ó
    Eñiø  ã                   óŠ   • S SK r S SKrS SKJrJrJrJr  S SKJ	s  J
r  SSKJr  \" 5       \" S SS S9SSS	.S
 jj5       5       rg)é    N)Úarray_namespaceÚxp_capabilitiesÚ	xp_deviceÚ_length_nonmaskedé   )Ú_axis_nan_policy_factoryc                 ó   • U $ ©N© )Úxs    ÚS/home/mande/repo/quber/.venv/lib/python3.13/site-packages/scipy/stats/_variation.pyÚ<lambda>r      s   € ‰aó    c                 ó   • U 4$ r
   r   )r   Ú_s     r   r   r      s   € ¸A¹4r   )Ú	n_outputsÚresult_to_tupleF)Úkeepdimsc                ón  • [        U 5      nUR                  U 5      n Uc  UR                  U S5      n SnUR                  [        XS9U R                  [        U 5      S9n[        R                  " SSS9   [        R                  " 5          [        R                  " S5        UR                  XS9nUR                  XS9nXfU-
  -  S-  n	X‰-  U-  n
SSS5        SSS5        S	 n[        R                  " X6:H  WW4UW
S
9n
U
R                  S:X  a  U
S   $ U
$ ! , (       d  f       NK= f! , (       d  f       NT= f)aq  
Compute the coefficient of variation.

The coefficient of variation is the standard deviation divided by the
mean.  This function is equivalent to::

    np.std(x, axis=axis, ddof=ddof) / np.mean(x)

The default for ``ddof`` is 0, but many definitions of the coefficient
of variation use the square root of the unbiased sample variance
for the sample standard deviation, which corresponds to ``ddof=1``.

The function does not take the absolute value of the mean of the data,
so the return value is negative if the mean is negative.

Parameters
----------
a : array_like
    Input array.
axis : int or None, optional
    Axis along which to calculate the coefficient of variation.
    Default is 0. If None, compute over the whole array `a`.
nan_policy : {'propagate', 'raise', 'omit'}, optional
    Defines how to handle when input contains ``nan``.
    The following options are available:

      * 'propagate': return ``nan``
      * 'raise': raise an exception
      * 'omit': perform the calculation with ``nan`` values omitted

    The default is 'propagate'.
ddof : int, optional
    Gives the "Delta Degrees Of Freedom" used when computing the
    standard deviation.  The divisor used in the calculation of the
    standard deviation is ``N - ddof``, where ``N`` is the number of
    elements.  `ddof` must be less than ``N``; if it isn't, the result
    will be ``nan`` or ``inf``, depending on ``N`` and the values in
    the array.  By default `ddof` is zero for backwards compatibility,
    but it is recommended to use ``ddof=1`` to ensure that the sample
    standard deviation is computed as the square root of the unbiased
    sample variance.

Returns
-------
variation : ndarray
    The calculated variation along the requested axis.

Notes
-----
There are several edge cases that are handled without generating a
warning:

* If both the mean and the standard deviation are zero, ``nan``
  is returned.
* If the mean is zero and the standard deviation is nonzero, ``inf``
  is returned.
* If the input has length zero (either because the array has zero
  length, or all the input values are ``nan`` and ``nan_policy`` is
  ``'omit'``), ``nan`` is returned.
* If the input contains ``inf``, ``nan`` is returned.

References
----------
.. [1] Zwillinger, D. and Kokoska, S. (2000). CRC Standard
   Probability and Statistics Tables and Formulae. Chapman & Hall: New
   York. 2000.

Examples
--------
>>> import numpy as np
>>> from scipy.stats import variation
>>> variation([1, 2, 3, 4, 5], ddof=1)
0.5270462766947299

Compute the variation along a given dimension of an array that contains
a few ``nan`` values:

>>> x = np.array([[  10.0, np.nan, 11.0, 19.0, 23.0, 29.0, 98.0],
...               [  29.0,   30.0, 32.0, 33.0, 35.0, 56.0, 57.0],
...               [np.nan, np.nan, 12.0, 13.0, 16.0, 16.0, 17.0]])
>>> variation(x, axis=1, ddof=1, nan_policy='omit')
array([1.05109361, 0.31428986, 0.146483  ])

N)éÿÿÿÿr   )Úaxis©ÚdtypeÚdeviceÚignore)ÚdivideÚinvalidg      à?c                 óÒ   • [        X5      nUR                  UR                  UR                  [	        U5      S9nUR                  U S:„  UR                  X15      UR                  5      $ )Nr   r   )r   ÚasarrayÚinfr   r   ÚwhereÚcopysignÚnan)Ústd_aÚmean_aÚmxpÚ_xp_infs       r   Úspecial_caseÚvariation.<locals>.special_casey   sS   € ä˜eÓ,ˆð —+‘+˜cŸg™g¨V¯\©\Ä)ÈFÓBS�+ÐTˆØ�y‰y˜ ™ C§L¡L°Ó$AÀ3Ç7Á7ÓKÐKr   )Ú
fill_valuer   )r   r   Úreshaper   r   r   ÚnpÚerrstateÚwarningsÚcatch_warningsÚsimplefilterÚmeanÚstdÚxpxÚapply_whereÚndim)Úar   Ú
nan_policyÚddofr   ÚxpÚnr%   r$   Ú
correctionÚresultr(   s               r   Ú	variationr=      s  € ôr 
˜Ó	€BØ
�
‰
�1‹€Að �|Ø�J‰J�q˜%Ó ˆØˆà
�
‰
Ô$ QÑ2¸!¿'¹'Ì)ÐTUË,ˆ
ÐW€Aä
�+Š+˜X¨xÓ
8¼(×:QÒ:QÕ:SÜ×Ò˜hÔ'Ø—‘˜�Ð&ˆØ—‘�q�Ð$ˆØ˜t™8‘n sÑ*ˆ
ØÑ# fÑ,ˆ÷ ;T×
8òLô �_Š_˜d™i¨5°&¨/Ø)°fñ>€Fð  Ÿ™¨Ó)ˆ6�"‰:Ð5¨vÐ5÷% ;TÕ:Sú×
8Õ
8ús%   Á4D&Â
ADÃD&Ä
D#	ÄD&Ä&
D4)r   Ú	propagater   )r.   Únumpyr,   Úscipy._lib._array_apir   r   r   r   Úscipy._lib.array_api_extraÚ_libÚarray_api_extrar3   Ú_axis_nan_policyr   r=   r   r   r   Ú<module>rE      sV   ðÛ Û ÷ó ÷ )Ð (å 6ñ ÓÙÙ˜1Ñ.?ñðq6ÀUõ q6óó ñq6r   