d7/d96/TFCS1DFunctionRegression_8cxx_source.html

/*

  Copyright (C) 2002-2022 CERN for the benefit of the ATLAS collaboration

*/


#include "ISF_FastCaloSimEvent/TFCS1DFunctionRegression.h"


#include "TFile.h"

#include "TString.h"

#include "TMath.h"


using namespace std;


//=============================================

//======= TFCS1DFunctionRegression =========

//=============================================


double TFCS1DFunctionRegression::regression_value(double uniform) const {


  double myresult = -1;


  int n_neurons = m_fWeightMatrix0to1.size() - 1;


  if (n_neurons > 0) {


    int fLayers = 3;

    vector<int> fLayerSize;

    fLayerSize.push_back(2);

    fLayerSize.push_back(n_neurons + 1);

    fLayerSize.push_back(1);


    vector<vector<double>> fWeights;

    for (int l = 0; l < fLayers; l++) {

      vector<double> thisvector;

      thisvector.reserve(fLayerSize[l]);

      for (int i = 0; i < fLayerSize[l]; i++)

        thisvector.push_back(0); // placeholder

      fWeights.push_back(thisvector);

    }


    for (int l = 0; l < fLayers; l++)

      for (int i = 0; i < fLayerSize[l]; i++)

        fWeights[l][i] = 0;


    for (int l = 0; l < fLayers - 1; l++)

      fWeights[l][fLayerSize[l] - 1] = 1;


    for (int i = 0; i < fLayerSize[0] - 1; i++)

      fWeights[0][i] = uniform;


    // layer 0 to 1

    for (int o = 0; o < fLayerSize[1] - 1; o++) {

      for (int i = 0; i < fLayerSize[0]; i++) {

        fWeights[1][o] += m_fWeightMatrix0to1[o][i] * fWeights[0][i];

      }

      fWeights[1][o] = sigmoid(fWeights[1][o]);

    }


    // layer 1 to 2

    for (int o = 0; o < fLayerSize[2]; o++) {

      for (int i = 0; i < fLayerSize[1]; i++) {

        fWeights[2][o] += m_fWeightMatrix1to2[o][i] * fWeights[1][i];

      }

    }


    myresult = fWeights[2][0];

  }


  return myresult;

}


double TFCS1DFunctionRegression::rnd_to_fct(double rnd) const {


  double value = regression_value(rnd);

  return value;

}


void TFCS1DFunctionRegression::set_weights(

    const vector<vector<double>> &fWeightMatrix0to1,

    const vector<vector<double>> &fWeightMatrix1to2) {


  m_fWeightMatrix0to1 = fWeightMatrix0to1;

  m_fWeightMatrix1to2 = fWeightMatrix1to2;

}


double TFCS1DFunctionRegression::sigmoid(double x) {

  static const Double_t sigval[7000] = {-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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

                                        -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,

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                                        1.38258565047323660e-19,

                                        -1.72823206309143410e-20};


  Int_t i = (Int_t)(10 * x + 350.5);

  if (i < 0)

    return TMath::Exp(x);

  if (i > 699)

    return 1;

  const Double_t *basePoint = sigval + (10 * i);

  Double_t res = x - basePoint[0];

  res = basePoint[1] +

        res * (basePoint[2] +

               res * (basePoint[3] +

                      res * (basePoint[4] +

                             res * (basePoint[5] +

                                    res * (basePoint[6] +

                                           res * (basePoint[7] +

                                                  res * (basePoint[8])))))));

  /*

  if(x<-15) return TMath::Exp(x);

  if(x> 15) return 1;

  return (1/(1+TMath::Exp(-x)));

  */

  return res;

}