o
    Ÿ&?e  ã                   @   s\   d dl Z d dlZd dlmZ d dlmZ dd„ Zdd„ Zdd	„ Z	d
d„ Z
dd„ Zdd„ ZdS )é    N)Úspecial)Úprimes_from_2_toc                 C   s   t t | ¡ƒS ©N)r   ÚmathÚceil)Ún© r   ú\/home/www/facesmatcher.com/pyenv/lib/python3.10/site-packages/scipy/stats/tests/data/_mvt.pyÚ_primes   s   r
   c                 C   s   t  || ¡S r   )r   Zgammaincinv)ÚaÚbr   r   r	   Ú_gaminv   s   r   c                  C   sR  t dt |¡ƒ}t||| || ƒ\}}}	t|ƒ}
d}t | | ¡}t |¡}d}d}t td|
 t 	|
d ¡ d ƒ¡}|dd…tj
f }d}d}t|ƒD ]Ñ}| ¡ }t |
|f¡}t|
ƒD ]¢}t dt || t d|d ¡ | ¡  d¡ d ¡}|dkr“|}|dkr’t dt||d ƒ ¡}nt|||  ƒ}||d…  ||d…|d |…f | 7  < ||dd…f }| ¡ }|| | | }| ¡ }|	| | | }d||dk< t|ƒd	k }t|| ƒ||< d||dk< t|ƒd	k }t|| ƒ||< || }|| }q_t |¡| |d  }|| }|d | |d  |d  }qNt |¡}||fS )
a  Estimates the multivariate t CDF using randomized QMC

    Parameters
    ----------
    m : int
        The number of points
    nu : float
        Degrees of freedom
    sigma : ndarray
        A 2D positive semidefinite covariance matrix
    a : ndarray
        Lower integration limits
    b : ndarray
        Upper integration limits.
    rng : Generator
        Pseudorandom number generator

    Returns
    -------
    p : float
        The estimated CDF.
    e : float
        An absolute error estimate.

    é   é
   r   é   é   Né   i÷ÿÿÿé	   )Úmaxr   ÚsqrtÚ_chlrpsÚlenr   ÚnpZonesr
   ÚlogZnewaxisÚrangeÚcopyÚzerosÚabsÚmodZarangeÚrandomr   Ú_PhinvÚ_PhiÚmean) ÚmÚnuÚsigmar   r   ÚrngZsnÚchÚazZbzr   ÚNÚPÚonÚpÚeZpsÚqÚcZdcÚSZvpÚsÚiÚxÚrÚyÚsiÚaiÚdÚbiÚtlr   r   r	   Ú_qsimvtv   s,   *H,66€,@((<
r;   c                 C   ó
   t  | ¡S r   )r   Zndtr)Úzr   r   r	   r!   w   ó   
r!   c                 C   r<   r   )r   Zndtri)r,   r   r   r	   r    {   r>   r    c                 C   sp  d}t  | j¡j}t| ƒ}|  ¡ }| ¡ }| ¡ }t  t  t  |¡d¡¡}	t	|ƒD ]8}
|	|
 dkra|dd…|
f  |	|
   < ||
dd…f  |	|
   < ||
  |	|
   < ||
  |	|
   < q)t  
|df¡}t dtj ¡}t	|ƒD ]¼}|}d}d}d}t	||ƒD ]N}
||
|
f |krÓt t||
|
f dƒ¡}|
dkr­||
d|…f |d|…  }||
 | | }||
 | | }t|ƒt|ƒ }||krÓ|}|}|}|}|
}q…||kri|||g |||g< |||g |||g< |||f |||f< ||d|…f  ¡ }||d|…f ||d|…f< |||d|…f< ||d d…|f  ¡ }||d d…|f ||d d…|f< |||d d…|f< ||d |…|f  ¡ }|||d |…f j||d |…|f< |j|||d |…f< |||d  kr||||f< d|||d d…f< t	|d |ƒD ]8}
||
|f | ||
|f< ||
|d |
d …f ||
|f ||d |
d …|f j  ||
|d |
d …f< q‰t|ƒ|krät  |d  d ¡t  |d  d ¡ ||  ||< n|| d ||< |dk rö|||< n	|dkrÿ|||< ||d|d …f  |  < ||  |  < ||  |  < nd||d…|f< || ||  d ||< qu|||fS )z
    Computes permuted and scaled lower Cholesky factor c for R which may be
    singular, also permuting and scaling integration limit vectors a and b.
    g»½×Ùß|Û=r   Nr   r   iöÿÿÿr   )r   ZfinfoZdtypeÚepsr   r   r   ÚmaximumZdiagr   r   r   Úpir   r!   ÚTr   Úexp)ÚRr   r   Úepr?   r   r/   ZapÚbpr8   r2   r5   ZsqtpÚkZimZckkZdemr1   Zciir7   r9   ÚdeÚamZbmÚtr   r   r	   r      sN   88(€$0€
<@PT n6


>(
r   )r   Únumpyr   Zscipyr   Zscipy.stats._qmcr   r
   r   r;   r!   r    r   r   r   r   r	   Ú<module>   s   c