관리-도구
편집 파일: statistics.cpython-39.opt-2.pyc
a R�f�� � @ s� g d �Z ddlZddlZddlZddlmZ ddlmZ ddlm Z ddl m Z m Z ddlm Z mZmZmZmZmZmZmZ ddlmZ dd lmZ G d d � d e�ZdFd d �Zdd� Z dd� Z dd� Z dd� Z dd� Z dd� Z!dGdd �Z"d d � Z#d d � Z$d!d"� Z%d#d$� Z&d%d&� Z'd'd(� Z(d)d*� Z)dHd,d-�Z*d.d/� Z+d0d1� Z,d2d3d4�d5d6�Z-dId7d8�Z.dJd9d:�Z/dKd;d<�Z0dLd=d>�Z1dMd?d@�Z2dAdB� Z3zddCl4m3Z3 W n e5�y� Y n0 G dDdE� dE�Z6dS )N)� NormalDist�StatisticsError�fmean�geometric_mean� harmonic_mean�mean�median�median_grouped� median_high� median_low�mode� multimode�pstdev� pvariance� quantiles�stdev�variance� N��Fraction)�Decimal)�groupby)� bisect_left� bisect_right)�hypot�sqrt�fabs�exp�erf�tau�log�fsum)� itemgetter)�Counterc @ s e Zd ZdS )r N)�__name__� __module__� __qualname__� r& r& �//opt/alt/python39/lib64/python3.9/statistics.pyr u s r c C s� d}t |�\}}||i}|j}ttt|��}t| t�D ]@\}} t||�}tt | �D ]"\}}|d7 }||d�| ||< qRq6d |v r�|d } ntdd� t|� � �D ��} || |fS )Nr � c s s | ]\}}t ||�V qd S �Nr )�.0�d�nr& r& r' � <genexpr>� � z_sum.<locals>.<genexpr>) � _exact_ratio�get�_coerce�int�typer �map�sum�sorted�items) �data�start�countr, r+ ZpartialsZ partials_get�T�typ�values�totalr& r& r' �_sum{ s $ r? c C s, z | � � W S ty& t�| � Y S 0 d S r) )Z is_finite�AttributeError�mathZisfinite)�xr& r& r' � _isfinite� s rC c C s� | |u r | S |t u s |tu r | S | t u r,|S t|| �r:|S t| |�rH| S t| t �rV|S t|t �rd| S t| t�r|t|t�r||S t| t�r�t|t�r�| S d}t|| j|jf ��d S )Nz"don't know how to coerce %s and %s)r2 �bool� issubclassr �float� TypeErrorr# )r; �S�msgr& r& r' r1 � s r1 c C s� znt | �tu st | �tu r$| �� W S z| j| jfW W S tyj z| �� W Y W S tyd Y n0 Y n0 W n ttfy� | d f Y S 0 d}t |� t | �j ���d S )Nz0can't convert type '{}' to numerator/denominator) r3 rF r �as_integer_ratio� numerator� denominatorr@ � OverflowError� ValueErrorrG �formatr# )rB rI r& r& r' r/ � s r/ c C sn t | �|u r| S t|t�r(| jdkr(t}z || �W S tyh t|t�rb|| j�|| j� Y S � Y n0 d S )Nr( )r3 rE r2 rL rF rG r rK )�valuer; r& r& r' �_convert� s rQ c C s. t | |�}|t| �kr&| | |kr&|S t�d S r) )r �lenrN )�arB �ir& r& r' � _find_lteq s rU c C s> t | ||d�}|t| �d kr6| |d |kr6|d S t�d S )N)�lor( )r rR rN )rS �lrB rT r& r& r' � _find_rteq s rX �negative valuec c s$ | D ]}|dk rt |��|V qd S )Nr )r )r= �errmsgrB r& r& r' � _fail_neg s r[ c C sH t | �| u rt| �} t| �}|dk r,td��t| �\}}}t|| |�S )Nr( z%mean requires at least one data point)�iter�listrR r r? rQ )r8 r, r; r> r: r& r& r' r ' s r c sp z t | �� W n. ty: d� � fdd�}t|| ��}Y n 0 t| �}z |� W S tyj td�d �Y n0 d S )Nr c 3 s t | dd�D ]\� }|V q d S )Nr( )r9 )� enumerate)�iterablerB �r, r& r' r: O s zfmean.<locals>.countz&fmean requires at least one data point)rR rG r �ZeroDivisionErrorr )r8 r: r> r& r` r' r A s r c C s6 zt ttt| ���W S ty0 td�d �Y n0 d S )NzGgeometric mean requires a non-empty dataset containing positive numbers)r r r4 r rN r )r8 r& r& r' r \ s �r c C s� t | �| u rt| �} d}t| �}|dk r2td��n<|dkrn| d }t|tjtf�rf|dk rbt|��|S td��z"t dd� t | |�D ��\}}}W n t y� Y dS 0 t || |�S )Nz.harmonic mean does not support negative valuesr( z.harmonic_mean requires at least one data pointr zunsupported typec s s | ]}d | V qdS )r( Nr& �r* rB r& r& r' r- � r. z harmonic_mean.<locals>.<genexpr>) r\ r] rR r � isinstance�numbersZRealr rG r? r[ ra rQ )r8 rZ r, rB r; r> r: r& r& r' r o s$ " r c C s\ t | �} t| �}|dkr td��|d dkr8| |d S |d }| |d | | d S d S �Nr �no median for empty data� r( �r6 rR r )r8 r, rT r& r& r' r � s r c C sL t | �} t| �}|dkr td��|d dkr8| |d S | |d d S d S re rh �r8 r, r& r& r' r � s r c C s, t | �} t| �}|dkr td��| |d S )Nr rf rg rh ri r& r& r' r � s r r( c C s� t | �} t| �}|dkr"td��n|dkr2| d S | |d }||fD ] }t|ttf�rFtd| ��qFz||d }W n& ty� t|�t|�d }Y n0 t| |�}t | ||�}|}|| d } |||d | | S )Nr rf r( rg zexpected number but got %r) r6 rR r rc �str�bytesrG rF rU rX ) r8 Zintervalr, rB �obj�L�l1�l2Zcf�fr& r& r' r � s& r c C sB t t| ���d�}z|d d W S ty< td�d �Y n0 d S )Nr( r zno mode for empty data)r" r\ � most_common� IndexErrorr )r8 Zpairsr& r& r' r s r c C s@ t t| ���� }tt|td�d�dg f�\}}tttd�|��S )Nr( )�keyr )r" r\ rq �nextr r! r] r4 )r8 ZcountsZmaxcountZ mode_itemsr& r& r' r 4 s r � � exclusive)r, �methodc C sB |dk rt d��t| �} t| �}|dk r0t d��|dkr�|d }g }td|�D ]D}t|| |�\}}| | || | |d | | } |�| � qN|S |dk�r0|d }g }td|�D ]r}|| | }|dk r�dn||d kr�|d n|}|| || }| |d || | | | | } |�| � q�|S td|����d S )Nr( zn must be at least 1rg z"must have at least two data pointsZ inclusiverv zUnknown method: )r r6 rR �range�divmod�appendrN ) r8 r, rw Zld�m�resultrT �jZdeltaZ interpolatedr& r& r' r k s2 $ $$ r c s� � d ur,t � fdd�| D ��\}}}||fS t| �� t � fdd�| D ��\}}}t � fdd�| D ��\}}}||d t| � 8 }||fS )Nc 3 s | ]}|� d V qdS �rg Nr& rb ��cr& r' r- � r. z_ss.<locals>.<genexpr>c 3 s | ]}|� d V qdS r~ r& rb r r& r' r- � r. c 3 s | ]}|� V qd S r) r& rb r r& r' r- � r. rg )r? r rR )r8 r� r; r> r: �UZtotal2Zcount2r& r r' �_ss� s r� c C sL t | �| u rt| �} t| �}|dk r,td��t| |�\}}t||d |�S )Nrg z*variance requires at least two data pointsr( �r\ r] rR r r� rQ )r8 �xbarr, r; �ssr& r& r' r � s & r c C sH t | �| u rt| �} t| �}|dk r,td��t| |�\}}t|| |�S )Nr( z*pvariance requires at least one data pointr� )r8 �mur, r; r� r& r& r' r � s # r c C s6 t | |�}z |�� W S ty0 t�|� Y S 0 d S r) )r r r@ rA )r8 r� �varr& r& r' r s r c C s6 t | |�}z |�� W S ty0 t�|� Y S 0 d S r) )r r r@ rA )r8 r� r� r& r& r' r $ s r c C s | d }t |�dkr�d|| }d| d | d | d | d | d | d | d | }d | d | d | d | d | d | d | d }|| }||| S |dkr�| nd| }tt|� �}|dk�r^|d }d| d | d | d | d | d | d | d }d | d | d! | d" | d# | d$ | d% | d }n�|d }d&| d' | d( | d) | d* | d+ | d, | d- }d.| d/ | d0 | d1 | d2 | d3 | d4 | d }|| }|dk �r�| }||| S )5N� �?g333333�?g ��Q� �?g^�}o)��@g�E.k�R�@g ��U l�@g*u��>l�@g �N����@g�"]Ξ@gnC���`@gu� � @giK��~j�@gv��|E�@g��d�|1�@gfR��r��@g��u.2�@g���~y�@g�n8(E@� �?� g @g�������?g鬷�ZaI?gg�El�D�?g7\�����?g�uS�S�?g�=�. @gj%b�@g���Hw�@gjR�e�?g�9dh? >g('߿��A?g��~z �?g@�3��?gɅ3��?g3fR�x�?gI�F��l @g����t��>g*�Y��n�>gESB\T?g�N;A+�?g�UR1��?gE� F���?gP�n��@g&�>���@g����i�<g�@�F�>g�tcI,\�>g�ŝ���I?g*F2�v�?g�C4�?g��O�1�?)r r r )�pr� �sigma�q�rZnumZdenrB r& r& r' �_normal_dist_inv_cdf7 sd ��������������������������� �������������������������� �������������������������� r� )r� c @ s e Zd Zddd�Zd9dd�Zedd � �Zd d �d d �Zdd� Zdd� Z dd� Z d:dd�Z dd� Z dd� Z edd � �Zed d � �Zed d � �Zed!d"� �Zed#d$� �Zd%d&� Zd'd(� Zd)d*� Zd+d,� Zd-d.� Zd/d0� ZeZd1d2� ZeZ d3d4� Z d5d6� Z d7d8� Z d S );r z(Arithmetic mean of a normal distributionz+Standard deviation of a normal distribution)�_mu�_sigmar� r� c C s( |dk rt d��t|�| _t|�| _d S )Nr� zsigma must be non-negative)r rF r� r� )�selfr� r� r& r& r' �__init__� s zNormalDist.__init__c C s. t |ttf�st|�}t|�}| |t||��S r) )rc r] �tupler r )�clsr8 r� r& r& r' � from_samples� s zNormalDist.from_samplesN)�seedc sB |d u rt jn t �|�j� | j| j ��� ��fdd�t|�D �S )Nc s g | ]}� ����qS r& r& �r* rT ��gaussr� r� r& r' � <listcomp>� r. z&NormalDist.samples.<locals>.<listcomp>)�randomr� ZRandomr� r� rx )r� r, r� r& r� r' �samples� s zNormalDist.samplesc C s< | j d }|std��t|| j d d| �tt| � S )N� @z$pdf() not defined when sigma is zerog �)r� r r r� r r )r� rB r r& r& r' �pdf� s zNormalDist.pdfc C s2 | j std��ddt|| j | j td� � S )Nz$cdf() not defined when sigma is zeror� r� r� )r� r r r� r �r� rB r& r& r' �cdf� s zNormalDist.cdfc C s: |dks|dkrt d��| jdkr*t d��t|| j| j�S )Nr� r� z$p must be in the range 0.0 < p < 1.0z-cdf() not defined when sigma at or below zero)r r� r� r� )r� r� r& r& r' �inv_cdf� s zNormalDist.inv_cdfru c s � �fdd�t d� �D �S )Nc s g | ]}�� |� ��qS r& )r� r� �r, r� r& r' r� � r. z(NormalDist.quantiles.<locals>.<listcomp>r( )rx )r� r, r& r� r' r � s zNormalDist.quantilesc C s t |t�std��| | }}|j|jf|j|jfk r>|| }}|j|j }}|rT|s\td��|| }t|j|j �}|s�dt|d|j t d� � S |j| |j| }|j|j t |d |t || � � } || | } || | } dt|� | �|� | � �t|� | �|� | � � S )Nz$Expected another NormalDist instancez(overlap() not defined when sigma is zeror� r� ) rc r rG r� r� r r r r r r r� ) r� �other�X�YZX_varZY_varZdvZdmrS �b�x1�x2r& r& r' �overlap� s" ( zNormalDist.overlapc C s | j std��|| j | j S )Nz'zscore() not defined when sigma is zero)r� r r� r� r& r& r' �zscore� s zNormalDist.zscorec C s | j S r) �r� �r� r& r& r' r � s zNormalDist.meanc C s | j S r) r� r� r& r& r' r s zNormalDist.medianc C s | j S r) r� r� r& r& r' r s zNormalDist.modec C s | j S r) �r� r� r& r& r' r s zNormalDist.stdevc C s | j d S )Nr� r� r� r& r& r' r s zNormalDist.variancec C s8 t |t�r&t| j|j t| j|j��S t| j| | j�S r) �rc r r� r r� �r� r� r& r& r' �__add__ s zNormalDist.__add__c C s8 t |t�r&t| j|j t| j|j��S t| j| | j�S r) r� r� r& r& r' �__sub__' s zNormalDist.__sub__c C s t | j| | jt|� �S r) �r r� r� r r� r& r& r' �__mul__5 s zNormalDist.__mul__c C s t | j| | jt|� �S r) r� r� r& r& r' � __truediv__= s zNormalDist.__truediv__c C s t | j| j�S r) �r r� r� �r� r& r& r' �__pos__E s zNormalDist.__pos__c C s t | j | j�S r) r� r� r& r& r' �__neg__I s zNormalDist.__neg__c C s | | S r) r& r� r& r& r' �__rsub__O s zNormalDist.__rsub__c C s& t |t�stS | j|jko$| j|jkS r) )rc r �NotImplementedr� r� r� r& r& r' �__eq__U s zNormalDist.__eq__c C s t | j| jf�S r) )�hashr� r� r� r& r& r' �__hash__[ s zNormalDist.__hash__c C s t | �j� d| j�d| j�d�S )Nz(mu=z, sigma=�))r3 r# r� r� r� r& r& r' �__repr___ s zNormalDist.__repr__)r� r� )ru ) r# r$ r% � __slots__r� � classmethodr� r� r� r� r� r r� r� �propertyr r r r r r� r� r� r� r� r� �__radd__r� �__rmul__r� r� r� r& r& r& r' r � sF � " r )r )rY )r( )N)N)N)N)N)7�__all__rA rd r� Z fractionsr �decimalr � itertoolsr Zbisectr r r r r r r r r r �operatorr! � collectionsr" rN r r? rC r1 r/ rQ rU rX r[ r r r r r r r r r r r r� r r r r r� Z _statistics� ImportErrorr r& r& r& r' �<module>S sR ( : / 7 78 / , K