆWÜ—*‘*˜WŸ^™^¨W¯^©^Ó<€KÙ˜¨G¯M©MÀÈUÔS€KÜ�%œÔ'¬J°u¼mÔ,LØ—l‘l 5Ó)×0Ñ0Ó2‰ä�eœXÔ&Ø—M‘MˆEÜ�eœXÔ&Ø—M‘MˆEô ! %¨ Ó0ˆÜ˜XÓ&ˆÜ4°[ÓAˆØ×!Ñ! +Ó.×5Ñ5€GÜ�9‰9�[ 'Ó*Ð*rb   c                óZ  ‡	— ddl m} |dvrd|› d�}t        |«      ‚t        |«      r˜t	        |t
        «      rt        |d«      r|Š	ˆ	fd„}ntddl m} t        |«      dk(  r ||t        j                  ¬	«      }nGt	        |t
        «      r/ ||j                  «        ||j                  «       d
¬«      ¬«      }n ||«      }t	        |t        «      rU|dk(  r||j                  j                  «          }|j                  j!                  | «      }t#        |j$                  |«      }|S t        | «      s| j'                  «       S | j)                  t*        d
¬«      }|€t-        j.                  ||«      S t-        j0                  ||t3        |«      j5                  t        j6                  «      ¬«      S )a!  
    Map values using an input mapping or function.

    Parameters
    ----------
    mapper : function, dict, or Series
        Mapping correspondence.
    na_action : {None, 'ignore'}, default None
        If 'ignore', propagate NA values, without passing them to the
        mapping correspondence.

    Returns
    -------
    Union[ndarray, Index, ExtensionArray]
        The output of the mapping function applied to the array.
        If the function returns a tuple with more than one element
        a MultiIndex will be returned.
    r   )rA   )NÚignorez+na_action must either be 'ignore' or None, z was passedÚ__missing__c                ó|   •— ‰t        | t        «      r't        j                  | «      rt        j                     S |    S rŽ   )rS   ÚfloatrT   r±   r6  )re  Údict_with_defaults    €ra   r·   zmap_array.<locals>.<lambda>Š  s-   ø€ Ð0Ü$ Q¬Ô.´2·8±8¸A´;”—‘ò ØDEò rb   rx  rQ   F)Útupleize_cols)râ   rˆ  rK   r    )r“   rA   r5  r   rS   Údictr;  rB   r˜   rT   r|   r_   rÿ   r4   râ   rê   Úget_indexerr8   ré   rL   r\   r^   r   Ú	map_inferÚmap_infer_maskr6   r[   rJ   )
r%  ÚmapperÚ	na_actionrA   ÚmsgrB   rv  Ú
new_valuesr_   rŒ  s
            @ra   Ú	map_arrayr–  e  sh  ø€ õ. àÐ(Ñ(Ø;¸I¸;ÀkÐRˆÜ˜‹oÐô
 �FÔÜ�fœdÔ#¬°¸Ô(Fð !'Ðó‰Fõ &ä�6‹{˜aÒÙ ¬b¯j©jÔ9‘Ü˜F¤DÔ)ÙØ—M‘M“O©5°·±³ÈeÔ+Tô‘ñ   ›�ä�&œ)Ô$Ø˜Ò Ø˜FŸL™L×.Ñ.Ó0Ñ1ˆFð —,‘,×*Ñ*¨3Ó/ˆÜ˜VŸ^™^¨WÓ5ˆ
àÐäˆsŒ8Ø�x‰x‹zÐð �Z‰Zœ UˆZÓ+€FØÐÜ�}‰}˜V VÓ,Ð,ä×!Ñ! &¨&´t¸F³|×7HÑ7HÌÏÉÓ7RÔSÐSrb   )r_   r   Úreturnú
np.ndarray)r_   r   rR   r   rf   r   r—  r   )rw   rb  r—  r   )r_   r˜  r—  z)tuple[type[htable.HashTable], np.ndarray])r_   r˜  r—  rb  )r_   rE   r—  rE   )r_   znp.ndarray | Seriesr—  r˜  )r_   r   r—  r.  rŽ   )r¡   únpt.NDArray[np.bool_] | None)rÀ   r=   r_   r=   r—  únpt.NDArray[np.bool_])TNNN)r_   r˜  rË   r¢   rÌ   ú
int | NonerÈ   r^   r¡   r™  r—  z'tuple[npt.NDArray[np.intp], np.ndarray])FTN)rÐ   r¢   rË   r¢   rÌ   r›  r—  z%tuple[np.ndarray, np.ndarray | Index])TFFNT)
rÐ   r¢   ræ   r¢   rø   r¢   rà   r¢   r—  rB   )r_   r˜  rà   r¢   r¡   r™  r—  z,tuple[ArrayLike, npt.NDArray[np.int64], int])ÚfirstN)r_   r   r	  zLiteral['first', 'last', False]r¡   r™  r—  rš  )TN)r_   r   rà   r¢   r¡   r™  r—  z9tuple[np.ndarray, npt.NDArray[np.bool_]] | ExtensionArray)r   Úaverager	  TFN)r_   r   r  r   r  rb  r  rb  ræ   r¢   r  r¢   r¡   r™  r—  znpt.NDArray[np.float64])r   FN)r&  r   r  r   r"  r¢   )ÚleftN)
r%  r   r0  z$NumpyValueArrayLike | ExtensionArrayr)  zLiteral['left', 'right']r*  zNumpySorter | Noner—  znpt.NDArray[np.intp] | np.intp)r   )rC  z&int | float | np.integer | np.floatingr  r   )NTFT)r_   zIndex | ArrayLikerY   znpt.NDArray[np.intp] | NonerË   r¢   rÒ   r¢   rÓ   r¢   r—  z.AnyArrayLike | tuple[AnyArrayLike, np.ndarray])r—  r   )r_   r˜  r—  r˜  )r~  úArrayLike | Indexr  rŸ  r—  rŸ  )r%  r   r“  zLiteral['ignore'] | Noner—  z#np.ndarray | ExtensionArray | Index)†Ú__doc__Ú
__future__r   rU  r7  Útypingr   r   r   r   r   r  ÚnumpyrT   Úpandas._libsr	   r
   r¾   r   r   Úpandas._libs.missingr   Úpandas._typingr   r   r   r   r   r   r   Úpandas.util._decoratorsr   Úpandas.util._exceptionsr   Úpandas.core.dtypes.castr   r   Úpandas.core.dtypes.commonr   r   r   r   r   r   r    r!   r"   r#   r$   r%   r&   r'   r(   r)   Úpandas.core.dtypes.concatr*   Úpandas.core.dtypes.dtypesr+   r,   r-   r.   Úpandas.core.dtypes.genericr/   r0   r1   r2   r3   r4   r5   Úpandas.core.dtypes.missingr6   r7   Úpandas.core.array_algos.taker8   Úpandas.core.constructionr9   r¹   r:   r;   Úpandas.core.indexersr<   r=   r>   r?   r“   r@   rA   rB   Úpandas.core.arraysrC   rD   rE   rW   rh   ry   ÚComplex128HashTableÚComplex64HashTableÚFloat64HashTableÚFloat32HashTableÚUInt64HashTableÚUInt32HashTableÚUInt16HashTableÚUInt8HashTableÚInt64HashTableÚInt32HashTableÚInt16HashTableÚInt8HashTableÚStringHashTableÚPyObjectHashTabler‡   r‰   r†   r‘   r�   r•   Úunique1dr¼   r©   rÎ   rÊ   r  ró   r
  r  r   r$  r/  rA  rO  rÖ   rS  rW  r†  r–  r�   rb   ra   Ú<module>rÂ     s  ðñõ
 #ã Û ÷õ ó ã ÷ó õ $÷÷ ñ õ /Ý 4÷÷÷ ÷ ÷ ó õ$ 4÷ó ÷÷ ñ ÷õ
 1÷ñ õ
 2á÷ñ ÷ñ ÷
ñ
 	�˜5 ;Ñ.°Ñ?Ô@€AóK!ð\!,Øð!,Ø'ð!,Ø3?ð!,àó!,óHð: ×,Ñ,Ø×*Ñ*Ø×&Ñ&Ø×&Ñ&Ø×$Ñ$Ø×$Ñ$Ø×$Ñ$Ø×"Ñ"Ø×"Ñ"Ø×"Ñ"Ø×"Ñ"Ø× Ñ Ø×$Ñ$Ø×&Ñ&ñ€ð$Øðà.óó(ð6 
Ú ó 
Ø Ø	Ú :ó 
Ø :ñ ˆHÓñi$ó ði$óXô.,ð8 €ð "Ð ó^"ðF !Ø ØØ)-ð;Øð;àð;ð ð;ð ð	;ð
 'ð;ð -ó;ñ| ˆHÓð Ø Ø ð	yà
ðyð ðyð ð	yð
 +òyó ðyð| ØØØ	Øð[à
ð[ð ð[ð ð	[ð ð[ð ó[ð@ LPð(Øð(Ø $ð(Ø,Hð(à1ó(ðB -4Ø)-ð;Øð;à
)ð;ð 'ð;ð ó	;ð< RVð+Øð+Ø#ð+Ø2Nð+à>ó+ð` ØØØØØ)-ð=Øð=à
ð=ð ð=ð ð	=ð
 ð=ð 
ð=ð 'ð=ð ó=ñJ Ð#Ó$ð ØØðmàðmð ðmð ò	mó %ðmðp &,Ø!%ð	Q=Ø	ðQ=à/ðQ=ð #ðQ=ð ð	Q=ð
 $óQ=òp J€ôlðp *.Ø ØØðw3Øðw3à&ðw3ð ðw3ð ð	w3ð
 ðw3ð 4ów3ótóð,+Øð,+Ø%6ð,+àó,+ðd +/ðPTØ	ðPTð (ðPTð )ô	PTrb   