#! /usr/bin/env python

##############################################################################
##  DendroPy Phylogenetic Computing Library.
##
##  Copyright 2010-2015 Jeet Sukumaran and Mark T. Holder.
##  All rights reserved.
##
##  See "LICENSE.rst" for terms and conditions of usage.
##
##  If you use this work or any portion thereof in published work,
##  please cite it as:
##
##     Sukumaran, J. and M. T. Holder. 2010. DendroPy: a Python library
##     for phylogenetic computing. Bioinformatics 26: 1569-1571.
##
##############################################################################

"""
Fixed, cyclical "random" numbers.
"""

import random

class MockRandom(random.Random):
    """
    An overload of Random that returns numbers from a circular list of 1000
    numbers. This is useful for testing.
    """
    def __init__(self, x=None):
        """
        __init__ creates an instance with the optional argument ``x`` controls seeding,
        as for Random.seed().
        """
        self.period = 1000
        self.index = 0
        self.rand_nums = [
0.31443191705262208, 0.2271212707069612, 0.49820681873991857,
0.44722415062740772, 0.92936218264281234, 0.59873171836809469,
0.19982411078265749, 0.98903094700215477, 0.026814421675923739,
0.24553294072971865, 0.90473066455214113, 0.63500099590551295,
0.062485878633049552, 0.40324970479428146, 0.75995556949919885,
0.98363548217857744, 0.54357505325205402, 0.85219514190867551,
0.61210275315338891, 0.74896253672556812, 0.70873501751854029,
0.87114422189514784, 0.92753457916157112, 0.60789956222627695,
0.34263919254268715, 0.33226005584940799, 0.13578382005587253,
0.23424699675198624, 0.50146300494834883, 0.77817054412039099,
0.15334683515195979, 0.38000295395822037, 0.80658234859686051,
0.52900928702132466, 0.16707757903062137, 0.9906812734146403,
0.068901748752614456, 0.49099641208134737, 0.47428802125713176,
0.043623746806798258, 0.27436313661767664, 0.6062541793704701,
0.46702497674258392, 0.010313222742326711, 0.045727337925076994,
0.096940257042402833, 0.8451024639104916, 0.10813661350545056,
0.36447286770120435, 0.17255941523459573, 0.4458754882710313,
0.56730670677709205, 0.66242313381279672, 0.2411633825018501,
0.64646607162710512, 0.51004102559263365, 0.14276617568106564,
0.49980274479883058, 0.56829545095899059, 0.14666139536796241,
0.27122315425029742, 0.062076706517107283, 0.29784232388014031,
0.46937153843131396, 0.39662305708213441, 0.77502963788221912,
0.34431246165606266, 0.12406976774146794, 0.77954233508627691,
0.98442357618953502, 0.65870863138879365, 0.76317430726323587,
0.32193320354888499, 0.41567072312058628, 0.49826478349801484,
0.94425296232063916, 0.40038568591413637, 0.83149782296288244,
0.50820834756269906, 0.45158625835932231, 0.87137420135576282,
0.18969443418561149, 0.70471518687224011, 0.43044950270947491,
0.14105841021622767, 0.46819020426556379, 0.28429748379509456,
0.33490273723410269, 0.92074700534564446, 0.85633367206412803,
0.44757299380703963, 0.45672655371946225, 0.70731920284944627,
0.75300537008067314, 0.2232676076061364, 0.61512018215155906,
0.62469408147020833, 0.70676695570246395, 0.90236199735102374,
0.079786365777333557, 0.13031703283041907, 0.69722911855322822,
0.065641265674688865, 0.14489805312547432, 0.50224362737950645,
0.44567510180376657, 0.89500463323088286, 0.90910794360813263,
0.100405084345489, 0.55357619376108902, 0.2631932106857483,
0.5368157483119983, 0.99717971859556964, 0.90080123405742396,
0.8919749597060378, 0.96319408512128946, 0.72104763380068249,
0.33794570782212341, 0.92887336720989366, 0.57094598529869378,
0.81251580554905201, 0.49833566254350214, 0.074578046896970562,
0.15742891672534376, 0.56030040624723298, 0.62341890462128202,
0.41169999530912615, 0.80360387569467229, 0.24478587276981478,
0.53034050960413304, 0.14555402088453773, 0.57197267277344321,
0.7492744117968001, 0.40784211694021266, 0.11232415851698097,
0.29253785687755374, 0.20417762476978685, 0.45634845668850621,
0.97792963901394625, 0.7152084884227089, 0.27861419201158755,
0.62803675215958377, 0.85168636397984088, 0.6597634578414231,
0.078721939023294496, 0.1349959738362746, 0.27468049112529636,
0.02946495780617886, 0.42358091820270471, 0.77729283466797494,
0.02988444242940469, 0.83123858689441787, 0.76934867134442064,
0.64741431523640336, 0.3912084129095641, 0.6045302455094459,
0.34111190327675178, 0.55496514485688919, 0.60933955006653029,
0.54722840485533641, 0.10093773352434698, 0.58381620951367252,
0.076014095573963547, 0.4796220011714295, 0.10066813035566546,
0.9886687525572585, 0.73671841735259536, 0.77680789701691333,
0.50699813617100875, 0.16008125326001144, 0.87823152126474469,
0.14575661058543921, 0.60250564670920836, 0.61902906767558685,
0.049351327842071746, 0.49953084340237608, 0.41093474250555473,
0.97552953639011253, 0.51676060749834307, 0.93071762821570492,
0.24874925056574937, 0.060860377679168187, 0.39232281732286711,
0.80356313595940954, 0.786440293404014, 0.64625142562190385,
0.94871068219852805, 0.84212491538939049, 0.36449282817053852,
0.82234210696581844, 0.61187529740994917, 0.94733352117304892,
0.92772114792736216, 0.26248960149311207, 0.41887757379152035,
0.12936694229983947, 0.57001710049713061, 0.010005635615027653,
0.68070258603920941, 0.55882732694910564, 0.87295001985704523,
0.36658461453172919, 0.23237288683316459, 0.64910872189673208,
0.084974460323642309, 0.34096916028967794, 0.47612236632740101,
0.24552896768330368, 0.042646747131294127, 0.020766228915284457,
0.35707004990778979, 0.40859001679046225, 0.48306480955720965,
0.64214193409924802, 0.81819075869930569, 0.69944147181886729,
0.31408848949179724, 0.50536430567600688, 0.40477779512142853,
0.59493090819332872, 0.0089839382967883408, 0.67524592540041495,
0.63002984647419125, 0.177094541575886, 0.1749310289571564,
0.1932982649036219, 0.21408296727424447, 0.20929754851582516,
0.46529022624963767, 0.78707697700412727, 0.41333186638156294,
0.11574974641989877, 0.53867238158603425, 0.82175328149463944,
0.67639453631223012, 0.25014369054860197, 0.49854609920360005,
0.24030238095944334, 0.48457535655726824, 0.25746386922489906,
0.46106628357880619, 0.81808647586913241, 0.15491536835125597,
0.79565090323486443, 0.72113371275143234, 0.15892353894428957,
0.83542074414500689, 0.45886961733146725, 0.43162455397970179,
0.50755071650515615, 0.37972028616229669, 0.69097183736373469,
0.3392880552007751, 0.56391954383553367, 0.51596972483937542,
0.3350085000360179, 0.76262188690414423, 0.04059566986953278,
0.72096512147672664, 0.73804031506128298, 0.68867017527258689,
0.4839824851362271, 0.56147196547531775, 0.8322849786127503,
0.41930393927188214, 0.95129787073939975, 0.077389437920532544,
0.73312136710456399, 0.85968301610141051, 0.84910535174694934,
0.67672577614868568, 0.39840657520227629, 0.94849298075019639,
0.73238765873246292, 0.65963864561479935, 0.83040338914322942,
0.84313679569585709, 0.74823189764524778, 0.26818361235787402,
0.64491449933958134, 0.29926105221964849, 0.40622193728965883,
0.43894970523034738, 0.37205376178932681, 0.68288316787791026,
0.51152834706969119, 0.040094666318732486, 0.51835551855297335,
0.69914133860734295, 0.64041327950776628, 0.53911859102535886,
0.47419203100048946, 0.98833247945952285, 0.45942391149428241,
0.48638367210938549, 0.29548147882844189, 0.5516776265496679,
0.80321163510972327, 0.86442523514958547, 0.47263593924626335,
0.30319463616137066, 0.36245407246198802, 0.75558505880342719,
0.95739479621470969, 0.82587358532163613, 0.11247960960382175,
0.46419576976880894, 0.90535923412978114, 0.18505075271874682,
0.065084859736668332, 0.41088413144481051, 0.1163853084536014,
0.71752303978381093, 0.9696211810020936, 0.82196703884289235,
0.72049774195929861, 0.7752354427755731, 0.09388893717118818,
0.1325673610022654, 0.25435966713715885, 0.61212919784239284,
0.99337146179390368, 0.93141574366900326, 0.82812399481728349,
0.4428708918637918, 0.98219708766421743, 0.59186175672774433,
0.21553895655929745, 0.18919035141314622, 0.37778541717248304,
0.70150248593439224, 0.038493068549859011, 0.45017106304425603,
0.012349355068150825, 0.057210716141382956, 0.36131218967977441,
0.30368749532763406, 0.76748032875773708, 0.074477506286847683,
0.36360791444330609, 0.9623640161286835, 0.80248013595119039,
0.64840527058023545, 0.27315029782770062, 0.26570186631332293,
0.032536083555708806, 0.48705081387400317, 0.59687133594383202,
0.62350625415636296, 0.28500931577707378, 0.75038812771746921,
0.63642564096896859, 0.50344381173183284, 0.046246962255789281,
0.65096776559704583, 0.99335669174451846, 0.60052902908479966,
0.91310341608001355, 0.26914409939868555, 0.98510339278263348,
0.46710139889858215, 0.39325219794139132, 0.52623165641816971,
0.96037264125943966, 0.79579351771376217, 0.25476456445703821,
0.10940016989945811, 0.99020083999370367, 0.22552307457113296,
0.71042251786619393, 0.039664945075574831, 0.96216550041626125,
0.10016594114658017, 0.96625136816262613, 0.040562665307392276,
0.75347472744879929, 0.56515679140674746, 0.27644225575309123,
0.89878952868547379, 0.83261330046450299, 0.15034835204416519,
0.11408844903704218, 0.9576585991414176, 0.5366198880109444,
0.35420905430064598, 0.68357000407099699, 0.94642589611259054,
0.56475741360759735, 0.77754449030481632, 0.88616730803987898,
0.65641106985679387, 0.67437950243977707, 0.47221622506846839,
0.50062117520556204, 0.91970430648981094, 0.18131053303862033,
0.21272268806612415, 0.05377388641792813, 0.31007890951373962,
0.32618319789265249, 0.34290429703351155, 0.21549459205241117,
0.2524280170570633, 0.81709409505752828, 0.75815705258870691,
0.47234205496003512, 0.78357212776826923, 0.53932071107791935,
0.85077682027667501, 0.83311361991293376, 0.90786178925224947,
0.15239185151498524, 0.55034674406410433, 0.75795968586040596,
0.65221986813104249, 0.65040096790719815, 0.83824965080922464,
0.43799507441117524, 0.87074085705683202, 0.94866130510988389,
0.52427380088194253, 0.75466867079311706, 0.59072719583099642,
0.75196616934637517, 0.86124226022283668, 0.4083157725740546,
0.18255991491456602, 0.8094909841226301, 0.9238223349425172,
0.3489557609572872, 0.63121018395963568, 0.17545841707657228,
0.49821878413082843, 0.80327811868126764, 0.28922419662100818,
0.096050290301955776, 0.538241792459762, 0.1713976104609598,
0.42123504272249834, 0.070501770640446049, 0.10049193448270621,
0.40017124813453819, 0.49753518158427923, 0.9886569977137456,
0.0036223759804981936, 0.72003196594546082, 0.49450652913802473,
0.85446043489120027, 0.27576601630834741, 0.69832406474399744,
0.84560364778003083, 0.51772138467128959, 0.39288177031969562,
0.96205954073664657, 0.01036595300701304, 0.20813795619564024,
0.58211793695016312, 0.093444683710641629, 0.56200191781191788,
0.23670382060870676, 0.11486440233716622, 0.95144899622178924,
0.16548179609792213, 0.749604411358611, 0.8489642046684549,
0.74481664127095337, 0.14323986526663668, 0.57678405290507173,
0.70737322386084223, 0.67618648905068834, 0.2465839168756111,
0.78710019275683885, 0.28787543298114859, 0.097255946101287516,
0.52633018343137772, 0.13397988165453845, 0.34982242740349179,
0.30083568024580221, 0.23002499396511533, 0.39455145880055487,
0.53909282369214884, 0.5098939390012095, 0.99519630939119719,
0.65245304515657243, 0.6278994145755239, 0.28974657946211091,
0.60721277396019713, 0.89345895195698755, 0.29467240439427766,
0.85481899776248127, 0.52193388182858658, 0.9133801554519243,
0.50427500446909879, 0.85002896645153558, 0.87105707616743488,
0.88274737164353945, 0.39826295447590065, 0.97178570093923,
0.59557258786570377, 0.85176449380549812, 0.63033913649146966,
0.85138887004600872, 0.84230334700094767, 0.54577129632427634,
0.066205916782848928, 0.055465695420991001, 0.34186500465807157,
0.83648536922433414, 0.50566045826603923, 0.075635038536681964,
0.83140814268128949, 0.93468963034722885, 0.59507556482872892,
0.99365469502662762, 0.058149318098988489, 0.54942554831926116,
0.1649351536556477, 0.36156873463203754, 0.48927371055917002,
0.46630723876444657, 0.43494631989319743, 0.068712919541944251,
0.017189475299067558, 0.0088556842001139557, 0.36141417615913152,
0.85308467014593914, 0.62582981485046285, 0.9581126836643491,
0.61919083481355885, 0.27660431371386407, 0.69629612158347465,
0.1882410189585707, 0.88515805020035998, 0.22963170832643232,
0.26232029298479531, 0.37470837626189657, 0.23675339810004337,
0.69090831156040311, 0.80140513633505306, 0.92279857466770476,
0.6065036854306598, 0.018178829690600251, 0.093450588123038192,
0.76349911808481519, 0.31488524475447477, 0.22338899889386088,
0.34791728969913149, 0.28557610843267833, 0.35156310782500766,
0.92534773820401084, 0.82482329374533125, 0.21731554294414435,
0.36144672624854923, 0.65796790552131279, 0.19540075868896012,
0.16884193855701868, 0.36038857167145644, 0.59040341628371806,
0.88059940221166688, 0.96497956855411582, 0.081138766376561589,
0.21706711129437584, 0.090823322263668516, 0.2088945616604938,
0.073581231114019929, 0.46847688801420184, 0.075993449653287581,
0.61216656870467434, 0.76075674317013886, 0.61140551802038356,
0.16549265935398116, 0.96911925303347668, 0.60625163307811458,
0.72399365784065461, 0.002644877214834751, 0.4420448631751952,
0.27100053245915956, 0.01049476392458959, 0.34914797964595035,
0.62620571336031605, 0.99174582921261834, 0.10282266856087319,
0.42527709634381805, 0.61827337279979699, 0.042628563903215788,
0.99425805906104536, 0.18835802817121261, 0.51663287801309388,
0.00071687243225870834, 0.19224356026637945, 0.35424929691079809,
0.27771613021877772, 0.1702926412836574, 0.57744611720777628,
0.09411402810943903, 0.55800959037312126, 0.6755403793946978,
0.63971514472872804, 0.84208699726913872, 0.73924273979392963,
0.31797310932926437, 0.43560559324304082, 0.72822006078137302,
0.34021010712720468, 0.65800890008991064, 0.92506411624434082,
0.87027885934255056, 0.65165487411908385, 0.57590949220775711,
0.5305811800645196, 0.21300563938823236, 0.85319355429992927,
0.41813336013349511, 0.6402346817441521, 0.12696860712654501,
0.47007546629474051, 0.48542408063649056, 0.075530125640996482,
0.51893066398146626, 0.81844064972408193, 0.10747498923675491,
0.1096282809806246, 0.25375564153884489, 0.36633088159110827,
0.15801256597931457, 0.922151809927651, 0.031768569931787893,
0.43576325573288455, 0.21113431542672856, 0.31596674335427177,
0.85599318804265878, 0.81208478273596529, 0.10816056162310417,
0.90119858816078713, 0.44899529012597006, 0.33724510161922039,
0.88408157989409231, 0.087297142667446925, 0.45339378304422251,
0.92291152162924073, 0.37146410762513915, 0.28635300349987958,
0.52531368082180052, 0.19987533551229164, 0.28515195833401197,
0.78696780334000849, 0.18409735841751462, 0.63115068875856151,
0.014052055220890813, 0.75537970046662439, 0.69667760101543752,
0.53849726798980924, 0.69966987907192613, 0.68409265434583921,
0.96233996652121068, 0.33707239023588242, 0.78097691869862418,
0.77797849881511727, 0.80270691051387077, 0.48887933213516466,
0.66342940395001104, 0.75499746294870507, 0.19781780665223792,
0.18272687155761635, 0.96623704587636516, 0.5238656866056709,
0.44386011541475057, 0.64522237359183865, 0.50810450980814414,
0.76823725686412425, 0.47406197139443873, 0.41873386804615276,
0.47922922274530522, 0.31067765642017786, 0.59285344557631647,
0.40805366505854601, 0.81430345633987966, 0.71662142693747621,
0.85685183873929738, 0.14406177373290485, 0.51104814471267757,
0.14071252290705238, 0.06969316390364011, 0.2583719584556573,
0.68451057254140613, 0.0016165163630846857, 0.080538867172593731,
0.82231364544818153, 0.16851979870461298, 0.25747974558536035,
0.45300989528105839, 0.98526738767557143, 0.97451169000984994,
0.038117904404271652, 0.01765330749662497, 0.6744420693012253,
0.71078268782386889, 0.55552919512325083, 0.19525732457142908,
0.98498115572050793, 0.94424033466702706, 0.30238482785473619,
0.51735289069888513, 0.0218844360276651, 0.37095525152876008,
0.98856409873656281, 0.81171161518835877, 0.62205790570841402,
0.13903995589268614, 0.24317363346222531, 0.28691664626948732,
0.41529758456162613, 0.58102138159149475, 0.29511103490158153,
0.81032771243549684, 0.54664215124727655, 0.86806884248043081,
0.40148973967126578, 0.72785143234314909, 0.83093687762801249,
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0.18823074515724048]

        self.seed(x)
        self.gauss_next = None

    def seed(self, a=None):
        """Initialize internal state."""
        if a is None:
            a = 1
        self.index = a % self.period
        super(random.Random, self).seed(a)
        self.gauss_next = None

    def getstate(self):
        """Return internal state; can be passed to setstate() later."""
        gs = list(random.Random.getstate(self)[1])
        gs.append(self.index)
        return -1, tuple(gs), self.gauss_next

    def setstate(self, state):
        """Restore internal state from object returned by getstate()."""
        version = state[0]
        if version == -1:
            version, internalstate, self.gauss_next = state
            l_is = list(internalstate)
            self.index = l_is.pop(-1)
            t = (random.Random.VERSION, tuple(l_is), self.gauss_next)
            random.Random.setstate(self, t)
        else:
            raise ValueError("state with version %s passed to "
                             "random.Random.setstate() of version %s" %
                             (version, -1))
    def jumpahead(self, n):
        self.index = (self.index + n) % self.period
    def random(self):
        r = self.rand_nums[self.index]
        self.index += 1
        if self.index >= self.period:
            self.index = 0
        #_LOG.debug("Repeatedrandom.Random returning %f" % r)
        return r