// Created on: 1995-03-14
// Created by: Modelistation
// Copyright (c) 1995-1999 Matra Datavision
// Copyright (c) 1999-2014 OPEN CASCADE SAS
//
// This file is part of Open CASCADE Technology software library.
//
// This library is free software; you can redistribute it and/or modify it under
// the terms of the GNU Lesser General Public License version 2.1 as published
// by the Free Software Foundation, with special exception defined in the file
// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
// distribution for complete text of the license and disclaimer of any warranty.
//
// Alternatively, this file may be used under the terms of Open CASCADE
// commercial license or contractual agreement.

#ifndef OCCT_DEBUG
#define No_Standard_OutOfRange
#define No_Standard_RangeError
#endif


#include <AppCont_ContMatrices.hxx>
#include <math_Matrix.hxx>
#include <Standard_DimensionError.hxx>

static const Standard_Real BBMatrix[] = {

0.3333333333333333333333333, 0.1666666666666666666666667,
0.1666666666666666666666667,0.3333333333333333333333333,


0.2,0.1,0.03333333333333333333333333,
0.1,0.1333333333333333333333333,0.1,
0.03333333333333333333333333,0.1,0.2,



0.1428571428571428571428571,0.0714285714285714285714286, 0.02857142857142857142857143,0.007142857142857142857142857,
0.0714285714285714285714286,0.0857142857142857142857143, 0.0642857142857142857142857,0.02857142857142857142857143,
0.02857142857142857142857143,0.0642857142857142857142857,0.0857142857142857142857143,0.0714285714285714285714286,
0.007142857142857142857142857,0.02857142857142857142857143,0.0714285714285714285714286,0.1428571428571428571428571,



0.1111111111111111111111111,0.05555555555555555555555556,
     0.02380952380952380952380952,0.00793650793650793650793651,
     0.001587301587301587301587302,
0.05555555555555555555555556,0.0634920634920634920634921,
     0.04761904761904761904761905,0.02539682539682539682539683,
     0.00793650793650793650793651,
0.02380952380952380952380952,0.04761904761904761904761905,
     0.05714285714285714285714286,0.04761904761904761904761905,
     0.02380952380952380952380952,
0.00793650793650793650793651,0.02539682539682539682539683,
     0.04761904761904761904761905,0.0634920634920634920634921,
     0.05555555555555555555555556,
0.001587301587301587301587302,0.00793650793650793650793651,
     0.02380952380952380952380952,0.05555555555555555555555556,
     0.1111111111111111111111111,



0.0909090909090909090909091,0.04545454545454545454545455,
     0.02020202020202020202020202,0.007575757575757575757575758,
     0.002164502164502164502164502,0.0003607503607503607503607504,
0.04545454545454545454545455,0.05050505050505050505050505,
     0.03787878787878787878787879,0.02164502164502164502164502,
     0.00901875901875901875901876,0.002164502164502164502164502,
0.02020202020202020202020202,0.03787878787878787878787879,
     0.04329004329004329004329004,0.03607503607503607503607504,
     0.02164502164502164502164502,0.007575757575757575757575758,
0.007575757575757575757575758,0.02164502164502164502164502,
     0.03607503607503607503607504,0.04329004329004329004329004,
     0.03787878787878787878787879,0.02020202020202020202020202,
0.002164502164502164502164502,0.00901875901875901875901876,
     0.02164502164502164502164502,0.03787878787878787878787879,
     0.05050505050505050505050505,0.04545454545454545454545455,
0.0003607503607503607503607504,0.002164502164502164502164502,
     0.007575757575757575757575758,0.02020202020202020202020202,
     0.04545454545454545454545455,0.0909090909090909090909091,




0.0769230769230769230769231,0.03846153846153846153846154,
     0.01748251748251748251748252,0.006993006993006993006993007,
     0.002331002331002331002331002,0.000582750582750582750582751,
     0.0000832500832500832500832501,
0.03846153846153846153846154,0.04195804195804195804195804,
     0.03146853146853146853146853,0.01864801864801864801864802,
     0.00874125874125874125874126,0.002997002997002997002997003,
     0.000582750582750582750582751,
0.01748251748251748251748252,0.03146853146853146853146853,
     0.03496503496503496503496503,0.02913752913752913752913753,
     0.01873126873126873126873127,0.00874125874125874125874126,
     0.002331002331002331002331002,
0.006993006993006993006993007,0.01864801864801864801864802,
     0.02913752913752913752913753,0.03330003330003330003330003,
     0.02913752913752913752913753,0.01864801864801864801864802,
     0.006993006993006993006993007,
0.002331002331002331002331002,0.00874125874125874125874126,
     0.01873126873126873126873127,0.02913752913752913752913753,
     0.03496503496503496503496503,0.03146853146853146853146853,
     0.01748251748251748251748252,
0.000582750582750582750582751,0.002997002997002997002997003,
     0.00874125874125874125874126,0.01864801864801864801864802,
     0.03146853146853146853146853,0.04195804195804195804195804,
     0.03846153846153846153846154,
0.0000832500832500832500832501,0.000582750582750582750582751,
     0.002331002331002331002331002,0.006993006993006993006993007,
     0.01748251748251748251748252,0.03846153846153846153846154,
     0.0769230769230769230769231,




0.0666666666666666666666667,0.03333333333333333333333333,
     0.01538461538461538461538462,0.006410256410256410256410256,
     0.002331002331002331002331002,0.000699300699300699300699301,
     0.0001554001554001554001554002,0.00001942501942501942501942502,
0.03333333333333333333333333,0.03589743589743589743589744,
     0.02692307692307692307692308,0.01631701631701631701631702,
     0.00815850815850815850815851,0.003263403263403263403263403,
     0.000951825951825951825951826,0.0001554001554001554001554002,
0.01538461538461538461538462,0.02692307692307692307692308,
     0.02937062937062937062937063,0.02447552447552447552447552,
     0.01631701631701631701631702,0.00856643356643356643356643,
     0.003263403263403263403263403,0.000699300699300699300699301,
0.006410256410256410256410256,0.01631701631701631701631702,
     0.02447552447552447552447552,0.02719502719502719502719503,
     0.02379564879564879564879565,0.01631701631701631701631702,
     0.00815850815850815850815851,0.002331002331002331002331002,
0.002331002331002331002331002,0.00815850815850815850815851,
     0.01631701631701631701631702,0.02379564879564879564879565,
     0.02719502719502719502719503,0.02447552447552447552447552,
     0.01631701631701631701631702,0.006410256410256410256410256,
0.000699300699300699300699301,0.003263403263403263403263403,
     0.00856643356643356643356643,0.01631701631701631701631702,
     0.02447552447552447552447552,0.02937062937062937062937063,
     0.02692307692307692307692308,0.01538461538461538461538462,
0.0001554001554001554001554002,0.000951825951825951825951826,
     0.003263403263403263403263403,0.00815850815850815850815851,
     0.01631701631701631701631702,0.02692307692307692307692308,
     0.03589743589743589743589744,0.03333333333333333333333333,
0.00001942501942501942501942502,0.0001554001554001554001554002,
     0.000699300699300699300699301,0.002331002331002331002331002,
     0.006410256410256410256410256,0.01538461538461538461538462,
     0.03333333333333333333333333,0.0666666666666666666666667,




0.05882352941176470588235294,0.02941176470588235294117647,
     0.01372549019607843137254902,0.005882352941176470588235294,
     0.002262443438914027149321267,0.000754147812971342383107089,
     0.0002056766762649115590292061,0.00004113533525298231180584122,
     4.570592805886923533982358e-6,
0.02941176470588235294117647,0.0313725490196078431372549,
     0.02352941176470588235294118,0.01447963800904977375565611,
     0.00754147812971342383107089,0.003290826820238584944467297,
     0.001151789387083504730563554,0.0002925179395767631061748709,
     0.00004113533525298231180584122,
0.01372549019607843137254902,0.02352941176470588235294118,
     0.02533936651583710407239819,0.02111613876319758672699849,
     0.01439736733854380913204443,0.00806252570958453311394488,
     0.003583344759815348050642168,0.001151789387083504730563554,
     0.0002056766762649115590292061,
0.005882352941176470588235294,0.01447963800904977375565611,
     0.02111613876319758672699849,0.02303578774167009461127108,
     0.0201563142739613327848622,0.01433337903926139220256867,
     0.00806252570958453311394488,0.003290826820238584944467297,
     0.000754147812971342383107089,
0.002262443438914027149321267,0.00754147812971342383107089,
     0.01439736733854380913204443,0.0201563142739613327848622,
     0.02239590474884592531651355,0.0201563142739613327848622,
     0.01439736733854380913204443,0.00754147812971342383107089,
     0.002262443438914027149321267,
0.000754147812971342383107089,0.003290826820238584944467297,
     0.00806252570958453311394488,0.01433337903926139220256867,
     0.0201563142739613327848622,0.02303578774167009461127108,
     0.02111613876319758672699849,0.01447963800904977375565611,
     0.005882352941176470588235294,
0.0002056766762649115590292061,0.001151789387083504730563554,
     0.003583344759815348050642168,0.00806252570958453311394488,
     0.01439736733854380913204443,0.02111613876319758672699849,
     0.02533936651583710407239819,0.02352941176470588235294118,
     0.01372549019607843137254902,
0.00004113533525298231180584122,0.0002925179395767631061748709,
     0.001151789387083504730563554,0.003290826820238584944467297,
     0.00754147812971342383107089,0.01447963800904977375565611,
     0.02352941176470588235294118,0.0313725490196078431372549,
     0.02941176470588235294117647,
4.570592805886923533982358e-6,0.00004113533525298231180584122,
     0.0002056766762649115590292061,0.000754147812971342383107089,
     0.002262443438914027149321267,0.005882352941176470588235294,
     0.01372549019607843137254902,0.02941176470588235294117647,
     0.05882352941176470588235294,





0.05263157894736842105263158,0.02631578947368421052631579,
     0.01238390092879256965944272,0.005417956656346749226006192,
     0.002167182662538699690402477,0.00077399380804953560371517,
     0.0002381519409383186472969755,0.00005953798523457966182424387,
     0.00001082508822446902942258979,1.082508822446902942258979e-6,
0.02631578947368421052631579,0.02786377708978328173374613,
     0.0208978328173374613003096,0.01300309597523219814241486,
     0.006965944272445820433436533,0.003215051202667301738509169,
     0.001250297689926172898309121,0.0003897031760808850592132326,
     0.0000876832146181991383229773,0.00001082508822446902942258979,
0.01238390092879256965944272,0.0208978328173374613003096,
     0.0222910216718266253869969,0.01857585139318885448916409,
     0.01286020481066920695403668,0.007501786139557037389854727,
     0.003637229643421593885990171,0.001402931433891186213167637,
     0.0003897031760808850592132326,0.00005953798523457966182424387,
0.005417956656346749226006192,0.01300309597523219814241486,
     0.01857585139318885448916409,0.02000476303881876637294594,
     0.0175041676589664205763277,0.0127303037519755786009656,
     0.007638182251185347160579359,0.003637229643421593885990171,
     0.001250297689926172898309121,0.0002381519409383186472969755,
0.002167182662538699690402477,0.006965944272445820433436533,
     0.01286020481066920695403668,0.0175041676589664205763277,
     0.0190954556279633679014484,0.01718591006516703111130356,
     0.0127303037519755786009656,0.007501786139557037389854727,
     0.003215051202667301738509169,0.00077399380804953560371517,
0.00077399380804953560371517,0.003215051202667301738509169,
     0.007501786139557037389854727,0.0127303037519755786009656,
     0.01718591006516703111130356,0.0190954556279633679014484,
     0.0175041676589664205763277,0.01286020481066920695403668,
     0.006965944272445820433436533,0.002167182662538699690402477,
0.0002381519409383186472969755,0.001250297689926172898309121,
     0.003637229643421593885990171,0.007638182251185347160579359,
     0.0127303037519755786009656,0.0175041676589664205763277,
     0.02000476303881876637294594,0.01857585139318885448916409,
     0.01300309597523219814241486,0.005417956656346749226006192,
0.00005953798523457966182424387,0.0003897031760808850592132326,
     0.001402931433891186213167637,0.003637229643421593885990171,
     0.007501786139557037389854727,0.01286020481066920695403668,
     0.01857585139318885448916409,0.0222910216718266253869969,
     0.0208978328173374613003096,0.01238390092879256965944272,
0.00001082508822446902942258979,0.0000876832146181991383229773,
     0.0003897031760808850592132326,0.001250297689926172898309121,
     0.003215051202667301738509169,0.006965944272445820433436533,
     0.01300309597523219814241486,0.0208978328173374613003096,
     0.02786377708978328173374613,0.02631578947368421052631579,
1.082508822446902942258979e-6,0.00001082508822446902942258979,
     0.00005953798523457966182424387,0.0002381519409383186472969755,
     0.00077399380804953560371517,0.002167182662538699690402477,
     0.005417956656346749226006192,0.01238390092879256965944272,
     0.02631578947368421052631579,0.05263157894736842105263158,




0.04761904761904761904761905,0.02380952380952380952380952,
     0.0112781954887218045112782,0.005012531328320802005012531,
     0.002063983488132094943240454,0.00077399380804953560371517,
     0.0002579979360165118679050568,0.0000737136960047176765443019,
     0.00001701085292416561766406968,2.835142154027602944011613e-6,
     2.577401958206911767283284e-7,
0.02380952380952380952380952,0.02506265664160401002506266,
     0.01879699248120300751879699,0.01179419136075482824708831,
     0.006449948400412796697626419,0.003095975232198142414860681,
     0.001289989680082559339525284,0.000453622744644416471041858,
     0.0001275813969312421324805226,0.00002577401958206911767283284,
     2.835142154027602944011613e-6,
0.0112781954887218045112782,0.01879699248120300751879699,
     0.01990269792127377266696152,0.01658558160106147722246793,
     0.01160990712074303405572755,0.006965944272445820433436533,
     0.003572279114074779709454632,0.001530976763174905589766271,
     0.000521923896536899632874865,0.0001275813969312421324805226,
     0.00001701085292416561766406968,
0.005012531328320802005012531,0.01179419136075482824708831,
     0.01658558160106147722246793,0.01769128704113224237063246,
     0.01547987616099071207430341,0.01143129316503929507025482,
     0.007144558228149559418909264,0.003711458819817952944887929,
     0.001530976763174905589766271,0.000453622744644416471041858,
     0.0000737136960047176765443019,
0.002063983488132094943240454,0.006449948400412796697626419,
     0.01160990712074303405572755,0.01547987616099071207430341,
     0.01667063586568230531078828,0.01500357227911407477970945,
     0.01136634263569248089371928,0.007144558228149559418909264,
     0.003572279114074779709454632,0.001289989680082559339525284,
     0.0002579979360165118679050568,
0.00077399380804953560371517,0.003095975232198142414860681,
     0.006965944272445820433436533,0.01143129316503929507025482,
     0.01500357227911407477970945,0.01636753339539717248695577,
     0.01500357227911407477970945,0.01143129316503929507025482,
     0.006965944272445820433436533,0.003095975232198142414860681,
     0.00077399380804953560371517,
0.0002579979360165118679050568,0.001289989680082559339525284,
     0.003572279114074779709454632,0.007144558228149559418909264,
     0.01136634263569248089371928,0.01500357227911407477970945,
     0.01667063586568230531078828,0.01547987616099071207430341,
     0.01160990712074303405572755,0.006449948400412796697626419,
     0.002063983488132094943240454,
0.0000737136960047176765443019,0.000453622744644416471041858,
     0.001530976763174905589766271,0.003711458819817952944887929,
     0.007144558228149559418909264,0.01143129316503929507025482,
     0.01547987616099071207430341,0.01769128704113224237063246,
     0.01658558160106147722246793,0.01179419136075482824708831,
     0.005012531328320802005012531,
0.00001701085292416561766406968,0.0001275813969312421324805226,
     0.000521923896536899632874865,0.001530976763174905589766271,
     0.003572279114074779709454632,0.006965944272445820433436533,
     0.01160990712074303405572755,0.01658558160106147722246793,
     0.01990269792127377266696152,0.01879699248120300751879699,
     0.0112781954887218045112782,
2.835142154027602944011613e-6,0.00002577401958206911767283284,
     0.0001275813969312421324805226,0.000453622744644416471041858,
     0.001289989680082559339525284,0.003095975232198142414860681,
     0.006449948400412796697626419,0.01179419136075482824708831,
     0.01879699248120300751879699,0.02506265664160401002506266,
     0.02380952380952380952380952,
2.577401958206911767283284e-7,2.835142154027602944011613e-6,
     0.00001701085292416561766406968,0.0000737136960047176765443019,
     0.0002579979360165118679050568,0.00077399380804953560371517,
     0.002063983488132094943240454,0.005012531328320802005012531,
     0.0112781954887218045112782,0.02380952380952380952380952,
     0.04761904761904761904761905,


0.04347826086956521739130435,0.02173913043478260869565217,
     0.01035196687370600414078675,0.004658385093167701863354037,
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     1.517882051160955517117262e-6,4.634961263366489168340211e-6,
     0.00001269576346052560076545362,0.00003161116861635919786549816,
     0.0000722540996945353094068529,0.0001527188925361769039735755,
     0.0003000792274395054955270256,0.00055014525030576007513288,
     0.00094310614338130298594208,0.001512899438340840206615421,
     0.002269349157511260309923131,0.00317518180441701547564875,
     0.004125022515140054293150513,0.004939171695759801851009167,
     0.005388187304465238382919091,0.00525989713054939937380197,
     0.004462943019860096438377429,0.003128911138923654568210263,
     0.001638953453721914297633947,0.000491686036116574289290184,
3.684072843857982303526563e-12,6.98703470386858712737796e-11,
     6.887219922384750168415422e-10,4.693512835995533448105325e-9,
     2.482146211343791727363393e-8,1.08420146511496822651233e-7,
     4.065755494181130849421237e-7,1.343467032859851932852235e-6,
     3.984601086095697209936742e-6,0.00001075209816882965913792454,
     0.00002666520345869755466205287,0.0000612406586611235705157195,
     0.0001309869643585143036030667,0.0002619739287170286072061334,
     0.0004912011163444286385115,0.00086451396476619440378024,
     0.001427991816801303256244147,0.002209833490253600514187775,
     0.003191981708144089631604564,0.004276339130527966970570707,
     0.00525989713054939937380197,0.0058443301450548881931133,
     0.005711504459940004370542543,0.004682724153491183707525563,
     0.002926702595931989817203477,0.00107702655530297225273088,
5.081479784631699729002156e-13,1.043518170058295480062943e-11,
     1.113086048062181845400472e-10,8.205442020971212321862456e-10,
     4.693512835995533448105325e-9,2.217684815007889554229766e-8,
     8.99930069858274022006282e-8,3.219879665531876533282216e-7,
     1.034961321063817457126427e-6,3.030136756670176666142371e-6,
     8.1654211548164760687626e-6,0.0000204135528870411901719065,
     0.00004763162340309611040111517,0.0001041941761942727415024394,
     0.0002143423053139324968050183,0.0004154158012512882199982973,
     0.000758932713824468863458428,0.001305810698786218485656412,
     0.002110401129351464219242687,0.003187816442757211741698164,
     0.004462943019860096438377429,0.005711504459940004370542543,
     0.006527433668502862137762907,0.006385532936578886873898496,
     0.00489557525137714660332218,0.002300920368147258903561425,
5.44444262639110685250231e-14,1.209876139198023745000513e-12,
     1.396010929843873551923669e-11,1.113086048062181845400472e-10,
     6.887219922384750168415422e-10,3.521465490749767912198494e-9,
     1.547310594420352567481156e-8,5.99977577428299975145755e-8,
     2.092421801281196163320819e-7,6.656593332730822882143424e-7,
     1.952600710934374712095404e-6,5.325274666184658305714739e-6,
     0.00001359054472099209671770949,0.00003261730733038103212250278,
     0.000073888185993312133991792,0.0001583859576677152410695849,
     0.0003217214765125465834225944,0.000619356853179234064342962,
     0.001128605821348826517247176,0.001940410008634824538424969,
     0.003128911138923654568210263,0.004682724153491183707525563,
     0.006385532936578886873898496,0.007662639523894664248678195,
     0.007503001200480192076830732,0.004801920768307322929171669,
4.032920463993412483335044e-15,9.6945203461380107772477e-14,
     1.209876139198023745000513e-12,1.043518170058295480062943e-11,
     6.98703470386858712737796e-11,3.868276486050881418702891e-10,
     1.842036421928991151763282e-9,7.74971037511554134563266e-9,
     2.936732352675363036239746e-8,1.016979536944986829216356e-7,
     3.254334518223957853492341e-7,9.70753194356578336979249e-7,
     2.718108944198419343541898e-6,7.183573638238679693646445e-6,
     0.0000179984042804221864851801,0.00004289619686833954445634592,
     0.0000974913565189535101280589,0.0002116135915029049719838455,
     0.0004389022638578769789294573,0.000869141983034348491169517,
     0.001638953453721914297633947,0.002926702595931989817203477,
     0.00489557525137714660332218,0.007503001200480192076830732,
     0.01000400160064025610244098,0.00980392156862745098039216,
1.551123255382081724359632e-16,4.032920463993412483335044e-15,
     5.44444262639110685250231e-14,5.081479784631699729002156e-13,
     3.684072843857982303526563e-12,2.210443706314789382115938e-11,
     1.142062581595974514093235e-10,5.220857515867312064426215e-10,
     2.153603725295266226575814e-9,8.13583629555989463373085e-9,
     2.847542703445963121805798e-8,9.31923066582315203500079e-8,
     2.873429455295471877458578e-7,8.399255330863687026417382e-7,
     2.339792556454884243073414e-6,6.23944681721302464819577e-6,
     0.00001598858246910837566100166,0.00003950120374720892810365116,
     0.0000943639867294435504698333,0.000218527127162921906351193,
     0.000491686036116574289290184,0.00107702655530297225273088,
     0.002300920368147258903561425,0.004801920768307322929171669,
     0.00980392156862745098039216,0.01960784313725490196078431




};

void MMatrix(const Standard_Integer classe,
	     math_Matrix&           M)
{
  if (classe > 24) Standard_DimensionError::Raise("MMatrix: classe > 24");
  Standard_Integer i, j, k = 0, Som = 0;
  for (i = 2; i < classe; i++) {
    Som += (i)*(i);
  }
  for (i = 1; i <= classe; i++) {
    for (j = 1; j <= classe; j++) {
      M(i+M.LowerRow()-1, j+M.LowerCol()-1) = BBMatrix[Som+k];
      k++;
    }
  }
}