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Edit: /opt/alt/python311/lib64/python3.11/__pycache__/random.cpython-311.pyc (34540B)
§ ΤÞ(I†v�ãót—dZddlmZddlmZmZm Z m Z m ZddlmZmZmZmZddlmZmZmZddlmZddl m!Z"m#Z$ddl%m&Z'dd l(m)Z*m+Z,dd l-m-Z.dd lZ/dd l0Z0 dd l1m2Z1n#e3$r dd l4m2Z1YnwxYwgd ¢Z5ded¦«zed¦«z Z6ed¦«Z7ded¦«zZ8dZ9de9 zZ:dZ;Gd„de0j<¦«Z<Gd„de<¦«Z=e<¦«Z>e>j?Z?e>j@Z@e>jAZAe>jBZBe>jCZCe>jDZDe>jEZEe>jFZFe>jGZGe>jHZHe>jIZIe>jJZJe>jKZKe>jLZLe>jMZMe>jNZNe>jOZOe>jPZPe>jQZQe>jRZRe>jSZSe>jTZTe>jUZUd„ZVd!d„ZWeXe/d¦«re/jYe>j?¬¦«eZd kr eW¦«d Sd S)"aùRandom variable generators. bytes ----- uniform bytes (values between 0 and 255) integers -------- uniform within range sequences --------- pick random element pick random sample pick weighted random sample generate random permutation distributions on the real line: ------------------------------ uniform triangular normal (Gaussian) lognormal negative exponential gamma beta pareto Weibull distributions on the circle (angles 0 to 2pi) --------------------------------------------- circular uniform von Mises General notes on the underlying Mersenne Twister core generator: * The period is 2**19937-1. * It is one of the most extensively tested generators in existence. * The random() method is implemented in C, executes in a single Python step, and is, therefore, threadsafe. é)Úwarn)ÚlogÚexpÚpiÚeÚceil)ÚsqrtÚacosÚcosÚsin)ÚtauÚfloorÚisfinite)Úurandom)ÚSetÚSequence)Úindex)Ú accumulateÚrepeat)ÚbisectN)Úsha512)ÚRandomÚ SystemRandomÚ betavariateÚchoiceÚchoicesÚ expovariateÚ gammavariateÚgaussÚ getrandbitsÚgetstateÚlognormvariateÚ normalvariateÚ paretovariateÚ randbytesÚrandintÚrandomÚ randrangeÚsampleÚseedÚsetstateÚshuffleÚ triangularÚuniformÚvonmisesvariateÚweibullvariateégà¿ç@ç@çð?ç@é5éécóþ‡—eZdZdZdZd&d„Zd'ˆfd„ Zˆfd„Zˆfd„Zd „Z d „Z d „Z d „Z d „Z dezfd„Ze Zd„Zdefd„Zd„Zd„Zd„Zddœd„Zd&dddœd„Zd„Zd(d„Zd)d„Zd)d„Zd„Zd „Zd!„Zd"„Z d#„Z!d$„Z"d%„Z#ˆxZ$S)*raãRandom number generator base class used by bound module functions. 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If the relative weights or cumulative weights are not specified, the selections are made with equal probability. NçcóH•—g|]}‰‰‰¦«‰z¦«‘ŒSr_r_)r`r�rryr¤r's €€€€r?r¥z"Random.choices..ís2ø€ÐRÐRÐR¸A˜  5 5¨¨©¬°A©Ñ#6Ô#6Ô7ÐRÐRÐRrAz4The number of choices must be a keyword argument: k=z2Cannot specify both weights and cumulative weightsz3The number of weights does not match the populationrDz*Total of weights must be greater than zerozTotal of weights must be finiter8c óN•—g|]!}‰‰‰‰¦«‰zd‰¦«‘Œ"S)rr_)r`r�rr¸Úhir¤r'r±s €€€€€€r?r¥z"Random.choices..sIø€ð+ð+ð+Øð˜6˜6 +¨v¨v©x¬x¸%Ñ/?ÀÀBÑGÔGÔHð+ð+ð+rA) r'rLr~Ú_repeatr©rªrUrFrOrcÚ _isfiniter¬) r=r¤Úweightsr¸rzrrr½ryr'r±s ` ` @@@@@@r?rzRandom.choicesàs°øøøøøøøø€ð”ˆÝ � ‰OŒOˆØ Р؈Ý�Ø�S‘�ØRÐRÐRÐRÐRÐRÐRÅÈÈqÑAQÔAQÐRÑRÔRÐRð Ý"¥;¨wÑ#7Ô#7Ñ8Ô8� � øÝð ð ð Ý! '­3Ñ/Ô/ðØØ�ÝØMÈÐMÐMñôàðð  øøøðÐ ÝÐPÑQÔQÐ QÝ ˆ{Ñ Ô ˜qÒ Ð ÝÐRÑSÔSÐ SؘB” #Ñ%ˆØ �CŠ<ˆ<ÝÐIÑJÔJÐ JݘÑÔð @ÝÐ>Ñ?Ô?Ð ?ÝˆØ �‰Uˆð+ð+ð+ð+ð+ð+ð+ð+ð+Ý   qÑ)Ô)ð+ñ+ô+ð +s ÁA,Á,6B"có<—|||z | ¦«zzS)zHGet a random number in the range [a, b) or [a, b] depending on rounding.©r'r”s r?r.zRandom.uniforms€à�A˜‘E˜TŸ[š[™]œ]Ñ*Ñ*Ð*rArºr4cóΗ| ¦«} |€dn ||z ||z z }n#t$r|cYSwxYw||krd|z }d|z }||}}|||z t||z¦«zzS)zÜTriangular distribution. Continuous distribution bounded by given lower and upper limits, and having a given mode value in-between. http://en.wikipedia.org/wiki/Triangular_distribution Nçà?r4)r'ÚZeroDivisionErrorÚ_sqrt)r=ÚlowÚhighÚmodeÚurYs r?r-zRandom.triangular s˜€ð �KŠK‰MŒMˆð Ø�|��¨$°©*¸À¹Ñ)DˆAˆAøÝ ð ð ð ØˆJˆJˆJð øøøà ˆqŠ5ˆ5Ø�a‘ˆAØ�a‘ˆAؘc�ˆCØ�d˜S‘j¥E¨!¨a©%¡L¤LÑ0Ñ0Ð0s –&¦ 5´5có¬—|j} |¦«}d|¦«z }t|dz z|z }||zdz }|t|¦« krnŒE|||zzS)z\Normal distribution. mu is the mean, and sigma is the standard deviation. Tr4rÄr3)r'Ú NV_MAGICCONSTr®)r=ÚmuÚsigmar'Úu1Úu2ÚzÚzzs r?r#zRandom.normalvariate ss€ð”ˆð Ø�‘”ˆBØ�v�v‘x”x‘ˆBÝ  c¡Ñ*¨RÑ/ˆAØ�Q‘˜‘ˆBØ•d˜2‘h”h�YŠˆØð  ð�A˜‘I‰~ÐrAcó —|j}|j}d|_|€e|¦«tz}tdt d|¦«z ¦«z¦«}t |¦«|z}t |¦«|z|_|||zzS)zØGaussian distribution. mu is the mean, and sigma is the standard deviation. This is slightly faster than the normalvariate() function. Not thread-safe without a lock around calls. NgÀr4)r'r<ÚTWOPIrÆr®Ú_cosÚ_sin)r=rÍrÎr'rÑÚx2piÚg2rads r?rz Random.gauss5s‚€ð6”ˆØ ŒOˆØˆŒØ ˆ9Ø�6‘8”8�eÑ#ˆDݘ$¥ c¨F¨F©H¬H¡nÑ!5Ô!5Ñ5Ñ6Ô6ˆEÝ�T‘ ” ˜UÑ"ˆAÝ" 4™jœj¨5Ñ0ˆDŒOà�A˜‘I‰~ÐrAcóH—t| ||¦«¦«S)zûLog normal distribution. If you take the natural logarithm of this distribution, you'll get a normal distribution with mean mu and standard deviation sigma. mu can have any value, and sigma must be greater than zero. )Ú_expr#)r=rÍrÎs r?r"zRandom.lognormvariate[s"€õ�D×&Ò& r¨5Ñ1Ô1Ñ2Ô2Ð2rAcóR—td| ¦«z ¦« |z S)a^Exponential distribution. lambd is 1.0 divided by the desired mean. It should be nonzero. (The parameter would be called "lambda", but that is a reserved word in Python.) Returned values range from 0 to positive infinity if lambd is positive, and from negative infinity to 0 if lambd is negative. r4)r®r')r=Úlambds r?rzRandom.expovariatees'€õ�S˜4Ÿ;š;™=œ=Ñ(Ñ)Ô)Ð)¨EÑ1Ð1rAcóä—|j}|dkrt|¦«zSd|z }|td||zz¦«z} |¦«}tt|z¦«}|||zz }|¦«} | d||zz ks| d|z t |¦«zkrnŒZd|z } | |zd| |zzz } |¦«} | dkr|t | ¦«ztz} n|t | ¦«z tz} | S)aFCircular data distribution. mu is the mean angle, expressed in radians between 0 and 2*pi, and kappa is the concentration parameter, which must be greater than or equal to zero. If kappa is equal to zero, this distribution reduces to a uniform random angle over the range 0 to 2*pi. g�íµ ÷ư>rÄr4)r'rÔrÆrÕÚ_pirÚÚ_acos)r=rÍÚkappar'r¢r{rÏrÑÚdrÐÚqÚfÚu3Úthetas r?r/zRandom.vonmisesvariatevs€ð ”ˆØ �DŠ=ˆ=ݘ6˜6™8œ8Ñ#Ð #à �%‰KˆØ •�c˜A ™E‘kÑ"Ô"Ñ "ˆð Ø�‘”ˆBÝ•S˜2‘X‘”ˆAà�Q˜‘U‘ ˆAØ�‘”ˆBØ�C˜!˜a™%‘KÒР2¨#°©'µT¸!±W´WÑ)<Ò#<Ð#<Øð ð �!‰GˆØ �‰U�s˜Q ™U‘{Ñ #ˆØ ˆV‰XŒXˆØ �Š8ˆ8Ø�% ™(œ(‘]¥eÑ+ˆEˆEà�% ™(œ(‘]¥eÑ+ˆEàˆ rAcó—|dks|dkrtd¦«‚|j}|dkr¶td|zdz ¦«}|tz }||z} |¦«}d|cxkrdksnŒd|¦«z }t |d|z z ¦«|z } |t | ¦«z} ||z|z} ||| zz| z } | t zd| zz dks| t | ¦«kr| |zSŒ‘|dkrt d|¦«z ¦« |zS |¦«} t|ztz }|| z}|dkr |d|z z} nt ||z |z ¦« } |¦«}|dkr|| |dz zkrnn|t | ¦«krnŒz| |zS) aZGamma distribution. Not the gamma function! Conditions on the parameters are alpha > 0 and beta > 0. The probability distribution function is: x ** (alpha - 1) * math.exp(-x / beta) pdf(x) = -------------------------------------- math.gamma(alpha) * beta ** alpha rºz*gammavariate: alpha and beta must be > 0.0r4r2TgH¯¼šò×z>gËPÊÿÿï?r5)rcr'rÆÚLOG4r®rÚÚ SG_MAGICCONSTÚ_e)r=ÚalphaÚbetar'ÚainvÚbbbÚcccrÏrÐÚvr>rÑr{rÊr•Úps r?rzRandom.gammavariate só€ð �CŠ<ˆ<˜4 3š;˜;ÝÐIÑJÔJÐ Jà”ˆØ �3Š;ˆ;õ ˜˜u™ sÑ*Ñ+Ô+ˆDØ�$‘,ˆCؘ$‘,ˆCð $Ø�V‘X”X�ؘbÐ,Ð,Ò,Ð, 9Ò,Ð,Ð,Ð,ØØ˜6˜6™8œ8‘^�ݘ˜s R™x™Ñ)Ô)¨DÑ0�Ø�D ™GœG‘O�ؘ‘G˜b‘L�ؘ# ™'‘M AÑ%�Ø•}Ñ$ s¨Q¡wÑ.°#Ò5Ð5¸½dÀ1¹g¼gº¸Ø˜t™8�Oð $ð�cŠ\ˆ\嘘v˜v™xœx™Ñ(Ô(Ð(¨4Ñ/Ð /ð Ø�F‘H”H�ݘ%‘Z¥2Ñ%�ؘ‘E�ؘ’8�8ؘc E™kÑ*�A�Aå˜q 1™u¨™oÑ.Ô.Ð.�AØ�V‘X”X�Ø�s’7�7ؘQ 5¨3¡;Ñ/Ò/Ð/Øð0à�4  ™8œ8’^�^Øð ð�t‘8ˆOrAcón—| |d¦«}|r||| |d¦«zz SdS)z�Beta distribution. Conditions on the parameters are alpha > 0 and beta > 0. Returned values range between 0 and 1. r4rº)r)r=rêrëÚys r?rzRandom.betavariateásF€ð, × Ò ˜e SÑ )Ô )ˆØ ð :ؘ˜D×-Ò-¨d°CÑ8Ô8Ñ8Ñ9Ð 9؈srAcó@—d| ¦«z }|d|z zS)z3Pareto distribution. alpha is the shape parameter.r4gð¿rÂ)r=rêrÊs r?r$zRandom.paretovariateüs%€ð �$—+’+‘-”-Ñ ˆØ�T˜E‘\Ñ"Ð"rAcób—d| ¦«z }|t|¦« d|z zzS)zfWeibull distribution. alpha is the scale parameter and beta is the shape parameter. r4)r'r®)r=rêrërÊs r?r0zRandom.weibullvariates2€ð �$—+’+‘-”-Ñ ˆØ�˜a™œ˜ c¨D¡jÑ1Ñ1Ð1rArg)Nr7)rºr4N©rºr4)%Ú__name__Ú __module__Ú __qualname__Ú__doc__r\r@r*r!r+rirkrmrvrrÚBPFrsror%r‹r(r&rr,r)rr.r-r#rr"rr/rrr$r0Ú __classcell__)rZs@r?rrgsdø€€€€€ð ð ð€Gððððð$ð$ð$ð$ð$ð$ðLAðAðAðAðAð6ð6ð6ð6ð6ðBðððððð3ð3ð3ð ððð(ððð9:¸3¹ð'ð'ð'ð'ð&-€Jð=ð=ð=ð%)¨tðH3ðH3ðH3ðH3ðT&ð&ð&ð.ð.ð.ð$ð$ð$ð/3ð]ð]ð]ð]ð]ð~#+¸tÀqð#+ð#+ð#+ð#+ð#+ðP+ð+ð+ð1ð1ð1ð1ð(ðððð*$ð$ð$ð$ðL3ð3ð3ð2ð2ð2ð"(ð(ð(ðT?ð?ð?ðBððð6#ð#ð#ð 2ð 2ð 2ð 2ð 2ð 2ð 2rArcó8—eZdZdZd„Zd„Zd„Zd„Zd„ZexZ Z dS)rzÞAlternate random number generator using sources provided by the operating system (such as /dev/urandom on Unix or CryptGenRandom on Windows). Not available on all systems (see os.urandom() for details). cóf—t td¦«¦«dz tzS)z7Get the next random number in the range 0.0 <= X < 1.0.rCr:)rOrPÚ_urandomÚ RECIP_BPFrhs r?r'zSystemRandom.randoms$€å—’�x¨™{œ{Ñ+Ô+¨qÑ0µIÑ=Ð=rAcó —|dkrtd¦«‚|dzdz}t t|¦«¦«}||dz|z z S)z:getrandbits(k) -> x. Generates an int with k random bits.rz#number of bits must be non-negativerCr„)rcrOrPrþ)r=rzÚnumbytesr>s r?r zSystemRandom.getrandbits sT€à ˆqŠ5ˆ5ÝÐBÑCÔCÐ Cؘ‘E˜a‘<ˆÝ �NŠN�8 HÑ-Ô-Ñ .Ô .ˆØ�X ‘\ AÑ%Ñ&Ð&rAcó —t|¦«S)rƒ)rþr‡s r?r%zSystemRandom.randbytes(s€õ˜‰{Œ{ÐrAcó—dS)zð>ð>ð'ð'ð'ðððð ðððPðPðPð*Ð)€HˆxˆxˆxrArcó^‡‡—ddlm}m}ddlm}|¦«}ˆˆfd„t d|¦«D¦«}|¦«}||¦«} ||| ¦«} t |¦«} t|¦«} t||z d›d|›d‰j ›�¦«td| | | | fz¦«dS) Nr)ÚstdevÚfmean)Ú perf_countercó•—g|]}‰‰Ž‘ŒSr_r_)r`r�rÚfuncs €€r?r¥z#_test_generator..asø€Ð 2Ð 2Ð 2˜AˆDˆD�$ˆKÐ 2Ð 2Ð 2rAz.3fz sec, z times z"avg %g, stddev %g, min %g, max %g ) Ú statisticsr r Útimer r¾ÚminÚmaxÚprintrö) ryrrr Úmeanr Út0ÚdataÚt1ÚxbarrÎrÇrÈs `` r?Ú_test_generatorr\sîøø€Ø/Ð/Ð/Ð/Ð/Ð/Ð/Ð/Ø!Ð!Ð!Ð!Ð!Ð!à ˆ‰Œ€BØ 2Ð 2Ð 2Ð 2Ð 2¥¨¨qÑ!1Ô!1Ð 2Ñ 2Ô 2€DØ ˆ‰Œ€Bà ˆ4�‰:Œ:€DØ ˆE�$˜Ñ Ô €EÝ ˆd‰)Œ)€CÝ ˆt‰9Œ9€Då ˆR�"‰WÐ 9Ð 9Ð 9 Ð 9Ð 9¨$¬-Ð 9Ð 9Ñ:Ô:Ð:Ý Ð /°4¸ÀÀTÐ2JÑ JÑKÔKÐKÐKÐKrAéÐcóÆ—t|td¦«t|td¦«t|td¦«t|td¦«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|td ¦«t|td ¦«dS)Nr_rõ)g{®Gáz„?r4)çš™™™™™¹?r4)rr2)rÄr4)gÍÌÌÌÌÌì?r4)r4r4)r2r4)g4@r4)gi@r4)ç@r)rºr4gUUUUUUÕ?) rr'r#r"r/rrrr-)ÚNs r?Ú_testr ms)€Ý�A•v˜rÑ"Ô"Ð"Ý�A•} jÑ1Ô1Ð1Ý�A•~ zÑ2Ô2Ð2Ý�A•¨ Ñ3Ô3Ð3Ý�A•| [Ñ1Ô1Ð1Ý�A•| ZÑ0Ô0Ð0Ý�A•| ZÑ0Ô0Ð0Ý�A•| ZÑ0Ô0Ð0Ý�A•| ZÑ0Ô0Ð0Ý�A•| ZÑ0Ô0Ð0Ý�A•| ZÑ0Ô0Ð0Ý�A•| [Ñ1Ô1Ð1Ý�A•| \Ñ2Ô2Ð2Ý�A•u˜jÑ)Ô)Ð)Ý�A•{ JÑ/Ô/Ð/Ý�A•zÐ#8Ñ9Ô9Ð9Ð9Ð9rAÚfork)Úafter_in_childÚ__main__)r)[rùÚwarningsrr}Úmathrr®rrÚrrÞrrérr­r rÆr rßr rÕr rÖr rÔrr~rr¿ÚosrrþÚ_collections_abcrÚ_Setrr¨Úoperatorrr‰Ú itertoolsrrªrr¾rr¬Ú_osÚ_randomrQrÚ ImportErrorÚhashlibÚ__all__rÌrçrèrúrÿr‹rrÚ_instr*r'r.r-r&rr(r)r,rr#r"rr/rrrr$r0r!r+r r%rr ÚhasattrÚregister_at_forkrör_rAr?úr3sLðð)ð)ð^#Ð"Ð"Ð"Ð"Ð"ØLÐLÐLÐLÐLÐLÐLÐLÐLÐLÐLÐLÐLÐLØGÐGÐGÐGÐGÐGÐGÐGÐGÐGÐGÐGØEÐEÐEÐEÐEÐEÐEÐEÐEÐEØ"Ð"Ð"Ð"Ð"Ð"Ø?Ð?Ð?Ð?Ð?Ð?Ð?Ð?Ø$Ð$Ð$Ð$Ð$Ð$ØBÐBÐBÐBÐBÐBÐBÐBØ$Ð$Ð$Ð$Ð$Ð$ØÐÐÐØ€€€ð*à)Ð)Ð)Ð)Ð)Ð)Ð)øØð*ð*ð*à)Ð)Ð)Ð)Ð)Ð)Ð)Ð)ð*øøøð ð ð €ð8�D�D˜‘J”J‘   s¡¤Ñ+€ Ø €tˆC�y„y€Ø�d�d˜3‘i”i‘€ Ø€Ø �#�‰I€ Ø€ðe 2ðe 2ðe 2ðe 2ðe 2ˆWŒ^ñe 2ôe 2ðe 2ðX"*ð"*ð"*ð"*ð"*�6ñ"*ô"*ð"*ðX ˆ‰Œ€Ø „z€Ø Œ€Ø Œ-€Ø Ô € Ø Œ-€Ø Œ€Ø ŒO€ Ø Œ€Ø Œ-€Ø Œ-€ØÔ#€ ØÔ%€ØÔ€ ØÔ'€ØÔ!€ Ø Œ €ØÔ€ ØÔ#€ ØÔ%€Ø Œ>€Ø Œ>€ØÔ€ Ø ŒO€ ð LðLðLð":ð:ð:ð:ð, €7ˆ3�ÑÔð4Ø€CÔ¨¬ Ð3Ñ3Ô3Ð3ð ˆzÒÐØ €E�G„G€G€G€GðÐsÁAÁ A-Á,A-