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To remove the range limitation, add a getrandbits() method.)r r' � bit_length�_warn) r. ra r9 �maxsize�type�Method� BuiltinMethodr r' �k�r�rem�limitr0 r0 r1 rX � s" $ zRandom._randbelowc C sB y | j t | � � } Wn t k r9 t d � � Yn X| | S)Nz$Cannot choose from an empty sequence)rX rB rQ � IndexError)r. �seq�ir0 r0 r1 r s z Random.choicec C s� | d k rk | j } x� t t d t | � � � D]3 } | | d � } | | | | | | <| | <q1 Wn` t } xW t t d t | � � � D]: } | | � | d � } | | | | | | <| | <q� Wd S)Nr5 )rX �reversed�rangerB r9 )r. r/ r � randbelowro �jr\ r0 r0 r1 r s "$"zRandom.shufflec C s� t | t � r t | � } t | t � s6 t d � � | j } t | � } d | k ob | k n ss t d � � d g | } d } | d k r� | d t t | d d � � 7} | | k rt | � } x� t | � D]: } | | | � } | | | | <| | | d | | <q� Wnl t � } | j } xW t | � D]I } | | � } x | | k rh| | � } qMW| | � | | | | <q8W| S) Nz>Population must be a sequence or set. For dicts, use list(d).r z Sample larger than population� � r) r, r5 )r> �_SetrP � _SequencerR rX rB rQ �_ceil�_log�listrq �set�add) r. � populationri rr ra �result�setsize�poolro rs �selected� selected_addr0 r0 r1 r ! s6 ! z Random.samplec C s | | | | j � S)N)r )r. rH rb r0 r0 r1 r _ s zRandom.uniformg g �?c C s� | j � } y( | d k r! d n | | | | } Wn t k rL | SYn X| | k rz d | } d | } | | } } | | | | | d S)Ng �?g �?)r �ZeroDivisionError)r. �low�high�mode�urJ r0 r0 r1 r e s ( zRandom.triangularc C sf | j } xN | � } d | � } t | d | } | | d } | t | � k r Pq W| | | S)Ng �?g �?g @)r � NV_MAGICCONSTry )r. �mu�sigmar �u1�u2�z�zzr0 r0 r1 r { s zRandom.normalvariatec C s t | j | | � � S)N)�_expr )r. r� r� r0 r0 r1 r � s zRandom.lognormvariatec C s t d | j � � | S)Ng �?)ry r )r. �lambdr0 r0 r1 r � s zRandom.expovariatec C s | j } | d k r t | � Sd | } | t d | | � } xc | � } t t | � } | | | } | � } | d | | k s� | d | t | � k rE PqE Wd | } | | d | | } | � } | d k r� | t | � t } n | t | � t } | S)Ng���ư>g �?g �?)r �TWOPI�_sqrt�_cos�_pir� �_acos)r. r� �kappar �srj r� r� �dr� �q�f�u3�thetar0 r0 r1 r � s& . zRandom.vonmisesvariatec C s | d k s | d k r$ t d � � | j } | d k rt d | d � } | t } | | } x�| � } d | k o� d k n s� qd d | � } t | d | � | } | t | � } | | | } | | | | } | t d | d k s | t | � k rd | | Sqd Wn� | d k rZ| � } x | d k rJ| � } q2Wt | � | Sx� | � } t | t } | | } | d k r�| d | } n t | | | � } | � } | d k r�| | | d k r�Pq]| t | � k r]Pq]W| | Sd S)Ng z*gammavariate: alpha and beta must be > 0.0g �?g @gH�����z>g�P���?g @)rQ r r� �LOG4ry r� � SG_MAGICCONST�_e)r. �alpha�betar �ainv�bbb�cccr� r� �vr/ r� rj r� rb �pr0 r0 r1 r � sJ * zRandom.gammavariatec C s� | j } | j } d | _ | d k rt | � t } t d t d | � � � } t | � | } t | � | | _ | | | S)Ng @g �?g �)r r- r� r� ry r� �_sin)r. r� r� r r� �x2pi�g2radr0 r0 r1 r! + s z Random.gaussc C s> | j | d � } | d k r" d S| | | j | d � Sd S)Ng �?r g )r )r. r� r� �yr0 r0 r1 r" ` s zRandom.betavariatec C s d | j � } d | d | S)Ng �?)r )r. r� r� r0 r0 r1 r# r s zRandom.paretovariatec C s' d | j � } | t | � d | S)Ng �?)r ry )r. r� r� r� r0 r0 r1 r$ { s zRandom.weibullvariate)!�__name__� __module__� __qualname__rL r2 r r% r& rU rV rW r9 r r �BPFrf � _MethodType�_BuiltinMethodTyperX r r r r r r r r r r r! r" r# r$ r0 r0 )rK r1 r D s4 ) , > 0 H 5 c @ sJ e Z d Z d d � Z d d � Z d d � Z d d � Z e Z Z d S) r( c C s t j t d � d � d ?t S)Nr6 r3 r, )r9 r: r; � RECIP_BPF)r. r0 r0 r1 r � s zSystemRandom.randomc C sl | d k r t d � � | t | � k r6 t d � � | d d } t j t | � d � } | | d | ?S)Nr z(number of bits must be greater than zeroz#number of bits should be an integerr6 � r3 )rQ r9 rR r: r; )r. ri �numbytesr/ r0 r0 r1 r' � s zSystemRandom.getrandbitsc O s d S)Nr0 )r. �args�kwdsr0 r0 r1 r � s zSystemRandom.seedc O s t d � � d S)Nz*System entropy source does not have state.)r< )r. r� r� r0 r0 r1 �_notimplemented� s z SystemRandom._notimplementedN) r� r� r� r r' r r� r% r& r0 r0 r0 r1 r( � s c C s d d l } t | d | j � d } d } d } d } | j � } xV t | � D]H } | | � } | | 7} | | | } t | | � } t | | � } qP W| j � } t t | | d � d d d �| | } t | | | | � } t d | | | | f � d S) Nr �timesg g _�Br, zsec,�end� z"avg %g, stddev %g, min %g, max %g g _��)r= �printr� rq �min�max�roundr� )ra �funcr� r= �total�sqsum�smallest�largest�t0ro r/ �t1�avg�stddevr0 r0 r1 �_test_generator� s& r� i� c C s t | t f � t | t d � t | t d � t | t d � t | t d � t | t d � t | t d � t | t d � t | t d � t | t d � t | t d � t | t d � t | t d � t | t d � t | t d � t | t d � d S)N� � �?�{�G�z�?皙�����?� @� �?��������?� 4@� i@� @)r� r� )r� r� )r� r� )r� r� )r� r� )r� r� )r� r� )r� r� )r� r� )r� r� )r� r� )r� r� )r� r� )r� r� �UUUUUU�?)r� r� r� ) r� r r r r r r! r" r )�Nr0 r0 r1 �_test� s r� �__main__)I�warningsr rd �typesr r� r r� �mathr ry r r� r r� r r� r rx r r� r r� r r� r r� �osr r; �_collections_abcr rv r rw �hashlibr rE �__all__r� r� r� r� r� r� �_randomr r( r� r� �_instr r r r r r r r r r r r r r r! r" r# r$ r% r& r' r� r0 r0 r0 r1 �<module>' sb (" � � F!
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