Import Geant4 10.7.0.beta source tree
This commit is contained in:
Gabriele Cosmo
@@ -0,0 +1,605 @@
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//
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// ********************************************************************
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// * License and Disclaimer *
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// * *
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// * The Geant4 software is copyright of the Copyright Holders of *
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// * the Geant4 Collaboration. It is provided under the terms and *
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// * conditions of the Geant4 Software License, included in the file *
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// * LICENSE and available at http://cern.ch/geant4/license . These *
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// * include a list of copyright holders. *
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// * *
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// * Neither the authors of this software system, nor their employing *
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// * institutes,nor the agencies providing financial support for this *
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// * work make any representation or warranty, express or implied, *
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// * regarding this software system or assume any liability for its *
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// * use. Please see the license in the file LICENSE and URL above *
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// * for the full disclaimer and the limitation of liability. *
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// * *
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// * This code implementation is the result of the scientific and *
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// * technical work of the GEANT4 collaboration. *
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// * By using, copying, modifying or distributing the software (or *
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// * any work based on the software) you agree to acknowledge its *
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// * use in resulting scientific publications, and indicate your *
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// * acceptance of all terms of the Geant4 Software license. *
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// ********************************************************************
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//
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/*
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* G4ErrorFunction.cc
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*
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* Created on: Jul 23, 2019
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* Author: W. G. Shin
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* J. Ramos-Mendez and B. Faddegon
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*/
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/*
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Extracted from http://ab-initio.mit.edu/Faddeeva
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Steven G. Johnson, October 2012.
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Copyright © 2012 Massachusetts Institute of Technology
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Permission is hereby granted, free of charge, to any person
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obtaining a copy of this software and associated documentation
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files (the "Software"), to deal in the Software without restriction,
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including without limitation the rights to use, copy, modify, merge,
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publish, distribute, sublicense, and/or sell copies of the Software,
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and to permit persons to whom the Software is furnished to do so,
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subject to the following conditions:
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The above copyright notice and this permission notice shall be
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included in all copies or substantial portions of the Software.
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*/
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#include "G4ErrorFunction.hh"
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#include "globals.hh"
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#include "G4SystemOfUnits.hh"
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#include "Randomize.hh"
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#include <vector>
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G4ErrorFunction::G4ErrorFunction() {;}
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G4ErrorFunction::~G4ErrorFunction() {;}
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G4double G4ErrorFunction::erfcx_y100(G4double y100)
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{
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switch ((int) y100) {
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case 0: {
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G4double t = 2*y100 - 1;
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return 0.70878032454106438663e-3 + (0.71234091047026302958e-3 + (0.35779077297597742384e-5 + (0.17403143962587937815e-7 + (0.81710660047307788845e-10 + (0.36885022360434957634e-12 + 0.15917038551111111111e-14 * t) * t) * t) * t) * t) * t;
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}
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case 1: {
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G4double t = 2*y100 - 3;
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return 0.21479143208285144230e-2 + (0.72686402367379996033e-3 + (0.36843175430938995552e-5 + (0.18071841272149201685e-7 + (0.85496449296040325555e-10 + (0.38852037518534291510e-12 + 0.16868473576888888889e-14 * t) * t) * t) * t) * t) * t;
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}
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case 2: {
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G4double t = 2*y100 - 5;
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return 0.36165255935630175090e-2 + (0.74182092323555510862e-3 + (0.37948319957528242260e-5 + (0.18771627021793087350e-7 + (0.89484715122415089123e-10 + (0.40935858517772440862e-12 + 0.17872061464888888889e-14 * t) * t) * t) * t) * t) * t;
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}
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case 3: {
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G4double t = 2*y100 - 7;
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return 0.51154983860031979264e-2 + (0.75722840734791660540e-3 + (0.39096425726735703941e-5 + (0.19504168704300468210e-7 + (0.93687503063178993915e-10 + (0.43143925959079664747e-12 + 0.18939926435555555556e-14 * t) * t) * t) * t) * t) * t;
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}
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case 4: {
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G4double t = 2*y100 - 9;
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return 0.66457513172673049824e-2 + (0.77310406054447454920e-3 + (0.40289510589399439385e-5 + (0.20271233238288381092e-7 + (0.98117631321709100264e-10 + (0.45484207406017752971e-12 + 0.20076352213333333333e-14 * t) * t) * t) * t) * t) * t;
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}
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case 5: {
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G4double t = 2*y100 - 11;
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return 0.82082389970241207883e-2 + (0.78946629611881710721e-3 + (0.41529701552622656574e-5 + (0.21074693344544655714e-7 + (0.10278874108587317989e-9 + (0.47965201390613339638e-12 + 0.21285907413333333333e-14 * t) * t) * t) * t) * t) * t;
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}
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case 6: {
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G4double t = 2*y100 - 13;
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return 0.98039537275352193165e-2 + (0.80633440108342840956e-3 + (0.42819241329736982942e-5 + (0.21916534346907168612e-7 + (0.10771535136565470914e-9 + (0.50595972623692822410e-12 + 0.22573462684444444444e-14 * t) * t) * t) * t) * t) * t;
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}
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case 7: {
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G4double t = 2*y100 - 15;
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return 0.11433927298290302370e-1 + (0.82372858383196561209e-3 + (0.44160495311765438816e-5 + (0.22798861426211986056e-7 + (0.11291291745879239736e-9 + (0.53386189365816880454e-12 + 0.23944209546666666667e-14 * t) * t) * t) * t) * t) * t;
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}
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case 8: {
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G4double t = 2*y100 - 17;
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return 0.13099232878814653979e-1 + (0.84167002467906968214e-3 + (0.45555958988457506002e-5 + (0.23723907357214175198e-7 + (0.11839789326602695603e-9 + (0.56346163067550237877e-12 + 0.25403679644444444444e-14 * t) * t) * t) * t) * t) * t;
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}
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case 9: {
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G4double t = 2*y100 - 19;
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return 0.14800987015587535621e-1 + (0.86018092946345943214e-3 + (0.47008265848816866105e-5 + (0.24694040760197315333e-7 + (0.12418779768752299093e-9 + (0.59486890370320261949e-12 + 0.26957764568888888889e-14 * t) * t) * t) * t) * t) * t;
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}
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case 10: {
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G4double t = 2*y100 - 21;
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return 0.16540351739394069380e-1 + (0.87928458641241463952e-3 + (0.48520195793001753903e-5 + (0.25711774900881709176e-7 + (0.13030128534230822419e-9 + (0.62820097586874779402e-12 + 0.28612737351111111111e-14 * t) * t) * t) * t) * t) * t;
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}
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case 11: {
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G4double t = 2*y100 - 23;
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return 0.18318536789842392647e-1 + (0.89900542647891721692e-3 + (0.50094684089553365810e-5 + (0.26779777074218070482e-7 + (0.13675822186304615566e-9 + (0.66358287745352705725e-12 + 0.30375273884444444444e-14 * t) * t) * t) * t) * t) * t;
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}
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case 12: {
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G4double t = 2*y100 - 25;
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return 0.20136801964214276775e-1 + (0.91936908737673676012e-3 + (0.51734830914104276820e-5 + (0.27900878609710432673e-7 + (0.14357976402809042257e-9 + (0.70114790311043728387e-12 + 0.32252476000000000000e-14 * t) * t) * t) * t) * t) * t;
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}
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case 13: {
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G4double t = 2*y100 - 27;
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return 0.21996459598282740954e-1 + (0.94040248155366777784e-3 + (0.53443911508041164739e-5 + (0.29078085538049374673e-7 + (0.15078844500329731137e-9 + (0.74103813647499204269e-12 + 0.34251892320000000000e-14 * t) * t) * t) * t) * t) * t;
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}
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case 14: {
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G4double t = 2*y100 - 29;
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return 0.23898877187226319502e-1 + (0.96213386835900177540e-3 + (0.55225386998049012752e-5 + (0.30314589961047687059e-7 + (0.15840826497296335264e-9 + (0.78340500472414454395e-12 + 0.36381553564444444445e-14 * t) * t) * t) * t) * t) * t;
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}
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case 15: {
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G4double t = 2*y100 - 31;
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return 0.25845480155298518485e-1 + (0.98459293067820123389e-3 + (0.57082915920051843672e-5 + (0.31613782169164830118e-7 + (0.16646478745529630813e-9 + (0.82840985928785407942e-12 + 0.38649975768888888890e-14 * t) * t) * t) * t) * t) * t;
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}
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case 16: {
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G4double t = 2*y100 - 33;
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return 0.27837754783474696598e-1 + (0.10078108563256892757e-2 + (0.59020366493792212221e-5 + (0.32979263553246520417e-7 + (0.17498524159268458073e-9 + (0.87622459124842525110e-12 + 0.41066206488888888890e-14 * t) * t) * t) * t) * t) * t;
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}
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case 17: {
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G4double t = 2*y100 - 35;
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return 0.29877251304899307550e-1 + (0.10318204245057349310e-2 + (0.61041829697162055093e-5 + (0.34414860359542720579e-7 + (0.18399863072934089607e-9 + (0.92703227366365046533e-12 + 0.43639844053333333334e-14 * t) * t) * t) * t) * t) * t;
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}
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case 18: {
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G4double t = 2*y100 - 37;
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return 0.31965587178596443475e-1 + (0.10566560976716574401e-2 + (0.63151633192414586770e-5 + (0.35924638339521924242e-7 + (0.19353584758781174038e-9 + (0.98102783859889264382e-12 + 0.46381060817777777779e-14 * t) * t) * t) * t) * t) * t;
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}
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case 19: {
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G4double t = 2*y100 - 39;
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return 0.34104450552588334840e-1 + (0.10823541191350532574e-2 + (0.65354356159553934436e-5 + (0.37512918348533521149e-7 + (0.20362979635817883229e-9 + (0.10384187833037282363e-11 + 0.49300625262222222221e-14 * t) * t) * t) * t) * t) * t;
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}
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case 20: {
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G4double t = 2*y100 - 41;
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return 0.36295603928292425716e-1 + (0.11089526167995268200e-2 + (0.67654845095518363577e-5 + (0.39184292949913591646e-7 + (0.21431552202133775150e-9 + (0.10994259106646731797e-11 + 0.52409949102222222221e-14 * t) * t) * t) * t) * t) * t;
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}
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case 21: {
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G4double t = 2*y100 - 43;
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return 0.38540888038840509795e-1 + (0.11364917134175420009e-2 + (0.70058230641246312003e-5 + (0.40943644083718586939e-7 + (0.22563034723692881631e-9 + (0.11642841011361992885e-11 + 0.55721092871111111110e-14 * t) * t) * t) * t) * t) * t;
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}
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case 22: {
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G4double t = 2*y100 - 45;
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return 0.40842225954785960651e-1 + (0.11650136437945673891e-2 + (0.72569945502343006619e-5 + (0.42796161861855042273e-7 + (0.23761401711005024162e-9 + (0.12332431172381557035e-11 + 0.59246802364444444445e-14 * t) * t) * t) * t) * t) * t;
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}
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case 23: {
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G4double t = 2*y100 - 47;
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return 0.43201627431540222422e-1 + (0.11945628793917272199e-2 + (0.75195743532849206263e-5 + (0.44747364553960993492e-7 + (0.25030885216472953674e-9 + (0.13065684400300476484e-11 + 0.63000532853333333334e-14 * t) * t) * t) * t) * t) * t;
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}
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case 24: {
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G4double t = 2*y100 - 49;
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return 0.45621193513810471438e-1 + (0.12251862608067529503e-2 + (0.77941720055551920319e-5 + (0.46803119830954460212e-7 + (0.26375990983978426273e-9 + (0.13845421370977119765e-11 + 0.66996477404444444445e-14 * t) * t) * t) * t) * t) * t;
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}
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case 25: {
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G4double t = 2*y100 - 51;
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return 0.48103121413299865517e-1 + (0.12569331386432195113e-2 + (0.80814333496367673980e-5 + (0.48969667335682018324e-7 + (0.27801515481905748484e-9 + (0.14674637611609884208e-11 + 0.71249589351111111110e-14 * t) * t) * t) * t) * t) * t;
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}
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case 26: {
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G4double t = 2*y100 - 53;
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return 0.50649709676983338501e-1 + (0.12898555233099055810e-2 + (0.83820428414568799654e-5 + (0.51253642652551838659e-7 + (0.29312563849675507232e-9 + (0.15556512782814827846e-11 + 0.75775607822222222221e-14 * t) * t) * t) * t) * t) * t;
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}
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case 27: {
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G4double t = 2*y100 - 55;
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return 0.53263363664388864181e-1 + (0.13240082443256975769e-2 + (0.86967260015007658418e-5 + (0.53662102750396795566e-7 + (0.30914568786634796807e-9 + (0.16494420240828493176e-11 + 0.80591079644444444445e-14 * t) * t) * t) * t) * t) * t;
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}
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case 28: {
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G4double t = 2*y100 - 57;
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return 0.55946601353500013794e-1 + (0.13594491197408190706e-2 + (0.90262520233016380987e-5 + (0.56202552975056695376e-7 + (0.32613310410503135996e-9 + (0.17491936862246367398e-11 + 0.85713381688888888890e-14 * t) * t) * t) * t) * t) * t;
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}
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case 29: {
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G4double t = 2*y100 - 59;
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return 0.58702059496154081813e-1 + (0.13962391363223647892e-2 + (0.93714365487312784270e-5 + (0.58882975670265286526e-7 + (0.34414937110591753387e-9 + (0.18552853109751857859e-11 + 0.91160736711111111110e-14 * t) * t) * t) * t) * t) * t;
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}
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case 30: {
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G4double t = 2*y100 - 61;
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return 0.61532500145144778048e-1 + (0.14344426411912015247e-2 + (0.97331446201016809696e-5 + (0.61711860507347175097e-7 + (0.36325987418295300221e-9 + (0.19681183310134518232e-11 + 0.96952238400000000000e-14 * t) * t) * t) * t) * t) * t;
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}
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case 31: {
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G4double t = 2*y100 - 63;
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return 0.64440817576653297993e-1 + (0.14741275456383131151e-2 + (0.10112293819576437838e-4 + (0.64698236605933246196e-7 + (0.38353412915303665586e-9 + (0.20881176114385120186e-11 + 0.10310784480000000000e-13 * t) * t) * t) * t) * t) * t;
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}
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case 32: {
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G4double t = 2*y100 - 65;
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return 0.67430045633130393282e-1 + (0.15153655418916540370e-2 + (0.10509857606888328667e-4 + (0.67851706529363332855e-7 + (0.40504602194811140006e-9 + (0.22157325110542534469e-11 + 0.10964842115555555556e-13 * t) * t) * t) * t) * t) * t;
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}
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case 33: {
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G4double t = 2*y100 - 67;
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return 0.70503365513338850709e-1 + (0.15582323336495709827e-2 + (0.10926868866865231089e-4 + (0.71182482239613507542e-7 + (0.42787405890153386710e-9 + (0.23514379522274416437e-11 + 0.11659571751111111111e-13 * t) * t) * t) * t) * t) * t;
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||||
}
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case 34: {
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G4double t = 2*y100 - 69;
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return 0.73664114037944596353e-1 + (0.16028078812438820413e-2 + (0.11364423678778207991e-4 + (0.74701423097423182009e-7 + (0.45210162777476488324e-9 + (0.24957355004088569134e-11 + 0.12397238257777777778e-13 * t) * t) * t) * t) * t) * t;
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||||
}
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case 35: {
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G4double t = 2*y100 - 71;
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return 0.76915792420819562379e-1 + (0.16491766623447889354e-2 + (0.11823685320041302169e-4 + (0.78420075993781544386e-7 + (0.47781726956916478925e-9 + (0.26491544403815724749e-11 + 0.13180196462222222222e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 36: {
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||||
G4double t = 2*y100 - 73;
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return 0.80262075578094612819e-1 + (0.16974279491709504117e-2 + (0.12305888517309891674e-4 + (0.82350717698979042290e-7 + (0.50511496109857113929e-9 + (0.28122528497626897696e-11 + 0.14010889635555555556e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 37: {
|
||||
G4double t = 2*y100 - 75;
|
||||
return 0.83706822008980357446e-1 + (0.17476561032212656962e-2 + (0.12812343958540763368e-4 + (0.86506399515036435592e-7 + (0.53409440823869467453e-9 + (0.29856186620887555043e-11 + 0.14891851591111111111e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 38: {
|
||||
G4double t = 2*y100 - 77;
|
||||
return 0.87254084284461718231e-1 + (0.17999608886001962327e-2 + (0.13344443080089492218e-4 + (0.90900994316429008631e-7 + (0.56486134972616465316e-9 + (0.31698707080033956934e-11 + 0.15825697795555555556e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 39: {
|
||||
G4double t = 2*y100 - 79;
|
||||
return 0.90908120182172748487e-1 + (0.18544478050657699758e-2 + (0.13903663143426120077e-4 + (0.95549246062549906177e-7 + (0.59752787125242054315e-9 + (0.33656597366099099413e-11 + 0.16815130613333333333e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 40: {
|
||||
G4double t = 2*y100 - 81;
|
||||
return 0.94673404508075481121e-1 + (0.19112284419887303347e-2 + (0.14491572616545004930e-4 + (0.10046682186333613697e-6 + (0.63221272959791000515e-9 + (0.35736693975589130818e-11 + 0.17862931591111111111e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 41: {
|
||||
G4double t = 2*y100 - 83;
|
||||
return 0.98554641648004456555e-1 + (0.19704208544725622126e-2 + (0.15109836875625443935e-4 + (0.10567036667675984067e-6 + (0.66904168640019354565e-9 + (0.37946171850824333014e-11 + 0.18971959040000000000e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 42: {
|
||||
G4double t = 2*y100 - 85;
|
||||
return 0.10255677889470089531e0 + (0.20321499629472857418e-2 + (0.15760224242962179564e-4 + (0.11117756071353507391e-6 + (0.70814785110097658502e-9 + (0.40292553276632563925e-11 + 0.20145143075555555556e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 43: {
|
||||
G4double t = 2*y100 - 87;
|
||||
return 0.10668502059865093318e0 + (0.20965479776148731610e-2 + (0.16444612377624983565e-4 + (0.11700717962026152749e-6 + (0.74967203250938418991e-9 + (0.42783716186085922176e-11 + 0.21385479360000000000e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 44: {
|
||||
G4double t = 2*y100 - 89;
|
||||
return 0.11094484319386444474e0 + (0.21637548491908170841e-2 + (0.17164995035719657111e-4 + (0.12317915750735938089e-6 + (0.79376309831499633734e-9 + (0.45427901763106353914e-11 + 0.22696025653333333333e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 45: {
|
||||
G4double t = 2*y100 - 91;
|
||||
return 0.11534201115268804714e0 + (0.22339187474546420375e-2 + (0.17923489217504226813e-4 + (0.12971465288245997681e-6 + (0.84057834180389073587e-9 + (0.48233721206418027227e-11 + 0.24079890062222222222e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 46: {
|
||||
G4double t = 2*y100 - 93;
|
||||
return 0.11988259392684094740e0 + (0.23071965691918689601e-2 + (0.18722342718958935446e-4 + (0.13663611754337957520e-6 + (0.89028385488493287005e-9 + (0.51210161569225846701e-11 + 0.25540227111111111111e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 47: {
|
||||
G4double t = 2*y100 - 95;
|
||||
return 0.12457298393509812907e0 + (0.23837544771809575380e-2 + (0.19563942105711612475e-4 + (0.14396736847739470782e-6 + (0.94305490646459247016e-9 + (0.54366590583134218096e-11 + 0.27080225920000000000e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 48: {
|
||||
G4double t = 2*y100 - 97;
|
||||
return 0.12941991566142438816e0 + (0.24637684719508859484e-2 + (0.20450821127475879816e-4 + (0.15173366280523906622e-6 + (0.99907632506389027739e-9 + (0.57712760311351625221e-11 + 0.28703099555555555556e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 49: {
|
||||
G4double t = 2*y100 - 99;
|
||||
return 0.13443048593088696613e0 + (0.25474249981080823877e-2 + (0.21385669591362915223e-4 + (0.15996177579900443030e-6 + (0.10585428844575134013e-8 + (0.61258809536787882989e-11 + 0.30412080142222222222e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 50: {
|
||||
G4double t = 2*y100 - 101;
|
||||
return 0.13961217543434561353e0 + (0.26349215871051761416e-2 + (0.22371342712572567744e-4 + (0.16868008199296822247e-6 + (0.11216596910444996246e-8 + (0.65015264753090890662e-11 + 0.32210394506666666666e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 51: {
|
||||
G4double t = 2*y100 - 103;
|
||||
return 0.14497287157673800690e0 + (0.27264675383982439814e-2 + (0.23410870961050950197e-4 + (0.17791863939526376477e-6 + (0.11886425714330958106e-8 + (0.68993039665054288034e-11 + 0.34101266222222222221e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 52: {
|
||||
G4double t = 2*y100 - 105;
|
||||
return 0.15052089272774618151e0 + (0.28222846410136238008e-2 + (0.24507470422713397006e-4 + (0.18770927679626136909e-6 + (0.12597184587583370712e-8 + (0.73203433049229821618e-11 + 0.36087889048888888890e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 53: {
|
||||
G4double t = 2*y100 - 107;
|
||||
return 0.15626501395774612325e0 + (0.29226079376196624949e-2 + (0.25664553693768450545e-4 + (0.19808568415654461964e-6 + (0.13351257759815557897e-8 + (0.77658124891046760667e-11 + 0.38173420035555555555e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 54: {
|
||||
G4double t = 2*y100 - 109;
|
||||
return 0.16221449434620737567e0 + (0.30276865332726475672e-2 + (0.26885741326534564336e-4 + (0.20908350604346384143e-6 + (0.14151148144240728728e-8 + (0.82369170665974313027e-11 + 0.40360957457777777779e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 55: {
|
||||
G4double t = 2*y100 - 111;
|
||||
return 0.16837910595412130659e0 + (0.31377844510793082301e-2 + (0.28174873844911175026e-4 + (0.22074043807045782387e-6 + (0.14999481055996090039e-8 + (0.87348993661930809254e-11 + 0.42653528977777777779e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 56: {
|
||||
G4double t = 2*y100 - 113;
|
||||
return 0.17476916455659369953e0 + (0.32531815370903068316e-2 + (0.29536024347344364074e-4 + (0.23309632627767074202e-6 + (0.15899007843582444846e-8 + (0.92610375235427359475e-11 + 0.45054073102222222221e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 57: {
|
||||
G4double t = 2*y100 - 115;
|
||||
return 0.18139556223643701364e0 + (0.33741744168096996041e-2 + (0.30973511714709500836e-4 + (0.24619326937592290996e-6 + (0.16852609412267750744e-8 + (0.98166442942854895573e-11 + 0.47565418097777777779e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 58: {
|
||||
G4double t = 2*y100 - 117;
|
||||
return 0.18826980194443664549e0 + (0.35010775057740317997e-2 + (0.32491914440014267480e-4 + (0.26007572375886319028e-6 + (0.17863299617388376116e-8 + (0.10403065638343878679e-10 + 0.50190265831111111110e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 59: {
|
||||
G4double t = 2*y100 - 119;
|
||||
return 0.19540403413693967350e0 + (0.36342240767211326315e-2 + (0.34096085096200907289e-4 + (0.27479061117017637474e-6 + (0.18934228504790032826e-8 + (0.11021679075323598664e-10 + 0.52931171733333333334e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 60: {
|
||||
G4double t = 2*y100 - 121;
|
||||
return 0.20281109560651886959e0 + (0.37739673859323597060e-2 + (0.35791165457592409054e-4 + (0.29038742889416172404e-6 + (0.20068685374849001770e-8 + (0.11673891799578381999e-10 + 0.55790523093333333334e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 61: {
|
||||
G4double t = 2*y100 - 123;
|
||||
return 0.21050455062669334978e0 + (0.39206818613925652425e-2 + (0.37582602289680101704e-4 + (0.30691836231886877385e-6 + (0.21270101645763677824e-8 + (0.12361138551062899455e-10 + 0.58770520160000000000e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 62: {
|
||||
G4double t = 2*y100 - 125;
|
||||
return 0.21849873453703332479e0 + (0.40747643554689586041e-2 + (0.39476163820986711501e-4 + (0.32443839970139918836e-6 + (0.22542053491518680200e-8 + (0.13084879235290858490e-10 + 0.61873153262222222221e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 63: {
|
||||
G4double t = 2*y100 - 127;
|
||||
return 0.22680879990043229327e0 + (0.42366354648628516935e-2 + (0.41477956909656896779e-4 + (0.34300544894502810002e-6 + (0.23888264229264067658e-8 + (0.13846596292818514601e-10 + 0.65100183751111111110e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 64: {
|
||||
G4double t = 2*y100 - 129;
|
||||
return 0.23545076536988703937e0 + (0.44067409206365170888e-2 + (0.43594444916224700881e-4 + (0.36268045617760415178e-6 + (0.25312606430853202748e-8 + (0.14647791812837903061e-10 + 0.68453122631111111110e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 65: {
|
||||
G4double t = 2*y100 - 131;
|
||||
return 0.24444156740777432838e0 + (0.45855530511605787178e-2 + (0.45832466292683085475e-4 + (0.38352752590033030472e-6 + (0.26819103733055603460e-8 + (0.15489984390884756993e-10 + 0.71933206364444444445e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 66: {
|
||||
G4double t = 2*y100 - 133;
|
||||
return 0.25379911500634264643e0 + (0.47735723208650032167e-2 + (0.48199253896534185372e-4 + (0.40561404245564732314e-6 + (0.28411932320871165585e-8 + (0.16374705736458320149e-10 + 0.75541379822222222221e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 67: {
|
||||
G4double t = 2*y100 - 135;
|
||||
return 0.26354234756393613032e0 + (0.49713289477083781266e-2 + (0.50702455036930367504e-4 + (0.42901079254268185722e-6 + (0.30095422058900481753e-8 + (0.17303497025347342498e-10 + 0.79278273368888888890e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 68: {
|
||||
G4double t = 2*y100 - 137;
|
||||
return 0.27369129607732343398e0 + (0.51793846023052643767e-2 + (0.53350152258326602629e-4 + (0.45379208848865015485e-6 + (0.31874057245814381257e-8 + (0.18277905010245111046e-10 + 0.83144182364444444445e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 69: {
|
||||
G4double t = 2*y100 - 139;
|
||||
return 0.28426714781640316172e0 + (0.53983341916695141966e-2 + (0.56150884865255810638e-4 + (0.48003589196494734238e-6 + (0.33752476967570796349e-8 + (0.19299477888083469086e-10 + 0.87139049137777777779e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 70: {
|
||||
G4double t = 2*y100 - 141;
|
||||
return 0.29529231465348519920e0 + (0.56288077305420795663e-2 + (0.59113671189913307427e-4 + (0.50782393781744840482e-6 + (0.35735475025851713168e-8 + (0.20369760937017070382e-10 + 0.91262442613333333334e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 71: {
|
||||
G4double t = 2*y100 - 143;
|
||||
return 0.30679050522528838613e0 + (0.58714723032745403331e-2 + (0.62248031602197686791e-4 + (0.53724185766200945789e-6 + (0.37827999418960232678e-8 + (0.21490291930444538307e-10 + 0.95513539182222222221e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 72: {
|
||||
G4double t = 2*y100 - 145;
|
||||
return 0.31878680111173319425e0 + (0.61270341192339103514e-2 + (0.65564012259707640976e-4 + (0.56837930287837738996e-6 + (0.40035151353392378882e-8 + (0.22662596341239294792e-10 + 0.99891109760000000000e-13 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 73: {
|
||||
G4double t = 2*y100 - 147;
|
||||
return 0.33130773722152622027e0 + (0.63962406646798080903e-2 + (0.69072209592942396666e-4 + (0.60133006661885941812e-6 + (0.42362183765883466691e-8 + (0.23888182347073698382e-10 + 0.10439349811555555556e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 74: {
|
||||
G4double t = 2*y100 - 149;
|
||||
return 0.34438138658041336523e0 + (0.66798829540414007258e-2 + (0.72783795518603561144e-4 + (0.63619220443228800680e-6 + (0.44814499336514453364e-8 + (0.25168535651285475274e-10 + 0.10901861383111111111e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 75: {
|
||||
G4double t = 2*y100 - 151;
|
||||
return 0.35803744972380175583e0 + (0.69787978834882685031e-2 + (0.76710543371454822497e-4 + (0.67306815308917386747e-6 + (0.47397647975845228205e-8 + (0.26505114141143050509e-10 + 0.11376390933333333333e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 76: {
|
||||
G4double t = 2*y100 - 153;
|
||||
return 0.37230734890119724188e0 + (0.72938706896461381003e-2 + (0.80864854542670714092e-4 + (0.71206484718062688779e-6 + (0.50117323769745883805e-8 + (0.27899342394100074165e-10 + 0.11862637614222222222e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 77: {
|
||||
G4double t = 2*y100 - 155;
|
||||
return 0.38722432730555448223e0 + (0.76260375162549802745e-2 + (0.85259785810004603848e-4 + (0.75329383305171327677e-6 + (0.52979361368388119355e-8 + (0.29352606054164086709e-10 + 0.12360253370666666667e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 78: {
|
||||
G4double t = 2*y100 - 157;
|
||||
return 0.40282355354616940667e0 + (0.79762880915029728079e-2 + (0.89909077342438246452e-4 + (0.79687137961956194579e-6 + (0.55989731807360403195e-8 + (0.30866246101464869050e-10 + 0.12868841946666666667e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 79: {
|
||||
G4double t = 2*y100 - 159;
|
||||
return 0.41914223158913787649e0 + (0.83456685186950463538e-2 + (0.94827181359250161335e-4 + (0.84291858561783141014e-6 + (0.59154537751083485684e-8 + (0.32441553034347469291e-10 + 0.13387957943111111111e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 80: {
|
||||
G4double t = 2*y100 - 161;
|
||||
return 0.43621971639463786896e0 + (0.87352841828289495773e-2 + (0.10002929142066799966e-3 + (0.89156148280219880024e-6 + (0.62480008150788597147e-8 + (0.34079760983458878910e-10 + 0.13917107176888888889e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 81: {
|
||||
G4double t = 2*y100 - 163;
|
||||
return 0.45409763548534330981e0 + (0.91463027755548240654e-2 + (0.10553137232446167258e-3 + (0.94293113464638623798e-6 + (0.65972492312219959885e-8 + (0.35782041795476563662e-10 + 0.14455745872000000000e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 82: {
|
||||
G4double t = 2*y100 - 165;
|
||||
return 0.47282001668512331468e0 + (0.95799574408860463394e-2 + (0.11135019058000067469e-3 + (0.99716373005509038080e-6 + (0.69638453369956970347e-8 + (0.37549499088161345850e-10 + 0.15003280712888888889e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 83: {
|
||||
G4double t = 2*y100 - 167;
|
||||
return 0.49243342227179841649e0 + (0.10037550043909497071e-1 + (0.11750334542845234952e-3 + (0.10544006716188967172e-5 + (0.73484461168242224872e-8 + (0.39383162326435752965e-10 + 0.15559069118222222222e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 84: {
|
||||
G4double t = 2*y100 - 169;
|
||||
return 0.51298708979209258326e0 + (0.10520454564612427224e-1 + (0.12400930037494996655e-3 + (0.11147886579371265246e-5 + (0.77517184550568711454e-8 + (0.41283980931872622611e-10 + 0.16122419680000000000e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 85: {
|
||||
G4double t = 2*y100 - 171;
|
||||
return 0.53453307979101369843e0 + (0.11030120618800726938e-1 + (0.13088741519572269581e-3 + (0.11784797595374515432e-5 + (0.81743383063044825400e-8 + (0.43252818449517081051e-10 + 0.16692592640000000000e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 86: {
|
||||
G4double t = 2*y100 - 173;
|
||||
return 0.55712643071169299478e0 + (0.11568077107929735233e-1 + (0.13815797838036651289e-3 + (0.12456314879260904558e-5 + (0.86169898078969313597e-8 + (0.45290446811539652525e-10 + 0.17268801084444444444e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 87: {
|
||||
G4double t = 2*y100 - 175;
|
||||
return 0.58082532122519320968e0 + (0.12135935999503877077e-1 + (0.14584223996665838559e-3 + (0.13164068573095710742e-5 + (0.90803643355106020163e-8 + (0.47397540713124619155e-10 + 0.17850211608888888889e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 88: {
|
||||
G4double t = 2*y100 - 177;
|
||||
return 0.60569124025293375554e0 + (0.12735396239525550361e-1 + (0.15396244472258863344e-3 + (0.13909744385382818253e-5 + (0.95651595032306228245e-8 + (0.49574672127669041550e-10 + 0.18435945564444444444e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 89: {
|
||||
G4double t = 2*y100 - 179;
|
||||
return 0.63178916494715716894e0 + (0.13368247798287030927e-1 + (0.16254186562762076141e-3 + (0.14695084048334056083e-5 + (0.10072078109604152350e-7 + (0.51822304995680707483e-10 + 0.19025081422222222222e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 90: {
|
||||
G4double t = 2*y100 - 181;
|
||||
return 0.65918774689725319200e0 + (0.14036375850601992063e-1 + (0.17160483760259706354e-3 + (0.15521885688723188371e-5 + (0.10601827031535280590e-7 + (0.54140790105837520499e-10 + 0.19616655146666666667e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 91: {
|
||||
G4double t = 2*y100 - 183;
|
||||
return 0.68795950683174433822e0 + (0.14741765091365869084e-1 + (0.18117679143520433835e-3 + (0.16392004108230585213e-5 + (0.11155116068018043001e-7 + (0.56530360194925690374e-10 + 0.20209663662222222222e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 92: {
|
||||
G4double t = 2*y100 - 185;
|
||||
return 0.71818103808729967036e0 + (0.15486504187117112279e-1 + (0.19128428784550923217e-3 + (0.17307350969359975848e-5 + (0.11732656736113607751e-7 + (0.58991125287563833603e-10 + 0.20803065333333333333e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 93: {
|
||||
G4double t = 2*y100 - 187;
|
||||
return 0.74993321911726254661e0 + (0.16272790364044783382e-1 + (0.20195505163377912645e-3 + (0.18269894883203346953e-5 + (0.12335161021630225535e-7 + (0.61523068312169087227e-10 + 0.21395783431111111111e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 94: {
|
||||
G4double t = 2*y100 - 189;
|
||||
return 0.78330143531283492729e0 + (0.17102934132652429240e-1 + (0.21321800585063327041e-3 + (0.19281661395543913713e-5 + (0.12963340087354341574e-7 + (0.64126040998066348872e-10 + 0.21986708942222222222e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 95: {
|
||||
G4double t = 2*y100 - 191;
|
||||
return 0.81837581041023811832e0 + (0.17979364149044223802e-1 + (0.22510330592753129006e-3 + (0.20344732868018175389e-5 + (0.13617902941839949718e-7 + (0.66799760083972474642e-10 + 0.22574701262222222222e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 96: {
|
||||
G4double t = 2*y100 - 193;
|
||||
return 0.85525144775685126237e0 + (0.18904632212547561026e-1 + (0.23764237370371255638e-3 + (0.21461248251306387979e-5 + (0.14299555071870523786e-7 + (0.69543803864694171934e-10 + 0.23158593688888888889e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 97: {
|
||||
G4double t = 2*y100 - 195;
|
||||
return 0.89402868170849933734e0 + (0.19881418399127202569e-1 + (0.25086793128395995798e-3 + (0.22633402747585233180e-5 + (0.15008997042116532283e-7 + (0.72357609075043941261e-10 + 0.23737194737777777778e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 98: {
|
||||
G4double t = 2*y100 - 197;
|
||||
return 0.93481333942870796363e0 + (0.20912536329780368893e-1 + (0.26481403465998477969e-3 + (0.23863447359754921676e-5 + (0.15746923065472184451e-7 + (0.75240468141720143653e-10 + 0.24309291271111111111e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
case 99: {
|
||||
G4double t = 2*y100 - 199;
|
||||
return 0.97771701335885035464e0 + (0.22000938572830479551e-1 + (0.27951610702682383001e-3 + (0.25153688325245314530e-5 + (0.16514019547822821453e-7 + (0.78191526829368231251e-10 + 0.24873652355555555556e-12 * t) * t) * t) * t) * t) * t;
|
||||
}
|
||||
}
|
||||
// we only get here if y = 1, i.e. |x| < 4*eps, in which case
|
||||
// erfcx is within 1e-15 of 1..
|
||||
return 1.0;
|
||||
}
|
||||
|
||||
|
||||
G4double G4ErrorFunction::NormQuantile(G4double p)
|
||||
{
|
||||
G4double a0 = 3.3871328727963666080e0;
|
||||
G4double a1 = 1.3314166789178437745e+2;
|
||||
G4double a2 = 1.9715909503065514427e+3;
|
||||
G4double a3 = 1.3731693765509461125e+4;
|
||||
G4double a4 = 4.5921953931549871457e+4;
|
||||
G4double a5 = 6.7265770927008700853e+4;
|
||||
G4double a6 = 3.3430575583588128105e+4;
|
||||
G4double a7 = 2.5090809287301226727e+3;
|
||||
G4double b1 = 4.2313330701600911252e+1;
|
||||
G4double b2 = 6.8718700749205790830e+2;
|
||||
G4double b3 = 5.3941960214247511077e+3;
|
||||
G4double b4 = 2.1213794301586595867e+4;
|
||||
G4double b5 = 3.9307895800092710610e+4;
|
||||
G4double b6 = 2.8729085735721942674e+4;
|
||||
G4double b7 = 5.2264952788528545610e+3;
|
||||
G4double c0 = 1.42343711074968357734e0;
|
||||
G4double c1 = 4.63033784615654529590e0;
|
||||
G4double c2 = 5.76949722146069140550e0;
|
||||
G4double c3 = 3.64784832476320460504e0;
|
||||
G4double c4 = 1.27045825245236838258e0;
|
||||
G4double c5 = 2.41780725177450611770e-1;
|
||||
G4double c6 = 2.27238449892691845833e-2;
|
||||
G4double c7 = 7.74545014278341407640e-4;
|
||||
G4double d1 = 2.05319162663775882187e0;
|
||||
G4double d2 = 1.67638483018380384940e0;
|
||||
G4double d3 = 6.89767334985100004550e-1;
|
||||
G4double d4 = 1.48103976427480074590e-1;
|
||||
G4double d5 = 1.51986665636164571966e-2;
|
||||
G4double d6 = 5.47593808499534494600e-4;
|
||||
G4double d7 = 1.05075007164441684324e-9;
|
||||
G4double e0 = 6.65790464350110377720e0;
|
||||
G4double e1 = 5.46378491116411436990e0;
|
||||
G4double e2 = 1.78482653991729133580e0;
|
||||
G4double e3 = 2.96560571828504891230e-1;
|
||||
G4double e4 = 2.65321895265761230930e-2;
|
||||
G4double e5 = 1.24266094738807843860e-3;
|
||||
G4double e6 = 2.71155556874348757815e-5;
|
||||
G4double e7 = 2.01033439929228813265e-7;
|
||||
G4double f1 = 5.99832206555887937690e-1;
|
||||
G4double f2 = 1.36929880922735805310e-1;
|
||||
G4double f3 = 1.48753612908506148525e-2;
|
||||
G4double f4 = 7.86869131145613259100e-4;
|
||||
G4double f5 = 1.84631831751005468180e-5;
|
||||
G4double f6 = 1.42151175831644588870e-7;
|
||||
G4double f7 = 2.04426310338993978564e-15;
|
||||
|
||||
G4double split1 = 0.425;
|
||||
G4double split2=5.;
|
||||
G4double konst1=0.180625;
|
||||
G4double konst2=1.6;
|
||||
|
||||
G4double q, r, quantile;
|
||||
q=p-0.5;
|
||||
if (std::abs(q)<split1) {
|
||||
r=konst1-q*q;
|
||||
quantile = q* (((((((a7 * r + a6) * r + a5) * r + a4) * r + a3)
|
||||
* r + a2) * r + a1) * r + a0) /
|
||||
(((((((b7 * r + b6) * r + b5) * r + b4) * r + b3)
|
||||
* r + b2) * r + b1) * r + 1.);
|
||||
} else {
|
||||
if(q<0) r=p;
|
||||
else r=1-p;
|
||||
//error case
|
||||
if (r<=0)
|
||||
quantile=0;
|
||||
else {
|
||||
r=std::sqrt(-std::log(r));
|
||||
if (r<=split2) {
|
||||
r=r-konst2;
|
||||
quantile=(((((((c7 * r + c6) * r + c5) * r + c4) * r + c3)
|
||||
* r + c2) * r + c1) * r + c0) /
|
||||
(((((((d7 * r + d6) * r + d5) * r + d4) * r + d3)
|
||||
* r + d2) * r + d1) * r + 1);
|
||||
} else{
|
||||
r=r-split2;
|
||||
quantile=(((((((e7 * r + e6) * r + e5) * r + e4) * r + e3)
|
||||
* r + e2) * r + e1) * r + e0) /
|
||||
(((((((f7 * r + f6) * r + f5) * r + f4) * r + f3)
|
||||
* r + f2) * r + f1) * r + 1);
|
||||
}
|
||||
if (q<0) quantile=-quantile;
|
||||
}
|
||||
}
|
||||
return quantile;
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
G4double G4ErrorFunction::erfcx(G4double x)
|
||||
{
|
||||
if (x >= 0) {
|
||||
if (x > 50) { // continued-fraction expansion is faster
|
||||
const G4double ispi = 1./std::sqrt(CLHEP::pi); //0.56418958354775628694807945156; // 1 / sqrt(pi)
|
||||
if (x > 5e7) // 1-term expansion, important to avoid overflow
|
||||
return ispi / x;
|
||||
/* 5-term expansion (rely on compiler for CSE), simplified from:
|
||||
ispi / (x+0.5/(x+1/(x+1.5/(x+2/x)))) */
|
||||
return ispi*((x*x) * (x*x+4.5) + 2) / (x * ((x*x) * (x*x+5) + 3.75));
|
||||
}
|
||||
return erfcx_y100(400/(4+x));
|
||||
}
|
||||
else
|
||||
return x < -26.7 ? HUGE_VAL : (x < -6.1 ? 2*std::exp(x*x)
|
||||
: 2*std::exp(x*x) - erfcx_y100(400/(4-x)));
|
||||
}
|
||||
|
||||
|
||||
G4double G4ErrorFunction::erfc(G4double x) {
|
||||
return 1.0 - std::erf(x);
|
||||
}
|
||||
|
||||
|
||||
G4double G4ErrorFunction::erfcWxy(G4double c, G4double x, G4double y) {
|
||||
return c * ( erfc(x) - std::exp(-x*x) * erfcx(x+y) );
|
||||
}
|
||||
|
||||
|
||||
G4double G4ErrorFunction::Lambda(G4double x, G4double beta, G4double alphatilde) {
|
||||
return std::exp(-beta*beta/x) * ( 1.0 - alphatilde * std::sqrt(CLHEP::pi * x) * erfcx(beta/std::sqrt(x) + alphatilde*std::sqrt(x)));
|
||||
}
|
||||
|
||||
|
||||
G4double G4ErrorFunction::erfcInv(G4double x) {
|
||||
return - 0.70710678118654752440 * NormQuantile( 0.5 * x);
|
||||
}
|
||||
|
||||
|
||||
Reference in New Issue
Block a user