sigmoidal.cpp

#include "stdafx.h"

/* automatically generated by generate_sigma */
static const double min_entry[2] = {-12.00000000000000000000, -3.10999999999999990000};
static const double max_entry[2] = {12.00000000000000000000, 3.10999999999999990000};
static const int num_entries = 2000;
static const double invinterval[2] = {83.29166666666667100000, 321.38263665594855000000};
static const double lowbound[2] = {0.0, -1.0};
static const double highbound[2] = {1.0, 1.0};
static const double interpolation[2000][2] = {
		{0.00000614417460221472, -0.99602940804652285000},
		{0.00000621838572024959, -0.99600467108040003000},
		{0.00000629349317599232, -0.99597978031226686000},
		{0.00000636950779546379, -0.99595473478973928000},
		{0.00000644644053543886, -0.99592953355458447000},
		{0.00000652430248502555, -0.99590417564268519000},
		{0.00000660310486726320, -0.99587866008400450000},
		{0.00000668285904073998, -0.99585298590255000000},
		{0.00000676357650122996, -0.99582715211633765000},
		{0.00000684526888334987, -0.99580115773735622000},
		{0.00000692794796223595, -0.99577500177153033000},
		{0.00000701162565524096, -0.99574868321868404000},
		{0.00000709631402365179, -0.99572220107250420000},
		{0.00000718202527442771, -0.99569555432050361000},
		{0.00000726877176195969, -0.99566874194398325000},
		{0.00000735656598985088, -0.99564176291799567000},
		{0.00000744542061271868, -0.99561461621130642000},
		{0.00000753534843801855, -0.99558730078635704000},
		{0.00000762636242788974, -0.99555981559922657000},
		{0.00000771847570102350, -0.99553215959959307000},
		{0.00000781170153455364, -0.99550433173069575000},
		{0.00000790605336597009, -0.99547633092929544000},
		{0.00000800154479505547, -0.99544815612563620000},
		{0.00000809818958584509, -0.99541980624340609000},
		{0.00000819600166861056, -0.99539128019969736000},
		{0.00000829499514186743, -0.99536257690496732000},
		{0.00000839518427440706, -0.99533369526299786000},
		{0.00000849658350735291, -0.99530463417085613000},
		{0.00000859920745624184, -0.99527539251885344000},
		{0.00000870307091313039, -0.99524596919050545000},
		{0.00000880818884872661, -0.99521636306249051000},
		{0.00000891457641454752, -0.99518657300460955000},
		{0.00000902224894510275, -0.99515659787974386000},
		{0.00000913122196010440, -0.99512643654381472000},
		{0.00000924151116670371, -0.99509608784574044000},
		{0.00000935313246175466, -0.99506555062739543000},
		{0.00000946610193410497, -0.99503482372356711000},
		{0.00000958043586691466, -0.99500390596191424000},
		{0.00000969615074000273, -0.99497279616292367000},
		{0.00000981326323222208, -0.99494149313986746000},
		{0.00000993179022386315, -0.99490999569876004000},
		{0.00001005174879908658, -0.99487830263831423000},
		{0.00001017315624838523, -0.99484641274989793000},
		{0.00001029603007107593, -0.99481432481749033000},
		{0.00001042038797782134, -0.99478203761763717000},
		{0.00001054624789318221, -0.99474954991940667000},
		{0.00001067362795820053, -0.99471686048434482000},
		{0.00001080254653301379, -0.99468396806643034000},
		{0.00001093302219950087, -0.99465087141202957000},
		{0.00001106507376395983, -0.99461756925985090000},
		{0.00001119872025981806, -0.99458406034089908000},
		{0.00001133398095037516, -0.99455034337842940000},
		{0.00001147087533157889, -0.99451641708790117000},
		{0.00001160942313483471, -0.99448228017693141000},
		{0.00001174964432984917, -0.99444793134524800000},
		{0.00001189155912750766, -0.99441336928464275000},
		{0.00001203518798278695, -0.99437859267892392000},
		{0.00001218055159770280, -0.99434360020386880000},
		{0.00001232767092429326, -0.99430839052717590000},
		{0.00001247656716763790, -0.99427296230841677000},
		{0.00001262726178891356, -0.99423731419898764000},
		{0.00001277977650848697, -0.99420144484206074000},
		{0.00001293413330904468, -0.99416535287253538000},
		{0.00001309035443876085, -0.99412903691698873000},
		{0.00001324846241450321, -0.99409249559362667000},
		{0.00001340848002507776, -0.99405572751223348000},
		{0.00001357043033451267, -0.99401873127412210000},
		{0.00001373433668538174, -0.99398150547208386000},
		{0.00001390022270216814, -0.99394404869033792000},
		{0.00001406811229466858, -0.99390635950448003000},
		{0.00001423802966143869, -0.99386843648143197000},
		{0.00001440999929328000, -0.99383027817938951000},
		{0.00001458404597676892, -0.99379188314777078000},
		{0.00001476019479782855, -0.99375324992716474000},
		{0.00001493847114534316, -0.99371437704927823000},
		{0.00001511890071481697, -0.99367526303688358000},
		{0.00001530150951207643, -0.99363590640376598000},
		{0.00001548632385701763, -0.99359630565466972000},
		{0.00001567337038739883, -0.99355645928524527000},
		{0.00001586267606267872, -0.99351636578199498000},
		{0.00001605426816790109, -0.99347602362221954000},
		{0.00001624817431762632, -0.99343543127396294000},
		{0.00001644442245991045, -0.99339458719595830000},
		{0.00001664304088033215, -0.99335348983757255000},
		{0.00001684405820606841, -0.99331213763875137000},
		{0.00001704750341001937, -0.99327052902996338000},
		{0.00001725340581498298, -0.99322866243214436000},
		{0.00001746179509788002, -0.99318653625664077000},
		{0.00001767270129403015, -0.99314414890515346000},
		{0.00001788615480147959, -0.99310149876968101000},
		{0.00001810218638538099, -0.99305858423246185000},
		{0.00001832082718242626, -0.99301540366591767000},
		{0.00001854210870533279, -0.99297195543259487000},
		{0.00001876606284738395, -0.99292823788510687000},
		{0.00001899272188702429, -0.99288424936607567000},
		{0.00001922211849251032, -0.99283998820807273000},
		{0.00001945428572661730, -0.99279545273356051000},
		{0.00001968925705140297, -0.99275064125483237000},
		{0.00001992706633302871, -0.99270555207395339000},
		{0.00002016774784663890, -0.99266018348270002000},
		{0.00002041133628129921, -0.99261453376249986000},
		{0.00002065786674499446, -0.99256860118437074000},
		{0.00002090737476968686, -0.99252238400886006000},
		{0.00002115989631643521, -0.99247588048598301000},
		{0.00002141546778057602, -0.99242908885516101000},
		{0.00002167412599696705, -0.99238200734515969000},
		{0.00002193590824529421, -0.99233463417402656000},
		{0.00002220085225544247, -0.99228696754902812000},
		{0.00002246899621293165, -0.99223900566658696000},
		{0.00002274037876441778, -0.99219074671221830000},
		{0.00002301503902326085, -0.99214218886046646000},
		{0.00002329301657515979, -0.99209333027484004000},
		{0.00002357435148385546, -0.99204416910774851000},
		{0.00002385908429690247, -0.99199470350043673000},
		{0.00002414725605151061, -0.99194493158291996000},
		{0.00002443890828045685, -0.99189485147391843000},
		{0.00002473408301806870, -0.99184446128079151000},
		{0.00002503282280627971, -0.99179375909947154000},
		{0.00002533517070075810, -0.99174274301439724000},
		{0.00002564117027710932, -0.99169141109844683000},
		{0.00002595086563715370, -0.99163976141287080000},
		{0.00002626430141527918, -0.99158779200722413000},
		{0.00002658152278487185, -0.99153550091929854000},
		{0.00002690257546482269, -0.99148288617505387000},
		{0.00002722750572611436, -0.99142994578854993000},
		{0.00002755636039848587, -0.99137667776187655000},
		{0.00002788918687717929, -0.99132308008508507000},
		{0.00002822603312976650, -0.99126915073611777000},
		{0.00002856694770305920, -0.99121488768073807000},
		{0.00002891197973010194, -0.99116028887246022000},
		{0.00002926117893724961, -0.99110535225247753000},
		{0.00002961459565133041, -0.99105007574959225000},
		{0.00002997228080689509, -0.99099445728014268000},
		{0.00003033428595355384, -0.99093849474793205000},
		{0.00003070066326340160, -0.99088218604415557000},
		{0.00003107146553853304, -0.99082552904732801000},
		{0.00003144674621864814, -0.99076852162320994000},
		{0.00003182655938874963, -0.99071116162473472000},
		{0.00003221095978693329, -0.99065344689193424000},
		{0.00003260000281227212, -0.99059537525186458000},
		{0.00003299374453279590, -0.99053694451853136000},
		{0.00003339224169356674, -0.99047815249281457000},
		{0.00003379555172485231, -0.99041899696239288000},
		{0.00003420373275039751, -0.99035947570166805000},
		{0.00003461684359579603, -0.99029958647168848000},
		{0.00003503494379696292, -0.99023932702007234000},
		{0.00003545809360870932, -0.99017869508093059000},
		{0.00003588635401342071, -0.99011768837478964000},
		{0.00003631978672983980, -0.99005630460851302000},
		{0.00003675845422195544, -0.98999454147522370000},
		{0.00003720241970799873, -0.98993239665422461000},
		{0.00003765174716954768, -0.98986986781092035000},
		{0.00003810650136074170, -0.98980695259673690000},
		{0.00003856674781760722, -0.98974364864904218000},
		{0.00003903255286749591, -0.98967995359106575000},
		{0.00003950398363863667, -0.98961586503181753000},
		{0.00003998110806980282, -0.98955138056600733000},
		{0.00004046399492009608, -0.98948649777396269000},
		{0.00004095271377884831, -0.98942121422154716000},
		{0.00004144733507564294, -0.98935552746007793000},
		{0.00004194793009045716, -0.98928943502624300000},
		{0.00004245457096392647, -0.98922293444201781000},
		{0.00004296733070773301, -0.98915602321458140000},
		{0.00004348628321511928, -0.98908869883623296000},
		{0.00004401150327152860, -0.98902095878430651000},
		{0.00004454306656537393, -0.98895280052108658000},
		{0.00004508104969893661, -0.98888422149372257000},
		{0.00004562553019939649, -0.98881521913414283000},
		{0.00004617658652999507, -0.98874579085896885000},
		{0.00004673429810133376, -0.98867593406942822000},
		{0.00004729874528280705, -0.98860564615126745000},
		{0.00004787000941417573, -0.98853492447466507000},
		{0.00004844817281727717, -0.98846376639414302000},
		{0.00004903331880787942, -0.98839216924847850000},
		{0.00004962553170767558, -0.98832013036061506000},
		{0.00005022489685642563, -0.98824764703757351000},
		{0.00005083150062424178, -0.98817471657036215000},
		{0.00005144543042402482, -0.98810133623388618000},
		{0.00005206677472404802, -0.98802750328685796000},
		{0.00005269562306069430, -0.98795321497170496000},
		{0.00005333206605134638, -0.98787846851447914000},
		{0.00005397619540743247, -0.98780326112476446000},
		{0.00005462810394762929, -0.98772758999558474000},
		{0.00005528788561122427, -0.98765145230331053000},
		{0.00005595563547163880, -0.98757484520756633000},
		{0.00005663144975011469, -0.98749776585113624000},
		{0.00005731542582956549, -0.98742021135987035000},
		{0.00005800766226859479, -0.98734217884258957000},
		{0.00005870825881568378, -0.98726366539099075000},
		{0.00005941731642354950, -0.98718466807955108000},
		{0.00006013493726367651, -0.98710518396543223000},
		{0.00006086122474102353, -0.98702521008838351000},
		{0.00006159628350890744, -0.98694474347064520000},
		{0.00006234021948406678, -0.98686378111685102000},
		{0.00006309313986190670, -0.98678232001393018000},
		{0.00006385515313192780, -0.98670035713100923000},
		{0.00006462636909334088, -0.98661788941931317000},
		{0.00006540689887086991, -0.98653491381206582000},
		{0.00006619685493074556, -0.98645142722439094000},
		{0.00006699635109689133, -0.98636742655321075000},
		{0.00006780550256730500, -0.98628290867714663000},
		{0.00006862442593063732, -0.98619787045641671000},
		{0.00006945323918297063, -0.98611230873273514000},
		{0.00007029206174479965, -0.98602622032920939000},
		{0.00007114101447821689, -0.98593960205023823000},
		{0.00007200021970430525, -0.98585245068140792000},
		{0.00007286980122074016, -0.98576476298938931000},
		{0.00007374988431960379, -0.98567653572183356000},
		{0.00007464059580541406, -0.98558776560726780000},
		{0.00007554206401337074, -0.98549844935498976000},
		{0.00007645441882782158, -0.98540858365496264000},
		{0.00007737779170095078, -0.98531816517770943000},
		{0.00007831231567169278, -0.98522719057420560000},
		{0.00007925812538487378, -0.98513565647577317000},
		{0.00008021535711058404, -0.98504355949397271000},
		{0.00008118414876378334, -0.98495089622049548000},
		{0.00008216463992414348, -0.98485766322705548000},
		{0.00008315697185612764, -0.98476385706528025000},
		{0.00008416128752931520, -0.98466947426660134000},
		{0.00008517773163896709, -0.98457451134214491000},
		{0.00008620645062684347, -0.98447896478262131000},
		{0.00008724759270226733, -0.98438283105821389000},
		{0.00008830130786344685, -0.98428610661846816000},
		{0.00008936774791904945, -0.98418878789217978000},
		{0.00009044706651004087, -0.98409087128728201000},
		{0.00009153941913178199, -0.98399235319073364000},
		{0.00009264496315639703, -0.98389322996840478000},
		{0.00009376385785540664, -0.98379349796496385000},
		{0.00009489626442263637, -0.98369315350376274000},
		{0.00009604234599739987, -0.98359219288672262000},
		{0.00009720226768796157, -0.98349061239421798000},
		{0.00009837619659528181, -0.98338840828496143000},
		{0.00009956430183704787, -0.98328557679588735000},
		{0.00010076675457199433, -0.98318211414203471000},
		{0.00010198372802451633, -0.98307801651643034000},
		{0.00010321539750957911, -0.98297328008997076000},
		{0.00010446194045792738, -0.98286790101130428000},
		{0.00010572353644159838, -0.98276187540671189000},
		{0.00010700036719974175, -0.98265519937998824000},
		{0.00010829261666475055, -0.98254786901232172000},
		{0.00010960047098870657, -0.98243988036217433000},
		{0.00011092411857014407, -0.98233122946516105000},
		{0.00011226375008113564, -0.98222191233392797000},
		{0.00011361955849470407, -0.98211192495803123000},
		{0.00011499173911256404, -0.98200126330381443000},
		{0.00011638048959319775, -0.98188992331428582000},
		{0.00011778600998026855, -0.98177790090899497000},
		{0.00011920850273137605, -0.98166519198390945000},
		{0.00012064817274715779, -0.98155179241128987000},
		{0.00012210522740074064, -0.98143769803956571000},
		{0.00012357987656754681, -0.98132290469320949000},
		{0.00012507233265545838, -0.98120740817261154000},
		{0.00012658281063534477, -0.98109120425395335000},
		{0.00012811152807195729, -0.98097428868908088000},
		{0.00012965870515519557, -0.98085665720537718000},
		{0.00013122456473175015, -0.98073830550563490000},
		{0.00013280933233712525, -0.98061922926792744000},
		{0.00013441323622804716, -0.98049942414548075000},
		{0.00013603650741526223, -0.98037888576654386000},
		{0.00013767937969672928, -0.98025760973425891000},
		{0.00013934208969121123, -0.98013559162653086000},
		{0.00014102487687227074, -0.98001282699589698000},
		{0.00014272798360267445, -0.97988931136939539000},
		{0.00014445165516921112, -0.97976504024843303000},
		{0.00014619613981792795, -0.97964000910865390000},
		{0.00014796168878979221, -0.97951421339980593000},
		{0.00014974855635677755, -0.97938764854560756000},
		{0.00015155699985839046, -0.97926030994361435000},
		{0.00015338727973862829, -0.97913219296508458000},
		{0.00015523965958338939, -0.97900329295484445000},
		{0.00015711440615832480, -0.97887360523115252000},
		{0.00015901178944715321, -0.97874312508556460000},
		{0.00016093208269042761, -0.97861184778279708000},
		{0.00016287556242477707, -0.97847976856059016000},
		{0.00016484250852261058, -0.97834688262957115000},
		{0.00016683320423230700, -0.97821318517311584000},
		{0.00016884793621888052, -0.97807867134721127000},
		{0.00017088699460513908, -0.97794333628031649000},
		{0.00017295067301333568, -0.97780717507322368000},
		{0.00017503926860732019, -0.97767018279891815000},
		{0.00017715308213519750, -0.97753235450243869000},
		{0.00017929241797249817, -0.97739368520073666000},
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