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• FastMathLiteralArrays.java

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org.apache.commons.math4.util.FastMathLiteralArrays Maven / Gradle / Ivy

/*
 * Licensed to the Apache Software Foundation (ASF) under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * The ASF licenses this file to You under the Apache License, Version 2.0
 * (the "License"); you may not use this file except in compliance with
 * the License.  You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

package org.apache.commons.math4.util;

/**
 * Utility class for loading tabulated data used by {@link FastMath}.
 *
 */
class FastMathLiteralArrays {
    /** Exponential evaluated at integer values,
     * exp(x) =  expIntTableA[x + EXP_INT_TABLE_MAX_INDEX] + expIntTableB[x+EXP_INT_TABLE_MAX_INDEX].
     */
    private static final double[] EXP_INT_A = new double[] {
        +0.0d,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
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        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
        Double.NaN,
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        Double.NaN,
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        Double.NaN,
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        Double.NaN,
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        Double.NaN,
        Double.NaN,
        Double.NaN,
    };

    /** Exponential evaluated at integer values,
     * exp(x) =  expIntTableA[x + EXP_INT_TABLE_MAX_INDEX] + expIntTableB[x+EXP_INT_TABLE_MAX_INDEX]
     */
    private static final double[] EXP_INT_B = new double[] {
        +0.0d,
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        Double.NaN,
        Double.NaN,
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        Double.NaN,
        Double.NaN,
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        Double.NaN,
    };


    /** Exponential over the range of 0 - 1 in increments of 2^-10
     * exp(x/1024) =  expFracTableA[x] + expFracTableB[x].
     * 1024 = 2^10
     */
    private static final double[] EXP_FRAC_A = new double[] {
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    /** Exponential over the range of 0 - 1 in increments of 2^-10
     * exp(x/1024) =  expFracTableA[x] + expFracTableB[x].
     */
    private static final double[] EXP_FRAC_B = new double[] {
      +0.0d,
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      +4.57490653163866E-8d,
      +1.2829599363166098E-7d,
      +1.985773325073412E-7d,
      -2.1792661654989742E-7d,
      -1.652218131743459E-7d,
      -1.178234251477505E-7d,
      -7.34071933723896E-8d,
      -2.9646587857612632E-8d,
      +1.5787194498912167E-8d,
      +6.52252321321176E-8d,
      +1.2100088103262734E-7d,
      +1.8544977697201776E-7d,
      -2.159273204728711E-7d,
      -1.2711589287782304E-7d,
      -2.2610609958205195E-8d,
      +9.993330547750349E-8d,
      -2.33974236642384E-7d,
      -6.830955860192377E-8d,
      +1.2244183812423448E-7d,
      -1.3620325027706252E-7d,
      +1.1178574689680927E-7d,
      -8.490693031052439E-8d,
      +2.2975389535985893E-7d,
      +1.0445707500867073E-7d,
      +1.8405243253979117E-8d,
      -2.6033812325397097E-8d,
      -2.6489990728664908E-8d,
      +1.9409124727247465E-8d,
      +1.1403826867020365E-7d,
      -2.1706266226554237E-7d,
      -1.7839974359909697E-8d,
      +2.3725087624341041E-7d,
      +7.37567604176979E-8d,
      -2.9098805266958403E-8d,
      -6.892713087722722E-8d,
      -4.333719263537725E-8d,
      +5.006436936098099E-8d,
      +2.1367325342138113E-7d,
      -2.6949659655907758E-8d,
      -1.9256682968755803E-7d,
      +1.960616287777496E-7d,
      +1.876664741413704E-7d,
      -2.1534486893602122E-7d,
      -5.688830723853217E-8d,
      +1.8861113228746644E-7d,
      +4.6730779443102234E-8d,
      -3.275360514112964E-9d,
      +4.1011920825226876E-8d,
      +1.820141955326842E-7d,
      -5.468175655175594E-8d,
      -1.8981247089866317E-7d,
      -2.209492705846306E-7d,
      -1.4566110577298295E-7d,
      +3.848544860465368E-8d,
      -1.429109630340783E-7d,
      -2.105749999899302E-7d,
      -1.6206609756618993E-7d,
      +5.058693461947143E-9d,
      -1.8359244902596882E-7d,
      +2.2810251664891242E-7d,
      -1.8791776732592608E-7d,
      +1.3106843166204263E-9d,
      -1.5543153797220025E-7d,
      -1.7884997059081524E-7d,
      -6.648490725635754E-8d,
      +1.8412576154421806E-7d,
      +9.860939269906055E-8d,
      +1.5627006743114285E-7d,
      -1.17260039161597E-7d,
      +2.3416513526430908E-7d,
      -2.1749172296989992E-7d,
      -3.9242560971295217E-8d,
      -1.822826971477839E-7d,
      -1.6729355321895212E-7d,
      +8.208715337901827E-9d,
      -1.301267783434537E-7d,
      -1.029741755377153E-7d,
      +9.215765583599035E-8d,
      -1.907487641016455E-8d,
      +4.2661388254716074E-8d,
      -1.9697226735187428E-7d,
      +2.1819935527247946E-7d,
      -1.398318929248588E-7d,
      +1.6195123407015624E-7d,
      +1.723826394935661E-7d,
      -1.0602700638269148E-7d,
      -1.9392742205954563E-7d,
      -8.880302882034106E-8d,
      +2.1186420987133E-7d,
      +2.3375763256988976E-7d,
      -2.0599801342241997E-8d,
      -7.184550924856607E-8d,
      +8.254840070367875E-8d,
    };

    /** Extended precision logarithm table over the range 1 - 2 in increments of 2^-10. */
    private static final double[][] LN_MANT = new double[][] {
      {+0.0d,                   +0.0d,                   }, // 0
      {+9.760860120877624E-4d,  -3.903230345984362E-11d, }, // 1
      {+0.0019512202125042677d, -8.124251825289188E-11d, }, // 2
      {+0.0029254043474793434d, -1.8374207360194882E-11d,}, // 3
      {+0.0038986406289041042d, -2.1324678121885073E-10d,}, // 4
      {+0.004870930686593056d,  -4.5199654318611534E-10d,}, // 5
      {+0.00584227591753006d,   -2.933016992001806E-10d, }, // 6
      {+0.006812678650021553d,  -2.325147219074669E-10d, }, // 7
      {+0.007782140746712685d,  -3.046577356838847E-10d, }, // 8
      {+0.008750664070248604d,  -5.500631513861575E-10d, }, // 9
      {+0.00971824862062931d,   +8.48292035519895E-10d,  }, // 10
      {+0.010684899985790253d,  +1.1422610134013436E-10d,}, // 11
      {+0.01165061630308628d,   +9.168889933128375E-10d, }, // 12
      {+0.012615403160452843d,  -5.303786078838E-10d,    }, // 13
      {+0.013579258695244789d,  -5.688639355498786E-10d, }, // 14
      {+0.01454218477010727d,   +7.296670293275653E-10d, }, // 15
      {+0.015504186972975731d,  -4.370104767451421E-10d, }, // 16
      {+0.016465261578559875d,  +1.43695591408832E-9d,   }, // 17
      {+0.01742541790008545d,   -1.1862263158849434E-9d, }, // 18
      {+0.018384650349617004d,  -9.482976524690715E-10d, }, // 19
      {+0.01934296265244484d,   +1.9068609515836638E-10d,}, // 20
      {+0.020300358533859253d,  +2.655990315697216E-10d, }, // 21
      {+0.021256837993860245d,  +1.0315548713040775E-9d, }, // 22
      {+0.022212404757738113d,  +5.13345647019085E-10d,  }, // 23
      {+0.02316705882549286d,   +4.5604151934208014E-10d,}, // 24
      {+0.02412080392241478d,   -1.1255706987475148E-9d, }, // 25
      {+0.025073636323213577d,  +1.2289023836765196E-9d, }, // 26
      {+0.02602556347846985d,   +1.7990281828096504E-9d, }, // 27
      {+0.026976589113473892d,  -1.4152718164638451E-9d, }, // 28
      {+0.02792670577764511d,   +7.568772963781632E-10d, }, // 29
      {+0.0288759246468544d,    -1.1449998592111558E-9d, }, // 30
      {+0.029824241995811462d,  -1.6850976862319495E-9d, }, // 31
      {+0.030771657824516296d,  +8.422373919843096E-10d, }, // 32
      {+0.0317181795835495d,    +6.872350402175489E-10d, }, // 33
      {+0.03266380727291107d,   -4.541194749189272E-10d, }, // 34
      {+0.03360854089260101d,   -8.9064764856495E-10d,   }, // 35
      {+0.034552380442619324d,  +1.0640404096769032E-9d, }, // 36
      {+0.0354953333735466d,    -3.5901655945224663E-10d,}, // 37
      {+0.03643739968538284d,   -3.4829517943661266E-9d, }, // 38
      {+0.037378571927547455d,  +8.149473794244232E-10d, }, // 39
      {+0.03831886500120163d,   -6.990650304449166E-10d, }, // 40
      {+0.03925827145576477d,   +1.0883076226453258E-9d, }, // 41
      {+0.040196798741817474d,  +3.845192807999274E-10d, }, // 42
      {+0.04113444685935974d,   -1.1570594692045927E-9d, }, // 43
      {+0.04207121580839157d,   -1.8877045166697178E-9d, }, // 44
      {+0.043007105588912964d,  -1.6332083257987747E-10d,}, // 45
      {+0.04394212365150452d,   -1.7950057534514933E-9d, }, // 46
      {+0.04487626254558563d,   +2.302710041648838E-9d,  }, // 47
      {+0.045809537172317505d,  -1.1410233017161343E-9d, }, // 48
      {+0.04674194008111954d,   -3.0498741599744685E-9d, }, // 49
      {+0.04767347127199173d,   -1.8026348269183678E-9d, }, // 50
      {+0.04860413819551468d,   -3.233204600453039E-9d,  }, // 51
      {+0.04953393340110779d,   +1.7211688427961583E-9d, }, // 52
      {+0.05046287178993225d,   -2.329967807055457E-10d, }, // 53
      {+0.05139094591140747d,   -4.191810118556531E-11d, }, // 54
      {+0.052318163216114044d,  -3.5574324788328143E-9d, }, // 55
      {+0.053244516253471375d,  -1.7346590916458485E-9d, }, // 56
      {+0.05417001247406006d,   -4.343048751383674E-10d, }, // 57
      {+0.055094651877880096d,  +1.92909364037955E-9d,   }, // 58
      {+0.056018441915512085d,  -5.139745677199588E-10d, }, // 59
      {+0.05694137513637543d,   +1.2637629975129189E-9d, }, // 60
      {+0.05786345899105072d,   +1.3840561112481119E-9d, }, // 61
      {+0.058784693479537964d,  +1.414889689612056E-9d,  }, // 62
      {+0.05970507860183716d,   +2.9199191907666474E-9d, }, // 63
      {+0.0606246218085289d,    +7.90594243412116E-12d,  }, // 64
      {+0.06154331564903259d,   +1.6844747839686189E-9d, }, // 65
      {+0.06246116757392883d,   +2.0498074572151747E-9d, }, // 66
      {+0.06337818503379822d,   -4.800180493433863E-9d,  }, // 67
      {+0.06429435312747955d,   -2.4220822960064277E-9d, }, // 68
      {+0.06520968675613403d,   -4.179048566709334E-9d,  }, // 69
      {+0.06612417101860046d,   +6.363872957010456E-9d,  }, // 70
      {+0.06703783571720123d,   +9.339468680056365E-10d, }, // 71
      {+0.06795066595077515d,   -4.04226739708981E-9d,   }, // 72
      {+0.0688626617193222d,    -7.043545052852817E-9d,  }, // 73
      {+0.06977382302284241d,   -6.552819560439773E-9d,  }, // 74
      {+0.07068414986133575d,   -1.0571674860370546E-9d, }, // 75
      {+0.07159365713596344d,   -3.948954622015801E-9d,  }, // 76
      {+0.07250232994556427d,   +1.1776625988228244E-9d, }, // 77
      {+0.07341018319129944d,   +9.221072639606492E-10d, }, // 78
      {+0.07431721687316895d,   -3.219119568928366E-9d,  }, // 79
      {+0.0752234160900116d,    +5.147575929018918E-9d,  }, // 80
      {+0.07612881064414978d,   -2.291749683541979E-9d,  }, // 81
      {+0.07703337073326111d,   +5.749565906124772E-9d,  }, // 82
      {+0.07793712615966797d,   +9.495158151301779E-10d, }, // 83
      {+0.07884006202220917d,   -3.144331429489291E-10d, }, // 84
      {+0.0797421783208847d,    +3.430029236134205E-9d,  }, // 85
      {+0.08064348995685577d,   -1.2499290483167703E-9d, }, // 86
      {+0.08154398202896118d,   +2.011215719133196E-9d,  }, // 87
      {+0.08244366943836212d,   -2.2728753031387152E-10d,}, // 88
      {+0.0833425521850586d,    -6.508966857277253E-9d,  }, // 89
      {+0.0842406153678894d,    -4.801131671405377E-10d, }, // 90
      {+0.08513787388801575d,   +4.406750291994231E-9d,  }, // 91
      {+0.08603434264659882d,   -5.304795662536171E-9d,  }, // 92
      {+0.08692999184131622d,   +1.6284313912612293E-9d, }, // 93
      {+0.08782485127449036d,   -3.158898981674071E-9d,  }, // 94
      {+0.08871890604496002d,   -3.3324878834139977E-9d, }, // 95
      {+0.08961215615272522d,   +2.536961912893389E-9d,  }, // 96
      {+0.09050461649894714d,   +9.737596728980696E-10d, }, // 97
      {+0.0913962870836258d,    -6.600437262505396E-9d,  }, // 98
      {+0.09228715300559998d,   -3.866609889222889E-9d,  }, // 99
      {+0.09317722916603088d,   -4.311847594020281E-9d,  }, // 100
      {+0.09406651556491852d,   -6.525851105645959E-9d,  }, // 101
      {+0.09495499730110168d,   +5.799080912675435E-9d,  }, // 102
      {+0.09584270417690277d,   +4.2634204358490415E-9d, }, // 103
      {+0.09672962129116058d,   +5.167390528799477E-9d,  }, // 104
      {+0.09761576354503632d,   -4.994827392841906E-9d,  }, // 105
      {+0.09850110113620758d,   +4.970725577861395E-9d,  }, // 106
      {+0.09938566386699677d,   +6.6496705953229645E-9d, }, // 107
      {+0.10026945173740387d,   +1.4262712796792241E-9d, }, // 108
      {+0.1011524498462677d,    +5.5822855204629114E-9d, }, // 109
      {+0.10203467309474945d,   +5.593494835247651E-9d,  }, // 110
      {+0.10291612148284912d,   +2.8332008343480686E-9d, }, // 111
      {+0.10379679501056671d,   -1.3289231465997192E-9d, }, // 112
      {+0.10467669367790222d,   -5.526819276639527E-9d,  }, // 113
      {+0.10555580258369446d,   +6.503128678219282E-9d,  }, // 114
      {+0.10643415153026581d,   +6.317463237641817E-9d,  }, // 115
      {+0.10731174051761627d,   -4.728528221305482E-9d,  }, // 116
      {+0.10818853974342346d,   +4.519199083083901E-9d,  }, // 117
      {+0.10906457901000977d,   +5.606492666349878E-9d,  }, // 118
      {+0.10993985831737518d,   -1.220176214398581E-10d, }, // 119
      {+0.11081436276435852d,   +3.5759315936869937E-9d, }, // 120
      {+0.11168810725212097d,   +3.1367659571899855E-9d, }, // 121
      {+0.11256109178066254d,   -1.0543075713098835E-10d,}, // 122
      {+0.11343331634998322d,   -4.820065619207094E-9d,  }, // 123
      {+0.11430476605892181d,   +5.221136819669415E-9d,  }, // 124
      {+0.11517547070980072d,   +1.5395018670011342E-9d, }, // 125
      {+0.11604541540145874d,   +3.5638391501880846E-10d,}, // 126
      {+0.11691460013389587d,   +2.9885336757136527E-9d, }, // 127
      {+0.11778303980827332d,   -4.151889860890893E-9d,  }, // 128
      {+0.11865071952342987d,   -4.853823938804204E-9d,  }, // 129
      {+0.11951763927936554d,   +2.189226237170704E-9d,  }, // 130
      {+0.12038381397724152d,   +3.3791993048776982E-9d, }, // 131
      {+0.1212492436170578d,    +1.5811884868243975E-11d,}, // 132
      {+0.12211392819881439d,   -6.6045909118908625E-9d, }, // 133
      {+0.1229778528213501d,    -2.8786263916116364E-10d,}, // 134
      {+0.12384103238582611d,   +5.354472503748251E-9d,  }, // 135
      {+0.12470348179340363d,   -3.2924463896248744E-9d, }, // 136
      {+0.12556517124176025d,   +4.856678149580005E-9d,  }, // 137
      {+0.12642613053321838d,   +1.2791850600366742E-9d, }, // 138
      {+0.12728634476661682d,   +2.1525945093362843E-9d, }, // 139
      {+0.12814581394195557d,   +8.749974471767862E-9d,  }, // 140
      {+0.129004567861557d,     -7.461209161105275E-9d,  }, // 141
      {+0.12986254692077637d,   +1.4390208226263824E-8d, }, // 142
      {+0.1307198405265808d,    -1.3839477920475328E-8d, }, // 143
      {+0.13157635927200317d,   -1.483283901239408E-9d,  }, // 144
      {+0.13243216276168823d,   -6.889072914229094E-9d,  }, // 145
      {+0.1332872211933136d,    +9.990351100568362E-10d, }, // 146
      {+0.13414156436920166d,   -6.370937412495338E-9d,  }, // 147
      {+0.13499516248703003d,   +2.05047480130511E-9d,   }, // 148
      {+0.1358480453491211d,    -2.29509872547079E-9d,   }, // 149
      {+0.13670018315315247d,   +1.16354361977249E-8d,   }, // 150
      {+0.13755163550376892d,   -1.452496267904829E-8d,  }, // 151
      {+0.1384023129940033d,    +9.865115839786888E-9d,  }, // 152
      {+0.13925230503082275d,   -3.369999130712228E-9d,  }, // 153
      {+0.14010155200958252d,   +6.602496401651853E-9d,  }, // 154
      {+0.14095008373260498d,   +1.1205312852298845E-8d, }, // 155
      {+0.14179790019989014d,   +1.1660367213160203E-8d, }, // 156
      {+0.142645001411438d,     +9.186471222585239E-9d,  }, // 157
      {+0.14349138736724854d,   +4.999341878263704E-9d,  }, // 158
      {+0.14433705806732178d,   +3.11611905696257E-10d,  }, // 159
      {+0.14518201351165771d,   -3.6671598175618173E-9d, }, // 160
      {+0.14602625370025635d,   -5.730477881659618E-9d,  }, // 161
      {+0.14686977863311768d,   -4.674900007989718E-9d,  }, // 162
      {+0.1477125883102417d,    +6.999732437141968E-10d, }, // 163
      {+0.14855468273162842d,   +1.159150872494107E-8d,  }, // 164
      {+0.14939609169960022d,   -6.082714828488485E-10d, }, // 165
      {+0.15023678541183472d,   -4.905712741596318E-9d,  }, // 166
      {+0.1510767638683319d,    -1.124848988733307E-10d, }, // 167
      {+0.15191605687141418d,   -1.484557220949851E-8d,  }, // 168
      {+0.15275460481643677d,   +1.1682026251371384E-8d, }, // 169
      {+0.15359249711036682d,   -8.757272519238786E-9d,  }, // 170
      {+0.15442964434623718d,   +1.4419920764774415E-8d, }, // 171
      {+0.15526613593101501d,   -7.019891063126053E-9d,  }, // 172
      {+0.15610191226005554d,   -1.230153548825964E-8d,  }, // 173
      {+0.15693697333335876d,   -2.574172005933276E-10d, }, // 174
      {+0.15777134895324707d,   +4.748140799544371E-10d, }, // 175
      {+0.15860503911972046d,   -8.943081874891003E-9d,  }, // 176
      {+0.15943801403045654d,   +2.4500739038517657E-9d, }, // 177
      {+0.1602703034877777d,    +6.007922084557054E-9d,  }, // 178
      {+0.16110190749168396d,   +2.8835418231126645E-9d, }, // 179
      {+0.1619328260421753d,    -5.772862039728412E-9d,  }, // 180
      {+0.16276302933692932d,   +1.0988372954605789E-8d, }, // 181
      {+0.16359257698059082d,   -5.292913162607026E-9d,  }, // 182
      {+0.16442140936851501d,   +6.12956339275823E-9d,   }, // 183
      {+0.16524958610534668d,   -1.3210039516811888E-8d, }, // 184
      {+0.16607704758644104d,   -2.5711014608334873E-9d, }, // 185
      {+0.16690382361412048d,   +9.37721319457112E-9d,   }, // 186
      {+0.1677299439907074d,    -6.0370682395944045E-9d, }, // 187
      {+0.168555349111557d,     +1.1918249660105651E-8d, }, // 188
      {+0.1693800985813141d,    +4.763282949656017E-9d,  }, // 189
      {+0.17020416259765625d,   +3.4223342273948817E-9d, }, // 190
      {+0.1710275411605835d,    +9.014612241310916E-9d,  }, // 191
      {+0.1718502640724182d,    -7.145758990550526E-9d,  }, // 192
      {+0.172672301530838d,     -1.4142763934081504E-8d, }, // 193
      {+0.1734936535358429d,    -1.0865453656579032E-8d, }, // 194
      {+0.17431432008743286d,   +3.794385569450774E-9d,  }, // 195
      {+0.1751343309879303d,    +1.1399188501627291E-9d, }, // 196
      {+0.17595365643501282d,   +1.2076238768270153E-8d, }, // 197
      {+0.1767723262310028d,    +7.901084730502162E-9d,  }, // 198
      {+0.17759034037590027d,   -1.0288181007465474E-8d, }, // 199
      {+0.1784076690673828d,    -1.15945645153806E-8d,   }, // 200
      {+0.17922431230545044d,   +5.073923825786778E-9d,  }, // 201
      {+0.18004029989242554d,   +1.1004278077575267E-8d, }, // 202
      {+0.1808556318283081d,    +7.2831502374676964E-9d, }, // 203
      {+0.18167030811309814d,   -5.0054634662706464E-9d, }, // 204
      {+0.18248429894447327d,   +5.022108460298934E-9d,  }, // 205
      {+0.18329763412475586d,   +8.642254225732676E-9d,  }, // 206
      {+0.18411031365394592d,   +6.931054493326395E-9d,  }, // 207
      {+0.18492233753204346d,   +9.619685356326533E-10d, }, // 208
      {+0.18573370575904846d,   -8.194157257980706E-9d,  }, // 209
      {+0.18654438853263855d,   +1.0333241479437797E-8d, }, // 210
      {+0.1873544454574585d,    -1.9948340196027965E-9d, }, // 211
      {+0.1881638467311859d,    -1.4313002926259948E-8d, }, // 212
      {+0.1889725625514984d,    +4.241536392174967E-9d,  }, // 213
      {+0.18978065252304077d,   -4.877952454011428E-9d,  }, // 214
      {+0.1905880868434906d,    -1.0813801247641613E-8d, }, // 215
      {+0.1913948655128479d,    -1.2513218445781325E-8d, }, // 216
      {+0.19220098853111267d,   -8.925958555729115E-9d,  }, // 217
      {+0.1930064558982849d,    +9.956860681280245E-10d, }, // 218
      {+0.193811297416687d,     -1.1505428993246996E-8d, }, // 219
      {+0.1946154534816742d,    +1.4217997464522202E-8d, }, // 220
      {+0.19541901350021362d,   -1.0200858727747717E-8d, }, // 221
      {+0.19622188806533813d,   +5.682607223902455E-9d,  }, // 222
      {+0.1970241367816925d,    +3.2988908516009827E-9d, }, // 223
      {+0.19782572984695435d,   +1.3482965534659446E-8d, }, // 224
      {+0.19862669706344604d,   +7.462678536479685E-9d,  }, // 225
      {+0.1994270384311676d,    -1.3734273888891115E-8d, }, // 226
      {+0.20022669434547424d,   +1.0521983802642893E-8d, }, // 227
      {+0.20102575421333313d,   -8.152742388541905E-9d,  }, // 228
      {+0.2018241584300995d,    -9.133484280193855E-9d,  }, // 229
      {+0.20262190699577332d,   +8.59763959528144E-9d,   }, // 230
      {+0.2034190595149994d,    -1.3548568223001414E-8d, }, // 231
      {+0.20421552658081055d,   +1.4847880344628818E-8d, }, // 232
      {+0.20501139760017395d,   +5.390620378060543E-9d,  }, // 233
      {+0.2058066427707672d,    -1.1109834472051523E-8d, }, // 234
      {+0.20660123229026794d,   -3.845373872038116E-9d,  }, // 235
      {+0.20739519596099854d,   -1.6149279479975042E-9d, }, // 236
      {+0.20818853378295898d,   -3.4174925203771133E-9d, }, // 237
      {+0.2089812457561493d,    -8.254443919468538E-9d,  }, // 238
      {+0.20977330207824707d,   +1.4672790944499144E-8d, }, // 239
      {+0.2105647623538971d,    +6.753452542942992E-9d,  }, // 240
      {+0.21135559678077698d,   -1.218609462241927E-9d,  }, // 241
      {+0.21214580535888672d,   -8.254218316367887E-9d,  }, // 242
      {+0.21293538808822632d,   -1.3366540360587255E-8d, }, // 243
      {+0.2137243151664734d,    +1.4231244750190031E-8d, }, // 244
      {+0.2145126760005951d,    -1.3885660525939072E-8d, }, // 245
      {+0.21530038118362427d,   -7.3304404046850136E-9d, }, // 246
      {+0.2160874605178833d,    +5.072117654842356E-9d,  }, // 247
      {+0.21687394380569458d,   -5.505080220459036E-9d,  }, // 248
      {+0.21765980124473572d,   -8.286782292266659E-9d,  }, // 249
      {+0.2184450328350067d,    -2.302351152358085E-9d,  }, // 250
      {+0.21922963857650757d,   +1.3416565858314603E-8d, }, // 251
      {+0.22001364827156067d,   +1.0033721426962048E-8d, }, // 252
      {+0.22079706192016602d,   -1.1487079818684332E-8d, }, // 253
      {+0.22157981991767883d,   +9.420348186357043E-9d,  }, // 254
      {+0.2223619818687439d,    +1.4110645699377834E-8d, }, // 255
      {+0.2231435477733612d,    +3.5408485497116107E-9d, }, // 256
      {+0.22392448782920837d,   +8.468072777056227E-9d,  }, // 257
      {+0.2247048318386078d,    +4.255446699237779E-11d, }, // 258
      {+0.22548454999923706d,   +9.016946273084244E-9d,  }, // 259
      {+0.22626367211341858d,   +6.537034810260226E-9d,  }, // 260
      {+0.22704219818115234d,   -6.451285264969768E-9d,  }, // 261
      {+0.22782009840011597d,   +7.979956357126066E-10d, }, // 262
      {+0.22859740257263184d,   -5.759582672039005E-10d, }, // 263
      {+0.22937411069869995d,   -9.633854121180397E-9d,  }, // 264
      {+0.23015019297599792d,   +4.363736368635843E-9d,  }, // 265
      {+0.23092567920684814d,   +1.2549416560182509E-8d, }, // 266
      {+0.231700599193573d,     -1.3946383592553814E-8d, }, // 267
      {+0.2324748933315277d,    -1.458843364504023E-8d,  }, // 268
      {+0.23324856162071228d,   +1.1551692104697154E-8d, }, // 269
      {+0.23402166366577148d,   +5.795621295524984E-9d,  }, // 270
      {+0.23479416966438293d,   -1.1301979046684263E-9d, }, // 271
      {+0.23556607961654663d,   -8.303779721781787E-9d,  }, // 272
      {+0.23633739352226257d,   -1.4805271785394075E-8d, }, // 273
      {+0.23710808157920837d,   +1.0085373835899469E-8d, }, // 274
      {+0.2378782033920288d,    +7.679117635349454E-9d,  }, // 275
      {+0.2386477291584015d,    +8.69177352065934E-9d,   }, // 276
      {+0.23941665887832642d,   +1.4034725764547136E-8d, }, // 277
      {+0.24018502235412598d,   -5.185064518887831E-9d,  }, // 278
      {+0.2409527599811554d,    +1.1544236628121676E-8d, }, // 279
      {+0.24171993136405945d,   +5.523085719902123E-9d,  }, // 280
      {+0.24248650670051575d,   +7.456824943331887E-9d,  }, // 281
      {+0.24325251579284668d,   -1.1555923403029638E-8d, }, // 282
      {+0.24401789903640747d,   +8.988361382732908E-9d,  }, // 283
      {+0.2447827160358429d,    +1.0381848020926893E-8d, }, // 284
      {+0.24554696679115295d,   -6.480706118857055E-9d,  }, // 285
      {+0.24631062150001526d,   -1.0904271124793968E-8d, }, // 286
      {+0.2470736801624298d,    -1.998183061531611E-9d,  }, // 287
      {+0.247836172580719d,     -8.676137737360023E-9d,  }, // 288
      {+0.24859806895256042d,   -2.4921733203932487E-10d,}, // 289
      {+0.2493593990802765d,    -5.635173762130303E-9d,  }, // 290
      {+0.2501201629638672d,    -2.3951455355985637E-8d, }, // 291
      {+0.25088030099868774d,   +5.287121672447825E-9d,  }, // 292
      {+0.2516399025917053d,    -6.447877375049486E-9d,  }, // 293
      {+0.25239890813827515d,   +1.32472428796441E-9d,   }, // 294
      {+0.2531573176383972d,    +2.9479464287605006E-8d, }, // 295
      {+0.2539151906967163d,    +1.9284247135543574E-8d, }, // 296
      {+0.2546725273132324d,    -2.8390360197221716E-8d, }, // 297
      {+0.255429208278656d,     +6.533522495226226E-9d,  }, // 298
      {+0.2561853528022766d,    +5.713225978895991E-9d,  }, // 299
      {+0.25694090127944946d,   +2.9618050962556135E-8d, }, // 300
      {+0.25769591331481934d,   +1.950605015323617E-8d,  }, // 301
      {+0.25845038890838623d,   -2.3762031507525576E-8d, }, // 302
      {+0.2592042088508606d,    +1.98818938195077E-8d,   }, // 303
      {+0.25995755195617676d,   -2.751925069084042E-8d,  }, // 304
      {+0.2607102394104004d,    +1.3703391844683932E-8d, }, // 305
      {+0.26146239042282104d,   +2.5193525310038174E-8d, }, // 306
      {+0.2622140049934387d,    +7.802219817310385E-9d,  }, // 307
      {+0.26296502351760864d,   +2.1983272709242607E-8d, }, // 308
      {+0.2637155055999756d,    +8.979279989292184E-9d,  }, // 309
      {+0.2644653916358948d,    +2.9240221157844312E-8d, }, // 310
      {+0.265214741230011d,     +2.4004885823813374E-8d, }, // 311
      {+0.2659635543823242d,    -5.885186277410878E-9d,  }, // 312
      {+0.2667117714881897d,    +1.4300386517357162E-11d,}, // 313
      {+0.2674594521522522d,    -1.7063531531989365E-8d, }, // 314
      {+0.26820653676986694d,   +3.3218524692903896E-9d, }, // 315
      {+0.2689530849456787d,    +2.3998252479954764E-9d, }, // 316
      {+0.2696990966796875d,    -1.8997462070389404E-8d, }, // 317
      {+0.27044451236724854d,   -4.350745270980051E-10d, }, // 318
      {+0.2711893916130066d,    -6.892221115467135E-10d, }, // 319
      {+0.27193373441696167d,   -1.89333199110902E-8d,   }, // 320
      {+0.272677481174469d,     +5.262017392507765E-9d,  }, // 321
      {+0.27342069149017334d,   +1.3115046679980076E-8d, }, // 322
      {+0.2741633653640747d,    +5.4468361834451975E-9d, }, // 323
      {+0.2749055027961731d,    -1.692337384653611E-8d,  }, // 324
      {+0.27564704418182373d,   +6.426479056697412E-9d,  }, // 325
      {+0.2763880491256714d,    +1.670735065191342E-8d,  }, // 326
      {+0.27712851762771606d,   +1.4733029698334834E-8d, }, // 327
      {+0.27786844968795776d,   +1.315498542514467E-9d,  }, // 328
      {+0.2786078453063965d,    -2.2735061539223372E-8d, }, // 329
      {+0.27934664487838745d,   +2.994379757313727E-9d,  }, // 330
      {+0.28008490800857544d,   +1.970577274107218E-8d,  }, // 331
      {+0.28082263469696045d,   +2.820392733542077E-8d,  }, // 332
      {+0.2815598249435425d,    +2.929187356678173E-8d,  }, // 333
      {+0.28229647874832153d,   +2.377086680926386E-8d,  }, // 334
      {+0.2830325961112976d,    +1.2440393009992529E-8d, }, // 335
      {+0.2837681770324707d,    -3.901826104778096E-9d,  }, // 336
      {+0.2845032215118408d,    -2.4459827842685974E-8d, }, // 337
      {+0.2852376699447632d,    +1.1165241398059789E-8d, }, // 338
      {+0.28597164154052734d,   -1.54434478239181E-8d,   }, // 339
      {+0.28670501708984375d,   +1.5714110564653245E-8d, }, // 340
      {+0.28743791580200195d,   -1.3782394940142479E-8d, }, // 341
      {+0.2881702184677124d,    +1.6063569876284005E-8d, }, // 342
      {+0.28890204429626465d,   -1.317176818216125E-8d,  }, // 343
      {+0.28963327407836914d,   +1.8504673536253893E-8d, }, // 344
      {+0.29036402702331543d,   -7.334319635123628E-9d,  }, // 345
      {+0.29109418392181396d,   +2.9300903540317107E-8d, }, // 346
      {+0.2918238639831543d,    +9.979706999541057E-9d,  }, // 347
      {+0.29255300760269165d,   -4.916314210412424E-9d,  }, // 348
      {+0.293281614780426d,     -1.4611908070155308E-8d, }, // 349
      {+0.2940096855163574d,    -1.833351586679361E-8d,  }, // 350
      {+0.29473721981048584d,   -1.530926726615185E-8d,  }, // 351
      {+0.2954642176628113d,    -4.7689754029101934E-9d, }, // 352
      {+0.29619067907333374d,   +1.4055868011423819E-8d, }, // 353
      {+0.296916663646698d,     -1.7672547212604003E-8d, }, // 354
      {+0.2976420521736145d,    +2.0020234215759705E-8d, }, // 355
      {+0.2983669638633728d,    +8.688424478730524E-9d,  }, // 356
      {+0.2990913391113281d,    +8.69851089918337E-9d,   }, // 357
      {+0.29981517791748047d,   +2.0810681643102672E-8d, }, // 358
      {+0.3005385398864746d,    -1.3821169493779352E-8d, }, // 359
      {+0.301261305809021d,     +2.4769140784919128E-8d, }, // 360
      {+0.3019835948944092d,    +1.8127576600610336E-8d, }, // 361
      {+0.3027053475379944d,    +2.6612401062437074E-8d, }, // 362
      {+0.3034266233444214d,    -8.629042891789934E-9d,  }, // 363
      {+0.3041473627090454d,    -2.724174869314043E-8d,  }, // 364
      {+0.30486756563186646d,   -2.8476975783775358E-8d, }, // 365
      {+0.3055872321128845d,    -1.1587600174449919E-8d, }, // 366
      {+0.3063063621520996d,    +2.417189020581056E-8d,  }, // 367
      {+0.3070250153541565d,    +1.99407553679345E-8d,   }, // 368
      {+0.3077431917190552d,    -2.35387025694381E-8d,   }, // 369
      {+0.3084607720375061d,    +1.3683509995845583E-8d, }, // 370
      {+0.30917787551879883d,   +1.3137214081023085E-8d, }, // 371
      {+0.30989450216293335d,   -2.444006866174775E-8d,  }, // 372
      {+0.3106105327606201d,    +2.0896888605749563E-8d, }, // 373
      {+0.31132614612579346d,   -2.893149098508887E-8d,  }, // 374
      {+0.31204116344451904d,   +5.621509038251498E-9d,  }, // 375
      {+0.3127557039260864d,    +6.0778104626050015E-9d, }, // 376
      {+0.3134697675704956d,    -2.6832941696716294E-8d, }, // 377
      {+0.31418323516845703d,   +2.6826625274495256E-8d, }, // 378
      {+0.31489628553390503d,   -1.1030897183911054E-8d, }, // 379
      {+0.31560879945755005d,   -2.047124671392676E-8d,  }, // 380
      {+0.3163207769393921d,    -7.709990443086711E-10d, }, // 381
      {+0.3170322775840759d,    -1.0812918808112342E-8d, }, // 382
      {+0.3177432417869568d,    +9.727979174888975E-9d,  }, // 383
      {+0.31845372915267944d,   +1.9658551724508715E-9d, }, // 384
      {+0.3191636800765991d,    +2.6222628001695826E-8d, }, // 385
      {+0.3198731541633606d,    +2.3609400272358744E-8d, }, // 386
      {+0.32058215141296387d,   -5.159602957634814E-9d,  }, // 387
      {+0.32129061222076416d,   +2.329701319016099E-10d, }, // 388
      {+0.32199859619140625d,   -1.910633190395738E-8d,  }, // 389
      {+0.32270604372024536d,   -2.863180390093667E-9d,  }, // 390
      {+0.32341301441192627d,   -9.934041364456825E-9d,  }, // 391
      {+0.3241194486618042d,    +1.999240777687192E-8d,  }, // 392
      {+0.3248254060745239d,    +2.801670341647724E-8d,  }, // 393
      {+0.32553088665008545d,   +1.4842534265191358E-8d, }, // 394
      {+0.32623589038848877d,   -1.882789920477354E-8d,  }, // 395
      {+0.3269403576850891d,    -1.268923579073577E-8d,  }, // 396
      {+0.32764434814453125d,   -2.564688370677835E-8d,  }, // 397
      {+0.3283478021621704d,    +2.6015626820520968E-9d, }, // 398
      {+0.32905077934265137d,   +1.3147747907784344E-8d, }, // 399
      {+0.3297532796859741d,    +6.686493860720675E-9d,  }, // 400
      {+0.33045530319213867d,   -1.608884086544153E-8d,  }, // 401
      {+0.33115679025650024d,   +5.118287907840204E-9d,  }, // 402
      {+0.3318578004837036d,    +1.139367970944884E-8d,  }, // 403
      {+0.3325583338737488d,    +3.426327822115399E-9d,  }, // 404
      {+0.33325839042663574d,   -1.809622142990733E-8d,  }, // 405
      {+0.3339579105377197d,    +7.116780143398601E-9d,  }, // 406
      {+0.3346569538116455d,    +2.0145352306345386E-8d, }, // 407
      {+0.3353555202484131d,    +2.167272474431968E-8d,  }, // 408
      {+0.33605360984802246d,   +1.2380696294966822E-8d, }, // 409
      {+0.33675122261047363d,   -7.050361059209181E-9d,  }, // 410
      {+0.3374482989311218d,    +2.366314656322868E-8d,  }, // 411
      {+0.3381449580192566d,    -1.4010540194086646E-8d, }, // 412
      {+0.3388410806655884d,    -1.860165465666482E-10d, }, // 413
      {+0.33953672647476196d,   +6.206776940880773E-9d,  }, // 414
      {+0.34023189544677734d,   +5.841137379010982E-9d,  }, // 415
      {+0.3409265875816345d,    -6.11041311179286E-10d,  }, // 416
      {+0.3416208028793335d,    -1.2479264502054702E-8d, }, // 417
      {+0.34231454133987427d,   -2.909443297645926E-8d,  }, // 418
      {+0.34300774335861206d,   +9.815805717097634E-9d,  }, // 419
      {+0.3437005281448364d,    -1.4291517981101049E-8d, }, // 420
      {+0.3443927764892578d,    +1.8457821628427503E-8d, }, // 421
      {+0.34508460760116577d,   -1.0481908869377813E-8d, }, // 422
      {+0.34577590227127075d,   +1.876076001514746E-8d,  }, // 423
      {+0.3464667797088623d,    -1.2362653723769037E-8d, }, // 424
      {+0.3471571207046509d,    +1.6016578405624026E-8d, }, // 425
      {+0.347847044467926d,     -1.4652759033760925E-8d, }, // 426
      {+0.3485364317893982d,    +1.549533655901835E-8d,  }, // 427
      {+0.34922540187835693d,   -1.2093068629412478E-8d, }, // 428
      {+0.3499138355255127d,    +2.244531711424792E-8d,  }, // 429
      {+0.35060185194015503d,   +5.538565518604807E-10d, }, // 430
      {+0.35128939151763916d,   -1.7511499366215853E-8d, }, // 431
      {+0.3519763946533203d,    +2.850385787215544E-8d,  }, // 432
      {+0.35266298055648804d,   +2.003926370146842E-8d,  }, // 433
      {+0.35334908962249756d,   +1.734665280502264E-8d,  }, // 434
      {+0.3540347218513489d,    +2.1071983674869414E-8d, }, // 435
      {+0.35471993684768677d,   -2.774475773922311E-8d,  }, // 436
      {+0.3554046154022217d,    -9.250975291734664E-9d,  }, // 437
      {+0.3560888171195984d,    +1.7590672330295415E-8d, }, // 438
      {+0.35677260160446167d,   -6.1837904549178745E-9d, }, // 439
      {+0.35745590925216675d,   -2.0330362973820856E-8d, }, // 440
      {+0.3581387400627136d,    -2.42109990366786E-8d,   }, // 441
      {+0.3588210940361023d,    -1.7188958587407816E-8d, }, // 442
      {+0.35950297117233276d,   +1.3711958590112228E-9d, }, // 443
      {+0.3601844310760498d,    -2.7501042008405925E-8d, }, // 444
      {+0.36086535453796387d,   +1.6036460343275798E-8d, }, // 445
      {+0.3615458607673645d,    +1.3405964389498495E-8d, }, // 446
      {+0.36222589015960693d,   +2.484237749027735E-8d,  }, // 447
      {+0.36290550231933594d,   -8.629967484362177E-9d,  }, // 448
      {+0.36358463764190674d,   -2.6778729562324134E-8d, }, // 449
      {+0.36426329612731934d,   -2.8977490516960565E-8d, }, // 450
      {+0.36494147777557373d,   -1.4601106624823502E-8d, }, // 451
      {+0.3656191825866699d,    +1.69742947894444E-8d,   }, // 452
      {+0.3662964701652527d,    +6.7666740211281175E-9d, }, // 453
      {+0.36697328090667725d,   +1.500201674336832E-8d,  }, // 454
      {+0.3676496744155884d,    -1.730424167425052E-8d,  }, // 455
      {+0.36832553148269653d,   +2.9676011119845104E-8d, }, // 456
      {+0.36900103092193604d,   -2.2253590346826743E-8d, }, // 457
      {+0.36967599391937256d,   +6.3372065441089185E-9d, }, // 458
      {+0.37035053968429565d,   -3.145816653215968E-9d,  }, // 459
      {+0.37102460861206055d,   +9.515812117036965E-9d,  }, // 460
      {+0.371698260307312d,     -1.4669965113042639E-8d, }, // 461
      {+0.3723714351654053d,    -1.548715389333397E-8d,  }, // 462
      {+0.37304413318634033d,   +7.674361647125109E-9d,  }, // 463
      {+0.37371641397476196d,   -4.181177882069608E-9d,  }, // 464
      {+0.3743882179260254d,    +9.158530500130718E-9d,  }, // 465
      {+0.3750596046447754d,    -1.13047236597869E-8d,   }, // 466
      {+0.3757305145263672d,    -5.36108186384227E-9d,   }, // 467
      {+0.3764009475708008d,    +2.7593452284747873E-8d, }, // 468
      {+0.37707096338272095d,   +2.8557016344085205E-8d, }, // 469
      {+0.3777405619621277d,    -1.868818164036E-9d,     }, // 470
      {+0.3784096837043762d,    -3.479042513414447E-9d,  }, // 471
      {+0.37907832860946655d,   +2.432550290565648E-8d,  }, // 472
      {+0.37974655628204346d,   +2.2538131805476768E-8d, }, // 473
      {+0.38041436672210693d,   -8.244395239939089E-9d,  }, // 474
      {+0.3810817003250122d,    -7.821867597227376E-9d,  }, // 475
      {+0.3817485570907593d,    +2.4400089062515914E-8d, }, // 476
      {+0.3824149966239929d,    +2.9410015940087773E-8d, }, // 477
      {+0.38308101892471313d,   +7.799913824734797E-9d,  }, // 478
      {+0.38374656438827515d,   +1.976524624939355E-8d,  }, // 479
      {+0.38441169261932373d,   +6.291008309266035E-9d,  }, // 480
      {+0.3850763440132141d,    +2.757030889767851E-8d,  }, // 481
      {+0.38574057817459106d,   +2.4585794728405612E-8d, }, // 482
      {+0.3864043951034546d,    -2.0764122246389383E-9d, }, // 483
      {+0.3870677351951599d,    +7.77328837578952E-9d,   }, // 484
      {+0.3877306580543518d,    -4.8859560029989374E-9d, }, // 485
      {+0.3883931040763855d,    +2.0133131420595028E-8d, }, // 486
      {+0.38905513286590576d,   +2.380738071335498E-8d,  }, // 487
      {+0.3897167444229126d,    +6.7171126157142075E-9d, }, // 488
      {+0.39037787914276123d,   +2.9046141593926277E-8d, }, // 489
      {+0.3910386562347412d,    -2.7836800219410262E-8d, }, // 490
      {+0.3916988968849182d,    +1.545909820981726E-8d,  }, // 491
      {+0.39235877990722656d,   -1.930436269002062E-8d,  }, // 492
      {+0.3930181860923767d,    -1.2343297554921835E-8d, }, // 493
      {+0.3936771750450134d,    -2.268889128622553E-8d,  }, // 494
      {+0.39433568716049194d,   +9.835827818608177E-9d,  }, // 495
      {+0.39499378204345703d,   +2.6197411946856397E-8d, }, // 496
      {+0.3956514596939087d,    +2.6965931069318893E-8d, }, // 497
      {+0.3963087201118469d,    +1.2710331127772166E-8d, }, // 498
      {+0.39696556329727173d,   -1.6001563011916016E-8d, }, // 499
      {+0.39762192964553833d,   +1.0016001590267064E-9d, }, // 500
      {+0.3982778787612915d,    +4.680767399874334E-9d,  }, // 501
      {+0.39893341064453125d,   -4.399582029272418E-9d,  }, // 502
      {+0.39958852529525757d,   -2.5676078228301587E-8d, }, // 503
      {+0.4002431631088257d,    +1.0181870233355787E-9d, }, // 504
      {+0.40089738368988037d,   +1.6639728835984655E-8d, }, // 505
      {+0.40155118703842163d,   +2.174860642202632E-8d,  }, // 506
      {+0.40220457315444946d,   +1.6903781197123503E-8d, }, // 507
      {+0.40285754203796387d,   +2.663119647467697E-9d,  }, // 508
      {+0.40351009368896484d,   -2.0416603812329616E-8d, }, // 509
      {+0.4041621685028076d,    +7.82494078472695E-9d,   }, // 510
      {+0.40481382608413696d,   +2.833770747113627E-8d,  }, // 511
      {+0.40546512603759766d,   -1.7929433274271985E-8d, }, // 512
      {+0.40611594915390015d,   -1.1214757379328965E-8d, }, // 513
      {+0.4067663550376892d,    -1.0571553019207106E-8d, }, // 514
      {+0.40741634368896484d,   -1.5449538712332313E-8d, }, // 515
      {+0.40806591510772705d,   -2.529950530235105E-8d,  }, // 516
      {+0.40871500968933105d,   +2.0031331601617008E-8d, }, // 517
      {+0.4093637466430664d,    +1.880755298741952E-9d,  }, // 518
      {+0.41001206636428833d,   -1.9600580584843318E-8d, }, // 519
      {+0.41065990924835205d,   +1.573691633515306E-8d,  }, // 520
      {+0.4113073945045471d,    -1.0772154376548336E-8d, }, // 521
      {+0.411954402923584d,     +2.0624330192486066E-8d, }, // 522
      {+0.4126010537147522d,    -8.741139170029572E-9d,  }, // 523
      {+0.4132472276687622d,    +2.0881457123894216E-8d, }, // 524
      {+0.41389304399490356d,   -9.177488027521808E-9d,  }, // 525
      {+0.4145383834838867d,    +2.0829952491625585E-8d, }, // 526
      {+0.4151833653450012d,    -7.767915492597301E-9d,  }, // 527
      {+0.4158278703689575d,    +2.4774753446082082E-8d, }, // 528
      {+0.41647201776504517d,   -2.1581119071750435E-10d,}, // 529
      {+0.4171157479286194d,    -2.260047972865202E-8d,  }, // 530
      {+0.4177590012550354d,    +1.775884601423381E-8d,  }, // 531
      {+0.41840189695358276d,   +2.185301053838889E-9d,  }, // 532
      {+0.4190443754196167d,    -9.185071463667081E-9d,  }, // 533
      {+0.4196864366531372d,    -1.5821896727910552E-8d, }, // 534
      {+0.4203280806541443d,    -1.719582086188318E-8d,  }, // 535
      {+0.42096930742263794d,   -1.2778508303324259E-8d, }, // 536
      {+0.42161011695861816d,   -2.042639194493364E-9d,  }, // 537
      {+0.42225050926208496d,   +1.5538093219698803E-8d, }, // 538
      {+0.4228905439376831d,    -1.9115659590156936E-8d, }, // 539
      {+0.42353010177612305d,   +1.3729680248843432E-8d, }, // 540
      {+0.42416930198669434d,   -4.611893838830296E-9d,  }, // 541
      {+0.4248080849647522d,    -1.4013456880651706E-8d, }, // 542
      {+0.42544645071029663d,   -1.3953728897042917E-8d, }, // 543
      {+0.42608439922332764d,   -3.912427573594197E-9d,  }, // 544
      {+0.4267219305038452d,    +1.6629734283189315E-8d, }, // 545
      {+0.42735910415649414d,   -1.1413593493354881E-8d, }, // 546
      {+0.42799586057662964d,   -2.792046157580119E-8d,  }, // 547
      {+0.42863214015960693d,   +2.723009182661306E-8d,  }, // 548
      {+0.42926812171936035d,   -2.4260535621557444E-8d, }, // 549
      {+0.42990362644195557d,   -3.064060124024764E-9d,  }, // 550
      {+0.43053877353668213d,   -2.787640178598121E-8d,  }, // 551
      {+0.4311734437942505d,    +2.102412085257792E-8d,  }, // 552
      {+0.4318077564239502d,    +2.4939635093999683E-8d, }, // 553
      {+0.43244171142578125d,   -1.5619414792273914E-8d, }, // 554
      {+0.4330751895904541d,    +1.9065734894871523E-8d, }, // 555
      {+0.4337083101272583d,    +1.0294301092654604E-8d, }, // 556
      {+0.4343410134315491d,    +1.8178469851136E-8d,    }, // 557
      {+0.4349733591079712d,    -1.6379825102473853E-8d, }, // 558
      {+0.4356052279472351d,    +2.6334323946685834E-8d, }, // 559
      {+0.43623673915863037d,   +2.761628769925529E-8d,  }, // 560
      {+0.436867892742157d,     -1.2030229087793677E-8d, }, // 561
      {+0.4374985694885254d,    +2.7106814809424793E-8d, }, // 562
      {+0.43812888860702515d,   +2.631993083235205E-8d,  }, // 563
      {+0.43875885009765625d,   -1.3890028312254422E-8d, }, // 564
      {+0.43938833475112915d,   +2.6186133735555794E-8d, }, // 565
      {+0.4400174617767334d,    +2.783809071694788E-8d,  }, // 566
      {+0.440646231174469d,     -8.436135220472006E-9d,  }, // 567
      {+0.44127458333969116d,   -2.2534815932619883E-8d, }, // 568
      {+0.4419025182723999d,    -1.3961804471714283E-8d, }, // 569
      {+0.4425300359725952d,    +1.7778112039716255E-8d, }, // 570
      {+0.4431571960449219d,    +1.3574569976673652E-8d, }, // 571
      {+0.4437839984893799d,    -2.607907890164073E-8d,  }, // 572
      {+0.4444103240966797d,    +1.8518879652136628E-8d, }, // 573
      {+0.44503629207611084d,   +2.865065604247164E-8d,  }, // 574
      {+0.44566190242767334d,   +4.806827797299427E-9d,  }, // 575
      {+0.4462870955467224d,    +7.0816970994232115E-9d, }, // 576
      {+0.44691193103790283d,   -2.3640641240074437E-8d, }, // 577
      {+0.4475363492965698d,    -2.7267718387865538E-8d, }, // 578
      {+0.4481603503227234d,    -3.3126235292976077E-9d, }, // 579
      {+0.4487839937210083d,    -1.0894001590268427E-8d, }, // 580
      {+0.4494072198867798d,    +1.0077883359971829E-8d, }, // 581
      {+0.4500300884246826d,    +4.825712712114668E-10d, }, // 582
      {+0.450652539730072d,     +2.0407987470746858E-8d, }, // 583
      {+0.4512746334075928d,    +1.073186581170719E-8d,  }, // 584
      {+0.4518963694572449d,    -2.8064314757880205E-8d, }, // 585
      {+0.45251762866973877d,   +2.3709316816226527E-8d, }, // 586
      {+0.4531385898590088d,    -1.2281487504266522E-8d, }, // 587
      {+0.4537591338157654d,    -1.634864487421458E-8d,  }, // 588
      {+0.45437926054000854d,   +1.1985747222409522E-8d, }, // 589
      {+0.45499902963638306d,   +1.3594057956219485E-8d, }, // 590
      {+0.4556184411048889d,    -1.1047585095328619E-8d, }, // 591
      {+0.45623743534088135d,   -1.8592937532754405E-9d, }, // 592
      {+0.4568560719490051d,    -1.797135137545755E-8d,  }, // 593
      {+0.4574742913246155d,    +6.943684261645378E-10d, }, // 594
      {+0.4580921530723572d,    -4.994175141684681E-9d,  }, // 595
      {+0.45870959758758545d,   +2.5039391215625133E-8d, }, // 596
      {+0.45932674407958984d,   -2.7943366835352838E-8d, }, // 597
      {+0.45994341373443604d,   +1.534146910128904E-8d,  }, // 598
      {+0.46055978536605835d,   -2.3450920230816267E-8d, }, // 599
      {+0.46117573976516724d,   -2.4642997069960124E-8d, }, // 600
      {+0.4617912769317627d,    +1.2232622070370946E-8d, }, // 601
      {+0.4624064564704895d,    +2.80378133047839E-8d,   }, // 602
      {+0.46302127838134766d,   +2.3238237048117092E-8d, }, // 603
      {+0.46363574266433716d,   -1.7013046451109475E-9d, }, // 604
      {+0.46424978971481323d,   +1.3287778803035383E-8d, }, // 605
      {+0.46486347913742065d,   +9.06393426961373E-9d,   }, // 606
      {+0.4654768109321594d,    -1.3910598647592876E-8d, }, // 607
      {+0.46608972549438477d,   +4.430214458933614E-9d,  }, // 608
      {+0.46670228242874146d,   +4.942270562885745E-9d,  }, // 609
      {+0.4673144817352295d,    -1.1914734393460718E-8d, }, // 610
      {+0.4679262638092041d,    +1.3922696570638494E-8d, }, // 611
      {+0.46853768825531006d,   +2.3307929211781914E-8d, }, // 612
      {+0.46914875507354736d,   +1.669813444584674E-8d,  }, // 613
      {+0.469759464263916d,     -5.450354376430758E-9d,  }, // 614
      {+0.47036975622177124d,   +1.6922605350647674E-8d, }, // 615
      {+0.4709796905517578d,    +2.4667033200046904E-8d, }, // 616
      {+0.47158926725387573d,   +1.8236762070433784E-8d, }, // 617
      {+0.472198486328125d,     -1.915204563140137E-9d,  }, // 618
      {+0.47280728816986084d,   +2.426795414605756E-8d,  }, // 619
      {+0.4734157919883728d,    -2.19717006713618E-8d,   }, // 620
      {+0.47402387857437134d,   -2.0974352165535873E-8d, }, // 621
      {+0.47463154792785645d,   +2.770970558184228E-8d,  }, // 622
      {+0.4752389192581177d,    +5.32006955298355E-9d,   }, // 623
      {+0.47584593296051025d,   -2.809054633964104E-8d,  }, // 624
      {+0.4764525294303894d,    -1.2470243596102937E-8d, }, // 625
      {+0.4770587682723999d,    -6.977226702440138E-9d,  }, // 626
      {+0.47766464948654175d,   -1.1165866833118273E-8d, }, // 627
      {+0.47827017307281494d,   -2.4591344661022708E-8d, }, // 628
      {+0.4788752794265747d,    +1.2794996377383974E-8d, }, // 629
      {+0.4794800877571106d,    -1.7772927065973874E-8d, }, // 630
      {+0.48008447885513306d,   +3.35657712457243E-9d,   }, // 631
      {+0.48068851232528687d,   +1.7020465042442242E-8d, }, // 632
      {+0.481292188167572d,     +2.365953779624783E-8d,  }, // 633
      {+0.4818955063819885d,    +2.3713798664443718E-8d, }, // 634
      {+0.4824984669685364d,    +1.7622455019548098E-8d, }, // 635
      {+0.4831010699272156d,    +5.823920246566496E-9d,  }, // 636
      {+0.4837033152580261d,    -1.1244184344361017E-8d, }, // 637
      {+0.48430514335632324d,   +2.645961716432205E-8d,  }, // 638
      {+0.4849066734313965d,    +1.6207809718247905E-10d,}, // 639
      {+0.4855077862739563d,    +2.9507744508973654E-8d, }, // 640
      {+0.48610860109329224d,   -4.278201128741098E-9d,  }, // 641
      {+0.48670899868011475d,   +1.844722015961139E-8d,  }, // 642
      {+0.4873090982437134d,    -2.1092372471088425E-8d, }, // 643
      {+0.4879087805747986d,    -3.2555596107382053E-9d, }, // 644
      {+0.48850810527801514d,   +1.2784366845429667E-8d, }, // 645
      {+0.48910707235336304d,   +2.7457984659996047E-8d, }, // 646
      {+0.48970574140548706d,   -1.8409546441412518E-8d, }, // 647
      {+0.49030399322509766d,   -5.179903818099661E-9d,  }, // 648
      {+0.4909018874168396d,    +7.97053127828682E-9d,   }, // 649
      {+0.4914994239807129d,    +2.146925464473481E-8d,  }, // 650
      {+0.4920966625213623d,    -2.3861648589988232E-8d, }, // 651
      {+0.4926934838294983d,    -8.386923035320549E-9d,  }, // 652
      {+0.4932899475097656d,    +8.713990131749256E-9d,  }, // 653
      {+0.4938860535621643d,    +2.7865534085810115E-8d, }, // 654
      {+0.4944818615913391d,    -1.011325138560159E-8d,  }, // 655
      {+0.4950772523880005d,    +1.4409851026316708E-8d, }, // 656
      {+0.495672345161438d,     -1.735227547472004E-8d,  }, // 657
      {+0.49626702070236206d,   +1.4231078209064581E-8d, }, // 658
      {+0.49686139822006226d,   -9.628709342929729E-9d,  }, // 659
      {+0.4974554181098938d,    -2.8907074856577267E-8d, }, // 660
      {+0.4980490207672119d,    +1.6419797090870802E-8d, }, // 661
      {+0.49864232540130615d,   +7.561041519403049E-9d,  }, // 662
      {+0.49923527240753174d,   +4.538983468118194E-9d,  }, // 663
      {+0.49982786178588867d,   +7.770560657946324E-9d,  }, // 664
      {+0.500420093536377d,     +1.767197002609876E-8d,  }, // 665
      {+0.5010119676589966d,    +3.46586694799214E-8d,   }, // 666
      {+0.5016034841537476d,    +5.914537964556077E-8d,  }, // 667
      {+0.5021947622299194d,    -2.7663203939320167E-8d, }, // 668
      {+0.5027855634689331d,    +1.3064749115929298E-8d, }, // 669
      {+0.5033761262893677d,    -5.667682106730711E-8d,  }, // 670
      {+0.503966212272644d,     +1.9424534974370594E-9d, }, // 671
      {+0.5045560598373413d,    -4.908494602153544E-8d,  }, // 672
      {+0.5051454305648804d,    +2.906989285008994E-8d,  }, // 673
      {+0.5057345628738403d,    -1.602000800745108E-9d,  }, // 674
      {+0.5063233375549316d,    -2.148245271118002E-8d,  }, // 675
      {+0.5069117546081543d,    -3.016329994276181E-8d,  }, // 676
      {+0.5074998140335083d,    -2.7237099632871992E-8d, }, // 677
      {+0.5080875158309937d,    -1.2297127301923986E-8d, }, // 678
      {+0.5086748600006104d,    +1.5062624834468093E-8d, }, // 679
      {+0.5092618465423584d,    +5.524744954836658E-8d,  }, // 680
      {+0.5098485946655273d,    -1.054736327333046E-8d,  }, // 681
      {+0.5104348659515381d,    +5.650063324725722E-8d,  }, // 682
      {+0.5110208988189697d,    +1.8376017791642605E-8d, }, // 683
      {+0.5116065740585327d,    -5.309470636324855E-9d,  }, // 684
      {+0.512191891670227d,     -1.4154089255217218E-8d, }, // 685
      {+0.5127768516540527d,    -7.756800301729815E-9d,  }, // 686
      {+0.5133614540100098d,    +1.4282730618002001E-8d, }, // 687
      {+0.5139456987380981d,    +5.2364136172269755E-8d, }, // 688
      {+0.5145297050476074d,    -1.2322940607922115E-8d, }, // 689
      {+0.5151132345199585d,    +5.903831350855322E-8d,  }, // 690
      {+0.5156965255737305d,    +2.8426856726994483E-8d, }, // 691
      {+0.5162794589996338d,    +1.544882070711032E-8d,  }, // 692
      {+0.5168620347976685d,    +2.0500353979930155E-8d, }, // 693
      {+0.5174442529678345d,    +4.397691311390564E-8d,  }, // 694
      {+0.5180262327194214d,    -3.2936025225250634E-8d, }, // 695
      {+0.5186077356338501d,    +2.857419553449673E-8d,  }, // 696
      {+0.5191890001296997d,    -9.51761338269325E-9d,   }, // 697
      {+0.5197699069976807d,    -2.7609457648450225E-8d, }, // 698
      {+0.520350456237793d,     -2.5309316441333305E-8d, }, // 699
      {+0.5209306478500366d,    -2.2258513086839407E-9d, }, // 700
      {+0.5215104818344116d,    +4.203159541613745E-8d,  }, // 701
      {+0.5220900774002075d,    -1.1356287358852729E-8d, }, // 702
      {+0.5226693153381348d,    -4.279090925831093E-8d,  }, // 703
      {+0.5232481956481934d,    -5.188364552285819E-8d,  }, // 704
      {+0.5238267183303833d,    -3.82465458937857E-8d,   }, // 705
      {+0.5244048833847046d,    -1.4923330530645769E-9d, }, // 706
      {+0.5249826908111572d,    +5.8765598932137004E-8d, }, // 707
      {+0.5255602598190308d,    +2.3703896609663678E-8d, }, // 708
      {+0.5261374711990356d,    +1.2917117341231647E-8d, }, // 709
      {+0.5267143249511719d,    +2.6789862192139226E-8d, }, // 710
      {+0.527290940284729d,     -5.350322253112414E-8d,  }, // 711
      {+0.5278670787811279d,    +1.0839714455426386E-8d, }, // 712
      {+0.5284429788589478d,    -1.821729591343314E-8d,  }, // 713
      {+0.5290185213088989d,    -2.1083014672301448E-8d, }, // 714
      {+0.5295937061309814d,    +2.623848491704216E-9d,  }, // 715
      {+0.5301685333251953d,    +5.328392630534142E-8d,  }, // 716
      {+0.5307431221008301d,    +1.206790586971942E-8d,  }, // 717
      {+0.5313173532485962d,    -1.4356011804377797E-9d, }, // 718
      {+0.5318912267684937d,    +1.3152074173459994E-8d, }, // 719
      {+0.5324647426605225d,    +5.6208949382936426E-8d, }, // 720
      {+0.5330380201339722d,    +8.90310227565917E-9d,   }, // 721
      {+0.5336109399795532d,    -9.179458802504127E-9d,  }, // 722
      {+0.5341835021972656d,    +2.337337845617735E-9d,  }, // 723
      {+0.5347557067871094d,    +4.3828918300477925E-8d, }, // 724
      {+0.535327672958374d,     -3.5392250480081715E-9d, }, // 725
      {+0.53589928150177d,      -2.0183663375378704E-8d, }, // 726
      {+0.5364705324172974d,    -5.730898606435436E-9d,  }, // 727
      {+0.537041425704956d,     +4.0191927599879235E-8d, }, // 728
      {+0.5376120805740356d,    -1.2522542401353875E-9d, }, // 729
      {+0.5381823778152466d,    -1.0482571326594316E-8d, }, // 730
      {+0.5387523174285889d,    +1.2871924223480165E-8d, }, // 731
      {+0.539322018623352d,     -5.002774317612589E-8d,  }, // 732
      {+0.539891242980957d,     +3.960668706590162E-8d,  }, // 733
      {+0.5404602289199829d,    +4.372568630242375E-8d,  }, // 734
      {+0.5410289764404297d,    -3.730232461206926E-8d,  }, // 735
      {+0.5415972471237183d,    +3.5309026109857795E-8d, }, // 736
      {+0.5421652793884277d,    +2.3508325311148225E-8d, }, // 737
      {+0.5427329540252686d,    +4.6871403168921666E-8d, }, // 738
      {+0.5433003902435303d,    -1.3445113140270216E-8d, }, // 739
      {+0.5438674688339233d,    -3.786663982218041E-8d,  }, // 740
      {+0.5444341897964478d,    -2.602850370608209E-8d,  }, // 741
      {+0.5450005531311035d,    +2.2433348713144506E-8d, }, // 742
      {+0.5455666780471802d,    -1.1326936872620137E-8d, }, // 743
      {+0.5461324453353882d,    -7.737252533211342E-9d,  }, // 744
      {+0.5466978549957275d,    +3.3564604642699844E-8d, }, // 745
      {+0.5472630262374878d,    -6.269066061111782E-9d,  }, // 746
      {+0.5478278398513794d,    -7.667998948729528E-9d,  }, // 747
      {+0.5483922958374023d,    +2.9728170818998143E-8d, }, // 748
      {+0.5489565134048462d,    -1.2930091396008281E-8d, }, // 749
      {+0.5495203733444214d,    -1.607434968107079E-8d,  }, // 750
      {+0.5500838756561279d,    +2.0653935146671156E-8d, }, // 751
      {+0.5506471395492554d,    -2.1596593091833788E-8d, }, // 752
      {+0.5512100458145142d,    -2.3259315921149476E-8d, }, // 753
      {+0.5517725944519043d,    +1.6022492496522704E-8d, }, // 754
      {+0.5523349046707153d,    -2.260433328226171E-8d,  }, // 755
      {+0.5528968572616577d,    -1.957497997726303E-8d,  }, // 756
      {+0.5534584522247314d,    +2.5465477111883854E-8d, }, // 757
      {+0.5540198087692261d,    -6.33792454933092E-9d,   }, // 758
      {+0.554580807685852d,     +4.577835263278281E-9d,  }, // 759
      {+0.5551414489746094d,    +5.856589221771548E-8d,  }, // 760
      {+0.5557018518447876d,    +3.6769498759522324E-8d, }, // 761
      {+0.5562618970870972d,    +5.874989409410614E-8d,  }, // 762
      {+0.5568217039108276d,    +5.649147309876989E-9d,  }, // 763
      {+0.5573811531066895d,    -2.9726830960751796E-9d, }, // 764
      {+0.5579402446746826d,    +3.323458344853057E-8d,  }, // 765
      {+0.5584990978240967d,    -4.588749093664028E-9d,  }, // 766
      {+0.5590575933456421d,    +3.115616594184543E-9d,  }, // 767
      {+0.5596157312393188d,    +5.6696103838614634E-8d, }, // 768
      {+0.5601736307144165d,    +3.7291263280048303E-8d, }, // 769
      {+0.5607312917709351d,    -5.4751646725093355E-8d, }, // 770
      {+0.5612884759902954d,    +1.9332630743320287E-8d, }, // 771
      {+0.5618454217910767d,    +2.147161515775941E-8d,  }, // 772
      {+0.5624021291732788d,    -4.7989172862560625E-8d, }, // 773
      {+0.5629583597183228d,    +4.971378973445109E-8d,  }, // 774
      {+0.5635144710540771d,    -4.2702997139152675E-8d, }, // 775
      {+0.5640701055526733d,    +3.273212962622764E-8d,  }, // 776
      {+0.5646255016326904d,    +3.79438125545842E-8d,   }, // 777
      {+0.5651806592941284d,    -2.6725298288329835E-8d, }, // 778
      {+0.5657354593276978d,    -4.1723833577410244E-8d, }, // 779
      {+0.5662899017333984d,    -6.71028256490915E-9d,   }, // 780
      {+0.56684410572052d,      -4.055299181908475E-8d,  }, // 781
      {+0.567397952079773d,     -2.3702295314000405E-8d, }, // 782
      {+0.5679514408111572d,    +4.4181618172507453E-8d, }, // 783
      {+0.5685046911239624d,    +4.4228706309734985E-8d, }, // 784
      {+0.5690577030181885d,    -2.3222346436879016E-8d, }, // 785
      {+0.5696103572845459d,    -3.862412756175274E-8d,  }, // 786
      {+0.5701626539230347d,    -1.6390743801589046E-9d, }, // 787
      {+0.5707147121429443d,    -3.1139472791083883E-8d, }, // 788
      {+0.5712664127349854d,    -7.579587391156013E-9d,  }, // 789
      {+0.5718178749084473d,    -4.983281844744412E-8d,  }, // 790
      {+0.5723689794540405d,    -3.835454246739619E-8d,  }, // 791
      {+0.5729197263717651d,    +2.7190020372374008E-8d, }, // 792
      {+0.5734702348709106d,    +2.7925807446276126E-8d, }, // 793
      {+0.574020504951477d,     -3.5813506001861646E-8d, }, // 794
      {+0.5745704174041748d,    -4.448550564530588E-8d,  }, // 795
      {+0.5751199722290039d,    +2.2423840341717488E-9d, }, // 796
      {+0.5756692886352539d,    -1.450709904687712E-8d,  }, // 797
      {+0.5762182474136353d,    +2.4806815282282017E-8d, }, // 798
      {+0.5767669677734375d,    +1.3057724436551892E-9d, }, // 799
      {+0.5773153305053711d,    +3.4529452510568104E-8d, }, // 800
      {+0.5778634548187256d,    +5.598413198183808E-9d,  }, // 801
      {+0.5784112215042114d,    +3.405124925700107E-8d,  }, // 802
      {+0.5789587497711182d,    +1.0074354568442952E-9d, }, // 803
      {+0.5795059204101562d,    +2.600448597385527E-8d,  }, // 804
      {+0.5800528526306152d,    -9.83920263200211E-9d,   }, // 805
      {+0.5805994272232056d,    +1.3012807963586057E-8d, }, // 806
      {+0.5811457633972168d,    -2.432215917965441E-8d,  }, // 807
      {+0.5816917419433594d,    -2.308736892479391E-9d,  }, // 808
      {+0.5822374820709229d,    -3.983067093146514E-8d,  }, // 809
      {+0.5827828645706177d,    -1.735366061128156E-8d,  }, // 810
      {+0.5833280086517334d,    -5.376251584638963E-8d,  }, // 811
      {+0.5838727951049805d,    -2.952399778965259E-8d,  }, // 812
      {+0.5844172239303589d,    +5.5685313670430624E-8d, }, // 813
      {+0.5849615335464478d,    -3.6230268489088716E-8d, }, // 814
      {+0.5855053663253784d,    +5.267948957869391E-8d,  }, // 815
      {+0.5860490798950195d,    -3.489144132234588E-8d,  }, // 816
      {+0.5865923166275024d,    +5.9006122320612716E-8d, }, // 817
      {+0.5871354341506958d,    -2.2934896740542648E-8d, }, // 818
      {+0.5876781940460205d,    -4.1975650319859075E-8d, }, // 819
      {+0.5882205963134766d,    +2.2036094805348692E-9d, }, // 820
      {+0.5887627601623535d,    -9.287179048539306E-9d,  }, // 821
      {+0.5893045663833618d,    +4.3079982556221595E-8d, }, // 822
      {+0.589846134185791d,     +4.041399585161321E-8d,  }, // 823
      {+0.5903874635696411d,    -1.696746473863933E-8d,  }, // 824
      {+0.5909284353256226d,    -9.53795080582038E-9d,   }, // 825
      {+0.5914691686630249d,    -5.619010749352923E-8d,  }, // 826
      {+0.5920095443725586d,    -3.7398514182529506E-8d, }, // 827
      {+0.5925495624542236d,    +4.71524479659295E-8d,   }, // 828
      {+0.5930894613265991d,    -4.0640692434639215E-8d, }, // 829
      {+0.5936288833618164d,    +5.716453096255401E-8d,  }, // 830
      {+0.5941681861877441d,    -1.6745661720946737E-8d, }, // 831
      {+0.5947071313858032d,    -2.3639110433141897E-8d, }, // 832
      {+0.5952457189559937d,    +3.67972590471072E-8d,   }, // 833
      {+0.595784068107605d,     +4.566672575206695E-8d,  }, // 834
      {+0.5963221788406372d,    +3.2813537149653483E-9d, }, // 835
      {+0.5968599319458008d,    +2.916199305533732E-8d,  }, // 836
      {+0.5973974466323853d,    +4.410412409109416E-9d,  }, // 837
      {+0.5979346036911011d,    +4.85464582112459E-8d,   }, // 838
      {+0.5984715223312378d,    +4.267089756924666E-8d,  }, // 839
      {+0.5990082025527954d,    -1.2906712010774655E-8d, }, // 840
      {+0.5995445251464844d,    +1.3319784467641742E-9d, }, // 841
      {+0.6000806093215942d,    -3.35137581974451E-8d,   }, // 842
      {+0.6006163358688354d,    +2.0734340706476473E-9d, }, // 843
      {+0.6011518239974976d,    -1.0808162722402073E-8d, }, // 844
      {+0.601686954498291d,     +4.735781872502109E-8d,  }, // 845
      {+0.6022218465805054d,    +5.76686738430634E-8d,   }, // 846
      {+0.6027565002441406d,    +2.043049589651736E-8d,  }, // 847
      {+0.6032907962799072d,    +5.515817703577808E-8d,  }, // 848
      {+0.6038248538970947d,    +4.2947540692649586E-8d, }, // 849
      {+0.6043586730957031d,    -1.589678872195875E-8d,  }, // 850
      {+0.6048921346664429d,    -1.8613847754677912E-9d, }, // 851
      {+0.6054253578186035d,    -3.3851886626187444E-8d, }, // 852
      {+0.6059582233428955d,    +7.64416021682279E-9d,   }, // 853
      {+0.6064908504486084d,    +3.7201467248814224E-9d, }, // 854
      {+0.6070232391357422d,    -4.532172996647129E-8d,  }, // 855
      {+0.6075552701950073d,    -1.997046552871766E-8d,  }, // 856
      {+0.6080870628356934d,    -3.913411606668587E-8d,  }, // 857
      {+0.6086184978485107d,    +1.6697361107868944E-8d, }, // 858
      {+0.609149694442749d,     +2.8614950293715483E-8d, }, // 859
      {+0.6096806526184082d,    -3.081552929643174E-9d,  }, // 860
      {+0.6102112531661987d,    +4.111645931319645E-8d,  }, // 861
      {+0.6107416152954102d,    +4.2298539553668435E-8d, }, // 862
      {+0.6112717390060425d,    +7.630546413718035E-10d, }, // 863
      {+0.6118015050888062d,    +3.601718675118614E-8d,  }, // 864
      {+0.6123310327529907d,    +2.914906573537692E-8d,  }, // 865
      {+0.6128603219985962d,    -1.9544361222269494E-8d, }, // 866
      {+0.613389253616333d,     +9.442671392695732E-9d,  }, // 867
      {+0.6139179468154907d,    -2.8031202304593286E-9d, }, // 868
      {+0.6144464015960693d,    -5.598619958143586E-8d,  }, // 869
      {+0.6149744987487793d,    -3.060220883766096E-8d,  }, // 870
      {+0.6155023574829102d,    -4.556583652800433E-8d,  }, // 871
      {+0.6160298585891724d,    +1.8626341656366314E-8d, }, // 872
      {+0.6165571212768555d,    +4.305870564227991E-8d,  }, // 873
      {+0.6170841455459595d,    +2.8024460607734262E-8d, }, // 874
      {+0.6176109313964844d,    -2.6183651590639875E-8d, }, // 875
      {+0.6181373596191406d,    -6.406189112730307E-11d, }, // 876
      {+0.6186635494232178d,    -1.2534241706168776E-8d, }, // 877
      {+0.6191893815994263d,    +5.5906456251308664E-8d, }, // 878
      {+0.6197150945663452d,    -3.286964881802063E-8d,  }, // 879
      {+0.6202404499053955d,    -4.0153537978961E-8d,    }, // 880
      {+0.6207654476165771d,    +3.434477109643361E-8d,  }, // 881
      {+0.6212903261184692d,    -4.750377491075032E-8d,  }, // 882
      {+0.6218148469924927d,    -4.699152670372743E-8d,  }, // 883
      {+0.6223390102386475d,    +3.617013128065961E-8d,  }, // 884
      {+0.6228630542755127d,    -3.6149218175202596E-8d, }, // 885
      {+0.6233867406845093d,    -2.5243286814648133E-8d, }, // 886
      {+0.6239101886749268d,    -5.003410681432538E-8d,  }, // 887
      {+0.6244332790374756d,    +8.974417915105033E-9d,  }, // 888
      {+0.6249561309814453d,    +3.285935446876949E-8d,  }, // 889
      {+0.6254787445068359d,    +2.190661054038537E-8d,  }, // 890
      {+0.6260011196136475d,    -2.3598354190515998E-8d, }, // 891
      {+0.6265231370925903d,    +1.5838762427747586E-8d, }, // 892
      {+0.6270449161529541d,    +2.129323729978037E-8d,  }, // 893
      {+0.6275664567947388d,    -6.950808333865794E-9d,  }, // 894
      {+0.6280876398086548d,    +5.059959203156465E-8d,  }, // 895
      {+0.6286087036132812d,    -4.41909071122557E-8d,   }, // 896
      {+0.6291294097900391d,    -5.262093550784066E-8d,  }, // 897
      {+0.6296497583389282d,    +2.559185648444699E-8d,  }, // 898
      {+0.6301699876785278d,    -4.768920119497491E-8d,  }, // 899
      {+0.6306898593902588d,    -3.376406008397877E-8d,  }, // 900
      {+0.6312094926834106d,    -5.156097914033476E-8d,  }, // 901
      {+0.6317287683486938d,    +1.840992392368355E-8d,  }, // 902
      {+0.632247805595398d,     +5.721951534729663E-8d,  }, // 903
      {+0.6327667236328125d,    -5.406177467045421E-8d,  }, // 904
      {+0.6332851648330688d,    +4.247320713683124E-8d,  }, // 905
      {+0.6338034868240356d,    -1.0524557502830645E-8d, }, // 906
      {+0.6343214511871338d,    +2.5641927558519502E-8d, }, // 907
      {+0.6348391771316528d,    +3.204135737993823E-8d,  }, // 908
      {+0.6353566646575928d,    +8.951285029786536E-9d,  }, // 909
      {+0.6358739137649536d,    -4.335116707228395E-8d,  }, // 910
      {+0.6363908052444458d,    -5.380016714089483E-9d,  }, // 911
      {+0.6369074583053589d,    +3.931710344901743E-9d,  }, // 912
      {+0.6374238729476929d,    -1.5140150088220166E-8d, }, // 913
      {+0.6379399299621582d,    +5.688910024377372E-8d,  }, // 914
      {+0.638455867767334d,     -1.8124135273572568E-8d, }, // 915
      {+0.6389714479446411d,    -1.486720391901626E-9d,  }, // 916
      {+0.6394867897033691d,    -1.2133811978747018E-8d, }, // 917
      {+0.6400018930435181d,    -4.9791700939901716E-8d, }, // 918
      {+0.6405166387557983d,    +5.022188652837274E-9d,  }, // 919
      {+0.6410311460494995d,    +3.337143177933685E-8d,  }, // 920
      {+0.6415454149246216d,    +3.55284719912458E-8d,   }, // 921
      {+0.6420594453811646d,    +1.1765332726757802E-8d, }, // 922
      {+0.6425732374191284d,    -3.7646381826067834E-8d, }, // 923
      {+0.6430866718292236d,    +6.773803682579552E-9d,  }, // 924
      {+0.6435998678207397d,    +2.608736797081283E-8d,  }, // 925
      {+0.6441128253936768d,    +2.056466263408266E-8d,  }, // 926
      {+0.6446255445480347d,    -9.524376551107945E-9d,  }, // 927
      {+0.6451379060745239d,    +5.5299060775883977E-8d, }, // 928
      {+0.6456501483917236d,    -2.3114497793159813E-8d, }, // 929
      {+0.6461620330810547d,    -6.077779731902102E-9d,  }, // 930
      {+0.6466736793518066d,    -1.2531793589140273E-8d, }, // 931
      {+0.6471850872039795d,    -4.220866994206517E-8d,  }, // 932
      {+0.6476961374282837d,    +2.4368339445199057E-8d, }, // 933
      {+0.6482070684432983d,    -5.095229574221907E-8d,  }, // 934
      {+0.6487176418304443d,    -2.9485356677301627E-8d, }, // 935
      {+0.6492279767990112d,    -3.0173901411577916E-8d, }, // 936
      {+0.649738073348999d,     -5.275210583909726E-8d,  }, // 937
      {+0.6502478122711182d,    +2.2254737134350224E-8d, }, // 938
      {+0.6507574319839478d,    -4.330693978322885E-8d,  }, // 939
      {+0.6512666940689087d,    -1.0753950588009912E-8d, }, // 940
      {+0.6517757177352905d,    +9.686179886293545E-10d, }, // 941
      {+0.6522845029830933d,    -7.875434494414498E-9d,  }, // 942
      {+0.6527930498123169d,    -3.702271091849158E-8d,  }, // 943
      {+0.6533012390136719d,    +3.2999073763758614E-8d, }, // 944
      {+0.6538093090057373d,    -3.5966064858620067E-8d, }, // 945
      {+0.6543170213699341d,    -5.23735298540578E-9d,   }, // 946
      {+0.6548244953155518d,    +6.237715351293023E-9d,  }, // 947
      {+0.6553317308425903d,    -1.279462699936282E-9d,  }, // 948
      {+0.6558387279510498d,    -2.7527887552743672E-8d, }, // 949
      {+0.6563453674316406d,    +4.696233317356646E-8d,  }, // 950
      {+0.6568518877029419d,    -1.5967172745329108E-8d, }, // 951
      {+0.6573580503463745d,    +2.2361985518423144E-8d, }, // 952
      {+0.657863974571228d,     +4.2999935789083046E-8d, }, // 953
      {+0.6583696603775024d,    +4.620570188811826E-8d,  }, // 954
      {+0.6588751077651978d,    +3.223791487908353E-8d,  }, // 955
      {+0.659380316734314d,     +1.3548138612715822E-9d, }, // 956
      {+0.6598852872848511d,    -4.618575323863973E-8d,  }, // 957
      {+0.6603899002075195d,    +9.082960673843353E-9d,  }, // 958
      {+0.6608942747116089d,    +4.820873399634487E-8d,  }, // 959
      {+0.6613985300064087d,    -4.776104368314602E-8d,  }, // 960
      {+0.6619024276733398d,    -4.0151502150238136E-8d, }, // 961
      {+0.6624060869216919d,    -4.791602708710648E-8d,  }, // 962
      {+0.6629093885421753d,    +4.8410188461165925E-8d, }, // 963
      {+0.6634125709533691d,    +1.0663697110471944E-8d, }, // 964
      {+0.6639155149459839d,    -4.1691464781797555E-8d, }, // 965
      {+0.66441810131073d,      +1.080835500478704E-8d,  }, // 966
      {+0.664920449256897d,     +4.920784622407246E-8d,  }, // 967
      {+0.6654226779937744d,    -4.544868396511241E-8d,  }, // 968
      {+0.6659245491027832d,    -3.448944157854234E-8d,  }, // 969
      {+0.6664261817932129d,    -3.6870882345139385E-8d, }, // 970
      {+0.6669275760650635d,    -5.234055273962444E-8d,  }, // 971
      {+0.6674286127090454d,    +3.856291077979099E-8d,  }, // 972
      {+0.6679295301437378d,    -2.327375671320742E-9d,  }, // 973
      {+0.6684302091598511d,    -5.555080534042001E-8d,  }, // 974
      {+0.6689305305480957d,    -1.6471487337453832E-9d, }, // 975
      {+0.6694306135177612d,    +4.042486803683015E-8d,  }, // 976
      {+0.6699305772781372d,    -4.8293856891818295E-8d, }, // 977
      {+0.6704301834106445d,    -2.9134931730784303E-8d, }, // 978
      {+0.6709295511245728d,    -2.1058207594753368E-8d, }, // 979
      {+0.6714286804199219d,    -2.3814619551682855E-8d, }, // 980
      {+0.6719275712966919d,    -3.7155475428252136E-8d, }, // 981
      {+0.6724261045455933d,    +5.8376834484391746E-8d, }, // 982
      {+0.6729245185852051d,    +2.4611679969129262E-8d, }, // 983
      {+0.6734226942062378d,    -1.899407107267079E-8d,  }, // 984
      {+0.6739205121994019d,    +4.7016079464436395E-8d, }, // 985
      {+0.6744182109832764d,    -1.5529608026276525E-8d, }, // 986
      {+0.6749155521392822d,    +3.203391672602453E-8d,  }, // 987
      {+0.6754127740859985d,    -4.8465821804075345E-8d, }, // 988
      {+0.6759096384048462d,    -1.8364507801369988E-8d, }, // 989
      {+0.6764062643051147d,    +3.3739397633046517E-9d, }, // 990
      {+0.6769026517868042d,    +1.6994526063192333E-8d, }, // 991
      {+0.6773988008499146d,    +2.2741891590028428E-8d, }, // 992
      {+0.6778947114944458d,    +2.0860312877435047E-8d, }, // 993
      {+0.678390383720398d,     +1.1593703222523284E-8d, }, // 994
      {+0.678885817527771d,     -4.814386594291911E-9d,  }, // 995
      {+0.6793810129165649d,    -2.812076759125914E-8d,  }, // 996
      {+0.6798759698867798d,    -5.808261186903479E-8d,  }, // 997
      {+0.680370569229126d,     +2.4751837654582522E-8d, }, // 998
      {+0.6808650493621826d,    -1.7793890245755405E-8d, }, // 999
      {+0.6813591718673706d,    +5.294053246347931E-8d,  }, // 1000
      {+0.681853175163269d,     -1.2220826223585654E-9d, }, // 1001
      {+0.6823468208312988d,    +5.8377876767612725E-8d, }, // 1002
      {+0.6828403472900391d,    -6.437492120743254E-9d,  }, // 1003
      {+0.6833335161209106d,    +4.2990710043633113E-8d, }, // 1004
      {+0.6838265657424927d,    -3.1516131027023284E-8d, }, // 1005
      {+0.684319257736206d,     +8.70017386744679E-9d,   }, // 1006
      {+0.6848117113113403d,    +4.466959125843237E-8d,  }, // 1007
      {+0.6853040456771851d,    -4.25782656420497E-8d,   }, // 1008
      {+0.6857960224151611d,    -1.4386267593671393E-8d, }, // 1009
      {+0.6862877607345581d,    +1.0274494061148778E-8d, }, // 1010
      {+0.686779260635376d,     +3.164186629229597E-8d,  }, // 1011
      {+0.6872705221176147d,    +4.995334552140326E-8d,  }, // 1012
      {+0.687761664390564d,     -5.3763211240398744E-8d, }, // 1013
      {+0.6882524490356445d,    -4.0852427502515625E-8d, }, // 1014
      {+0.688742995262146d,     -3.0287143914420064E-8d, }, // 1015
      {+0.6892333030700684d,    -2.183125937905008E-8d,  }, // 1016
      {+0.6897233724594116d,    -1.524901992178814E-8d,  }, // 1017
      {+0.6902132034301758d,    -1.0305018010328949E-8d, }, // 1018
      {+0.6907027959823608d,    -6.764191876212205E-9d,  }, // 1019
      {+0.6911921501159668d,    -4.391824838015402E-9d,  }, // 1020
      {+0.6916812658309937d,    -2.9535446262017846E-9d, }, // 1021
      {+0.6921701431274414d,    -2.2153227096187463E-9d, }, // 1022
      {+0.6926587820053101d,    -1.943473623641502E-9d,  }, // 1023
    };


    /**
     * Class contains only static methods.
     */
    private FastMathLiteralArrays() {}

    /**
     * Load "EXP_INT_A".
     *
     * @return a clone of the data array.
     */
    static double[] loadExpIntA() {
        return EXP_INT_A.clone();
    }
    /**
     * Load "EXP_INT_B".
     *
     * @return a clone of the data array.
     */
    static double[] loadExpIntB() {
        return EXP_INT_B.clone();
    }
    /**
     * Load "EXP_FRAC_A".
     *
     * @return a clone of the data array.
     */
    static double[] loadExpFracA() {
        return EXP_FRAC_A.clone();
    }
    /**
     * Load "EXP_FRAC_B".
     *
     * @return a clone of the data array.
     */
    static double[] loadExpFracB() {
        return EXP_FRAC_B.clone();
    }
    /**
     * Load "LN_MANT".
     *
     * @return a clone of the data array.
     */
    static double[][] loadLnMant() {
        return LN_MANT.clone();
    }
}