/*  calculus.cpp

This file is part of a program that implements a Software-Defined Radio.

Copyright (C) 2013, 2016, 2017 Warren Pratt, NR0V
Copyright (C) 2024 Edouard Griffiths, F4EXB Adapted to SDRangel

This program is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License
as published by the Free Software Foundation; either version 2
of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.

The author can be reached by email at

warren@wpratt.com

*/

#include "calculus.hpp"

namespace WDSP {

const double Calculus::GG[241 * 241] = {
7.25654181154076983e-01,    7.05038822098223439e-01,    6.85008217584843870e-01,    6.65545775927326222e-01,
6.46635376294157682e-01,    6.28261355371665386e-01,    6.10408494407843394e-01,    5.93062006626410732e-01,
5.76207525000389742e-01,    5.59831090374464435e-01,    5.43919139925240769e-01,    5.28458495948192608e-01,
5.13436354959492136e-01,    4.98840277100039253e-01,    4.84688969967675076e-01,    4.70909814534810289e-01,
4.57521471912888000e-01,    4.44512852719900098e-01,    4.31873182199089767e-01,    4.19591991295528599e-01,
4.07659107986400260e-01,    3.96064648857881507e-01,    3.84799010921707596e-01,    3.73852863664728419e-01,
3.63217141324964798e-01,    3.52883035387862143e-01,    3.42841987296637951e-01,    3.33085681370789699e-01,
3.23606037927003487e-01,    3.14395206596849275e-01,    3.05445559835778369e-01,    2.96749686618032860e-01,
2.87206631592817119e-01,    2.78991843367115244e-01,    2.72113718355548095e-01,    2.64362948713341928e-01,
2.56831936927795157e-01,    2.49514448410116635e-01,    2.42404425699790871e-01,    2.35495983441306872e-01,
2.28783403488493881e-01,    2.22261130125619683e-01,    2.15923765392377731e-01,    2.09766064497428073e-01,
2.03782931302197462e-01,    1.97969413853218812e-01,    1.92320699937423872e-01,    1.86832112630627822e-01,
1.81499105805131206e-01,    1.76317259558221723e-01,    1.71282275519808319e-01,    1.66389971994999025e-01,
1.61636278896860136e-01,    1.57017232426681502e-01,    1.52528969464751807e-01,    1.48167721644899719e-01,
1.43929809101816297e-01,    1.39811633902252153e-01,    1.35809673200099124e-01,    1.31920472191248972e-01,
1.28140636986505935e-01,    1.24466827568588331e-01,    1.20895751050444533e-01,    1.17424155503973601e-01,
1.14048824677226476e-01,    1.10766573960043455e-01,    1.07574247988188876e-01,    1.04468720289541864e-01,
1.01446895368216425e-01,    9.51186212967445877e-02,    9.56421591691190565e-02,    9.28532714754088523e-02,
9.01361597437876777e-02,    8.74880211456109946e-02,    8.49061619963948078e-02,    8.23880217018374550e-02,
7.99311988534044116e-02,    7.75334787006532744e-02,    7.51928610576248629e-02,    7.29075875565869252e-02,
7.06761670550925536e-02,    6.84973979415715722e-02,    6.63703860786682975e-02,    6.42945571780669106e-02,
6.22696625185238661e-02,    6.02957770998253303e-02,    5.83732895653654923e-02,    5.65028835172362090e-02,
5.46855101787379963e-02,    5.29223527154283405e-02,    5.12147828898997862e-02,    4.95643110783498264e-02,
4.79725309988991502e-02,    4.64410607733943548e-02,    4.49714821489518302e-02,    4.35652798289859200e-02,
4.22237828967113385e-02,    4.09481102533988117e-02,    3.97391218412614308e-02,    3.85973771850154149e-02,
3.75231024806065364e-02,    3.65161671024850087e-02,    3.55760700133092578e-02,    3.47019361645666338e-02,
3.38925225953651404e-02,    3.31462335895455415e-02,    3.24611439547574238e-02,    3.18350292532526905e-02,
3.12654016498969886e-02,    3.07495499503015052e-02,    3.02845823784297155e-02,    2.98674706820743346e-02,
2.94950942468653991e-02,    2.91642830337802486e-02,    2.88718583195180442e-02,    2.86146704017819532e-02,
2.83896326215964633e-02,    2.81937512428477657e-02,    2.80241509076147484e-02,    2.78780955487864385e-02,
2.77530047850123827e-02,    2.22011636050665657e-02,    2.16568236582778718e-02,    2.10424040404148492e-02,
2.04454772046426189e-02,    1.98655490310913826e-02,    1.93021395045929779e-02,    1.87547823163010038e-02,
1.82230244751804757e-02,    1.77064259283936133e-02,    1.72045591894200225e-02,    1.67170089725209407e-02,
1.62433718318902333e-02,    1.57832558035301725e-02,    1.53362800475583469e-02,    1.49020744883063827e-02,
1.44802794492372433e-02,    1.40705452794190281e-02,    1.36725319680972759e-02,    1.32859087438623440e-02,
1.29103536550862624e-02,    1.25455531287825255e-02,    1.21912015059080208e-02,    1.18470005524591287e-02,
1.15126589475811683e-02,    1.11878917523542398e-02,    1.08724198659416373e-02,    1.05659694793394585e-02,
1.02682715409324627e-02,    9.97906125225398941e-03,    9.69807761650229132e-03,    9.42506306614778952e-03,
9.15976319898444309e-03,    8.90192665380975731e-03,    8.65130515713727344e-03,    8.40765377056591941e-03,
8.17073136434667835e-03,    7.94030133611533899e-03,    7.71613258467813111e-03,    7.49800073731045520e-03,
7.28568961562716874e-03,    7.07899291027833805e-03,    6.87771601927349759e-03,    6.68167798954620151e-03,
6.49071348744346705e-03,    6.30467471220060548e-03,    6.12343315814527483e-03,    5.94688112725808536e-03,
5.77493289451168953e-03,    5.60752543457682367e-03,    5.44461863018162653e-03,    5.28619489945317440e-03,
5.13225820141927427e-03,    4.98283240460238933e-03,    4.83795903207053651e-03,    4.69769442594077883e-03,
4.56210640347687324e-03,    4.43127050383806953e-03,    4.30526594751908052e-03,    4.18417144805761573e-03,
4.06806102619511941e-03,    3.95699998034244882e-03,    3.85104116222583729e-03,    3.75022169466172547e-03,
3.65456024923370816e-03,    3.56405497687774502e-03,    3.47868215556348601e-03,    3.39839558820605918e-03,
3.32312675261929981e-03,    3.25278567562820899e-03,    3.18726248002623421e-03,    3.12642952418545460e-03,
3.07014404555116258e-03,    3.01825121072222353e-03,    2.97058746243801563e-03,    2.92698406948094670e-03,
2.88727078831057431e-03,    2.85127956211462955e-03,    2.81884820350484068e-03,    2.78982403142924874e-03,
2.76406746093032845e-03,    2.74145557599576872e-03,    2.72188575102912198e-03,    2.70527942590939640e-03,
2.69158618415107432e-03,    2.68078833466055700e-03,    2.67290625659073831e-03,    2.66800492887989561e-03,
2.66620206009633579e-03,    2.66767830949350216e-03,    0.00000000000000000e+00,    0.00000000000000000e+00,
0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,
0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,
0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,
0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,
0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,
5.16227766016837952e-02,    1.03245553203367590e-01,    1.54868329805051386e-01,    2.06491106406735181e-01,
2.58113883008418976e-01,    3.09736659610102771e-01,    3.61359436211786567e-01,    4.12982212813470362e-01,
4.64604989415154157e-01,    7.46793431117994788e-01,    7.25578462318162587e-01,    7.04965261570144053e-01,
6.84936754390764735e-01,    6.65476350830759400e-01,    6.46567931746866997e-01,    6.28195835465987451e-01,
6.10344844830366551e-01,    5.93000174612994924e-01,    5.76147459292488118e-01,    5.59772741176726485e-01,
5.43862458864375342e-01,    5.28403436033075380e-01,    5.13382870542510084e-01,    4.98788323839676695e-01,
4.84638506994755913e-01,    4.70860797886457627e-01,    4.57473860948376998e-01,    4.44466607962913762e-01,
4.31828265305006176e-01,    4.19548365019644598e-01,    4.07616736153068149e-01,    3.96023496330528246e-01,
3.84759043573713322e-01,    3.73814048351143013e-01,    3.63179445855032812e-01,    3.52846428498341080e-01,
3.42806438625880838e-01,    3.33051161433575271e-01,    3.23572518090093408e-01,    3.14362659055250737e-01,
3.05413957589696805e-01,    2.96719003450498453e-01,    2.87176892459525879e-01,    2.78962973969300643e-01,
2.72085642628211222e-01,    2.64335694600236148e-01,    2.56805481813128123e-01,    2.49488770340168836e-01,
2.42379503365003635e-01,    2.35471796159013369e-01,    2.28759931186321985e-01,    2.22238353325586252e-01,
2.15901665195711107e-01,    2.09744622570158440e-01,    2.03762129861559393e-01,    1.97949235654912958e-01,
1.92301128263783261e-01,    1.86813131279725597e-01,    1.81480699080846852e-01,    1.76299412261259780e-01,
1.71264972939616844e-01,    1.66373199902480035e-01,    1.61620023537690338e-01,    1.57001480514967900e-01,
1.52513708176643670e-01,    1.48152938611658153e-01,    1.43915492401724077e-01,    1.39797772050632485e-01,
1.35796255136621247e-01,    1.31907487263640127e-01,    1.28128074929792196e-01,    1.24454678479057237e-01,
1.20884005353684557e-01,    1.17412803916605302e-01,    1.14037858162306840e-01,    1.10755983676590536e-01,
1.07564025235824215e-01,    1.04458856449858861e-01,    1.01437381845110711e-01,    9.51082430089951192e-02,
9.56333202958859624e-02,    9.28447567151174241e-02,    9.01279600813469361e-02,    8.74801273885592312e-02,
8.48985647808008781e-02,    8.23807115212903812e-02,    7.99241661130388747e-02,    7.75267137969553738e-02,
7.51863544833372005e-02,    7.29013300284580418e-02,    7.06701496605806889e-02,    6.84916122990228415e-02,
6.63648245040507762e-02,    6.42892128501672266e-02,    6.22645296337021870e-02,    6.02908510070627596e-02,
5.83685668724883006e-02,    5.64983621598938793e-02,    5.46811894449499916e-02,    5.29182332202539490e-02,
5.12108664969578645e-02,    4.95606007674080709e-02,    4.79690306814321427e-02,    4.64377750607175635e-02,
4.49684160801118865e-02,    4.35624385678590118e-02,    4.22211714095867760e-02,    4.09457329795805958e-02,
3.97369823698259308e-02,    3.85954779507749618e-02,    3.75214444915609527e-02,    3.65147497096448420e-02,
3.55748907318486907e-02,    3.47009905529332488e-02,    3.38918041963933298e-02,    3.31457339349444519e-02,
3.24608526317281057e-02,    3.18349340295685443e-02,    3.12654886516706143e-02,    3.07498038849397630e-02,
3.02849867939986202e-02,    2.98680082534729628e-02,    2.94957470788331406e-02,    2.91650329708021787e-02,
2.88726872530978354e-02,    2.86155605662629826e-02,    2.83905668706635750e-02,    2.81947132999730496e-02,
2.80251255849599847e-02,    2.78790689303905700e-02,    2.28550522524377277e-02,    2.22039063841009583e-02,
2.16597867056030277e-02,    2.10455850202142386e-02,    2.04488788785967962e-02,    1.98691743560254763e-02,
1.93059916360252166e-02,    1.87588646122191227e-02,    1.82273405000373256e-02,    1.77109794573058615e-02,
1.72093542125444365e-02,    1.67220496995709247e-02,    1.62486626967405373e-02,    1.57888014688407491e-02,
1.53420854093287949e-02,    1.49081446802526319e-02,    1.44866198468624040e-02,    1.40771615036354124e-02,
1.36794298882491807e-02,    1.32930944800061634e-02,    1.29178335794123376e-02,    1.25533338661209526e-02,
1.21992899333581099e-02,    1.18554037983285669e-02,    1.15213843900259828e-02,    1.11969470183808806e-02,
1.08818128317697896e-02,    1.05757082735256080e-02,    1.02783645521072019e-02,    9.98951714380865753e-03,
9.70890535103944956e-03,    9.43627194294034688e-03,    9.17136290801527296e-03,    8.91392735012396312e-03,
8.66371755916658416e-03,    8.42048928571452471e-03,    8.18400224440431895e-03,    7.95402086394776837e-03,
7.73031529212197047e-03,    7.51266265228473559e-03,    7.30084853422026218e-03,    7.09466868706685582e-03,
6.89393086651002903e-03,    6.69845677328029156e-03,    6.50808400630867138e-03,    6.32266794272035634e-03,
6.14208344919558915e-03,    5.96622632597672200e-03,    5.79501438663218051e-03,    5.62838808401484609e-03,
5.46631060576509460e-03,    5.30876738095179858e-03,    5.15576496238517000e-03,    5.00732927577598932e-03,
4.86350325596615878e-03,    4.72434392033373521e-03,    4.58991895846553016e-03,    4.46030294352270981e-03,
4.33557329272999097e-03,    4.21580612020731795e-03,    4.10107213506153562e-03,    3.99143273838225079e-03,
3.88693646669281603e-03,    3.78761591521608459e-03,    3.69348525359831275e-03,    3.60453842075936096e-03,
3.52074805595351242e-03,    3.44206519188029227e-03,    3.36841970476811376e-03,    3.29972149171457599e-03,
3.23586231094757492e-03,    3.17671821094430004e-03,    3.12215246270230529e-03,    3.07201888965704913e-03,
3.02616550716424629e-03,    2.98443838143387825e-03,    2.94668563415630873e-03,    2.91276153998684673e-03,
2.88253069008938311e-03,    2.85587222632978973e-03,    2.83268418756007882e-03,    2.81288805214229042e-03,
2.79643361032177974e-03,    2.78330435775749887e-03,    2.77352366952125871e-03,    2.76716209469514418e-03,
2.76434631840666214e-03,    2.76527035555290202e-03,    2.77020965708224673e-03,    0.00000000000000000e+00,
0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,
0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,
0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,
0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,
0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,    0.00000000000000000e+00,
4.90068119869315477e-02,    9.80136239738630954e-02,    1.47020435960794643e-01,    1.96027247947726191e-01,
2.45034059934657739e-01,    2.94040871921589286e-01,    3.43047683908520806e-01,    3.92054495895452382e-01,
4.41061307882383957e-01,    4.90068119869315533e-01,    7.68542816024272435e-01,    7.46710926115933815e-01,
7.25498309022259202e-01,    7.04887393543050966e-01,    6.84861107088180487e-01,    6.65402861547934932e-01,
6.46496539566645212e-01,    6.28126481208326037e-01,    6.10277471003310312e-01,    5.92934725365060977e-01,
5.76083880366431877e-01,    5.59710979864664560e-01,    5.43802463964242588e-01,    5.28345157806396681e-01,
5.13326260673490187e-01,    4.98733335395591282e-01,    4.84585096719772623e-01,    4.70808919249005586e-01,
4.57423470934761434e-01,    4.44417664792550016e-01,    4.31780728395795732e-01,    4.19502194954348318e-01,
4.07571894646638289e-01,    3.95979946198381394e-01,    3.84716748700912603e-01,    3.73772973662463315e-01,
3.63139557285889480e-01,    3.52807692966551345e-01,    3.42768824004240247e-01,    3.33014636523224161e-01,
3.23537052594651875e-01,    3.14328223555703334e-01,    3.05380523520007219e-01,    2.96686543073937936e-01,
2.87145432165193948e-01,    2.78932435165207382e-01,    2.72055944863206389e-01,    2.64306867425222192e-01,
2.56777501306838019e-01,    2.49461613282904449e-01,    2.42353147219685927e-01,    2.35446219052922290e-01,
2.28735111893540843e-01,    2.22214271250182005e-01,    2.15878300355684921e-01,    2.09721955582208353e-01,
2.03740141926702395e-01,    1.97927908545017323e-01,    1.92280444309056747e-01,    1.86793073357197775e-01,
1.81461250603866309e-01,    1.76280557169995328e-01,    1.71246695692507667e-01,    1.66355485468521497e-01,
1.61602857389358284e-01,    1.56984848621493395e-01,    1.52497596997232976e-01,    1.48137335088131539e-01,
1.43900383949920357e-01,    1.39783146549805698e-01,    1.35782100915960546e-01,    1.31893793084987582e-01,
1.28114829965634475e-01,    1.24441872284947352e-01,    1.20871627834421735e-01,    1.17400845285783817e-01,
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5.25190571936452155e+00,    5.10484985869310304e+00,    4.96202424474100567e+00,    4.82331057890084303e+00,
4.68859397272211798e+00,    4.55776285306333673e+00,    4.43070886551527465e+00,    4.30732679642476235e+00,
4.18751446934404647e+00,    4.07117267271356109e+00,    3.95820507432742374e+00,    3.84851814193074748e+00,
3.74202106617909092e+00,    3.63862568586781476e+00,    3.53824641537468088e+00,    3.44080017426700024e+00,
3.34620631902371102e+00,    3.25438657682161159e+00,    3.16526498133505108e+00,    3.07876781049975889e+00,
2.99482352619313374e+00,    2.91336271578525885e+00,    2.83431803551654848e+00,    2.75762415565984709e+00,
2.68321770742630328e+00,    2.61103723157615830e+00,    2.54102312869697089e+00,    2.47311761111351158e+00,
2.40726465639494513e+00,    2.34340996242643662e+00,    2.28150090401379702e+00,    2.22148649099108697e+00,
2.16331732780238406e+00,    2.10694557452984732e+00,    2.05232490934111622e+00,    1.99941049232998092e+00,
1.94815893072593993e+00,    1.89852824545066001e+00,    1.85047783900126284e+00,    1.80396846463724581e+00,
1.75896219683192201e+00,    1.71542240291237258e+00,    1.67331371575474352e+00,    1.63260200734535843e+00,
1.59325436301319190e+00,    1.55523905625611047e+00,    1.51852552437713739e+00,    1.48308434559785729e+00,
1.44888721877316673e+00,    1.41590694700181552e+00,    1.38411742594955967e+00,    1.35349363633864450e+00,
1.32401163784996490e+00,    1.29564855919613775e+00,    1.26890296026747018e+00,    1.24271406105003535e+00,
1.21758148143897937e+00,    1.19348615315999496e+00,    1.17041316969998133e+00,    1.14833673259876923e+00,
1.12724551438316101e+00,    1.10712407322226447e+00,    1.08795779842979812e+00,    1.06973287673346062e+00,
1.05243625408112540e+00,    1.03605559455165808e+00,    1.02057922736776407e+00,    1.00599608948344343e+00,
9.92295657694587940e-01,    9.79467871620886665e-01,    9.67503053345509234e-01,    9.56391789299357975e-01,
9.46124825787020840e-01,    9.36692919113397915e-01,    9.28086667105150642e-01,    9.19652999913519786e-01,
9.13663676115704870e-01,    9.07467571099421666e-01,    9.02053647584314722e-01,    8.97408674755998170e-01,
8.93517916439531934e-01,    8.90364853497918940e-01,    8.87930880520563126e-01,    8.54314025736846117e-01,
8.57009869478799979e-01,    8.60040585172566874e-01,    8.63388481740157365e-01,    8.67032786144796397e-01,
8.70949597998957215e-01,    8.75111919779795633e-01,    8.79489773395726315e-01,    8.84050417631502383e-01,
8.88758680461578798e-01,    8.93577410563341612e-01,    8.98468056107945223e-01,    9.03391357101274273e-01,
9.08308132882587049e-01,    9.13180136641183249e-01,    9.17970955407023448e-01,    9.22646880145798542e-01,
9.27177721965593116e-01,    9.31537512527735978e-01,    9.35705040910862706e-01,    9.39664198315352750e-01,
9.43404090315707711e-01,    9.46918931533847541e-01,    9.50207720091432284e-01,    9.53273721712399991e-01,
9.56123816659279591e-01,    9.58767749887908249e-01,    9.61217351792860941e-01,    9.63485778830802664e-01,
9.65586820760221731e-01,    9.67534309853149588e-01,    9.69341653217515309e-01,    9.71021494850943578e-01,
9.72585500966597016e-01,    9.74044253998893717e-01,    9.75407233370555571e-01,    9.76682859550447424e-01,
9.77878578623231354e-01,    9.79000967742553407e-01,    9.80055846311762902e-01,    9.81048382526195639e-01,
9.81983189234333587e-01,    9.82864388791010457e-01,    9.83695762759432157e-01,    9.84480657956190330e-01,
9.85222175595438565e-01,    9.85923140931802111e-01,    9.86586147597526719e-01,    9.87213583554219620e-01,
9.87807652944889258e-01,    9.88370394710105571e-01,    9.88903698615277493e-01,    9.89409319175083124e-01,
9.89888887844806886e-01,    9.90343923764806289e-01,    9.90775843283733026e-01,    9.91185968441313014e-01,
9.91575534557647353e-01,    9.91945697049942621e-01,    9.92297537577090716e-01,    9.92632069596303790e-01,
9.92950243402869415e-01,    9.93252950713466642e-01,    9.93541028844733165e-01,    9.93815264531520248e-01,
9.94076397423273583e-01,    9.94325123291988078e-01,    9.94562096981136401e-01,    9.94787935121761224e-01,
9.95003218639269327e-01,    9.95208495072005150e-01,    9.95404280719640155e-01,    9.95591062635302282e-01,
9.95769300470317198e-01,    9.95939428175782626e-01,    9.96101855563666039e-01,    9.96256969734399145e-01,
9.96405136389168944e-01,    9.96546701060277873e-01,    9.96681990304704502e-01,    9.96811312904383184e-01,
9.96934961093949967e-01,    9.97058609283516750e-01,    9.97182257473083533e-01,    9.97305905662650316e-01,
9.97429553852217099e-01,    9.97553202041783882e-01,    9.97676850231350665e-01,    9.97800498420917448e-01,
9.97924146610484231e-01,    9.98047794800051014e-01,    9.98171442989617796e-01,    9.98295091179184579e-01,
9.98418739368751362e-01,    9.98542387558318145e-01,    9.98666035747884928e-01,    9.98789683937451711e-01,
9.98913332127018494e-01,    9.99036980316585277e-01,    9.99160628506152060e-01,    9.99284276695718843e-01,
9.99407924885285626e-01,    9.99531573074852409e-01,    9.99655221264419191e-01,    9.99778869453985974e-01,
9.99902517643552757e-01,    1.00000000000000000e+00,    1.00000000000000000e+00,    1.00000000000000000e+00,
1.00000000000000000e+00,    1.00000000000000000e+00,    1.00000000000000000e+00,    1.00000000000000000e+00,
1.91197923311809070e+01,    1.85905654197155705e+01,    1.80695925111338873e+01,    1.75579662602552702e+01,
1.70568083385728322e+01,    1.65671614161475240e+01,    1.60899082404807388e+01,    1.56257184247427574e+01,
1.51750215930154972e+01,    1.47380040222201831e+01,    1.43146248393862709e+01,    1.39046471323992797e+01,
1.35076789772767398e+01,    1.31232193615435282e+01,    1.27507042903028864e+01,    1.23895489911275938e+01,
1.20391830507053026e+01,    1.16990764456354785e+01,    1.13687556584967773e+01,    1.10478102595071022e+01,
1.07358913421406665e+01,    1.04308296719365288e+01,    1.01379956440614780e+01,    9.85576005404887390e+00,
9.57314677059753549e+00,    9.30260810550123018e+00,    9.03973641667549721e+00,    8.78433851000190025e+00,
8.53621893947110344e+00,    8.29518070666084029e+00,    8.06102694471652725e+00,    7.83356287396372686e+00,
7.61259752114822952e+00,    7.39794493262161623e+00,    7.18942482208175271e+00,    6.98686273862040164e+00,
6.79008991059115719e+00,    6.59894292655057235e+00,    6.41326295906569932e+00,    6.23289867836952549e+00,
6.05769841989273239e+00,    5.88751418086552203e+00,    5.72221071053157893e+00,    5.56164885057170455e+00,
5.40569561169266066e+00,    5.25422181430518798e+00,    5.10710198895244538e+00,    4.96421427583685926e+00,
4.82544032488911867e+00,    4.69066519770253354e+00,    4.55977727264556165e+00,    4.43266814822223232e+00,
4.30923256511662345e+00,    4.18936830251908443e+00,    4.07297610583192782e+00,    3.95995960108174883e+00,
3.85022521548192076e+00,    3.74368210035847726e+00,    3.64024205634682874e+00,    3.53981946080263299e+00,
3.44233119737805948e+00,    3.34769658771387313e+00,    3.25583732519652536e+00,    3.16667741072952635e+00,
3.08014309046975265e+00,    2.99616279548102415e+00,    2.91466708325909352e+00,    2.83558858108404488e+00,
2.75886193115778644e+00,    2.68442373748601160e+00,    2.61221251446565805e+00,    2.54216863714044239e+00,
2.47423429308858811e+00,    2.40835343590838491e+00,    2.34447174026865124e+00,    2.28253655849268089e+00,
2.22249687864555368e+00,    2.16430328409595996e+00,    2.10790791452464710e+00,    2.05326442835243883e+00,
2.00032796656173550e+00,    1.94905511788703856e+00,    1.89940388535245108e+00,    1.85133365413606721e+00,
1.80480516073806174e+00,    1.75978046341339733e+00,    1.71622291379318637e+00,    1.67409712956127299e+00,
1.63336896799585674e+00,    1.59400550018029818e+00,    1.55597498580359983e+00,    1.51924684876489779e+00,
1.48379165424854431e+00,    1.44958108839637001e+00,    1.41658794187810089e+00,    1.38478609818708631e+00,
1.35415052612648990e+00,    1.32465727373957343e+00,    1.29628345843891579e+00,    1.26952736232984065e+00,
1.24332872590546217e+00,    1.21818689522094714e+00,    1.19408279216504698e+00,    1.17100148707130702e+00,
1.14891718460744263e+00,    1.12781854058532982e+00,    1.10769010142068325e+00,    1.08851724427365859e+00,
1.07028614321168525e+00,    1.05298373089901931e+00,    1.03659765738543319e+00,    1.02111623697388110e+00,
1.00652839065919109e+00,    9.92823578077295377e-01,    9.79991720317290094e-01,    9.68023119404477606e-01,
9.56908339983436940e-01,    9.46638104698078520e-01,    9.37203144126711019e-01,    9.28594028115138803e-01,
9.20157470948898659e-01,    9.14165466537753435e-01,    9.07966864944758978e-01,    9.02550496040540384e-01,
8.97903087398177924e-01,    8.94009858454726913e-01,    8.90854243154523440e-01,    8.88417586996296693e-01,
8.54729720642691593e-01,    8.57429176155142136e-01,    8.60462847390129126e-01,    8.63812983811540924e-01,
8.67458756666176223e-01,    8.71376215312091196e-01,    8.75538319258762687e-01,    8.79915056599055223e-01,
8.84473663328699811e-01,    8.89178957368156664e-01,    8.93993791544929528e-01,    8.98879633484247265e-01,
9.03797258535943726e-01,    9.08707537234821117e-01,    9.13572289082734579e-01,    9.18355181060746428e-01,
9.23022595512976385e-01,    9.27544443498447557e-01,    9.31894861847424538e-01,    9.36052746371783151e-01,
9.40002092853443272e-01,    9.43732105789584441e-01,    9.47237089995169645e-01,    9.50516122636745009e-01,
9.53572535712811642e-01,    9.56413262211797788e-01,    9.59048086333592842e-01,    9.61488865033361617e-01,
9.63748770028207025e-01,    9.65841596814298597e-01,    9.67781175848021480e-01,    9.69580906841610801e-01,
9.71253422640136366e-01,    9.72810376113693365e-01,    9.74262335411021141e-01,    9.75618765644214347e-01,
9.76888073556904768e-01,    9.78077692445063818e-01,    9.79194187762278734e-01,    9.80243368314522856e-01,
9.81230392732215018e-01,    9.82159865219122352e-01,    9.83035900299253362e-01,    9.83862272392916015e-01,
9.84642321662578368e-01,    9.85379143247747891e-01,    9.86075556716340507e-01,    9.86734150375049968e-01,
9.87357307176090715e-01,    9.87947226532961742e-01,    9.88505942906989343e-01,    9.89035341810073798e-01,
9.89537173708517792e-01,    9.90013066196839930e-01,    9.90464534727174661e-01,    9.90892992119412286e-01,
9.91299757032528150e-01,    9.91686061543786246e-01,    9.92053057956504780e-01,    9.92401824936628429e-01,
9.92733373062173241e-01,    9.93048649856491439e-01,    9.93348544365702413e-01,    9.93633891331900720e-01,
9.93905475006512829e-01,    9.94164032642185336e-01,    9.94410257696601962e-01,    9.94644802777596038e-01,
9.94868282355685030e-01,    9.95081275267539533e-01,    9.95284327031407123e-01,    9.95477951992481014e-01,
9.95662635312169253e-01,    9.95838834810164331e-01,    9.96006982663687479e-01,    9.96167486966720195e-01,
9.96320733156286886e-01,    9.96467085323839985e-01,    9.96606887444713152e-01,    9.96740464570073481e-01,
9.96868124024178126e-01,    9.96990156627267199e-01,    9.97112189230356272e-01,    9.97234221833445345e-01,
9.97356254436534417e-01,    9.97478287039623490e-01,    9.97600319642712563e-01,    9.97722352245801636e-01,
9.97844384848890709e-01,    9.97966417451979781e-01,    9.98088450055068854e-01,    9.98210482658157927e-01,
9.98332515261247000e-01,    9.98454547864336073e-01,    9.98576580467425146e-01,    9.98698613070514218e-01,
9.98820645673603291e-01,    9.98942678276692364e-01,    9.99064710879781437e-01,    9.99186743482870510e-01,
9.99308776085959583e-01,    9.99430808689048655e-01,    9.99552841292137728e-01,    9.99674873895226801e-01,
9.99796906498315874e-01,    9.99918939101404947e-01,    1.00000000000000000e+00,    1.00000000000000000e+00,
1.00000000000000000e+00,    1.00000000000000000e+00,    1.00000000000000000e+00,    1.00000000000000000e+00,
1.00000000000000000e+00 };

const double Calculus::GGS[241 * 241] = {
8.00014908335353492e-01,    8.00020707540703313e-01,    8.00026700706648830e-01,    8.00032894400760863e-01,
8.00039295417528384e-01,    8.00045910786425396e-01,    8.00052747780268358e-01,    8.00059813923879481e-01,
8.00067117003061101e-01,    8.00074665073896907e-01,    8.00082466472385456e-01,    8.00090529824419749e-01,
8.00098864056122072e-01,    8.00107478404544992e-01,    8.00116382428748052e-01,    8.00125586021259938e-01,
8.00135099419936102e-01,    8.00144933220219068e-01,    8.00155098387810515e-01,    8.00165606271760699e-01,
8.00176468617979531e-01,    8.00187697583173319e-01,    8.00199305749207168e-01,    8.00211306137890710e-01,
8.00223712226180939e-01,    8.00236537961793393e-01,    8.00249797779202909e-01,    8.00263506616018083e-01,
8.00277679929696339e-01,    8.00292333714567761e-01,    8.00307484519121259e-01,    8.00323149463504802e-01,
8.00946041323978397e-01,    8.00983439414328702e-01,    8.00373409283183679e-01,    8.00391314040620694e-01,
8.00409827732839640e-01,    8.00428971281289758e-01,    8.00448766302323422e-01,    8.00469235124527168e-01,
8.00490400806262659e-01,    8.00512287153822388e-01,    8.00534918740876789e-01,    8.00558320930264022e-01,
8.00582519899688538e-01,    8.00607542673599903e-01,    8.00633417164444694e-01,    8.00660172227691036e-01,
8.00687837736563823e-01,    8.00716444684361317e-01,    8.00746025324589605e-01,    8.00776613362020440e-01,
8.00808244211136833e-01,    8.00840955342310368e-01,    8.00874786740372824e-01,    8.00909781504911988e-01,
8.00945986626450446e-01,    8.00983453977381465e-01,    8.01022241560771509e-01,    8.01062415063414468e-01,
8.01104049761259818e-01,    8.01147232824848787e-01,    8.01192066068943332e-01,    8.01238669183328978e-01,
8.01287183470056785e-01,    8.01337776095478516e-01,    8.01390644842784883e-01,    8.01446023322113010e-01,
8.01504186560653253e-01,    8.01565456854999581e-01,    8.01630209723130815e-01,    8.01698879745269211e-01,
8.01771966033335226e-01,    8.01850037020189421e-01,    8.01933734215165339e-01,    8.02023774534699641e-01,
8.02120950789553810e-01,    8.02226129896574935e-01,    8.02340248386431920e-01,    8.02464304802105399e-01,
8.02599348628337150e-01,    8.02746465461077086e-01,    8.02906758218452477e-01,    8.03081324309825595e-01,
8.03271228814600446e-01,    8.03477473873486892e-01,    8.03700964656376082e-01,    8.03942472435795086e-01,
8.04202595454984404e-01,    8.04481718426019454e-01,    8.04779971616922607e-01,    8.05097190578481947e-01,
8.05432877613679210e-01,    8.05786166098992340e-01,    8.06155788723529887e-01,    8.06540050617827076e-01,
8.06936808201239142e-01,    8.07343454390366255e-01,    8.07756910589039645e-01,    8.08173625633745063e-01,
8.08589581609464370e-01,    8.09000306193133678e-01,    8.09400890938557049e-01,    8.09786014699879209e-01,
8.10149971210890052e-01,    8.10486699702113067e-01,    8.10789817351381115e-01,    8.11052652327726054e-01,
8.11268276201140837e-01,    8.11429534547605358e-01,    8.11529074673079331e-01,    8.11559369503850769e-01,
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1.00000000000000000e+00 };

} // namespace WDSP