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TNeuron.cxx
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1// @(#)root/mlp:$Id$
2// Author: Christophe.Delaere@cern.ch 20/07/03
3
4/*************************************************************************
5 * Copyright (C) 1995-2003, Rene Brun and Fons Rademakers. *
6 * All rights reserved. *
7 * *
8 * For the licensing terms see $ROOTSYS/LICENSE. *
9 * For the list of contributors see $ROOTSYS/README/CREDITS. *
10 *************************************************************************/
11
12/** \class TNeuron
13
14This class describes an elementary neuron, which is the basic
15element for a Neural Network.
16A network is built connecting neurons by synapses.
17There are different types of neurons: linear (a+bx),
18sigmoid (1/(1+exp(-x)), tanh or gaussian.
19An external function can also be used, together with its derivative.
20In a Multi Layer Perceptron, the input layer is made of
21inactive neurons (returning the normalized input) and output neurons
22are linear. Hidden neurons may be anything, the default being sigmoids.
23
24This implementation contains several methods to compute the value,
25the derivative, the DeDw, ...
26Values are stored in local buffers. The SetNewEvent() method is
27there to inform buffered values are outdated.
28
29*/
30
31#include "TSynapse.h"
32#include "TNeuron.h"
33#include "TTree.h"
34#include "TTreeFormula.h"
35#include "TFormula.h"
36#include "TBranch.h"
37#include "TROOT.h"
38#include "TH1D.h"
39#include "TRegexp.h"
40#include "TMath.h"
41
43
44////////////////////////////////////////////////////////////////////////////////
45/// Usual constructor
46
48 const char* name /*= ""*/, const char* title /*= ""*/,
49 const char* extF /*= ""*/, const char* extD /*= ""*/ )
50 :TNamed(name, title)
51{
52 fpre.SetOwner(false);
53 fpost.SetOwner(false);
54 flayer.SetOwner(false);
55 fWeight = 0.;
56 fNorm[0] = 1.;
57 fNorm[1] = 0.;
58 fType = type;
59 fNewInput = true;
60 fNewValue = true;
61 fNewDeriv = true;
62 fNewDeDw = true;
63 fFormula = 0;
64 fDeDw = 0;
65 fDEDw = 0;
66 fValue = 0;
67 fExtF = 0;
68 fExtD = 0;
69 fIndex = 0;
70 fDerivative = 0;
71 fInput = 0;
72 if(fType==kExternal) {
73 fExtF = (TFormula*)gROOT->FindObject(extF);
74 fExtD = (TFormula*)gROOT->FindObject(extD);
75 }
76}
77
78////////////////////////////////////////////////////////////////////////////////
79/// The Sigmoid.
80/// Fast computation of the values of the sigmoid function.
81/// Uses values of the function up to the seventh order
82/// tabulated at 700 points.
83/// Values were computed in long double precision (16 bytes,
84/// precision to about 37 digits) on a hp computer.
85/// Some values were checked with Mathematica.
86/// Result should be correct to ~ 15 digits (about double
87/// precision)
88///
89/// From the mlpfit package (J.Schwindling 20-Jul-1999)
90
92{
93 static Double_t sigval[7000] = {
94 -3.500000e+01, 6.30511676014698530e-16, 6.30511676014698130e-16, 3.15255838007348670e-16, 1.05085279335782620e-16, 2.62713198339455210e-17, 5.25426396678905190e-18, 8.75710661131491060e-19, 1.25101523018779380e-19, 1.56376903773461590e-20,
95 -3.490000e+01, 6.96823167838580650e-16, 6.96823167838580160e-16, 3.48411583919289640e-16, 1.16137194639762880e-16, 2.90342986599405540e-17, 5.80685973198804710e-18, 9.67809955331319670e-19, 1.38258565047325200e-19, 1.72823206309141090e-20,
96 -3.480000e+01, 7.70108700136546340e-16, 7.70108700136545750e-16, 3.85054350068272280e-16, 1.28351450022757030e-16, 3.20878625056890590e-17, 6.41757250113773230e-18, 1.06959541685626250e-18, 1.52799345265172810e-19, 1.90999181581447200e-20,
97 -3.470000e+01, 8.51101739147945470e-16, 8.51101739147944780e-16, 4.25550869573971650e-16, 1.41850289857990070e-16, 3.54625724644972780e-17, 7.09251449289935940e-18, 1.18208574881652770e-18, 1.68869392688066160e-19, 2.11086740860059710e-20,
98 -3.460000e+01, 9.40612890429916560e-16, 9.40612890429915770e-16, 4.70306445214957000e-16, 1.56768815071651720e-16, 3.91922037679126390e-17, 7.83844075358240950e-18, 1.30640679226369560e-18, 1.86629541751945290e-19, 2.33286927189903510e-20,
99 -3.450000e+01, 1.03953801167022100e-15, 1.03953801167021980e-15, 5.19769005835108810e-16, 1.73256335278368870e-16, 4.33140838195918600e-17, 8.66281676391822790e-18, 1.44380279398632340e-18, 2.06257541998032470e-19, 2.57821927497506280e-20,
100 -3.440000e+01, 1.14886717873211280e-15, 1.14886717873211140e-15, 5.74433589366054410e-16, 1.91477863122017240e-16, 4.78694657805038730e-17, 9.57389315610059860e-18, 1.59564885935004120e-18, 2.27949837049989100e-19, 2.84937296312444480e-20,
101 -3.430000e+01, 1.26969459466634980e-15, 1.26969459466634820e-15, 6.34847297333172530e-16, 2.11615765777723080e-16, 5.29039414444302330e-17, 1.05807882888858320e-17, 1.76346471481423380e-18, 2.51923530687727210e-19, 3.14904413359607800e-20,
102 -3.420000e+01, 1.40322954086308920e-15, 1.40322954086308720e-15, 7.01614770431541630e-16, 2.33871590143845880e-16, 5.84678975359608160e-17, 1.16935795071919010e-17, 1.94892991786522940e-18, 2.78418559695007730e-19, 3.48023199618697190e-20,
103 -3.410000e+01, 1.55080847994653150e-15, 1.55080847994652920e-15, 7.75404239973262210e-16, 2.58468079991085760e-16, 6.46170199977706390e-17, 1.29234039995538080e-17, 2.15390066659219480e-18, 3.07700095227425790e-19, 3.84625119034205930e-20,
104 -3.400000e+01, 1.71390843154201000e-15, 1.71390843154200710e-15, 8.56954215771000580e-16, 2.85651405256998220e-16, 7.14128513142485820e-17, 1.42825702628493230e-17, 2.38042837714142370e-18, 3.40061196734451790e-19, 4.25076495917971450e-20,
105 -3.390000e+01, 1.89416175478487890e-15, 1.89416175478487530e-15, 9.47080877392433920e-16, 3.15693625797475610e-16, 7.89234064493677060e-17, 1.57846812898730630e-17, 2.63078021497868450e-18, 3.75825744996909330e-19, 4.69782181246022790e-20,
106 -3.380000e+01, 2.09337248551938710e-15, 2.09337248551938240e-15, 1.04668624275968680e-15, 3.48895414253226000e-16, 8.72238535633050470e-17, 1.74447707126604240e-17, 2.90746178544320960e-18, 4.15351683634688560e-19, 5.19189604543221620e-20,
107 -3.370000e+01, 2.31353439169574760e-15, 2.31353439169574210e-15, 1.15676719584786570e-15, 3.85589065282618330e-16, 9.63972663206527960e-17, 1.92794532641298470e-17, 3.21324221068806990e-18, 4.59034601526799130e-19, 5.73793251908329070e-20,
108 -3.360000e+01, 2.55685092766997700e-15, 2.55685092766997070e-15, 1.27842546383497880e-15, 4.26141821278321860e-16, 1.06535455319578300e-16, 2.13070910639147860e-17, 3.55118184398550770e-18, 5.07311691997846610e-19, 6.34139614997100740e-20,
109 -3.350000e+01, 2.82575728711560320e-15, 2.82575728711559530e-15, 1.41287864355778950e-15, 4.70959547852591190e-16, 1.17739886963145140e-16, 2.35479773926279630e-17, 3.92466289877097270e-18, 5.60666128395751820e-19, 7.00832660494436280e-20,
110 -3.340000e+01, 3.12294477526050570e-15, 3.12294477526049620e-15, 1.56147238763023820e-15, 5.20490795876739570e-16, 1.30122698969181640e-16, 2.60245397938350280e-17, 4.33742329897207160e-18, 6.19631899853029210e-19, 7.74539874815976920e-20,
111 -3.330000e+01, 3.45138774437420440e-15, 3.45138774437419260e-15, 1.72569387218708450e-15, 5.75231290729020130e-16, 1.43807822682251060e-16, 2.87615645364486300e-17, 4.79359408940757550e-18, 6.84799155629502340e-19, 8.55998944536499720e-20,
112 -3.320000e+01, 3.81437336208505550e-15, 3.81437336208504050e-15, 1.90718668104250570e-15, 6.35728893680825560e-16, 1.58932223420201530e-16, 3.17864446840383680e-17, 5.29774078067241470e-18, 7.56820111524445930e-19, 9.46025139405095430e-20,
113 -3.310000e+01, 4.21553451045883940e-15, 4.21553451045882130e-15, 2.10776725522939290e-15, 7.02589085076452470e-16, 1.75647271269107180e-16, 3.51294542538190670e-17, 5.85490904230238850e-18, 8.36415577471544070e-19, 1.04551947183886600e-19,
114 -3.300000e+01, 4.65888614510337560e-15, 4.65888614510335430e-15, 2.32944307255165550e-15, 7.76481024183870600e-16, 1.94120256045960400e-16, 3.88240512091891920e-17, 6.47067520153056710e-18, 9.24382171646948210e-19, 1.15547771455799630e-19,
115 -3.290000e+01, 5.14886547819381740e-15, 5.14886547819379060e-15, 2.57443273909686890e-15, 8.58144246365605200e-16, 2.14536061591392470e-16, 4.29072123182749640e-17, 7.15120205304464960e-18, 1.02160029329175600e-18, 1.27700036661385360e-19,
116 -3.280000e+01, 5.69037638758347510e-15, 5.69037638758344200e-15, 2.84518819379168870e-15, 9.48396064597207920e-16, 2.37099016149291180e-16, 4.74198032298539250e-17, 7.90330053830754850e-18, 1.12904293404352430e-18, 1.41130366755337750e-19,
117 -3.270000e+01, 6.28883849646157640e-15, 6.28883849646153690e-15, 3.14441924823072900e-15, 1.04813974941021660e-15, 2.62034937352540980e-16, 5.24069874705029230e-17, 8.73449791174873020e-18, 1.24778541596360200e-18, 1.55973176995324680e-19,
118 -3.260000e+01, 6.95024141476392120e-15, 6.95024141476387310e-15, 3.47512070738188800e-15, 1.15837356912726370e-15, 2.89593392281799860e-16, 5.79186784563535330e-17, 9.65311307605677590e-18, 1.37901615372178300e-18, 1.72377019215069530e-19,
119 -3.250000e+01, 7.68120468520203540e-15, 7.68120468520197700e-15, 3.84060234260092930e-15, 1.28020078086693710e-15, 3.20050195216714590e-16, 6.40100390433350520e-17, 1.06683398405532210e-17, 1.52404854864971080e-18, 1.90506068581026560e-19,
120 -3.240000e+01, 8.48904403387170610e-15, 8.48904403387163350e-15, 4.24452201693574420e-15, 1.41484067231186670e-15, 3.53710168077942670e-16, 7.07420336155789230e-17, 1.17903389359266190e-17, 1.68433413370288750e-18, 2.10541766712632160e-19,
121 -3.230000e+01, 9.38184458849859670e-15, 9.38184458849850840e-15, 4.69092229424916660e-15, 1.56364076474966340e-15, 3.90910191187386470e-16, 7.81820382374655680e-17, 1.30303397062403500e-17, 1.86147710089036070e-18, 2.32684637611015680e-19,
122 -3.220000e+01, 1.03685417971139710e-14, 1.03685417971138640e-14, 5.18427089855682470e-15, 1.72809029951886980e-15, 4.32022574879681600e-16, 8.64045149759219900e-17, 1.44007524959822210e-17, 2.05725035656752340e-18, 2.57156294570599160e-19,
123 -3.210000e+01, 1.14590108570221770e-14, 1.14590108570220460e-14, 5.72950542851089130e-15, 1.90983514283687630e-15, 4.77458785709175300e-16, 9.54917571418175490e-17, 1.59152928569637550e-17, 2.27361326527886920e-18, 2.84201658159441780e-19,
124 -3.200000e+01, 1.26641655490940160e-14, 1.26641655490938570e-14, 6.33208277454676750e-15, 2.11069425818214890e-15, 5.27673564545483790e-16, 1.05534712909075370e-16, 1.75891188181721000e-17, 2.51273125973683490e-18, 3.14091407466595250e-19,
125 -3.190000e+01, 1.39960674665542220e-14, 1.39960674665540250e-14, 6.99803373327681690e-15, 2.33267791109214150e-15, 5.83169477772970090e-16, 1.16633895554567910e-16, 1.94389825924192790e-17, 2.77699751320026640e-18, 3.47124689149411470e-19,
126 -3.180000e+01, 1.54680467314603800e-14, 1.54680467314601400e-14, 7.73402336572983000e-15, 2.57800778857645030e-15, 6.44501947144032790e-16, 1.28900389428774660e-16, 2.14833982381184800e-17, 3.06905689115674430e-18, 3.83632111393833500e-19,
127 -3.170000e+01, 1.70948354070450830e-14, 1.70948354070447900e-14, 8.54741770352210300e-15, 2.84913923450717270e-15, 7.12284808626695750e-16, 1.42456961725300190e-16, 2.37428269542037130e-17, 3.39183242202539070e-18, 4.23979052752246120e-19,
128 -3.160000e+01, 1.88927149411560280e-14, 1.88927149411556710e-14, 9.44635747057747730e-15, 3.14878582352558780e-15, 7.87196455881277930e-16, 1.57439291176208010e-16, 2.62398818626854730e-17, 3.74855455180767740e-18, 4.68569318974826550e-19,
129 -3.150000e+01, 2.08796791164589010e-14, 2.08796791164584650e-14, 1.04398395582287960e-14, 3.47994651940930800e-15, 8.69986629852181640e-16, 1.73997325970378200e-16, 2.89995543283769920e-17, 4.14279347547689150e-18, 5.17849184433227460e-19,
130 -3.140000e+01, 2.30756141382617880e-14, 2.30756141382612580e-14, 1.15378070691300960e-14, 3.84593568970967660e-15, 9.61483922427241660e-16, 1.92296784485377340e-16, 3.20494640808725600e-17, 4.57849486868931840e-18, 5.72311858584474310e-19,
131 -3.130000e+01, 2.55024976623420620e-14, 2.55024976623414120e-14, 1.27512488311700560e-14, 4.25041627705625120e-15, 1.06260406926384610e-15, 2.12520813852682500e-16, 3.54201356420848460e-17, 5.06001937743243370e-18, 6.32502422176989520e-19,
132 -3.120000e+01, 2.81846187547126010e-14, 2.81846187547118060e-14, 1.40923093773551080e-14, 4.69743645911783960e-15, 1.17435911477919500e-15, 2.34871822955733110e-16, 3.91453038259202140e-17, 5.59218626083565740e-18, 6.99023282601935360e-19,
133 -3.110000e+01, 3.11488209847576830e-14, 3.11488209847567110e-14, 1.55744104923773830e-14, 5.19147016412514760e-15, 1.29786754103096350e-15, 2.59573508206063350e-16, 4.32622513676341070e-17, 6.18032162393540810e-18, 7.72540202988845880e-19,
134 -3.100000e+01, 3.44247710846985810e-14, 3.44247710846973950e-14, 1.72123855423475110e-14, 5.73746184744838010e-15, 1.43436546186170000e-15, 2.86873092372182000e-16, 4.78121820619776690e-17, 6.83031172312461810e-18, 8.53788965386815150e-19,
135 -3.090000e+01, 3.80452558642202530e-14, 3.80452558642188080e-14, 1.90226279321079550e-14, 6.34087597736835340e-15, 1.58521899434160580e-15, 3.17043798868128200e-16, 5.28406331446237000e-17, 7.54866187778500530e-18, 9.43582734718530590e-19,
136 -3.080000e+01, 4.20465103518829610e-14, 4.20465103518811940e-14, 2.10232551759388270e-14, 7.00775172531176340e-15, 1.75193793132735160e-15, 3.50387586265234630e-16, 5.83979310441271980e-17, 8.34256157771000690e-18, 1.04282019720813850e-18,
137 -3.070000e+01, 4.64685804474675720e-14, 4.64685804474654130e-14, 2.32342902237305450e-14, 7.74476340790874180e-15, 1.93619085197646560e-15, 3.87238170395005280e-16, 6.45396950657382470e-17, 9.21995643793518570e-18, 1.15249455473504320e-18,
138 -3.060000e+01, 5.13557237147994640e-14, 5.13557237147968260e-14, 2.56778618573957750e-14, 8.55928728579683310e-15, 2.13982182144832910e-15, 4.27964364289314180e-16, 7.13273940481018150e-17, 1.01896277211239110e-17, 1.27370346513211610e-18,
139 -3.050000e+01, 5.67568523263239960e-14, 5.67568523263207780e-14, 2.83784261631571670e-14, 9.45947538771690840e-15, 2.36486884692815310e-15, 4.72973769385201140e-16, 7.88289615640570200e-17, 1.12612802233958120e-17, 1.40766002791425000e-18,
140 -3.040000e+01, 6.27260225925671670e-14, 6.27260225925632420e-14, 3.13630112962776830e-14, 1.04543370987566040e-14, 2.61358427468783960e-15, 5.22716854937043290e-16, 8.71194758226656970e-17, 1.24456394031879920e-17, 1.55570492538600840e-18,
141 -3.030000e+01, 6.93229759758606750e-14, 6.93229759758558660e-14, 3.46614879879231310e-14, 1.15538293293045040e-14, 2.88845733232452430e-15, 5.77691466464264150e-16, 9.62819110771637780e-17, 1.37545587252480860e-17, 1.71931984064075470e-18,
142 -3.020000e+01, 7.66137370029775430e-14, 7.66137370029716740e-14, 3.83068685014799680e-14, 1.27689561671560770e-14, 3.19223904178706240e-15, 6.38447808356629930e-16, 1.06407968059177450e-16, 1.52011382940936700e-17, 1.90014228674307500e-18,
143 -3.010000e+01, 8.46712740607860540e-14, 8.46712740607788850e-14, 4.23356370303822730e-14, 1.41118790101226440e-14, 3.52796975252827130e-15, 7.05593950504698390e-16, 1.17598991750464440e-16, 1.67998559642610260e-17, 2.09998199550986870e-18,
144 -3.000000e+01, 9.35762296883929890e-14, 9.35762296883842290e-14, 4.67881148441833550e-14, 1.55960382813886140e-14, 3.89900957034423470e-15, 7.79801914067679430e-16, 1.29966985677557410e-16, 1.85667122395398620e-17, 2.32083902991468430e-18,
145 -2.990000e+01, 1.03417727674778080e-13, 1.03417727674767390e-13, 5.17088638373729960e-14, 1.72362879457838680e-14, 4.30907198644240230e-15, 8.61814397287054390e-16, 1.43635732880700410e-16, 2.05193904113928150e-17, 2.56492380139014880e-18,
146 -2.980000e+01, 1.14294265039630320e-13, 1.14294265039617240e-13, 5.71471325197955590e-14, 1.90490441732564790e-14, 4.76226104330976530e-15, 9.52452208660211380e-16, 1.58742034776121300e-16, 2.26774335392800200e-17, 2.83467919236853180e-18,
147 -2.970000e+01, 1.26314697824628310e-13, 1.26314697824612330e-13, 6.31573489122902130e-14, 2.10524496374194340e-14, 5.26311240934954000e-15, 1.05262248186778070e-15, 1.75437080310587660e-16, 2.50624400441670580e-17, 3.13280500547022990e-18,
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447 3.000000e-01, 5.74442516811660030e-01, 2.44458311690745720e-01, -1.81980919777883710e-02, -1.90168142062321630e-02, 2.93216717606735060e-03, 1.70598204579083550e-03, -3.96619989543381990e-04, -1.47135961074908440e-04, 4.86790802182843600e-05,
448 4.000000e-01, 5.98687660112451670e-01, 2.40260745741529220e-01, -2.37107708141042070e-02, -1.76817683206875460e-02, 3.72086991006114480e-03, 1.43997222858043440e-03, -4.85111608501311170e-04, -1.04626298216035220e-04, 5.67032531438075270e-05,
449 5.000000e-01, 6.22459331201854590e-01, 2.35003712201594490e-01, -2.87783974261603720e-02, -1.60594593815974360e-02, 4.36483044084713490e-03, 1.13016810992858680e-03, -5.42105497383336100e-04, -5.78708906527865420e-05, 5.92762197634034040e-05,
450 6.000000e-01, 6.45656306225795840e-01, 2.28784240456657210e-01, -3.33238673875909590e-02, -1.42115219385533400e-02, 4.84698674038245340e-03, 7.96055199473061600e-04, -5.66149170755055010e-04, -1.11785776363180860e-05, 5.66412336602477280e-05,
451 7.000000e-01, 6.68187772168166720e-01, 2.21712873293108850e-01, -3.72893942201710100e-02, -1.22044526350346600e-02, 5.16008921756597530e-03, 4.57108356135250480e-04, -5.58678296160798530e-04, 3.15880914084643170e-05, 4.96436994272184320e-05,
452 8.000000e-01, 6.89974481127613390e-01, 2.13909696520294070e-01, -4.06373836046081060e-02, -1.01057421786886320e-02, 5.30628176052315180e-03, 1.31183858107712160e-04, -5.23552542648549510e-04, 6.74201480805629090e-05, 3.95349355063020810e-05,
453 9.000000e-01, 7.10949502625003670e-01, 2.05500307342263570e-01, -4.33501876231358880e-02, -7.98032509405418970e-03, 5.29596124463789070e-03, -1.66736205775554540e-04, -4.66365777962912890e-04, 9.43948827803063110e-05, 2.77403009365558620e-05,
454 1.000000e+00, 7.31058578630004900e-01, 1.96611933241481850e-01, -4.54288738364742040e-02, -5.88759675270594200e-03, 5.14611922359971710e-03, -4.25349801037941650e-04, -3.93658206291141790e-04, 1.11724987283642060e-04, 1.56394991495607550e-05,
455 1.100000e+00, 7.50260105595117910e-01, 1.87369879547520460e-01, -4.68912058409069810e-02, -3.87915850373224920e-03, 4.87839910350648060e-03, -6.37369522318305400e-04, -3.12151769446088590e-04, 1.19649447598686270e-04, 4.39535348760824660e-06,
456 1.200000e+00, 7.68524783499018090e-01, 1.77894440646805430e-01, -4.77690661603623610e-02, -1.99735857190554190e-03, 4.51709579145437390e-03, -7.99430009776364570e-04, -2.28103804212773750e-04, 1.19213830328362910e-04, -5.14980858689474360e-06,
457 1.300000e+00, 7.85834983042559390e-01, 1.68298362469059830e-01, -4.81055595824342180e-02, -2.74611731590405520e-04, 4.08729027151194960e-03, -9.11658508830296780e-04, -1.46836905411708300e-04, 1.11995839548817050e-04, -1.25083357559637600e-05,
458 1.400000e+00, 8.02183888558581470e-01, 1.58684897495614790e-01, -4.79520193807447880e-02, 1.26658622274202650e-03, 3.61325966507915430e-03, -9.77022016894534080e-04, -7.24646867350922030e-05, 9.98277933086790470e-05, -1.75234957455372060e-05,
459 1.500000e+00, 8.17574476193643650e-01, 1.49146452070332860e-01, -4.73651063923763370e-02, 2.61307784655404700e-03, 3.11724537099207850e-03, -1.00056620297502270e-03, -7.80102976522905780e-06, 8.45551079739369940e-05, -2.03066444225203900e-05,
460 1.600000e+00, 8.32018385133924680e-01, 1.39763791933060880e-01, -4.64041484978087170e-02, 3.76004778666888090e-03, 2.61860738066120330e-03, -9.88646731697842430e-04, 4.55814033575266490e-05, 6.78538337828735700e-05, -2.11556871820008980e-05,
461 1.700000e+00, 8.45534734916465690e-01, 1.30605746966207800e-01, -4.51288221565356030e-02, 4.70976335376686790e-03, 2.13334834774818110e-03, -9.48229364517820420e-04, 8.71882334678036630e-05, 5.11149154480668850e-05, -2.04723258355812330e-05,
462 1.800000e+00, 8.58148935099512730e-01, 1.21729340287085030e-01, -4.35972335941857140e-02, 5.47019109445189610e-03, 1.67395968424669120e-03, -8.86307608006953510e-04, 1.17381772299137870e-04, 3.53908570690065840e-05, -1.86903606637618860e-05,
463 1.900000e+00, 8.69891525637002010e-01, 1.13180259261931090e-01, -4.18644187703871160e-02, 6.05360545705724280e-03, 1.24952420608354210e-03, -8.09460731799582210e-04, 1.37140621784980930e-04, 2.13929590802673740e-05, -1.62216037519927020e-05,
464 2.000000e+00, 8.80797077977882430e-01, 1.04993585403506520e-01, -3.99812505280765300e-02, 6.47527792470100220e-03, 8.66003964518882580e-04, -7.23553848759599000e-04, 1.47830679701737250e-04, 9.52409466015653990e-06, -1.34210561408648320e-05,
465 2.100000e+00, 8.90903178804387190e-01, 9.71947048006252950e-02, -3.79937190695184560e-02, 6.75230682549018880e-03, 5.26645053446529490e-04, -6.33566815394946450e-04, 1.51007140072426080e-04, -6.78431444195273990e-08, -1.05695507215487880e-05,
466 2.200000e+00, 9.00249510880315130e-01, 8.98003290400685160e-02, -3.59425377751787790e-02, 6.90262241097351280e-03, 2.32440237481248250e-04, -5.43529946386249270e-04, 1.48257384045381190e-04, -7.42839527943956290e-06, -7.87016077876311010e-06,
467 2.300000e+00, 9.08877038985144270e-01, 8.28195669907408480e-02, -3.38630193212059100e-02, 6.94418048858966300e-03, -1.73976795857944340e-05, -4.56541019292191090e-04, 1.41086975496147570e-04, -1.27361870108446520e-05, -5.45406812893927270e-06,
468 2.400000e+00, 9.16827303506077550e-01, 7.62549990518523320e-02, -3.17851656336421080e-02, 6.89434162824405490e-03, -2.24986027547160530e-04, -3.74838428925960460e-04, 1.30845663828534150e-04, -1.62496950231642210e-05, -3.39187260641409450e-06,
469 2.500000e+00, 9.24141819978756440e-01, 7.01037165451081630e-02, -2.97339179227170370e-02, 6.76942168408115490e-03, -3.93368339730086620e-04, -2.99908237158971970e-04, 1.18687212286738230e-04, -1.82641271644429910e-05, -1.70710132276501460e-06,
470 2.600000e+00, 9.30861579656653280e-01, 6.43582991757734310e-02, -2.77295184468892250e-02, 6.58439252316387910e-03, -5.26168559702410540e-04, -2.32607033498257950e-04, 1.05555593802384450e-04, -1.90791914477173410e-05, -3.89617153928184060e-07,
471 2.700000e+00, 9.37026643943003720e-01, 5.90077124839150850e-02, -2.57879425535990910e-02, 6.35270861473479200e-03, -6.27307713045430010e-04, -1.73287043781767810e-04, 9.21901110565374300e-05, -1.89770546921191960e-05, 5.92484434840341820e-07,
472 2.800000e+00, 9.42675824101131490e-01, 5.40381147563840990e-02, -2.39213669826538470e-02, 6.08623461297321240e-03, -7.00781674416260940e-04, -1.21914175348934030e-04, 7.91428101009795250e-05, -1.82089651359146990e-05, 1.28317708681261880e-06,
473 2.900000e+00, 9.47846436921582210e-01, 4.94335689366433020e-02, -2.21386477125931100e-02, 5.79525041829335050e-03, -7.50494941518227080e-04, -7.81733147369432530e-05, 6.68027637707623900e-05, -1.69886858896900930e-05, 1.73116951598277200e-06,
474 3.000000e+00, 9.52574126822433250e-01, 4.51766597309121370e-02, -2.04457873304717400e-02, 5.48851270404273740e-03, -7.80143233713328820e-04, -4.15580551386109330e-05, 5.54231098116953620e-05, -1.54908971165042420e-05, 1.98477178874566190e-06,
475 3.100000e+00, 9.56892745058913970e-01, 4.12490195125302800e-02, -1.88463777560686640e-02, 5.17335497467660920e-03, -7.93136875871795610e-04, -1.14441252533540270e-05, 4.51479527965794610e-05, -1.38529346180267520e-05, 2.08862370841833540e-06,
476 3.200000e+00, 9.60834277203235780e-01, 3.76317689545712720e-02, -1.73420090460590200e-02, 4.85581145777831070e-03, -7.92556942875540260e-04, 1.28527968678344200e-05, 3.60372788765845660e-05, -1.21785339929207800e-05, 2.08188494032338610e-06,
477 3.300000e+00, 9.64428810727363970e-01, 3.43058797663663290e-02, -1.59326389408494530e-02, 4.54075324118333870e-03, -7.81136715871746850e-04, 3.20333477669136790e-05, 2.80888515200175560e-05, -1.05425695254940430e-05, 1.99749627553838900e-06,
478 3.400000e+00, 9.67704535301549650e-01, 3.12524676583614820e-02, -1.46169208631806680e-02, 4.23202787498998340e-03, -7.61261892057005900e-04, 4.67828549658594210e-05, 2.12566585862236030e-05, -8.99607145360522770e-06, 1.86217080497491890e-06,
479 3.500000e+00, 9.70687769248643640e-01, 2.84530238797355600e-02, -1.33924903383311200e-02, 3.93259607872179120e-03, -7.34984014121930130e-04, 5.77497348688372760e-05, 1.54658929379206620e-05, -7.57105242822983730e-06, 1.69683959383878260e-06,
480 3.600000e+00, 9.73403006423134150e-01, 2.58895935095379770e-02, -1.22562114024881400e-02, 3.64466119950055150e-03, -7.04042619029962590e-04, 6.55318946370028460e-05, 1.06247064779465970e-05, -6.28486711652862430e-06, 1.51734380667807310e-06,
481 3.700000e+00, 9.75872978582330910e-01, 2.35449082551804700e-02, -1.12043856218404410e-02, 3.36978867111854600e-03, -6.69892570298140370e-04, 7.06693116302657790e-05, 6.63311834132022210e-06, -5.14397050514005120e-06, 1.33522575415529580e-06,
482 3.800000e+00, 9.78118729063869650e-01, 2.14024809183500400e-02, -1.02329269754952420e-02, 3.10901396359800210e-03, -6.33733890292697130e-04, 7.36412131670987950e-05, 3.38951570113992980e-06, -4.14703775227697050e-06, 1.15852126130838430e-06,
483 3.900000e+00, 9.80159694265922640e-01, 1.94466680024557300e-02, -9.33750616255004350e-03, 2.86293843734488620e-03, -5.96542131231841840e-04, 7.48665453514710520e-05, 7.95188183514702470e-07, -3.28747035475217040e-06, 9.92494306357317580e-07,
484 4.000000e+00, 9.82013790037908450e-01, 1.76627062132911140e-02, -8.51366796419456350e-03, 2.63181317810481970e-03, -5.59097914300470120e-04, 7.47066762395398010e-05, -1.24269413614214560e-06, -2.55534876234905550e-06, 8.40282944541781740e-07,
485 4.100000e+00, 9.83697500628559100e-01, 1.60367278856850850e-02, -7.75692519656619260e-03, 2.41561133966800450e-03, -5.22014734440236390e-04, 7.34695105422522440e-05, -2.80929796912433010e-06, -1.93890813171395740e-06, 7.03444793457820960e-07,
486 4.200000e+00, 9.85225968306726930e-01, 1.45557596807991810e-02, -7.06283258555579810e-03, 2.21408980691468420e-03, -4.85764488348582080e-04, 7.14143932084043720e-05, -3.98123376869768300e-06, -1.42561795102166160e-06, 5.82402709583479820e-07,
487 4.300000e+00, 9.86613082172335230e-01, 1.32077082587400730e-02, -6.42704362421851400e-03, 2.02684115234202150e-03, -4.50700451530002570e-04, 6.87573457418927490e-05, -4.82630245069904450e-06, -1.00294258400730340e-06, 4.76798514972928770e-07,
488 4.400000e+00, 9.87871565015725820e-01, 1.19813360491064070e-02, -5.84535316925687610e-03, 1.85333692799611760e-03, -4.17077623458163860e-04, 6.56763134025453160e-05, -5.40368325106174610e-06, -6.58851848354832670e-07, 3.85766258848206380e-07,
489 4.500000e+00, 9.89013057369406810e-01, 1.08662297222252340e-02, -5.31372821854368160e-03, 1.69296333866136780e-03, -3.85070493374473810e-04, 6.23162067713295410e-05, -5.76440909701650410e-06, -3.82140937580884150e-07, 3.08137729042538020e-07,
490 4.600000e+00, 9.90048198133095750e-01, 9.85276350650618640e-03, -4.82832900299487880e-03, 1.54505030236922430e-03, -3.54788366451459870e-04, 5.87936015930567060e-05, -5.95201382230377430e-06, -1.62608851827789640e-07, 2.42592671010626930e-07,
491 4.700000e+00, 9.90986701347152170e-01, 8.93205910024237080e-03, -4.38552223386581410e-03, 1.40889483693683920e-03, -3.26288442377168090e-04, 5.52010205716216920e-05, -6.00326657261755740e-06, 8.86506405301201780e-09, 1.87765077032699150e-07,
492 4.800000e+00, 9.91837428846840120e-01, 8.09594358532946330e-03, -3.98188807709751180e-03, 1.28377962835140660e-03, -2.99586865189515150e-04, 5.16107638858808760e-05, -5.94893341840661460e-06, 1.40315385838889720e-07, 1.42315417642172960e-07,
493 4.900000e+00, 9.92608458655718120e-01, 7.33690646083770200e-03, -3.61422218297444010e-03, 1.16898754705786820e-03, -2.74667971829368530e-04, 4.80782851857429910e-05, -5.81452533962046400e-06, 2.38731847095225350e-07, 1.04977086195802830e-07,
494 5.000000e+00, 9.93307149075715160e-01, 6.64805667079015460e-03, -3.27953388316128140e-03, 1.06381278763365480e-03, -2.51491963154407420e-04, 4.46451297657817080e-05, -5.62100625972984250e-06, 3.10129709169231030e-07, 7.45837869158400470e-08,
495 5.100000e+00, 9.93940198508415860e-01, 6.02308029746670070e-03, -2.97504147776283090e-03, 9.67569219974718500e-04, -2.30001209438043020e-04, 4.13414640178132570e-05, -5.38544554286533600e-06, 3.59636242105717580e-07, 5.00832087848591070e-08,
496 5.200000e+00, 9.94513701100549600e-01, 5.45619942383627960e-03, -2.69816537102396480e-03, 8.79596458486708520e-04, -2.10125385909201100e-04, 3.81882321625761050e-05, -5.12160710363574680e-06, 3.91584076958449200e-07, 3.05411323561951730e-08,
497 5.300000e+00, 9.95033198349943080e-01, 4.94213253142593120e-03, -2.44651967370107920e-03, 7.99264081279476690e-04, -1.91785615006918260e-04, 3.51989792480763220e-05, -4.84047268317013990e-06, 4.09605096400368890e-07, 1.51391212973002660e-08,
498 5.400000e+00, 9.95503726839058860e-01, 4.47605668860335490e-03, -2.21790277074585940e-03, 7.25974364620968290e-04, -1.74897772363819330e-04, 3.23813797045458010e-05, -4.55070047506629860e-06, 4.16720717412710390e-07, 3.16814392573476410e-09,
499 5.500000e+00, 9.95929862284103850e-01, 4.05357169486976650e-03, -2.01028725239550500e-03, 6.59163838992845080e-04, -1.59375094194757470e-04, 2.97385092867708520e-05, -4.25902259388678110e-06, 4.15426030123352990e-07, -5.98016885505318570e-09,
500 5.600000e+00, 9.96315760100564000e-01, 3.67066627579938630e-03, -1.82180952274887910e-03, 5.98303921724940090e-04, -1.45130205452988760e-04, 2.72698956944830560e-05, -3.97058622553927970e-06, 4.07766414969878050e-07, -1.28234186230422650e-08,
501 5.700000e+00, 9.96665192692586690e-01, 3.32368636763575840e-03, -1.65075933023153730e-03, 5.42900836868885190e-04, -1.32076671237156660e-04, 2.49723800306181780e-05, -3.68924396212467030e-06, 3.95406070736085290e-07, -1.77986544427550980e-08,
502 5.800000e+00, 9.96981583675291550e-01, 3.00930548759914500e-03, -1.49556940698976870e-03, 4.92494995082163160e-04, -1.20130158692274330e-04, 2.28408178788691450e-05, -3.41779901612000880e-06, 3.79688433955302940e-07, -2.12723568777360370e-08,
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561 1.170000e+01, 9.99991706249626080e-01, 8.29368158759631130e-06, -4.14677200807338770e-06, 1.38221147944510870e-06, -3.45529941999464300e-07, 6.90968175118823230e-08, -1.15130794176649890e-08, 1.64385230486977710e-09, -2.05263227179602160e-10,
562 1.180000e+01, 9.99992495498402860e-01, 7.50444527956575040e-06, -3.75216632266128950e-06, 1.25068456322867110e-06, -3.12652368961592510e-07, 6.25229652442683430e-08, -1.04179914531162750e-08, 1.48756946140725130e-09, -1.85767439983336050e-10,
563 1.190000e+01, 9.99993209641301890e-01, 6.79031258912383860e-06, -3.39511018590376710e-06, 1.13167265650891500e-06, -2.82902794965877070e-07, 5.65744114695242290e-08, -9.42701947414724110e-09, 1.34613163960855980e-09, -1.68120109240106090e-10,
564 1.200000e+01, 9.99993855825397790e-01, 6.14413685133317550e-06, -3.07203067501699310e-06, 1.02398505813788140e-06, -2.55983681274537310e-07, 5.11917030553082150e-08, -8.53027282820451160e-09, 1.21813108896187020e-09, -1.52146565740089000e-10,
565 1.210000e+01, 9.99994440517666390e-01, 5.55945142579066820e-06, -2.77969480522334770e-06, 9.26544330131622270e-07, -2.31625780190364130e-07, 4.63210351783787160e-08, -7.71879894849246740e-09, 1.10229312885685030e-09, -1.37688538516805890e-10,
566 1.220000e+01, 9.99994969569698240e-01, 5.03040499652609140e-06, -2.51517719316132110e-06, 8.38375527779919400e-07, -2.09585447070190430e-07, 4.19137155214044240e-08, -6.98449465133022680e-09, 9.97463647539518500e-10, -1.24602634882611740e-10,
567 1.230000e+01, 9.99995448276255190e-01, 4.55170302661081300e-06, -2.27583079521066120e-06, 7.58596453101359750e-07, -1.89642207361636460e-07, 3.79256791492816810e-08, -6.32002577174939780e-09, 9.02597761305668940e-10, -1.12758957765584690e-10,
568 1.240000e+01, 9.99995881428255130e-01, 4.11855478219938940e-06, -2.05926042853633910e-06, 6.86408834539737520e-07, -1.71596554534475850e-07, 3.43170492981490410e-08, -5.71875436249462110e-09, 8.16749528846053340e-10, -1.02039848611428460e-10,
569 1.250000e+01, 9.99996273360715840e-01, 3.72662539634620680e-06, -1.86329881038450400e-06, 6.21090344987523090e-07, -1.55267957048707560e-07, 3.10517397537616080e-08, -5.17467275194488770e-09, 7.39062624692496680e-10, -9.23387449901975160e-11,
570 1.260000e+01, 9.99996627996136310e-01, 3.37199249328072390e-06, -1.68598487626864630e-06, 5.61987378546745830e-07, -1.40493054560707270e-07, 2.80970948990030250e-08, -4.68234382074757800e-09, 6.68761884064919670e-10, -8.35591428840212360e-11,
571 1.270000e+01, 9.99996948883751350e-01, 3.05110693938728140e-06, -1.52554416041168150e-06, 5.08508513977657970e-07, -1.27124025435932610e-07, 2.54235638765753120e-08, -4.23684691561620810e-09, 6.05145639118406560e-10, -7.56136544244528810e-11,
572 1.280000e+01, 9.99997239235049800e-01, 2.76075732836992650e-06, -1.38037104238289500e-06, 4.60118599613961530e-07, -1.15027109329103450e-07, 2.30044056455347370e-08, -3.83372887222818370e-09, 5.47578773672759970e-10, -6.84231525942881740e-11,
573 1.290000e+01, 9.99997501955914410e-01, 2.49803784540252620e-06, -1.24901268249259760e-06, 4.16333400707343890e-07, -1.04081270126766200e-07, 2.08154220123400230e-08, -3.46895966789292030e-09, 4.95486430012472260e-10, -6.19159951078822260e-11,
574 1.300000e+01, 9.99997739675702050e-01, 2.26031918883764270e-06, -1.13015448536443780e-06, 3.76714755763438350e-07, -9.41769859371668570e-08, 1.88347159911528980e-08, -3.13889226903028720e-09, 4.48348307309722370e-10, -5.60273203362117570e-11,
575 1.310000e+01, 9.99997954773558460e-01, 2.04522225861253610e-06, -1.02260694636362590e-06, 3.40866193501335580e-07, -8.52151540718136390e-08, 1.70424730968043850e-08, -2.84022627887281730e-09, 4.05693496684508060e-10, -5.06984087491533260e-11,
576 1.320000e+01, 9.99998149402227090e-01, 1.85059434815133000e-06, -9.25293749369885780e-07, 3.08428966659113580e-07, -7.71061001041075170e-08, 1.54207633994051250e-08, -2.56997502752137550e-09, 3.67095802910523550e-10, -4.58761039091408600e-11,
577 1.330000e+01, 9.99998325509594440e-01, 1.67448760159332860e-06, -8.37240996883241340e-07, 2.79078463023493540e-07, -6.97686811239346070e-08, 1.39533623741242100e-08, -2.32543577985619090e-09, 3.32169507337571490e-10, -4.15122875693579500e-11,
578 1.340000e+01, 9.99998484858183550e-01, 1.51513952083031450e-06, -7.57567464763911470e-07, 2.52520957823951480e-07, -6.31294742432537220e-08, 1.26255887651222860e-08, -2.10416276712682460e-09, 3.00565530764879660e-10, -3.75634039080735170e-11,
579 1.350000e+01, 9.99998629042793130e-01, 1.37095532733418150e-06, -6.85475784146004530e-07, 2.28490675037187380e-07, -5.71220422554890060e-08, 1.14241578507341960e-08, -1.90394277558092690e-09, 2.71967958795808980e-10, -3.39900283708562110e-11,
580 1.360000e+01, 9.99998759506458890e-01, 1.24049200230635130e-06, -6.20244462330858940e-07, 2.06747128230650730e-07, -5.16862691192765790e-08, 1.03370486493598750e-08, -1.72277305049099810e-09, 2.46090895663075560e-10, -3.07564769965723200e-11,
581 1.370000e+01, 9.99998877554894690e-01, 1.12244384546689700e-06, -5.61220662851848130e-07, 1.87072714364296580e-07, -4.67677586323083690e-08, 9.35338374359172940e-09, -1.55884129662682110e-09, 2.22675615662537220e-10, -2.78304524736294260e-11,
582 1.380000e+01, 9.99998984369560470e-01, 1.01562940799105980e-06, -5.07813672491387920e-07, 1.69270536495415590e-07, -4.23172902904494250e-08, 8.46332052519952860e-09, -1.41050757680551750e-09, 2.01487984198645400e-10, -2.51827235121774230e-11,
583 1.390000e+01, 9.99999081019486650e-01, 9.18979668846808110e-07, -4.59488989898996230e-07, 1.53162433617502940e-07, -3.82903268972099070e-08, 7.65795277692489650e-09, -1.27628792882307610e-09, 1.82316123050208660e-10, -2.27868344282110090e-11,
584 1.400000e+01, 9.99999168471972340e-01, 8.31527336225271330e-07, -4.15762976674349830e-07, 1.38587197933167670e-07, -3.46465690045819890e-08, 6.92922160969115450e-09, -1.15483953800280790e-09, 1.64968296833256300e-10, -2.06188421188755080e-11,
585 1.410000e+01, 9.99999247602266880e-01, 7.52397167011296440e-07, -3.76198017403725340e-07, 1.25398961733719140e-07, -3.13495517333212480e-08, 6.26983486681250500e-09, -1.04494731794733730e-09, 1.49270999789335270e-10, -1.86570778668548890e-11,
586 1.420000e+01, 9.99999319202329100e-01, 6.80797207426378850e-07, -3.40398140228036230e-07, 1.13465737752892160e-07, -2.83662799435664040e-08, 5.67319419099261900e-09, -9.45511765996212160e-10, 1.35067223981535910e-10, -1.68819316474784270e-11,
587 1.430000e+01, 9.99999383988753320e-01, 6.16010867192104680e-07, -3.08005054126430060e-07, 1.02668098395962280e-07, -2.56668981094086800e-08, 5.13332902615417150e-09, -8.55537972502435670e-10, 1.22214891754338360e-10, -1.52756568269569580e-11,
588 1.440000e+01, 9.99999442609941450e-01, 5.57389747901928650e-07, -2.78694563267460070e-07, 9.28979806336570320e-08, -2.32243915974626420e-08, 4.64483689518981040e-09, -7.74125674469692400e-10, 1.10585436923242510e-10, -1.38221933357031860e-11,
589 1.450000e+01, 9.99999495652591830e-01, 5.04347153835143390e-07, -2.52173322551391810e-07, 8.40576046064723110e-08, -2.10143163630518180e-08, 4.20282935724158810e-09, -7.00460254446204730e-10, 1.00062520620668450e-10, -1.25070075785966340e-11,
590 1.460000e+01, 9.99999543647571490e-01, 4.56352220275225500e-07, -2.28175901880168750e-07, 7.60584951218552990e-08, -1.90145543614346250e-08, 3.80288310471801340e-09, -6.33804594951415360e-10, 9.05408690493893990e-11, -1.13169475058356990e-11,
591 1.470000e+01, 9.99999587075228960e-01, 4.12924600573522180e-07, -2.06462129779964910e-07, 6.88205962555279310e-08, -1.72050922283712700e-08, 3.44099571150165140e-09, -5.73491707208582470e-10, 8.19252215961030130e-11, -1.02401114150637630e-11,
592 1.480000e+01, 9.99999626370201570e-01, 3.73629658790020030e-07, -1.86814689795835930e-07, 6.22714701992147370e-08, -1.55678210168108540e-08, 3.11354559018851020e-09, -5.18918060651933660e-10, 7.41293788468815700e-11, -9.26572918904046500e-12,
593 1.490000e+01, 9.99999661925765950e-01, 3.38074119802057690e-07, -1.69036945606879720e-07, 5.63455723395658040e-08, -1.40863549868900440e-08, 2.81725575819483420e-09, -4.69537546646774780e-10, 6.70753410335421040e-11, -8.38405479444785790e-12,
594 1.500000e+01, 9.99999694097773120e-01, 3.05902133349452300e-07, -1.52950973098582340e-07, 5.09835953154601910e-08, -1.27458676368528910e-08, 2.54916105057859740e-09, -4.24856016172213160e-10, 6.06925283347279390e-11, -7.58626897755046640e-12,
595 1.510000e+01, 9.99999723208210730e-01, 2.76791712626669860e-07, -1.38395779699661530e-07, 4.61318754907927890e-08, -1.15329433348335780e-08, 2.30657845183041010e-09, -3.84426336931071180e-10, 5.49170752662939320e-11, -6.86439119237450490e-12,
596 1.520000e+01, 9.99999749548425520e-01, 2.50451511780763260e-07, -1.25225693164406170e-07, 4.17418559041674510e-08, -1.04354430674030120e-08, 2.08708025003213170e-09, -3.47843920526066450e-10, 4.96911921302037290e-11, -6.21119988774924510e-12,
597 1.530000e+01, 9.99999773382038600e-01, 2.26617910065157680e-07, -1.13308903676890040e-07, 3.77696003218491190e-08, -9.44238296191389390e-09, 1.88846974496866160e-09, -3.14742675026023120e-10, 4.49625871566244580e-11, -5.62016036179704430e-12,
598 1.540000e+01, 9.99999794947584510e-01, 2.05052373468196750e-07, -1.02526144687613890e-07, 3.41753535315569260e-08, -8.54382436740518010e-09, 1.70875926729129500e-09, -2.84791342487242120e-10, 4.06839435767306050e-11, -5.08535946704138450e-12,
599 1.550000e+01, 9.99999814460898140e-01, 1.85539067412074810e-07, -9.27694992812854920e-08, 3.09231434772669350e-08, -7.73077439440740950e-09, 1.54615028892062660e-09, -2.57690184834589790e-10, 3.68124464096959630e-11, -4.60144651691731410e-12,
600 1.560000e+01, 9.99999832117275170e-01, 1.67882696630342710e-07, -8.39413201305668000e-08, 2.79804212537906240e-08, -6.99509591858538340e-09, 1.39901542577429730e-09, -2.33167984982521050e-10, 3.33093542418082680e-11, -4.16357980575916520e-12,
601 1.570000e+01, 9.99999848093426350e-01, 1.51906550605678100e-07, -7.59532522272354270e-08, 2.53177353586795660e-08, -6.32942614780639910e-09, 1.26588215281746030e-09, -2.10979333222425560e-10, 3.01396117234032380e-11, -3.76737820988777190e-12,
602 1.580000e+01, 9.99999862549246110e-01, 1.37450735006717020e-07, -6.87253486106513630e-08, 2.29084369417482830e-08, -5.72710293787126690e-09, 1.14541806854910020e-09, -1.90902171750383300e-10, 2.72714989147432330e-11, -3.40887738775178280e-12,
603 1.590000e+01, 9.99999875629413060e-01, 1.24370571424198600e-07, -6.21852702440583400e-08, 2.07284131026607290e-08, -5.18209811965393330e-09, 1.03641756152715300e-09, -1.72735572787080440e-10, 2.46763139790698300e-11, -3.08449014268216460e-12,
604 1.600000e+01, 9.99999887464837920e-01, 1.12535149390932300e-07, -5.62675620313048730e-08, 1.87558455676622010e-08, -4.68895717053024010e-09, 9.37789745552565470e-10, -1.56297728074587390e-10, 2.23280860534098520e-11, -2.79097055313068040e-12,
605 1.610000e+01, 9.99999898173973390e-01, 1.01826016194119430e-07, -5.09129977285210830e-08, 1.69709923304823300e-08, -4.24274462644235940e-09, 8.48547542817657510e-10, -1.41424129646242390e-10, 2.02033154286029420e-11, -2.52538151268419670e-12,
606 1.620000e+01, 9.99999907864000170e-01, 9.21359913675753000e-08, -4.60679871947459620e-08, 1.53559900722216440e-08, -3.83899468837582570e-09, 7.67797805803683330e-10, -1.27965923676962550e-10, 1.82807384424077860e-11, -2.28506535603968290e-12,
607 1.630000e+01, 9.99999916631899020e-01, 8.33680939991463290e-08, -4.16840400493334860e-08, 1.38946753829519570e-08, -3.47366652899215460e-09, 6.94732379100357940e-10, -1.15788420950832340e-10, 1.65411147361098290e-11, -2.06761727781812690e-12,
608 1.640000e+01, 9.99999924565422190e-01, 7.54345721176905650e-08, -3.77172803684701810e-08, 1.25724229959070900e-08, -3.14310385218560890e-09, 6.28620011720849680e-10, -1.04769749048147460e-10, 1.49670347482546070e-11, -1.87086127889144730e-12,
609 1.650000e+01, 9.99999931743970950e-01, 6.82560244455773610e-08, -3.41280075639034880e-08, 1.13759994153780210e-08, -2.84399830088317200e-09, 5.68799038992244420e-10, -9.47996327706489370e-11, 1.35427455211542820e-11, -1.69282840006403590e-12,
610 1.660000e+01, 9.99999938239390480e-01, 6.17606057270576150e-08, -3.08802990491561490e-08, 1.02934304734705160e-08, -2.57335634691037160e-09, 5.14670760799277450e-10, -8.57782906056669390e-11, 1.22539930786762880e-11, -1.53173702573830780e-12,
611 1.670000e+01, 9.99999944116689240e-01, 5.58833076792934510e-08, -2.79416507167024730e-08, 9.31388149027149750e-09, -2.32846933158667510e-09, 4.65693449924934020e-10, -7.76154361900612390e-11, 1.10878797993319290e-11, -1.38597506082502580e-12,
612 1.680000e+01, 9.99999949434689060e-01, 5.05653083696535580e-08, -2.52826516279762380e-08, 8.42754883809184870e-09, -2.10688635723961050e-09, 4.21376930534639630e-10, -7.02293747847081970e-11, 1.00327353584759990e-11, -1.25408380283645340e-12,
613 1.690000e+01, 9.99999954246614360e-01, 4.57533835077131030e-08, -2.28766896604843540e-08, 7.62556182458008140e-09, -1.90638975835440750e-09, 3.81277672554679400e-10, -6.35461857204007500e-11, 9.07799994900577560e-12, -1.13474334800917420e-12,
614 1.700000e+01, 9.99999958600624520e-01, 4.13993737600350160e-08, -2.06996851661092910e-08, 6.89989391276435460e-09, -1.72497290688843790e-09, 3.44994352856659150e-10, -5.74989826357830220e-11, 8.21411861264436620e-12, -1.02675938560909540e-12,
615 1.710000e+01, 9.99999962540295880e-01, 3.74597027564935260e-08, -1.87298499750173800e-08, 6.24328238951959010e-09, -1.56082012963683560e-09, 3.12163838830165950e-10, -5.20272441059724400e-11, 7.43244562493773470e-12, -9.29051248425964030e-13,
616 1.720000e+01, 9.99999966105057920e-01, 3.38949409642348850e-08, -1.69474693332503790e-08, 5.64915567850545770e-09, -1.41228853667072560e-09, 2.82457554151907220e-10, -4.70762079645806580e-11, 6.72515797759035930e-12, -8.40641100005626450e-13,
617 1.730000e+01, 9.99999969330587990e-01, 3.06694110644097520e-08, -1.53347045915920700e-08, 5.11156757012218340e-09, -1.27789157899298040e-09, 2.55578190383583000e-10, -4.25963232589326220e-11, 6.08517709270804790e-12, -7.60644150518967430e-13,
618 1.740000e+01, 9.99999972249168370e-01, 2.77508308821900330e-08, -1.38754146709863800e-08, 4.62513771025639040e-09, -1.15628417086124560e-09, 2.31256731491117960e-10, -3.85427543548140800e-11, 5.50609798582152590e-12, -6.88259803440484810e-13,
619 1.750000e+01, 9.99999974890009020e-01, 2.51099902964165140e-08, -1.25549945176966280e-08, 4.18499775222447320e-09, -1.04624922788559510e-09, 2.09249761508916940e-10, -3.48749322287556890e-11, 4.98212516904363390e-12, -6.22763644507803410e-13,
620 1.760000e+01, 9.99999977279540600e-01, 2.27204588952999930e-08, -1.13602289314307310e-08, 3.78674263299741260e-09, -9.46685486176279800e-10, 1.89337028406031900e-10, -3.15561484579332660e-11, 4.50801465311386740e-12, -5.63500192849079330e-13,
621 1.770000e+01, 9.99999979441678180e-01, 2.05583214523152080e-08, -1.02791603035130130e-08, 3.42638648607461990e-09, -8.56596480637136030e-10, 1.71319239774823510e-10, -2.85531878449379760e-11, 4.07902146807789830e-12, -5.09876341781741150e-13,
622 1.780000e+01, 9.99999981398061120e-01, 1.86019385748511750e-08, -9.30096894139346290e-09, 3.10032274977641010e-09, -7.75080572100068920e-10, 1.55016068282403210e-10, -2.58359960011984590e-11, 3.69085217754266420e-12, -4.61355423678786930e-13,
623 1.790000e+01, 9.99999983168269550e-01, 1.68317301301231750e-08, -8.41586478175444280e-09, 2.80528807171338990e-09, -7.01321923492638810e-10, 1.40264346924246440e-10, -2.33773785626150360e-11, 3.33962191139516880e-12, -4.17451839537109420e-13,
624 1.800000e+01, 9.99999984770020500e-01, 1.52299792808080730e-08, -7.61498940845176490e-09, 2.53832964818240970e-09, -6.34582334728182720e-10, 1.26916436018670270e-10, -2.11527290274570720e-11, 3.02181548706907280e-12, -3.77726199527563320e-13,
625 1.810000e+01, 9.99999986219344610e-01, 1.37806551691327910e-08, -6.89032739465993630e-09, 2.29677567161567480e-09, -5.74193854601768850e-10, 1.14838745599494990e-10, -1.91397824929634930e-11, 2.73425223034198820e-12, -3.41780925915358260e-13,
626 1.820000e+01, 9.99999987530747370e-01, 1.24692524747864200e-08, -6.23462608191095050e-09, 2.07820859031547940e-09, -5.19552095751452490e-10, 1.03910398419324440e-10, -1.73183928262324930e-11, 2.47405414365580530e-12, -3.09256274362693850e-13,
627 1.830000e+01, 9.99999988717353630e-01, 1.12826462409003450e-08, -5.64132299315206480e-09, 1.88044091285195110e-09, -4.70110185780287060e-10, 9.40220201829777590e-11, -1.56703310394700660e-11, 2.23861710344074940e-12, -2.79826733809259210e-13,
628 1.840000e+01, 9.99999989791039430e-01, 1.02089605151518090e-08, -5.10448015335302930e-09, 1.70149331496909350e-09, -4.25373294001316050e-10, 8.50746449038807820e-11, -1.41791028518528920e-11, 2.02558479822844680e-12, -2.53197768912388570e-13,
629 1.850000e+01, 9.99999990762550420e-01, 9.23744949130964340e-09, -4.61872466032434790e-09, 1.53957482988780090e-09, -3.84893679028459880e-10, 7.69787244282962100e-11, -1.28297836122509570e-11, 1.83282514676019000e-12, -2.29102872454708450e-13,
630 1.860000e+01, 9.99999991641610020e-01, 8.35838996164923970e-09, -4.17919491096193710e-09, 1.39306492374552380e-09, -3.48266207648820590e-10, 6.96532322147402270e-11, -1.16088689307822070e-11, 1.65840896010956230e-12, -2.07300898227456780e-13,
631 1.870000e+01, 9.99999992437015980e-01, 7.56298400386765620e-09, -3.78149194473510020e-09, 1.26049727677921560e-09, -3.15124300128561930e-10, 6.30248523992157960e-11, -1.05041395243705370e-11, 1.50059063429142370e-12, -1.87573647703208950e-13,
632 1.880000e+01, 9.99999993156729050e-01, 6.84327092855724760e-09, -3.42163541744826620e-09, 1.14054510792918420e-09, -2.85136261372177340e-10, 5.70272460303881300e-11, -9.50453892371564860e-12, 1.35779068014539740e-12, -1.69723686350405390e-13,
633 1.890000e+01, 9.99999993807952350e-01, 6.19204760598108620e-09, -3.09602376464908920e-09, 1.03200789598872740e-09, -2.58001961216697570e-10, 5.16003871311458980e-11, -8.60006281779316590e-12, 1.22857991566633670e-12, -1.53572367739414650e-13,
634 1.900000e+01, 9.99999994397203550e-01, 5.60279637475461250e-09, -2.80139815598597900e-09, 9.33799364401108190e-10, -2.33449830636501440e-10, 4.66899619417901430e-11, -7.78165892846167970e-12, 1.11166516258882510e-12, -1.38958045668612940e-13,
635 1.910000e+01, 9.99999994930380160e-01, 5.06961981092019570e-09, -2.53480987975905280e-09, 8.44936609452320900e-10, -2.11234143796065330e-10, 4.22468253324071740e-11, -7.04113641313259240e-12, 1.00587630408506780e-12, -1.25734456420026820e-13,
636 1.920000e+01, 9.99999995412818250e-01, 4.58718170456303600e-09, -2.29359083123928190e-09, 7.64530263051603250e-10, -1.91132558748822240e-10, 3.82265089441330630e-11, -6.37108388881173700e-12, 9.10154574055845760e-13, -1.13769254956240810e-13,
637 1.930000e+01, 9.99999995849346290e-01, 4.15065365324235680e-09, -2.07532680939325240e-09, 6.91775591645800390e-10, -1.72943892168808220e-10, 3.45887761367049390e-11, -5.76479525709860340e-12, 8.23541960818220710e-13, -1.02942690410456670e-13,
638 1.940000e+01, 9.99999996244333220e-01, 3.75566673772821010e-09, -1.87783335475907260e-09, 6.25944442183002370e-10, -1.56486105844073100e-10, 3.12972192881436440e-11, -5.21620258780029460e-12, 7.45171619145671900e-13, -9.31464076153326440e-14,
639 1.950000e+01, 9.99999996601732220e-01, 3.39826779639862290e-09, -1.69913388665108740e-09, 5.66377954518213050e-10, -1.41594484780145320e-10, 2.83188954162658910e-11, -4.71981538945660100e-12, 6.74259194706837880e-13, -8.42823626773298690e-14,
640 1.960000e+01, 9.99999996925120090e-01, 3.07487986067683370e-09, -1.53743992088353070e-09, 5.12479967324586100e-10, -1.28119988679517820e-10, 2.56239964752521010e-11, -4.27066565899153560e-12, 6.10094974079608410e-13, -7.62618417444422280e-14,
641 1.970000e+01, 9.99999997217733580e-01, 2.78226635553385050e-09, -1.39113317002591930e-09, 4.63711051514635650e-10, -1.15927760298323590e-10, 2.31855510275305900e-11, -3.86425816054372880e-12, 5.52036781779190810e-13, -6.90045731477784620e-14,
642 1.980000e+01, 9.99999997482501230e-01, 2.51749870676266970e-09, -1.25874934704353510e-09, 4.19583111455978510e-10, -1.04895775751394730e-10, 2.09791543052389950e-11, -3.49652543585985230e-12, 4.99503553214271660e-13, -6.24379240317863160e-14,
643 1.990000e+01, 9.99999997722072930e-01, 2.27792703082745150e-09, -1.13896351022477420e-09, 3.79654499948956970e-10, -9.49136232575887370e-11, 1.89827239596575490e-11, -3.16378709598952840e-12, 4.51969519249915690e-13, -5.64961734333785040e-14,
644 2.000000e+01, 9.99999997938846420e-01, 2.06115361394184920e-09, -1.03057680272257050e-09, 3.43525598075287350e-10, -8.58813981027037640e-11, 1.71762790540935310e-11, -2.86271298686651670e-12, 4.08958944176434980e-13, -5.11198545352164150e-14,
645 2.010000e+01, 9.99999998134991070e-01, 1.86500891494625040e-09, -9.32504453994866920e-10, 3.10834815679450130e-10, -7.77087027604431210e-11, 1.55417400883208640e-11, -2.59028986013089150e-12, 3.70041364421770110e-13, -4.62551595106321980e-14,
646 2.020000e+01, 9.99999998312470110e-01, 1.68752985181301180e-09, -8.43764923058748870e-10, 2.81254972454411600e-10, -7.03137421643505800e-11, 1.40627480531691870e-11, -2.34379121562788890e-12, 3.34827280356277340e-13, -4.18534010040367140e-14,
647 2.030000e+01, 9.99999998473059870e-01, 1.52694015446351060e-09, -7.63470074900209110e-10, 2.54490023412372220e-10, -6.36225050759109730e-11, 1.27245007043093660e-11, -2.12075001376061900e-12, 3.02964258073152960e-13, -3.78705248574103820e-14,
648 2.040000e+01, 9.99999998618367410e-01, 1.38163258726171380e-09, -6.90816291721948200e-10, 2.30272095968043680e-10, -5.75680233557080490e-11, 1.15136044166204650e-11, -1.91893398459636310e-12, 2.74133402130800350e-13, -3.42666692063229750e-14,
649 2.050000e+01, 9.99999998749847130e-01, 1.25015286326097820e-09, -6.25076430067606910e-10, 2.08358808980614170e-10, -5.20897017241928200e-11, 1.04179401364542740e-11, -1.73632328661428310e-12, 2.48046163955918000e-13, -3.10057655329591960e-14,
650 2.060000e+01, 9.99999998868814850e-01, 1.13118508921247310e-09, -5.65592543326656920e-10, 1.88530846922499150e-10, -4.71327113040982220e-11, 9.42654209020901760e-12, -1.57109029149796130e-12, 2.24441453965363630e-13, -2.80551776835127940e-14,
651 2.070000e+01, 9.99999998976461410e-01, 1.02353859566414990e-09, -5.11769296784443690e-10, 1.70589764896393730e-10, -4.26474408748880140e-11, 8.52948803529343670e-12, -1.42158129265418420e-12, 2.03083028504486790e-13, -2.53853752372474360e-14,
652 2.080000e+01, 9.99999999073863940e-01, 9.26136020341316250e-10, -4.63068009312930200e-10, 1.54356002532491450e-10, -3.85890003472135510e-11, 7.71779995507898760e-12, -1.28629995439192380e-12, 1.83757125449920370e-13, -2.29696379582943160e-14,
653 2.090000e+01, 9.99999999161997440e-01, 8.38002525543446580e-10, -4.19001262069475020e-10, 1.39667086888326170e-10, -3.49167714879988000e-11, 6.98335420396666360e-12, -1.16389233611674490e-12, 1.66270324813525820e-13, -2.07837883723313160e-14,
654 2.100000e+01, 9.99999999241743990e-01, 7.58256041641286250e-10, -3.79128020245690870e-10, 1.26376006365262140e-10, -3.15940013996647920e-11, 6.31880020327266280e-12, -1.05313334165867850e-12, 1.50447612935973550e-13, -1.88059497917515770e-14,
655 2.110000e+01, 9.99999999313901600e-01, 6.86098439027881960e-10, -3.43049219043209910e-10, 1.14349739367249250e-10, -2.85874346849019580e-11, 5.71748687421624950e-12, -9.52914458114660960e-13, 1.36130630895985690e-13, -1.70163273676139010e-14,
656 2.120000e+01, 9.99999999379192480e-01, 6.20807540169556160e-10, -3.10403769699376070e-10, 1.03467922976190680e-10, -2.58669806155803370e-11, 5.17339607172913470e-12, -8.62232661492544680e-13, 1.23176089604941330e-13, -1.53970099771192710e-14,
657 2.130000e+01, 9.99999999438270120e-01, 5.61729891810647090e-10, -2.80864945589783040e-10, 9.36216483195673650e-11, -2.34054119747116840e-11, 4.68108235287027450e-12, -7.80180378121024880e-13, 1.11454335724711900e-13, -1.39317909638732220e-14,
658 2.140000e+01, 9.99999999491725800e-01, 5.08274224993904350e-10, -2.54137112238609450e-10, 8.47123705739746900e-11, -2.11780925573794440e-11, 4.23561847703019730e-12, -7.05936401356469130e-13, 1.00848054056096410e-13, -1.26060059368765470e-14,
659 2.150000e+01, 9.99999999540094440e-01, 4.59905537442205450e-10, -2.29952768509589620e-10, 7.66509226955211350e-11, -1.91627306033759160e-11, 3.83254609247343600e-12, -6.38757672678323810e-13, 9.12510934110227360e-14, -1.14063860049076810e-14,
660 2.160000e+01, 9.99999999583860210e-01, 4.16139739076070330e-10, -2.08069869364862890e-10, 6.93566230061727730e-11, -1.73391556938190990e-11, 3.46783111567418200e-12, -5.77971844915817840e-13, 8.25674042175323160e-14, -1.03209249774382680e-14,
661 2.170000e+01, 9.99999999623461200e-01, 3.76538807077571410e-10, -1.88269403397004230e-10, 6.27564677044804220e-11, -1.56891168788596160e-11, 3.13782335686772680e-12, -5.22970553176555670e-13, 7.47100772248225910e-14, -9.33875920300291470e-15,
662 2.180000e+01, 9.99999999659293650e-01, 3.40706402010826230e-10, -1.70353200889332250e-10, 5.67844002190568430e-11, -1.41961000160705930e-11, 2.83921998773667190e-12, -4.73203326130296410e-13, 6.76004736874283440e-14, -8.45005884241790450e-15,
663 2.190000e+01, 9.99999999691716050e-01, 3.08283901123787880e-10, -1.54141950466854970e-10, 5.13806500922590160e-11, -1.28451624913850980e-11, 2.56903248560515810e-12, -4.28172076710239100e-13, 6.11674383231901790e-14, -7.64592948868777890e-15,
664 2.200000e+01, 9.99999999721053250e-01, 2.78946809131269810e-10, -1.39473404487823600e-10, 4.64911347774003090e-11, -1.16227836684129700e-11, 2.32455672330775130e-12, -3.87426117093010900e-13, 5.53465871680641350e-14, -6.91832314898794850e-15,
665 2.210000e+01, 9.99999999747598460e-01, 2.52401510557107620e-10, -1.26200755214847310e-10, 4.20669183624780810e-11, -1.05167295693840130e-11, 2.10334590538259950e-12, -3.50557648065698950e-13, 5.00796632004138530e-14, -6.25995769780880440e-15,
666 2.220000e+01, 9.99999999771617690e-01, 2.28382331131840030e-10, -1.14191165513761530e-10, 3.80637218031481840e-11, -9.51593043340088230e-12, 1.90318607972571140e-12, -3.17197677636130170e-13, 4.53139532856885770e-14, -5.66424399512856770e-15,
667 2.230000e+01, 9.99999999793351080e-01, 2.06648878835349790e-10, -1.03324439374971130e-10, 3.44414797631878660e-11, -8.61036992656238030e-12, 1.72207397961864170e-12, -2.87012328038495440e-13, 4.10017606060865360e-14, -5.12521994019332860e-15,
668 2.240000e+01, 9.99999999813016350e-01, 1.86983637972757640e-10, -9.34918189514159360e-11, 3.11639396271633880e-11, -7.79098489513655400e-12, 1.55819697436559350e-12, -2.59699494173693080e-13, 3.70999272951259230e-14, -4.63749080089746830e-15,
669 2.250000e+01, 9.99999999830810230e-01, 1.69189792204262680e-10, -8.45948960735061490e-11, 2.81982986720852590e-11, -7.04957465847958610e-12, 1.40991492787922590e-12, -2.34985820040973830e-13, 3.35694024995018370e-14, -4.19617522156412460e-15,
670 2.260000e+01, 9.99999999846910790e-01, 1.53089254741075000e-10, -7.65446273471011700e-11, 2.55148757667428430e-11, -6.37871893387360370e-12, 1.27574378364987830e-12, -2.12623962900032170e-13, 3.03748515452576770e-14, -3.79685636875619410e-15,
671 2.270000e+01, 9.99999999861479140e-01, 1.38520885992999430e-10, -6.92604429773116690e-11, 2.30868143129785320e-11, -5.77170357184862140e-12, 1.15434071181131950e-12, -1.92390117782418320e-13, 2.74843022966878780e-14, -3.43553772617158530e-15,
672 2.280000e+01, 9.99999999874661150e-01, 1.25338880829263350e-10, -6.26694403989218490e-11, 2.08898134558340590e-11, -5.22245335872190240e-12, 1.04449066964973590e-12, -1.74081777576741110e-13, 2.48688251686159030e-14, -3.10860309620449580e-15,
673 2.290000e+01, 9.99999999886588720e-01, 1.13411309311772790e-10, -5.67056546430242640e-11, 1.89018848724333370e-11, -4.72547121382095930e-12, 9.45094241049241960e-13, -1.57515706269890320e-13, 2.25022435895129010e-14, -2.81278040785696970e-15,
674 2.300000e+01, 9.99999999897381200e-01, 1.02618796295957670e-10, -5.13093981374482180e-11, 1.71031327054623260e-11, -4.27578317285537590e-12, 8.55156633166992920e-13, -1.42526105059804710e-13, 2.03608720176785480e-14, -2.54510896877928730e-15,
675 2.310000e+01, 9.99999999907146720e-01, 9.28533266842058060e-11, -4.64266633334811670e-11, 1.54755544387458930e-11, -3.86888860681256030e-12, 7.73777720212946720e-13, -1.28962952985636000e-13, 1.84232788884655840e-14, -2.30290983368759400e-15,
676 2.320000e+01, 9.99999999915982870e-01, 8.40171643744709210e-11, -4.20085821801765730e-11, 1.40028607220196020e-11, -3.50071517815193910e-12, 7.00143034689203340e-13, -1.16690505467805710e-13, 1.66700721200499090e-14, -2.08375899259708350e-15,
677 2.330000e+01, 9.99999999923978140e-01, 7.60218740845145900e-11, -3.80109370364779650e-11, 1.26703123416397720e-11, -3.16757808348350120e-12, 6.33515615926123530e-13, -1.05585935730828360e-13, 1.50837050310157920e-14, -1.88546311052990970e-15,
678 2.340000e+01, 9.99999999931212580e-01, 6.87874362618821850e-11, -3.43937181262093800e-11, 1.14645727055819860e-11, -2.86614317481825930e-12, 5.73228634332757030e-13, -9.55381055118278960e-14, 1.36483007273187600e-14, -1.70603757589353910e-15,
679 2.350000e+01, 9.99999999937758570e-01, 6.22414462213298320e-11, -3.11207231067909190e-11, 1.03735743663476410e-11, -2.59339359029557740e-12, 5.18678717542582510e-13, -8.64464527515860870e-14, 1.23494932010329620e-14, -1.54368663783071520e-15,
680 2.360000e+01, 9.99999999943681610e-01, 5.63183894943992020e-11, -2.81591947440278380e-11, 9.38639824589477160e-12, -2.34659956041643930e-12, 4.69319911660386450e-13, -7.82199851357639110e-14, 1.11742835505470860e-14, -1.39678543374930320e-15,
681 2.370000e+01, 9.99999999949040990e-01, 5.09589861386018280e-11, -2.54794930667040940e-11, 8.49316435383681970e-12, -2.12329108759359880e-12, 4.24658217172477320e-13, -7.07763694133320710e-14, 1.01109098832148270e-14, -1.26386372715798570e-15,
682 2.380000e+01, 9.99999999953890440e-01, 4.61095974438298670e-11, -2.30547987197888400e-11, 7.68493290517888300e-12, -1.92123322558602250e-12, 3.84246644833725180e-13, -6.40411073777944180e-14, 9.14872959840117060e-15, -1.14359119305063860e-15,
683 2.390000e+01, 9.99999999958278260e-01, 4.17216890981185860e-11, -2.08608445473185910e-11, 6.95361484794573110e-12, -1.73840371140619950e-12, 3.47680742049146680e-13, -5.79467902641600380e-14, 8.27811287277588580e-15, -1.03476410357095610e-15,
684 2.400000e+01, 9.99999999962248640e-01, 3.77513454399406490e-11, -1.88756727185451600e-11, 6.29189090523161070e-12, -1.57297272583284800e-12, 3.14594544976547720e-13, -5.24324240994173280e-14, 7.49034628181943890e-15, -9.36293280703099570e-16,
685 2.410000e+01, 9.99999999965841210e-01, 3.41588299355048740e-11, -1.70794149665856120e-11, 5.69313832141732000e-12, -1.42328457996538810e-12, 2.84656915837500860e-13, -4.74428192543912290e-14, 6.77754559295334130e-15, -8.47193195414959260e-16,
686 2.420000e+01, 9.99999999969091840e-01, 3.09081874821725750e-11, -1.54540937401309710e-11, 5.15136457940677950e-12, -1.28784114453325620e-12, 2.57568228779275750e-13, -4.29280380874208080e-14, 6.13257685750054600e-15, -7.66572104154818930e-16,
687 2.430000e+01, 9.99999999972033150e-01, 2.79668845577048780e-11, -1.39834422780702910e-11, 4.66114742550199920e-12, -1.16528685611478420e-12, 2.33057371118670670e-13, -3.88428951516830370e-14, 5.54898501173698450e-15, -6.93623123984117890e-16,
688 2.440000e+01, 9.99999999974694460e-01, 2.53054836138380930e-11, -1.26527418062786780e-11, 4.21758060166598080e-12, -1.05439515020303940e-12, 2.10879029955225560e-13, -3.51465049640768190e-14, 5.02092927245075130e-15, -6.27616157023431210e-16,
689 2.450000e+01, 9.99999999977102650e-01, 2.28973484554069520e-11, -1.14486742271791870e-11, 3.81622474204353670e-12, -9.54056185336121260e-13, 1.90811236997319130e-13, -3.18018728095848100e-14, 4.54312468042591100e-15, -5.67890583388830820e-16,
690 2.460000e+01, 9.99999999979281570e-01, 2.07183776563503520e-11, -1.03591888277459260e-11, 3.45306294229580770e-12, -8.63265735430868160e-13, 1.72653147028940160e-13, -2.87755244857455290e-14, 4.11078920679855240e-15, -5.13848649487116960e-16,
691 2.470000e+01, 9.99999999981253220e-01, 1.87467633445398620e-11, -9.37338167191849080e-12, 3.12446055707186930e-12, -7.81115139150820290e-13, 1.56223027783305240e-13, -2.60371712815979360e-14, 3.71959589290838880e-15, -4.64949485497862530e-16,
692 2.480000e+01, 9.99999999983037240e-01, 1.69627729412651200e-11, -8.48138647034482390e-12, 2.82712882325645110e-12, -7.06782205718200820e-13, 1.41356441105275410e-13, -2.35594068380909870e-14, 3.36562954464492610e-15, -4.20703692167169170e-16,
693 2.490000e+01, 9.99999999984651500e-01, 1.53485516709541000e-11, -7.67427583524147330e-12, 2.55809194492343870e-12, -6.39522986152333650e-13, 1.27904597199056330e-13, -2.13174328560392550e-14, 3.04534754787128340e-15, -3.80668442736043620e-16,
694 2.500000e+01, 9.99999999986112110e-01, 1.38879438645782700e-11, -6.94397193209626070e-12, 2.31465731057017010e-12, -5.78664327578250840e-13, 1.15732865489933500e-13, -1.92888109064166970e-14, 2.75554441275317920e-15, -3.44443050981845840e-16,
695 2.510000e+01, 9.99999999987433720e-01, 1.25663312682865470e-11, -6.28316563398536010e-12, 2.09438854455651170e-12, -5.23597136086490280e-13, 1.04719427196243050e-13, -1.74532378590221670e-14, 2.49331969214078320e-15, -3.11664961016287790e-16,
696 2.520000e+01, 9.99999999988629540e-01, 1.13704867390081220e-11, -5.68524336937477280e-12, 1.89508112303873240e-12, -4.73770280716587120e-13, 9.47540561260790210e-14, -1.57923426819337060e-14, 2.25604895292020590e-15, -2.82006118704587770e-16,
697 2.530000e+01, 9.99999999989711560e-01, 1.02884418627584790e-11, -5.14422093127338680e-12, 1.71474031035389420e-12, -4.28685077553189540e-13, 8.57370154965243110e-14, -1.42895025780495160e-14, 2.04135750980577790e-15, -2.55169688389684050e-16,
698 2.540000e+01, 9.99999999990690670e-01, 9.30936717072967560e-12, -4.65468358527817370e-12, 1.55156119503494810e-12, -3.87890298729848920e-13, 7.75780597344145440e-14, -1.29296766185506780e-14, 1.84709665869245460e-15, -2.30887082061432010e-16,
699 2.550000e+01, 9.99999999991576520e-01, 8.42346375432673730e-12, -4.21173187709241450e-12, 1.40391062565016820e-12, -3.50977656388890460e-13, 7.01955312683174650e-14, -1.16992552082327010e-14, 1.67132217170365880e-15, -2.08915271237704210e-16,
700 2.560000e+01, 9.99999999992378100e-01, 7.62186519439670540e-12, -3.81093259714025940e-12, 1.27031086567469130e-12, -3.17577716399308540e-13, 6.35155432721159960e-14, -1.05859238761040960e-14, 1.51227483870575570e-15, -1.89034354653797760e-16,
701 2.570000e+01, 9.99999999993103410e-01, 6.89654882312605530e-12, -3.44827441151546520e-12, 1.14942480380678020e-12, -2.87356200935840890e-13, 5.74712401808265320e-14, -9.57854002802387150e-15, 1.36836286054230050e-15, -1.71045357416795870e-16,
702 2.580000e+01, 9.99999999993759770e-01, 6.24025543048449800e-12, -3.12012771520330850e-12, 1.04004257170847540e-12, -2.60010642914138620e-13, 5.20021285776356180e-14, -8.66702142787523540e-15, 1.23814591777340460e-15, -1.54768239598054020e-16,
703 2.590000e+01, 9.99999999994353630e-01, 5.64641661161116710e-12, -2.82320830577370160e-12, 9.41069435236645860e-13, -2.35267358798534080e-13, 4.70534717554558880e-14, -7.84224529115900320e-15, 1.12032075547500640e-15, -1.40040094333163040e-16,
704 2.600000e+01, 9.99999999994890860e-01, 5.10908902801111980e-12, -2.55454451397945690e-12, 8.51514837975750460e-13, -2.12878709485236670e-13, 4.25757418935669650e-14, -7.09595698110103680e-15, 1.01370813982582700e-15, -1.26713517395362360e-16,
705 2.610000e+01, 9.99999999995377140e-01, 4.62289492462592040e-12, -2.31144746229158880e-12, 7.70482487416282180e-13, -1.92620621846946820e-13, 3.85241243665398760e-14, -6.42068739347348420e-15, 9.17241055939117900e-16, -1.14655131924544790e-16,
706 2.620000e+01, 9.99999999995817010e-01, 4.18296830745373390e-12, -2.09148415370936970e-12, 6.97161384558125010e-13, -1.74290346133698860e-13, 3.48580692244068100e-14, -5.80967820329014760e-15, 8.29954028819262650e-16, -1.03744253546861090e-16,
707 2.630000e+01, 9.99999999996215140e-01, 3.78490624304569280e-12, -1.89245312150852060e-12, 6.30817707159956550e-13, -1.57704426785213970e-13, 3.15408853551327240e-14, -5.25681422521876490e-15, 7.50973460563626540e-16, -9.38716825249754870e-17,
708 2.640000e+01, 9.99999999996575300e-01, 3.42472479246811050e-12, -1.71236239622232650e-12, 5.70787465399622950e-13, -1.42696866345996170e-13, 2.85393732676354040e-14, -4.75656221075129030e-15, 6.79508887101247850e-16, -8.49386108504218940e-17,
709 2.650000e+01, 9.99999999996901150e-01, 3.09881913870262030e-12, -1.54940956934170750e-12, 5.16469856440834000e-13, -1.29117464107007590e-13, 2.58234928201211660e-14, -4.30391546959340840e-15, 6.14845066962833870e-16, -7.68556333398695290e-17,
710 2.660000e+01, 9.99999999997196020e-01, 2.80392750842574440e-12, -1.40196375420501020e-12, 4.67321251396428690e-13, -1.16830312846486510e-13, 2.33660625682490340e-14, -3.89434376102541680e-15, 5.56334822903795940e-16, -6.95418528380157220e-17,
711 2.670000e+01, 9.99999999997462920e-01, 2.53709852708530230e-12, -1.26854926353621420e-12, 4.22849754507780140e-13, -1.05712438624799420e-13, 2.11424877241016340e-14, -3.52374795373085620e-15, 5.03392564736955720e-16, -6.29240705716849610e-17,
712 2.680000e+01, 9.99999999997704390e-01, 2.29566168055180610e-12, -1.14783084027063300e-12, 3.82610280086697580e-13, -9.56525700199177090e-14, 1.91305140032808680e-14, -3.18841900031258660e-15, 4.55488428549162340e-16, -5.69360535519149340e-17,
713 2.690000e+01, 9.99999999997922770e-01, 2.07720058771549270e-12, -1.03860029385343170e-12, 3.46200097948267330e-13, -8.65500244856285820e-14, 1.73100048965504150e-14, -2.88500081589996880e-15, 4.12142973645204890e-16, -5.15178716919529540e-17,
714 2.700000e+01, 9.99999999998120500e-01, 1.87952881653201790e-12, -9.39764408262476450e-13, 3.13254802751803660e-13, -7.83137006867733800e-14, 1.56627401368836600e-14, -2.61045668932360430e-15, 3.72922384144227540e-16, -4.66152980068137490e-17,
715 2.710000e+01, 9.99999999998299360e-01, 1.70066800147561990e-12, -8.50334000734917720e-13, 2.83444666909711020e-13, -7.08611667264636660e-14, 1.41722333449070980e-14, -2.36203889068930450e-15, 3.37434127204601900e-16, -4.21792658913934270e-17,
716 2.720000e+01, 9.99999999998461120e-01, 1.53882804339207140e-12, -7.69414021693667660e-13, 2.56471340562977240e-13, -6.41178351399549690e-14, 1.28235670276752620e-14, -2.13726117117396640e-15, 3.05323024423354020e-16, -3.81653780454018200e-17,
717 2.730000e+01, 9.99999999998607560e-01, 1.39238919358461520e-12, -6.96194596790368790e-13, 2.32064865595497110e-13, -5.80162163982280180e-14, 1.16032432793871060e-14, -1.93387387981168440e-15, 2.76267697091335900e-16, -3.45334621302622340e-17,
718 2.740000e+01, 9.99999999998740120e-01, 1.25988584282460730e-12, -6.29942921410716320e-13, 2.09980973802513880e-13, -5.24952434500993650e-14, 1.04990486898082330e-14, -1.74984144823082500e-15, 2.49977349727104320e-16, -3.12471687108489570e-17,
719 2.750000e+01, 9.99999999998860020e-01, 1.13999185304175630e-12, -5.69995926519578510e-13, 1.89998642172326450e-13, -4.74996605426484150e-14, 9.49993210835640690e-15, -1.58332201800164190e-15, 2.26188859698017630e-16, -2.82736074581265470e-17,
720 2.760000e+01, 9.99999999998968490e-01, 1.03150728488855420e-12, -5.15753642443213040e-13, 1.71917880813695000e-13, -4.29794702030690830e-14, 8.59589404047194890e-15, -1.43264900669803580e-15, 2.04664143800493900e-16, -2.55830179716839340e-17,
721 2.770000e+01, 9.99999999999066640e-01, 9.33346388344024310e-13, -4.66673194171140950e-13, 1.55557731389799560e-13, -3.88894328471595120e-14, 7.77788656931575120e-15, -1.29631442818057490e-15, 1.85187775443305800e-16, -2.31484719276477160e-17,
722 2.780000e+01, 9.99999999999155450e-01, 8.44526736162543640e-13, -4.22263368080558590e-13, 1.40754456026377370e-13, -3.51886140063566000e-14, 7.03772280117622370e-15, -1.17295380016433840e-15, 1.67564828585848670e-16, -2.09456035709668770e-17,
723 2.790000e+01, 9.99999999999235830e-01, 7.64159391411773770e-13, -3.82079695705302950e-13, 1.27359898568045010e-13, -3.18399746418166060e-14, 6.36799492828546310e-15, -1.06133248802162440e-15, 1.51618926852816940e-16, -1.89523658547483410e-17,
724 2.800000e+01, 9.99999999999308550e-01, 6.91440010693064080e-13, -3.45720005346053980e-13, 1.15240001781699250e-13, -2.88100004452654500e-14, 5.76200008898934550e-15, -9.60333348143642610e-16, 1.37190478300163660e-16, -1.71488097860027170e-17,
725 2.810000e+01, 9.99999999999374390e-01, 6.25640794002349870e-13, -3.12820397000783510e-13, 1.04273465666666880e-13, -2.60683664165362450e-14, 5.21367328325505900e-15, -8.68945547191779780e-16, 1.24135078165283750e-16, -1.55168847694178470e-17,
726 2.820000e+01, 9.99999999999433900e-01, 5.66103200663120480e-13, -2.83051600331239800e-13, 9.43505334435329370e-14, -2.35876333607764100e-14, 4.71752667211255270e-15, -7.86254445337848910e-16, 1.12322063615623210e-16, -1.40402579509355260e-17,
727 2.830000e+01, 9.99999999999487740e-01, 5.12231358429965140e-13, -2.56115679214720190e-13, 8.53718930713984750e-14, -2.13429732677621560e-14, 4.26859465351744730e-15, -7.11432442241246580e-16, 1.01633206031131970e-16, -1.27041507530585410e-17,
728 2.840000e+01, 9.99999999999536480e-01, 4.63486099798866320e-13, -2.31743049899218340e-13, 7.72476832995962260e-14, -1.93119208248274500e-14, 3.86238416493684800e-15, -6.43730694146593790e-16, 9.19615277324998190e-17, -1.14951909658805120e-17,
729 2.850000e+01, 9.99999999999580670e-01, 4.19379565837602710e-13, -2.09689782918625460e-13, 6.98965943060912380e-14, -1.74741485764641810e-14, 3.49482971526938580e-15, -5.82471619203747550e-16, 8.32102313125876770e-17, -1.04012789135151130e-17,
730 2.860000e+01, 9.99999999999620530e-01, 3.79470323529567900e-13, -1.89735161764639940e-13, 6.32450539214506480e-14, -1.58112634803146610e-14, 3.16225269604373280e-15, -5.27042116000888960e-16, 7.52917308554413040e-17, -9.41146635647302730e-18,
731 2.870000e+01, 9.99999999999656610e-01, 3.43358947763788770e-13, -1.71679473881776470e-13, 5.72264912938468950e-14, -1.43066228234224260e-14, 2.86132456466876570e-15, -4.76887427439554530e-16, 6.81267753470107030e-17, -8.51584691800206660e-18,
732 2.880000e+01, 9.99999999999689360e-01, 3.10684023754150380e-13, -1.55342011876978680e-13, 5.17806706255952050e-14, -1.29451676563666270e-14, 2.58903353126045530e-15, -4.31505588539119280e-16, 6.16436555043627530e-17, -7.70545693773891780e-18,
733 2.890000e+01, 9.99999999999718890e-01, 2.81118529878744400e-13, -1.40559264939293190e-13, 4.68530883130450390e-14, -1.17132720782349170e-14, 2.34265441563644660e-15, -3.90442402602562120e-16, 5.57774860850767700e-17, -6.97218576038371540e-18,
734 2.900000e+01, 9.99999999999745650e-01, 2.54366564737562880e-13, -1.27183282368716740e-13, 4.23944274561957760e-14, -1.05986068640273770e-14, 2.11972137279684820e-15, -3.53286895463265750e-16, 5.04695564939306290e-17, -6.30869456153592520e-18,
735 2.910000e+01, 9.99999999999769850e-01, 2.30160385671822320e-13, -1.15080192835858200e-13, 3.83600642785840840e-14, -9.59001606962836320e-15, 1.91800321391860960e-15, -3.19667202317413840e-16, 4.56667431875292930e-17, -5.70834289827299170e-18,
736 2.920000e+01, 9.99999999999791720e-01, 2.08257729105462710e-13, -1.04128864552687990e-13, 3.47096215175337460e-14, -8.67740537936897830e-15, 1.73548107586801300e-15, -2.89246845976074600e-16, 4.13209779960313320e-17, -5.16512224936623100e-18,
737 2.930000e+01, 9.99999999999811600e-01, 1.88439385889827740e-13, -9.42196929448783500e-14, 3.14065643149357740e-14, -7.85164107872210740e-15, 1.57032821573968700e-15, -2.61721369288369650e-16, 3.73887670407447510e-17, -4.67359587998036610e-18,
738 2.940000e+01, 9.99999999999829470e-01, 1.70507007384838220e-13, -8.52535036923900290e-14, 2.84178345641106270e-14, -7.10445864101796640e-15, 1.42089172819971680e-15, -2.36815288031994070e-16, 3.38307554327728270e-17, -4.22884442900430890e-18,
739 2.950000e+01, 9.99999999999845680e-01, 1.54281120319141160e-13, -7.71405601595467770e-14, 2.57135200531663900e-14, -6.42838001328366320e-15, 1.28567600265355900e-15, -2.14279333774535300e-16, 3.06113333960599290e-17, -3.82641667443192610e-18,
740 2.960000e+01, 9.99999999999860440e-01, 1.39599330561269830e-13, -6.97996652806154250e-14, 2.32665550935254810e-14, -5.81663877337487480e-15, 1.16332775467237650e-15, -1.93887959111196630e-16, 2.76982798727806240e-17, -3.46228498403571140e-18,
741 2.970000e+01, 9.99999999999873660e-01, 1.26314697824611900e-13, -6.31573489122899990e-14, 2.10524496374193610e-14, -5.26311240934952190e-15, 1.05262248186777700e-15, -1.75437080310587040e-16, 2.50624400441669680e-17, -3.13280500547021870e-18,
742 2.980000e+01, 9.99999999999885760e-01, 1.14294265039617650e-13, -5.71471325197957610e-14, 1.90490441732565420e-14, -4.76226104330978190e-15, 9.52452208660214540e-16, -1.58742034776121860e-16, 2.26774335392800970e-17, -2.83467919236854260e-18,
743 2.990000e+01, 9.99999999999896530e-01, 1.03417727674766650e-13, -5.17088638373726360e-14, 1.72362879457837450e-14, -4.30907198644237150e-15, 8.61814397287048370e-16, -1.43635732880699370e-16, 2.05193904113926700e-17, -2.56492380139013070e-18,
744 3.000000e+01, 9.99999999999906410e-01, 9.35762296883842290e-14, -4.67881148441833610e-14, 1.55960382813886140e-14, -3.89900957034423470e-15, 7.79801914067679530e-16, -1.29966985677557410e-16, 1.85667122395398650e-17, -2.32083902991468430e-18,
745 3.010000e+01, 9.99999999999915290e-01, 8.46712740607782790e-14, -4.23356370303819700e-14, 1.41118790101225430e-14, -3.52796975252824600e-15, 7.05593950504693360e-16, -1.17598991750463600e-16, 1.67998559642609060e-17, -2.09998199550985370e-18,
746 3.020000e+01, 9.99999999999923390e-01, 7.66137370029714090e-14, -3.83068685014798350e-14, 1.27689561671560310e-14, -3.19223904178705130e-15, 6.38447808356627660e-16, -1.06407968059177070e-16, 1.52011382940936180e-17, -1.90014228674306770e-18,
747 3.030000e+01, 9.99999999999930720e-01, 6.93229759758561190e-14, -3.46614879879232510e-14, 1.15538293293045450e-14, -2.88845733232453450e-15, 5.77691466464266220e-16, -9.62819110771641100e-17, 1.37545587252481340e-17, -1.71931984064076160e-18,
748 3.040000e+01, 9.99999999999937270e-01, 6.27260225925628000e-14, -3.13630112962774620e-14, 1.04543370987565300e-14, -2.61358427468782110e-15, 5.22716854937039650e-16, -8.71194758226650810e-17, 1.24456394031879060e-17, -1.55570492538599900e-18,
749 3.050000e+01, 9.99999999999943270e-01, 5.67568523263207840e-14, -2.83784261631571700e-14, 9.45947538771690840e-15, -2.36486884692815350e-15, 4.72973769385201240e-16, -7.88289615640570320e-17, 1.12612802233958130e-17, -1.40766002791424940e-18,
750 3.060000e+01, 9.99999999999948600e-01, 5.13557237147964600e-14, -2.56778618573955920e-14, 8.55928728579677160e-15, -2.13982182144831410e-15, 4.27964364289311180e-16, -7.13273940481013100e-17, 1.01896277211238390e-17, -1.27370346513210690e-18,
751 3.070000e+01, 9.99999999999953480e-01, 4.64685804474652490e-14, -2.32342902237304630e-14, 7.74476340790871500e-15, -1.93619085197645890e-15, 3.87238170395003900e-16, -6.45396950657380130e-17, 9.21995643793515330e-18, -1.15249455473503900e-18,
752 3.080000e+01, 9.99999999999957920e-01, 4.20465103518813390e-14, -2.10232551759388990e-14, 7.00775172531178780e-15, -1.75193793132735770e-15, 3.50387586265235810e-16, -5.83979310441273950e-17, 8.34256157771003620e-18, -1.04282019720814140e-18,
753 3.090000e+01, 9.99999999999961920e-01, 3.80452558642185360e-14, -1.90226279321078230e-14, 6.34087597736830850e-15, -1.58521899434159470e-15, 3.17043798868125930e-16, -5.28406331446233300e-17, 7.54866187778495290e-18, -9.43582734718524040e-19,
754 3.100000e+01, 9.99999999999965580e-01, 3.44247710846973950e-14, -1.72123855423475140e-14, 5.73746184744838090e-15, -1.43436546186170020e-15, 2.86873092372182050e-16, -4.78121820619776750e-17, 6.83031172312461890e-18, -8.53788965386815540e-19,
755 3.110000e+01, 9.99999999999968800e-01, 3.11488209847564900e-14, -1.55744104923772730e-14, 5.19147016412511060e-15, -1.29786754103095420e-15, 2.59573508206061480e-16, -4.32622513676337930e-17, 6.18032162393536420e-18, -7.72540202988840200e-19,
756 3.120000e+01, 9.99999999999971800e-01, 2.81846187547117050e-14, -1.40923093773550570e-14, 4.69743645911782230e-15, -1.17435911477919090e-15, 2.34871822955732270e-16, -3.91453038259200720e-17, 5.59218626083563660e-18, -6.99023282601933050e-19,
757 3.130000e+01, 9.99999999999974460e-01, 2.55024976623415030e-14, -1.27512488311701020e-14, 4.25041627705626620e-15, -1.06260406926384980e-15, 2.12520813852683260e-16, -3.54201356420849750e-17, 5.06001937743245150e-18, -6.32502422176991450e-19,
758 3.140000e+01, 9.99999999999976910e-01, 2.30756141382610940e-14, -1.15378070691300150e-14, 3.84593568970964980e-15, -9.61483922427234960e-16, 1.92296784485376010e-16, -3.20494640808723390e-17, 4.57849486868928600e-18, -5.72311858584469210e-19,
759 3.150000e+01, 9.99999999999979130e-01, 2.08796791164584650e-14, -1.04398395582287960e-14, 3.47994651940930800e-15, -8.69986629852181640e-16, 1.73997325970378200e-16, -2.89995543283769920e-17, 4.14279347547689220e-18, -5.17849184433227650e-19,
760 3.160000e+01, 9.99999999999981130e-01, 1.88927149411555350e-14, -9.44635747057741110e-15, 3.14878582352556530e-15, -7.87196455881272310e-16, 1.57439291176206870e-16, -2.62398818626852850e-17, 3.74855455180765200e-18, -4.68569318974822510e-19,
761 3.170000e+01, 9.99999999999982900e-01, 1.70948354070447300e-14, -8.54741770352207300e-15, 2.84913923450716240e-15, -7.12284808626693180e-16, 1.42456961725299670e-16, -2.37428269542036270e-17, 3.39183242202537880e-18, -4.23979052752244240e-19,
762 3.180000e+01, 9.99999999999984570e-01, 1.54680467314601930e-14, -7.73402336572985840e-15, 2.57800778857645970e-15, -6.44501947144035160e-16, 1.28900389428775130e-16, -2.14833982381185570e-17, 3.06905689115675550e-18, -3.83632111393834950e-19,
763 3.190000e+01, 9.99999999999986010e-01, 1.39960674665539270e-14, -6.99803373327676720e-15, 2.33267791109212490e-15, -5.83169477772965950e-16, 1.16633895554567090e-16, -1.94389825924191410e-17, 2.77699751320024640e-18, -3.47124689149409350e-19,
764 3.200000e+01, 9.99999999999987340e-01, 1.26641655490938550e-14, -6.33208277454676670e-15, 2.11069425818214850e-15, -5.27673564545483690e-16, 1.05534712909075360e-16, -1.75891188181721000e-17, 2.51273125973683490e-18, -3.14091407466594670e-19,
765 3.210000e+01, 9.99999999999988560e-01, 1.14590108570219640e-14, -5.72950542851085020e-15, 1.90983514283686250e-15, -4.77458785709171850e-16, 9.54917571418168590e-17, -1.59152928569636410e-17, 2.27361326527885370e-18, -2.84201658159439420e-19,
766 3.220000e+01, 9.99999999999989670e-01, 1.03685417971138640e-14, -5.18427089855682390e-15, 1.72809029951886960e-15, -4.32022574879681600e-16, 8.64045149759219900e-17, -1.44007524959822210e-17, 2.05725035656752380e-18, -2.57156294570599110e-19,
767 3.230000e+01, 9.99999999999990560e-01, 9.38184458849850840e-15, -4.69092229424916660e-15, 1.56364076474966340e-15, -3.90910191187386520e-16, 7.81820382374655680e-17, -1.30303397062403490e-17, 1.86147710089036070e-18, -2.32684637611014280e-19,
768 3.240000e+01, 9.99999999999991560e-01, 8.48904403387157360e-15, -4.24452201693571420e-15, 1.41484067231185670e-15, -3.53710168077940160e-16, 7.07420336155784300e-17, -1.17903389359265360e-17, 1.68433413370287570e-18, -2.10541766712631340e-19,
769 3.250000e+01, 9.99999999999992340e-01, 7.68120468520197700e-15, -3.84060234260092930e-15, 1.28020078086693710e-15, -3.20050195216714640e-16, 6.40100390433350650e-17, -1.06683398405532220e-17, 1.52404854864971060e-18, -1.90506068581026700e-19,
770 3.260000e+01, 9.99999999999993010e-01, 6.95024141476382340e-15, -3.47512070738186320e-15, 1.15837356912725540e-15, -2.89593392281797740e-16, 5.79186784563531140e-17, -9.65311307605670500e-18, 1.37901615372177360e-18, -1.72377019215068900e-19,
771 3.270000e+01, 9.99999999999993670e-01, 6.28883849646153690e-15, -3.14441924823072860e-15, 1.04813974941021660e-15, -2.62034937352540930e-16, 5.24069874705029170e-17, -8.73449791174872870e-18, 1.24778541596360150e-18, -1.55973176995325000e-19,
772 3.280000e+01, 9.99999999999994340e-01, 5.69037638758344200e-15, -2.84518819379168870e-15, 9.48396064597207920e-16, -2.37099016149291180e-16, 4.74198032298539190e-17, -7.90330053830754850e-18, 1.12904293404352410e-18, -1.41130366755338760e-19,
773 3.290000e+01, 9.99999999999994890e-01, 5.14886547819375430e-15, -2.57443273909685070e-15, 8.58144246365599090e-16, -2.14536061591390950e-16, 4.29072123182746550e-17, -7.15120205304459720e-18, 1.02160029329174860e-18, -1.27700036661385190e-19,
774 3.300000e+01, 9.99999999999995340e-01, 4.65888614510335430e-15, -2.32944307255165550e-15, 7.76481024183870600e-16, -1.94120256045960430e-16, 3.88240512091891920e-17, -6.47067520153056780e-18, 9.24382171646948020e-19, -1.15547771455798300e-19,
775 3.310000e+01, 9.99999999999995780e-01, 4.21553451045879130e-15, -2.10776725522937790e-15, 7.02589085076447440e-16, -1.75647271269105920e-16, 3.51294542538188150e-17, -5.85490904230234690e-18, 8.36415577471538480e-19, -1.04551947183885770e-19,
776 3.320000e+01, 9.99999999999996230e-01, 3.81437336208504050e-15, -1.90718668104250570e-15, 6.35728893680825560e-16, -1.58932223420201530e-16, 3.17864446840383680e-17, -5.29774078067241470e-18, 7.56820111524446220e-19, -9.46025139405087250e-20,
777 3.330000e+01, 9.99999999999996560e-01, 3.45138774437419260e-15, -1.72569387218708430e-15, 5.75231290729020130e-16, -1.43807822682251060e-16, 2.87615645364486240e-17, -4.79359408940757470e-18, 6.84799155629502910e-19, -8.55998944536504290e-20,
778 3.340000e+01, 9.99999999999996890e-01, 3.12294477526047450e-15, -1.56147238763022740e-15, 5.20490795876735930e-16, -1.30122698969180730e-16, 2.60245397938348490e-17, -4.33742329897204160e-18, 6.19631899853024490e-19, -7.74539874815976800e-20,
779 3.350000e+01, 9.99999999999997220e-01, 2.82575728711559530e-15, -1.41287864355778950e-15, 4.70959547852591190e-16, -1.17739886963145140e-16, 2.35479773926279630e-17, -3.92466289877097200e-18, 5.60666128395752110e-19, -7.00832660494431820e-20,
780 3.360000e+01, 9.99999999999997450e-01, 2.55685092766995250e-15, -1.27842546383496980e-15, 4.26141821278318850e-16, -1.06535455319577530e-16, 2.13070910639146380e-17, -3.55118184398548230e-18, 5.07311691997843240e-19, -6.34139614997088460e-20,
781 3.370000e+01, 9.99999999999997670e-01, 2.31353439169574210e-15, -1.15676719584786570e-15, 3.85589065282618280e-16, -9.63972663206527840e-17, 1.92794532641298440e-17, -3.21324221068806990e-18, 4.59034601526799610e-19, -5.73793251908333040e-20,
782 3.380000e+01, 9.99999999999997890e-01, 2.09337248551938240e-15, -1.04668624275968680e-15, 3.48895414253225950e-16, -8.72238535633050340e-17, 1.74447707126604210e-17, -2.90746178544320920e-18, 4.15351683634688900e-19, -5.19189604543224990e-20,
783 3.390000e+01, 9.99999999999998110e-01, 1.89416175478486190e-15, -9.47080877392427420e-16, 3.15693625797473390e-16, -7.89234064493671520e-17, 1.57846812898729520e-17, -2.63078021497866600e-18, 3.75825744996906480e-19, -4.69782181246030610e-20,
784 3.400000e+01, 9.99999999999998330e-01, 1.71390843154200710e-15, -8.56954215771000580e-16, 2.85651405256998220e-16, -7.14128513142485820e-17, 1.42825702628493230e-17, -2.38042837714142440e-18, 3.40061196734451400e-19, -4.25076495917978010e-20,
785 3.410000e+01, 9.99999999999998450e-01, 1.55080847994651830e-15, -7.75404239973256690e-16, 2.58468079991083940e-16, -6.46170199977701830e-17, 1.29234039995537170e-17, -2.15390066659217940e-18, 3.07700095227423530e-19, -3.84625119034199790e-20,
786 3.420000e+01, 9.99999999999998560e-01, 1.40322954086308700e-15, -7.01614770431541530e-16, 2.33871590143845830e-16, -5.84678975359608040e-17, 1.16935795071918990e-17, -1.94892991786522900e-18, 2.78418559695007630e-19, -3.48023199618701640e-20,
787 3.430000e+01, 9.99999999999998780e-01, 1.26969459466634840e-15, -6.34847297333172530e-16, 2.11615765777723100e-16, -5.29039414444302390e-17, 1.05807882888858340e-17, -1.76346471481423380e-18, 2.51923530687728270e-19, -3.14904413359617250e-20,
788 3.440000e+01, 9.99999999999998890e-01, 1.14886717873210330e-15, -5.74433589366050270e-16, 1.91477863122015880e-16, -4.78694657805035270e-17, 9.57389315610053080e-18, -1.59564885935003000e-18, 2.27949837049987270e-19, -2.84937296312450620e-20,
789 3.450000e+01, 9.99999999999999000e-01, 1.03953801167021980e-15, -5.19769005835108810e-16, 1.73256335278368870e-16, -4.33140838195918600e-17, 8.66281676391822790e-18, -1.44380279398632340e-18, 2.06257541998031890e-19, -2.57821927497502700e-20,
790 3.460000e+01, 9.99999999999999110e-01, 9.40612890429909060e-16, -4.70306445214953640e-16, 1.56768815071650610e-16, -3.91922037679123620e-17, 7.83844075358235410e-18, -1.30640679226368620e-18, 1.86629541751943390e-19, -2.33286927189902040e-20,
791 3.470000e+01, 9.99999999999999110e-01, 8.51101739147944780e-16, -4.25550869573971700e-16, 1.41850289857990070e-16, -3.54625724644972780e-17, 7.09251449289935940e-18, -1.18208574881652830e-18, 1.68869392688066110e-19, -2.11086740860057180e-20,
792 3.480000e+01, 9.99999999999999220e-01, 7.70108700136545650e-16, -3.85054350068272230e-16, 1.28351450022757000e-16, -3.20878625056890530e-17, 6.41757250113773230e-18, -1.06959541685626230e-18, 1.52799345265172830e-19, -1.90999181581443530e-20,
793 3.490000e+01, 9.99999999999999330e-01, 6.96823167838575130e-16, -3.48411583919287070e-16, 1.16137194639762020e-16, -2.90342986599403450e-17, 5.80685973198800470e-18, -9.67809955331312550e-19, 1.38258565047323660e-19, -1.72823206309143410e-20 };
794
795 Int_t i = (Int_t)(10*x+350.5);
796 if(i<0) return TMath::Exp(x);
797 if(i>699) return 1;
798 Double_t* basePoint = sigval+(10*i);
799 Double_t res = x - basePoint[0];
800 res = basePoint[1] + res * ( basePoint[2] + res * ( basePoint[3]
801 + res * ( basePoint[4] + res * ( basePoint[5] + res * ( basePoint[6]
802 + res * ( basePoint[7] + res * ( basePoint[8] )))))));
803 /*
804 if(x<-15) return TMath::Exp(x);
805 if(x> 15) return 1;
806 return (1/(1+TMath::Exp(-x)));
807 */
808 return res;
809}
810
811////////////////////////////////////////////////////////////////////////////////
812/// The Derivative of the Sigmoid.
813
815{
816 //if (x>2.1972246) return x/(1+TMath::Exp(x));
817 //Double_t a = Sigmoid(x);
818 //return a-a*a;
819 if (TMath::Abs(x) > 5)
820 return TMath::Exp(-TMath::Abs(x));
821 Double_t expmx = TMath::Exp(-x);
822 return expmx / ((1 + expmx) * (1 + expmx));
823}
824
825////////////////////////////////////////////////////////////////////////////////
826/// Adds a synapse to the neuron as an input
827/// This method is used by the TSynapse while
828/// connecting two neurons.
829
831{
832 fpre.AddLast(pre);
833 if (fpre.GetEntriesFast() == fpre.GetSize())
834 fpre.Expand(2 * fpre.GetSize());
835}
836
837////////////////////////////////////////////////////////////////////////////////
838/// Adds a synapse to the neuron as an output
839/// This method is used by the TSynapse while
840/// connecting two neurons.
841
843{
844 fpost.AddLast(post);
846 fpost.Expand(2 * fpost.GetSize());
847}
848
849////////////////////////////////////////////////////////////////////////////////
850/// Tells a neuron which neurons form its layer (including itself).
851/// This is needed for self-normalizing functions, like Softmax.
852
854{
855 flayer.AddLast(nearP);
858}
859
860////////////////////////////////////////////////////////////////////////////////
861/// Returns the neuron type.
862
864{
865 return fType;
866}
867
868////////////////////////////////////////////////////////////////////////////////
869/// Sets a formula that can be used to make the neuron an input.
870/// The formula is automatically normalized to mean=0, RMS=1.
871/// This normalisation is used by GetValue() (input neurons)
872/// and GetError() (output neurons)
873
875{
876 if (fFormula) delete fFormula;
877 // Set the formula
878 // One checks for {}: defined as instance in TMultiLayerPerceptron
879 // so that EvalInstance can be used. This allows to use arrays as
880 // input, also in complex calculation, without detailed string parsing.
881 TRegexp re("{[0-9]+}$");
882 TString f(formula);
883 Ssiz_t len = f.Length();
884 Ssiz_t pos = re.Index(f,&len);
885 if(pos==-1 || len<3)
886 fFormula = new TTreeFormula(Form("NF%zu",(size_t)this),formula,input);
887 else {
888 TString newformula(formula,pos);
889 TString val = f(pos+1,len-2);
890 fFormula = new TTreeFormula(Form("NF%zu",(size_t)this),
891 (const char*) newformula,input);
892 fIndex = val.Atoi();
893 f = newformula;
894 }
895 // Computes the default normalization
896 TH1D tmp("tmpb", "tmpb", 1, -FLT_MAX, FLT_MAX);
897 input->Draw(Form("%s>>tmpb",(const char*)f),"","goff");
898 fNorm[0] = tmp.GetRMS();
899 if(fNorm[0]<1e-15) fNorm[0]=1.;
900 fNorm[1] = tmp.GetMean();
901 // Check the dimensionality
902 if(fFormula->GetNdata()>1 && fIndex==0)
903 Warning("TNeuron::UseBranch()","all indices in arrays must be specified, otherwise the first element will be assumed.");
904 return fFormula;
905}
906
907////////////////////////////////////////////////////////////////////////////////
908/// Returns the formula value.
909
911{
913 if (TMath::IsNaN(branch))
914 branch = 0.;
915 return branch;
916}
917
918////////////////////////////////////////////////////////////////////////////////
919/// Returns neuron input
920
922{
923 if (!fNewInput) {
924 return fInput;
925 }
926 ((TNeuron*)this)->fNewInput = false;
927 Double_t input = 0.0;
928 Int_t nEntries = fpre.GetEntriesFast();
929 if (nEntries) {
930 input = fWeight;
931 for (Int_t i = 0; i < nEntries; i++) {
932 TSynapse *preSynapse = (TSynapse*)fpre.UncheckedAt(i);
933 input += preSynapse->GetValue();
934 }
935 }
936 return (((TNeuron*)this)->fInput = input);
937}
938
939////////////////////////////////////////////////////////////////////////////////
940/// Computes the output using the appropriate function and all
941/// the weighted inputs, or uses the branch as input.
942/// In that case, the branch normalisation is also used.
943
945{
946 if (!fNewValue) {
947 return fValue;
948 }
949 ((TNeuron*)this)->fNewValue = false;
951 if (!nentries) {
952 Double_t branch = GetBranch();
953 return (((TNeuron*)this)->fValue = (branch - fNorm[1]) / fNorm[0]);
954 } else {
956 Double_t value = 0;
957 switch (fType) {
958 case TNeuron::kOff: {
959 value = 0;
960 break;
961 }
962 case TNeuron::kLinear: {
963 value = input;
964 break;
965 }
966 case TNeuron::kSigmoid: {
968 break;
969 }
970 case TNeuron::kTanh: {
972 break;
973 }
974 case TNeuron::kGauss: {
976 break;
977 }
978 case TNeuron::kSoftmax: {
979 Double_t normalization = 0.0;
980 for (Int_t i = 0; i < flayer.GetEntriesFast(); i++) {
981 // this is not very efficient, as the same normalization
982 // is calculated once per neuron instead of just once
983 normalization += TMath::Exp(((TNeuron*) flayer.UncheckedAt(i))->GetInput());
984 }
985 if (normalization > 0.0) {
986 // exp(a_k) / sum_k'[ exp(a_k') ]
987 value = TMath::Exp(input) / normalization;
988 } else {
989 // all neurons have output = 0 ?
990 value = 1.0 / flayer.GetEntriesFast();
991 }
992 break;
993 }
994 case TNeuron::kExternal: {
995 value = fExtF->Eval(input);
996 break;
997 }
998 }
999 return (((TNeuron*)this)->fValue = value);
1000 }
1001}
1002
1003////////////////////////////////////////////////////////////////////////////////
1004/// computes the derivative for the appropriate function
1005/// at the working point
1006
1008{
1009 if (!fNewDeriv)
1010 return fDerivative;
1011 ((TNeuron*)this)->fNewDeriv = false;
1014 for (Int_t i=0;i<nentries;i++) {
1015 TSynapse *preSynapse = (TSynapse*)fpre.UncheckedAt(i);
1016 input += preSynapse->GetValue();
1017 }
1018 Double_t derivative = 0;
1019 switch (fType) {
1020 case TNeuron::kOff: {
1021 derivative = 0;
1022 break;
1023 }
1024 case TNeuron::kLinear: {
1025 derivative = 1;
1026 break;
1027 }
1028 case TNeuron::kSigmoid: {
1029 derivative = DSigmoid(input);
1030 break;
1031 }
1032 case TNeuron::kTanh: {
1033 derivative = (1 - (TMath::TanH(input) * TMath::TanH(input)));
1034 break;
1035 }
1036 case TNeuron::kGauss: {
1037 derivative = (-2) * input * TMath::Exp(-input * input);
1038 break;
1039 }
1040 case TNeuron::kSoftmax: {
1041 // actually this is not the derivative, as the Softmax function needs
1042 // exp(activation) of all the neurons in the layer for the normalization.
1043 // it will be smartly taken care of in GetDeDw()
1044 derivative = GetValue();
1045 break;
1046 }
1047 case TNeuron::kExternal: {
1048 derivative = fExtD->Eval(input);
1049 break;
1050 }
1051 }
1052 return (((TNeuron*)this)->fDerivative = derivative);
1053}
1054
1055////////////////////////////////////////////////////////////////////////////////
1056/// Computes the error for output neurons.
1057/// Returns 0 for other neurons.
1058
1060{
1061 if (!fpost.GetEntriesFast())
1062 return (GetValue() - (GetBranch() - fNorm[1]) / fNorm[0]);
1063 return 0;
1064}
1065
1066////////////////////////////////////////////////////////////////////////////////
1067/// Computes the normalized target pattern for output neurons.
1068/// Returns 0 for other neurons.
1069
1071{
1072 if (!fpost.GetEntriesFast())
1073 return ((GetBranch() - fNorm[1]) / fNorm[0]);
1074 return 0;
1075}
1076
1077////////////////////////////////////////////////////////////////////////////////
1078/// Computes the derivative of the error wrt the neuron weight.
1079
1081{
1082 if (!fNewDeDw)
1083 return fDeDw;
1084 ((TNeuron*)this)->fNewDeDw = false;
1085 // Output units DeDw is just the error for these cases:
1086 // - linear output, with sum-of-squares error
1087 // - sigmoid output, with binary cross-entropy
1088 // - softmax output, with 1-of-c cross entropy
1089 Int_t nEntries = fpost.GetEntriesFast();
1090 if (nEntries == 0) {
1091 // output neuron
1092 ((TNeuron*)this)->fDeDw = GetError();
1093 } else {
1094 // hidden nuron
1095 ((TNeuron*)this)->fDeDw = 0.0;
1096 if (fType != TNeuron::kSoftmax) {
1097 // non-softmax
1098 for (Int_t i = 0; i < nEntries; i++) {
1099 TSynapse *postSynapse = (TSynapse*)fpost.UncheckedAt(i);
1100 ((TNeuron*)this)->fDeDw +=
1101 postSynapse->GetWeight() *
1102 postSynapse->GetPost()->GetDeDw();
1103 }
1104 } else {
1105 // softmax derivative can be taken care of correcting the forward weight
1106 for (Int_t i = 0; i < nEntries; i++) {
1107 TSynapse *postSynapse = (TSynapse*)fpost.UncheckedAt(i);
1108 ((TNeuron*)this)->fDeDw +=
1109 (postSynapse->GetWeight() - postSynapse->GetPost()->GetInput()) *
1110 postSynapse->GetPost()->GetDeDw();
1111 }
1112 }
1113 ((TNeuron*)this)->fDeDw *= GetDerivative();
1114 }
1115 return fDeDw;
1116}
1117
1118////////////////////////////////////////////////////////////////////////////////
1119/// Uses the branch type to force an external value.
1120
1122{
1123 fNewValue = false;
1124 fValue = (value - fNorm[1]) / fNorm[0];
1125}
1126
1127////////////////////////////////////////////////////////////////////////////////
1128/// Sets the normalization variables.
1129/// Any input neuron will return (branch-mean)/RMS.
1130/// When UseBranch is called, mean and RMS are automatically set
1131/// to the actual branch mean and RMS.
1132
1134{
1135 fNorm[0] = RMS;
1136 fNorm[1] = mean;
1137}
1138
1139////////////////////////////////////////////////////////////////////////////////
1140/// Sets the neuron weight to w.
1141/// The neuron weight corresponds to the bias in the
1142/// linear combination of the inputs.
1143
1145{
1146 fWeight = w;
1147}
1148
1149////////////////////////////////////////////////////////////////////////////////
1150/// Inform the neuron that inputs of the network have changed,
1151/// so that the buffered values have to be recomputed.
1152
1154{
1155 ((TNeuron*)this)->fNewInput = true;
1156 ((TNeuron*)this)->fNewValue = true;
1157 ((TNeuron*)this)->fNewDeriv = true;
1158 ((TNeuron*)this)->fNewDeDw = true;
1159}
1160
1161////////////////////////////////////////////////////////////////////////////////
1162/// Sets the derivative of the total error wrt the neuron weight.
1163
1165{
1166 fDEDw = in;
1167}
#define f(i)
Definition RSha256.hxx:104
#define e(i)
Definition RSha256.hxx:103
int Int_t
Definition RtypesCore.h:45
#define ClassImp(name)
Definition Rtypes.h:377
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void input
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void value
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void char Point_t Rectangle_t WindowAttributes_t Float_t Float_t Float_t Int_t Int_t UInt_t UInt_t Rectangle_t Int_t Int_t Window_t TString Int_t GCValues_t GetPrimarySelectionOwner GetDisplay GetScreen GetColormap GetNativeEvent const char const char dpyName wid window const char font_name cursor keysym reg const char only_if_exist regb h Point_t winding char text const char depth char const char Int_t count const char ColorStruct_t color const char Pixmap_t Pixmap_t PictureAttributes_t attr const char char ret_data h unsigned char height h Atom_t Int_t ULong_t ULong_t unsigned char prop_list Atom_t Atom_t Atom_t Time_t UChar_t len
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void char Point_t Rectangle_t WindowAttributes_t Float_t Float_t Float_t Int_t Int_t UInt_t UInt_t Rectangle_t Int_t Int_t Window_t TString Int_t GCValues_t GetPrimarySelectionOwner GetDisplay GetScreen GetColormap GetNativeEvent const char const char dpyName wid window const char font_name cursor keysym reg const char only_if_exist regb h Point_t winding char text const char depth char const char Int_t count const char ColorStruct_t color const char Pixmap_t Pixmap_t PictureAttributes_t attr const char char ret_data h unsigned char height h Atom_t Int_t ULong_t ULong_t unsigned char prop_list Atom_t Atom_t Atom_t Time_t type
char name[80]
Definition TGX11.cxx:110
int nentries
#define gROOT
Definition TROOT.h:405
char * Form(const char *fmt,...)
Formats a string in a circular formatting buffer.
Definition TString.cxx:2467
virtual void SetOwner(Bool_t enable=kTRUE)
Set whether this collection is the owner (enable==true) of its content.
virtual Int_t GetSize() const
Return the capacity of the collection, i.e.
The Formula class.
Definition TFormula.h:87
Double_t Eval(Double_t x) const
Sets first variable (e.g. x) and evaluate formula.
1-D histogram with a double per channel (see TH1 documentation)}
Definition TH1.h:620
virtual Double_t GetMean(Int_t axis=1) const
For axis = 1,2 or 3 returns the mean value of the histogram along X,Y or Z axis.
Definition TH1.cxx:7445
Double_t GetRMS(Int_t axis=1) const
This function returns the Standard Deviation (Sigma) of the distribution not the Root Mean Square (RM...
Definition TH1.h:317
The TNamed class is the base class for all named ROOT classes.
Definition TNamed.h:29
This class describes an elementary neuron, which is the basic element for a Neural Network.
Definition TNeuron.h:25
Double_t GetDerivative() const
computes the derivative for the appropriate function at the working point
Definition TNeuron.cxx:1007
Double_t fWeight
weight used for computation
Definition TNeuron.h:70
TObjArray fpost
pointers to the next level in a network
Definition TNeuron.h:68
void SetWeight(Double_t w)
Sets the neuron weight to w.
Definition TNeuron.cxx:1144
TNeuron(ENeuronType type=kSigmoid, const char *name="", const char *title="", const char *extF="", const char *extD="")
Usual constructor.
Definition TNeuron.cxx:47
TObjArray flayer
pointers to the current level in a network (neurons, not synapses)
Definition TNeuron.h:69
TFormula * fExtD
derivative (external mode)
Definition TNeuron.h:74
Double_t fDerivative
! buffer containing the last neuron derivative
Definition TNeuron.h:82
Bool_t fNewInput
! do we need to compute fInput again ?
Definition TNeuron.h:77
TTreeFormula * fFormula
! formula to be used for inputs and outputs
Definition TNeuron.h:75
Int_t fIndex
! index in the formula
Definition TNeuron.h:76
Double_t fDEDw
! buffer containing the sum over all examples of DeDw
Definition TNeuron.h:85
Double_t GetValue() const
Computes the output using the appropriate function and all the weighted inputs, or uses the branch as...
Definition TNeuron.cxx:944
Double_t Sigmoid(Double_t x) const
The Sigmoid.
Definition TNeuron.cxx:91
Double_t fDeDw
! buffer containing the last derivative of the error
Definition TNeuron.h:84
void SetDEDw(Double_t in)
Sets the derivative of the total error wrt the neuron weight.
Definition TNeuron.cxx:1164
Double_t GetDeDw() const
Computes the derivative of the error wrt the neuron weight.
Definition TNeuron.cxx:1080
Double_t GetBranch() const
Returns the formula value.
Definition TNeuron.cxx:910
Double_t GetError() const
Computes the error for output neurons.
Definition TNeuron.cxx:1059
Bool_t fNewValue
! do we need to compute fValue again ?
Definition TNeuron.h:79
void AddPost(TSynapse *)
Adds a synapse to the neuron as an output This method is used by the TSynapse while connecting two ne...
Definition TNeuron.cxx:842
TTreeFormula * UseBranch(TTree *, const char *)
Sets a formula that can be used to make the neuron an input.
Definition TNeuron.cxx:874
Bool_t fNewDeriv
! do we need to compute fDerivative again ?
Definition TNeuron.h:81
void ForceExternalValue(Double_t value)
Uses the branch type to force an external value.
Definition TNeuron.cxx:1121
Double_t fInput
! buffer containing the last neuron input
Definition TNeuron.h:78
Double_t GetTarget() const
Computes the normalized target pattern for output neurons.
Definition TNeuron.cxx:1070
Double_t fNorm[2]
normalisation to mean=0, RMS=1.
Definition TNeuron.h:71
Double_t GetInput() const
Returns neuron input.
Definition TNeuron.cxx:921
Double_t DSigmoid(Double_t x) const
The Derivative of the Sigmoid.
Definition TNeuron.cxx:814
ENeuronType fType
neuron type
Definition TNeuron.h:72
void AddPre(TSynapse *)
Adds a synapse to the neuron as an input This method is used by the TSynapse while connecting two neu...
Definition TNeuron.cxx:830
TFormula * fExtF
function (external mode)
Definition TNeuron.h:73
ENeuronType GetType() const
Returns the neuron type.
Definition TNeuron.cxx:863
Bool_t fNewDeDw
! do we need to compute fDeDw again ?
Definition TNeuron.h:83
Double_t fValue
! buffer containing the last neuron output
Definition TNeuron.h:80
void SetNewEvent() const
Inform the neuron that inputs of the network have changed, so that the buffered values have to be rec...
Definition TNeuron.cxx:1153
void SetNormalisation(Double_t mean, Double_t RMS)
Sets the normalization variables.
Definition TNeuron.cxx:1133
void AddInLayer(TNeuron *)
Tells a neuron which neurons form its layer (including itself).
Definition TNeuron.cxx:853
ENeuronType
Definition TNeuron.h:29
@ kLinear
Definition TNeuron.h:29
@ kSigmoid
Definition TNeuron.h:29
@ kExternal
Definition TNeuron.h:29
@ kSoftmax
Definition TNeuron.h:29
@ kGauss
Definition TNeuron.h:29
@ kOff
Definition TNeuron.h:29
@ kTanh
Definition TNeuron.h:29
TObjArray fpre
pointers to the previous level in a network
Definition TNeuron.h:67
Int_t GetEntriesFast() const
Definition TObjArray.h:58
virtual void Expand(Int_t newSize)
Expand or shrink the array to newSize elements.
void AddLast(TObject *obj) override
Add object in the next empty slot in the array.
TObject * UncheckedAt(Int_t i) const
Definition TObjArray.h:84
virtual void Warning(const char *method, const char *msgfmt,...) const
Issue warning message.
Definition TObject.cxx:956
virtual TObject * FindObject(const char *name) const
Must be redefined in derived classes.
Definition TObject.cxx:403
Regular expression class.
Definition TRegexp.h:31
Ssiz_t Index(const TString &str, Ssiz_t *len, Ssiz_t start=0) const
Find the first occurrence of the regexp in string and return the position, or -1 if there is no match...
Definition TRegexp.cxx:209
Basic string class.
Definition TString.h:139
Int_t Atoi() const
Return integer value of string.
Definition TString.cxx:1966
This is a simple weighted bidirectional connection between two neurons.
Definition TSynapse.h:20
Double_t GetValue() const
Returns the value: weighted input.
Definition TSynapse.cxx:79
TNeuron * GetPost() const
Definition TSynapse.h:28
Double_t GetWeight() const
Definition TSynapse.h:30
Used to pass a selection expression to the Tree drawing routine.
T EvalInstance(Int_t i=0, const char *stringStack[]=nullptr)
Evaluate this treeformula.
virtual Int_t GetNdata()
Return number of available instances in the formula.
A TTree represents a columnar dataset.
Definition TTree.h:79
Double_t x[n]
Definition legend1.C:17
Bool_t IsNaN(Double_t x)
Definition TMath.h:890
Double_t Exp(Double_t x)
Returns the base-e exponential function of x, which is e raised to the power x.
Definition TMath.h:707
Double_t TanH(Double_t)
Returns the hyperbolic tangent of x.
Definition TMath.h:616
Short_t Abs(Short_t d)
Returns the absolute value of parameter Short_t d.
Definition TMathBase.h:123