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Edit: /usr/lib/python2.6/random.pyc (25024B)
Ñò «gc @ s™dZddklZddklZddklZl Z ddk l Z lZlZlZlZddk lZlZlZlZddklZ ddk!l"Z#d d d d d ddddddddddddddddddd d!gZ$d"ed#ƒed$ƒZ%d$eZ&e d%ƒZ'd&e d'ƒZ(d(Z)d)e) Z*dd*k+Z+d e+i,fd+„ƒYZ,de,fd,„ƒYZ-d!e,fd-„ƒYZ.d.„Z/d/d0„Z0e,ƒZ1e1i2Z2e1i3Z3e1i4Z4e1i5Z5e1i6Z6e1i7Z7e1i8Z8e1i9Z9e1i:Z:e1i;Z;e1i<Z<e1i=Z=e1i>Z>e1i?Z?e1i@Z@e1iAZAe1iBZBe1iCZCe1iDZDe1iEZEe1iFZFe1iGZGeHd1jo e0ƒnd*S(2sPRandom variable generators. integers -------- uniform within range sequences --------- pick random element pick 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. * Without a direct way to compute N steps forward, the semantics of jumpahead(n) are weakened to simply jump to another distant state and rely on the large period to avoid overlapping sequences. * The random() method is implemented in C, executes in a single Python step, and is, therefore, threadsafe. iÿÿÿÿ(tdivision(twarn(t MethodTypetBuiltinMethodType(tlogtexptpitetceil(tsqrttacostcostsin(turandom(thexlifytRandomtseedtrandomtuniformtrandinttchoicetsamplet randrangetshufflet normalvariatetlognormvariatet expovariatetvonmisesvariatet gammavariatet triangulartgausst betavariatet paretovariatetweibullvariatetgetstatetsetstatet jumpaheadt WichmannHillt getrandbitst SystemRandomigà¿g@g@gð?g@i5iNcB s'eZdZdZdd„Zdd„Zd„Zd„Zd„Z d„Z d„Z dd e dd e >d „Zd „Zee d e >eed „Zd„Zde d„Zd„Zd„Zdddd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Z d„Z!RS(sÎRandom number generator base class used by bound module functions. Used to instantiate instances of Random to get generators that don't share state. Especially useful for multi-threaded programs, creating a different instance of Random for each thread, and using the jumpahead() method to ensure that the generated sequences seen by each thread don't overlap. Class Random can also be subclassed if you want to use a different basic generator of your own devising: in that case, override the following methods: random(), seed(), getstate(), setstate() and jumpahead(). Optionally, implement a getrandbits() method so that randrange() can cover arbitrarily large ranges. icC s|i|ƒd|_dS(seInitialize an instance. Optional argument x controls seeding, as for Random.seed(). N(RtNonet gauss_next(tselftx((s/usr/lib/python2.6/random.pyt__init__Zs cC s‹|djo[ytttdƒƒdƒ}Wqhtj o)ddk}t|iƒdƒ}qhXntt|ƒi|ƒd|_ dS(sInitialize internal state from hashable object. None or no argument seeds from current time or from an operating system specific randomness source if available. If a is not None or an int or long, hash(a) is used instead. iiÿÿÿÿNi( R(tlongt_hexlifyt_urandomtNotImplementedErrorttimetsuperRRR)(R*taR1((s/usr/lib/python2.6/random.pyRcs  cC s"|itt|ƒiƒ|ifS(s9Return internal state; can be passed to setstate() later.(tVERSIONR2RR"R)(R*((s/usr/lib/python2.6/random.pyR"vscC sÔ|d}|djo,|\}}|_tt|ƒi|ƒnŽ|djog|\}}|_ytd„|Dƒƒ}Wntj o}t|‚nXtt|ƒi|ƒntd||ifƒ‚dS(s:Restore internal state from object returned by getstate().iiics s#x|]}t|ƒdVqWdS(ii Nl(R-(t.0R+((s/usr/lib/python2.6/random.pys ‡s s?state with version %s passed to Random.setstate() of version %sN(R)R2RR#ttuplet ValueErrort TypeErrorR4(R*tstatetversiont internalstateR((s/usr/lib/python2.6/random.pyR#zs   cC s |iƒS(N(R"(R*((s/usr/lib/python2.6/random.pyt __getstate__•scC s|i|ƒdS(N(R#(R*R9((s/usr/lib/python2.6/random.pyt __setstate__˜scC s|id|iƒfS(N((t __class__R"(R*((s/usr/lib/python2.6/random.pyt __reduce__›silc C s||ƒ}||jo td‚n||joJ|djo0||jo|i|ƒS||iƒ|ƒStd‚n||ƒ}||jo td‚n||} |djoQ| djoD| |jo|||i| ƒƒS||||iƒ| ƒƒS|djotd||| f‚n||ƒ} | |jo td‚n| djo| | d| } n-| djo| | d| } n td‚| djo td‚n| |jo|| |i| ƒS|| ||iƒ| ƒS( sChoose a random item from range(start, stop[, step]). This fixes the problem with randint() which includes the endpoint; in Python this is usually not what you want. Do not supply the 'int', 'default', and 'maxwidth' arguments. s!non-integer arg 1 for randrange()isempty range for randrange()s non-integer stop for randrange()is'empty range for randrange() (%d,%d, %d)s non-integer step for randrange()szero step for randrange()(R7t _randbelowR( R*tstarttstoptsteptinttdefaulttmaxwidthtistarttistoptwidthtisteptn((s/usr/lib/python2.6/random.pyR s@                      cC s|i||dƒS(sJReturn random integer in range [a, b], including both end points. i(R(R*R3tb((s/usr/lib/python2.6/random.pyRàsc C sÊy |i}Wntj onzXt|iƒ|jpt|ƒ|joO|d||ddƒƒ}||ƒ} x| |jo||ƒ} qxW| S||jotdƒn||iƒ|ƒS(s£Return a random int in the range [0,n) Handles the case where n has more bits than returned by a single call to the underlying generator. grÄZ| ð?ig@sgUnderlying random() generator does not supply enough bits to choose from a population range this large(R&tAttributeErrorttypeRt_warn( R*RKt_logRDt _maxwidtht_Methodt_BuiltinMethodR&tktr((s/usr/lib/python2.6/random.pyR@æs )   cC s|t|iƒt|ƒƒS(s2Choose a random element from a non-empty sequence.(RDRtlen(R*tseq((s/usr/lib/python2.6/random.pyRscC sx|djo |i}nxWttdt|ƒƒƒD]:}||ƒ|dƒ}||||||<|| shuffle list x in place; return None. Optional arg random is a 0-argument function returning a random float in [0.0, 1.0); by default, the standard random.random. iN(R(RtreversedtxrangeRV(R*R+RRDtitj((s/usr/lib/python2.6/random.pyRs   c C sÔt|ƒ}d|jo |jnp td‚n|i}t}d g|}d}|djo%|dtt|ddƒƒ7}n||jpt|dƒobt|ƒ}xt |ƒD]A} ||ƒ|| ƒ} || || <||| d|| (RRP(R*tlambdRRn((s/usr/lib/python2.6/random.pyRs   cC s7|i}|djo t|ƒSdtdd||ƒ}|td|ƒd|}d||d|}x~|ƒ}tt|ƒ}d||||} ||| } |ƒ} | | d| jp| | td| ƒjoPqsqs|ƒ} | djo|tt| ƒ} n|tt| ƒ} | S(sFCircular 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. gíµ ÷ư>gð?g@g@gà?(RtTWOPIt_sqrtt_cost_piRwt_acos(R*RqtkappaRR3RLRURsRutfRoRttu3ttheta((s/usr/lib/python2.6/random.pyR²s&     0  cC s|djp |djo td‚n|i}|djoêtd|dƒ}|t}||}x³|ƒ}d|jo djnpqhnd|ƒ}t|d|ƒ|} |t| ƒ} |||} ||| | } | td| djp| t| ƒjo | |Sqhnõ|djo7|ƒ} x| djo |ƒ} q@Wt| ƒ |Sx¥|ƒ} t|t}|| }|djo|d|} nt|||ƒ } |ƒ}|djo|| |djoPqqn|t| ƒjoPqnqn| |SdS( sxGamma distribution. Not the gamma function! Conditions on the parameters are alpha > 0 and beta > 0. gs*gammavariate: alpha and beta must be > 0.0gð?g@gH¯¼šò×z>gËPÊÿÿï?g@N(R7RRztLOG4RPRwt SG_MAGICCONSTt_e(R*talphatbetaRtainvtbbbtcccRsRttvR+RuRURnRLtp((s/usr/lib/python2.6/random.pyRäsL        ,         cC s…|i}|i}d|_|djoQ|ƒt}tdtd|ƒƒƒ}t|ƒ|}t|ƒ||_n|||S(sØGaussian 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. gÀgð?N(RR)R(RyRzRPR{t_sin(R*RqRrRRutx2pitg2rad((s/usr/lib/python2.6/random.pyR&s     cC s@|i|dƒ}|djodS|||i|dƒSdS(sBeta distribution. Conditions on the parameters are alpha > 0 and beta > 0. Returned values range between 0 and 1. gð?igN(R(R*R…R†ty((s/usr/lib/python2.6/random.pyR[s  cC s%d|iƒ}dt|d|ƒS(s3Pareto distribution. alpha is the shape parameter.gð?(Rtpow(R*R…Rn((s/usr/lib/python2.6/random.pyR mscC s,d|iƒ}|tt|ƒ d|ƒS(sfWeibull distribution. alpha is the scale parameter and beta is the shape parameter. gð?(RRRP(R*R…R†Rn((s/usr/lib/python2.6/random.pyR!vsN("t__name__t __module__t__doc__R4R(R,RR"R#R<R=R?RDtBPFRRRPt _MethodTypet_BuiltinMethodTypeR@RRRRRRRRRRRRR R!(((s/usr/lib/python2.6/random.pyRGs8       ?    J    2 B 5  cB s\eZdZd d„Zd„Zd„Zd„Zd„Zdddd„Z d d„Z RS( icC s |djo[ytttdƒƒdƒ}Wqhtj o)ddk}t|iƒdƒ}qhXnt|ttfƒpt|ƒ}nt |dƒ\}}t |dƒ\}}t |dƒ\}}t|ƒdt|ƒdt|ƒdf|_ d|_ dS( süInitialize internal state from hashable object. None or no argument seeds from current time or from an operating system specific randomness source if available. If a is not None or an int or long, hash(a) is used instead. If a is an int or long, a is used directly. Distinct values between 0 and 27814431486575L inclusive are guaranteed to yield distinct internal states (this guarantee is specific to the default Wichmann-Hill generator). iiÿÿÿÿNii= 0i«i=vi¬icviªisvN(R7R™RDR(R*RKR+RRu((s/usr/lib/python2.6/random.pyR$Ós    icC s‘t|ƒt|ƒjot|ƒjo tjnptdƒ‚nd|jo djno9d|jo djnod|jo djnptdƒ‚nd|jo|jo |jno}ddk}t|iƒdƒ}t|d@|d?Aƒ}t|dƒ\}}t|dƒ\}}t|dƒ\}}n|pd |pd |pd f|_d|_ dS( sjSet the Wichmann-Hill seed from (x, y, z). These must be integers in the range [0, 256). sseeds must be integersiisseeds must be in range(0, 256)iÿÿÿÿNiÿÿÿii( RNRDR8R7R1R-R˜R™R(R)(R*R+RRuR1tt((s/usr/lib/python2.6/random.pyt__whseedés<Z* 'cC s½|djo|iƒdSt|ƒ}t|dƒ\}}t|dƒ\}}t|dƒ\}}||dpd}||dpd}||dpd}|i|||ƒdS(sbSeed from hashable object's hash code. None or no argument seeds from current time. It is not guaranteed that objects with distinct hash codes lead to distinct internal states. This is obsolete, provided for compatibility with the seed routine used prior to Python 2.1. Use the .seed() method instead. Nii(R(t_WichmannHill__whseedR—R˜(R*R3R+RRu((s/usr/lib/python2.6/random.pytwhseeds   N( R‘R’R4R(RRR"R#R$RœR(((s/usr/lib/python2.6/random.pyR%ƒs    cB sFeZdZd„Zd„Zd„ZeZZd„ZeZ Z RS(sÝAlternate random number generator using sources provided by the operating system (such as /dev/urandom on Unix or CryptGenRandom on Windows). Not available on all systems (see os.urandom() for details). cC s!tttdƒƒdƒd?tS(s3Get the next random number in the range [0.0, 1.0).iii(R-R.R/t RECIP_BPF(R*((s/usr/lib/python2.6/random.pyR!scC sy|djotdƒ‚n|t|ƒjotdƒ‚n|dd}ttt|ƒƒdƒ}||d|?S(s>getrandbits(k) -> x. Generates a long int with k random bits.is(number of bits must be greater than zeros#number of bits should be an integeriii(R7RDR8R-R.R/(R*RTtbytesR+((s/usr/lib/python2.6/random.pyR&%s cO sdS(s<Stub method. Not used for a system random number generator.N(R((R*targstkwds((s/usr/lib/python2.6/random.pyt_stub/scO stdƒ‚dS(sAMethod should not be called for a system random number generator.s*System entropy source does not have state.N(R0(R*R R¡((s/usr/lib/python2.6/random.pyt_notimplemented4s( R‘R’R“RR&R¢RR$R£R"R#(((s/usr/lib/python2.6/random.pyR's    cC sõddk}|GdG|iGHd}d}d}d}|iƒ}xVt|ƒD]H} ||Œ} || 7}|| | }t| |ƒ}t| |ƒ}qMW|iƒ} t| |dƒGdG||} t||| | ƒ} d| | ||fGHdS( Niÿÿÿÿttimesgg _ Bg _ Âissec,s!avg %g, stddev %g, min %g, max %g(R1R‘trangetmintmaxtroundRz(RKtfuncR R1ttotaltsqsumtsmallesttlargesttt0RZR+tt1tavgtstddev((s/usr/lib/python2.6/random.pyt_test_generator;s(       iÐcC s t|td ƒt|td ƒt|td ƒt|tdƒt|tdƒt|tdƒt|tdƒt|tdƒt|tdƒt|tdƒt|tdƒt|tdƒt|tdƒt|tdƒt|tdƒt|tdddfƒdS(Nggð?g{®Gáz„?gš™™™™™¹?g@gà?gÍÌÌÌÌÌì?g4@gi@g@((ggð?(ggð?(ggð?(g{®Gáz„?gð?(gš™™™™™¹?gð?(gš™™™™™¹?g@(gà?gð?(gÍÌÌÌÌÌì?gð?(gð?gð?(g@gð?(g4@gð?(gi@gð?(ggð?(g@g@gUUUUUUÕ?( R²RRRRRRRR(tN((s/usr/lib/python2.6/random.pyt_testQs t__main__(IR“t __future__RtwarningsRROttypesRR•RR–tmathRRPRRwRR|RR„RR]R RzR R}R R{R RŒtosR R/tbinasciiRR.t__all__RpRyR‚RƒR”Ržt_randomRR%R'R²R´t_instRRRRRRRRRRRRRRRRR R!R"R#R$R&R‘(((s/usr/lib/python2.6/random.pyt(sh("        ÿÿ>–"