#include "Fast_trig.h"
#include <math.h>

/* Optimal interpolating polynomials calculated using Maple */

static double linear_optimized_sin_tab_256[256][3] = {
	{0.99999529381400581851, 0.},
	{0.99995869693927050686, 0.0061358942747469677554},
	{0.99988303756735220252, 0.012271563993882973009},
	{0.99977022101547397585, 0.018406769472927193569},
	{0.99961959568787744068, 0.024541282718278867316},
	{0.99943139207721339570, 0.030674871738195732799},
	{0.99920554118064375002, 0.036807305955220720864},
	{0.99894207722184878764, 0.042938354368500650596},
	{0.99864100147074074712, 0.049067786187176213261},
	{0.99830232817692546393, 0.055195370628180184035},
	{0.99792606911571291123, 0.061320876995879824436},
	{0.99751223878216567146, 0.067444074666894793063},
	{0.99706085264748232711, 0.073564733106785338600},
	{0.99657192774339271837, 0.079682621876041795293},
	{0.99604548246559363774, 0.085797510639659882827},
	{0.99548153663878689338, 0.091909169175509902728},
	{0.99488011149397252459, 0.098017367383105003310},
	{0.99424122967503222730, 0.10412187529223011757},
	{0.99356491523542547963, 0.11022246307161129643},
	{0.99285119363811651529, 0.11631890103756476971},
	{0.99210009175434534811, 0.12241095966264555898},
	{0.99131163786271200064, 0.12849840958428854952},
	{0.99048586164808356103, 0.13458102161344394316},
	{0.98962279420048868384, 0.14065856674320600498},
	{0.98872246801394492387, 0.14673081615743502664},
	{0.98778491698523745551, 0.15279754123937209441},
	{0.98681017641264319094, 0.15885851358024636348},
	{0.98579828299460247036, 0.16491350498787450355},
	{0.98474927482833776191, 0.17096228749525199402},
	{0.98366319140841960276, 0.17700463336913594366},
	{0.98254007362527991607, 0.18304031511861911093},
	{0.98137996376367267221, 0.18906910550369480224},
	{0.98018290550108206246, 0.19509077754381232483},
	{0.97894894390607812684, 0.20110510452642267237},
	{0.97767812543662011572, 0.20711186001551412087},
	{0.97637049793830736928, 0.21311081786013741407},
	{0.97502611064257808364, 0.21910175220292021641},
	{0.97364501416485577064, 0.22508443748857051373},
	{0.97222726050264369653, 0.23105864847236864081},
	{0.97077290303356720431, 0.23702416022864761657},
	{0.96928199651336413237, 0.24298074815926146703},
	{0.96775459707382330238, 0.24892818800204121770},
	{0.96619076222067119104, 0.25486625583923823665},
	{0.96459055083140691794, 0.26079472810595461039},
	{0.96295402315308553806, 0.26671338159856023539},
	{0.96128124080004979302, 0.27262199348309630803},
	{0.95957226675161035386, 0.27852034130366489680},
	{0.95782716534967472429, 0.28440820299080428058},
	{0.95604600229632480236, 0.29028535686984973815},
	{0.95422884465134321595, 0.29615158166927947369},
	{0.95237576082968860330, 0.30200665652904536415},
	{0.95048682059891980820, 0.30785036100888821510},
	{0.94856209507656917015, 0.31368247509663721164},
	{0.94660165672746501992, 0.31950277921649325205},
	{0.94460557936100340292, 0.32531105423729585243},
	{0.94257393812836919584, 0.33110708148077331084},
	{0.94050680951970671298, 0.33689064272977582056},
	{0.93840427136123992742, 0.34266152023649122216},
	{0.93626640281234229273, 0.34841949673064308575},
	{0.93409328436255651273, 0.35416435542767081363},
	{0.93188499782856411046, 0.35989588003689145667},
	{0.92964162635110509272, 0.36561385476964293603},
	{0.92736325439184775094, 0.37131806434740836435},
	{0.92504996773020870691, 0.37700829400992116016},
	{0.92270185346012341640, 0.38268432952325065035},
	{0.92031899998676706809, 0.38834595718786785674},
	{0.91790149702322623902, 0.39399296384669116229},
	{0.91544943558712119887, 0.39962513689311155491},
	{0.91296290799717919110, 0.40524226427899714590},
	{0.91044200786975864378, 0.41084413452267666239},
	{0.90788683011532461467, 0.41643053671690161254},
	{0.90529747093487541197, 0.42200126053678682439},
	{0.90267402781632073610, 0.42755609624772905870},
	{0.90001659953081126871, 0.43309483471330339834},
	{0.89732528612902002982, 0.43861726740313711638},
	{0.89460018893737549879, 0.44412318640076072679},
	{0.89184141055424676445, 0.44961238441143592188},
	{0.88904905484608071073, 0.45508465476996010220},
	{0.88622322694349154626, 0.46053979144844720441},
	{0.88336403323730267704, 0.46597758906408453480},
	{0.88047158137454115370, 0.47139784288686531610},
	{0.87754598025438481102, 0.47680034884729665656},
	{0.87458734002406230437, 0.48218490354408265084},
	{0.87159577207470609114, 0.48755130425178232405},
	{0.86857138903715866747, 0.49289934892844212973},
	{0.86551430477773201361, 0.49822883622320271555},
	{0.86242463439392065983, 0.50353956548387966903},
	{0.85930249421006828891, 0.50883133676451795901},
	{0.85614800177298819963, 0.51410395083291978788},
	{0.85296127584753774488, 0.51935720917814557110},
	{0.84974243641214688825, 0.52459091401798776197},
	{0.84649160465430109693, 0.52980486830641723987},
	{0.84320890296597868697, 0.53499887574100198197},
	{0.83989445493904285642, 0.54017274077029773872},
	{0.83654838536058849018, 0.54532626860121043535},
	{0.83317082020824403993, 0.55045926520633002154},
	{0.82976188664542847819, 0.55557153733123549405},
	{0.82632171301656373408, 0.56066289250177081607},
	{0.82285042884224255478, 0.56573313903129146070},
	{0.81934816481435212213, 0.57078208602788130470},
	{0.81581505279115362254, 0.57580954340153960107},
	{0.81225122579231781207, 0.58081532187133776039},
	{0.80865681799391692194, 0.58579923297254567060},
	{0.80503196472337300871, 0.59076108906372728764},
	{0.80137680245436293631, 0.59570070333380522951},
	{0.79769146880168024047, 0.60061788980909410761},
	{0.79397610251605398829, 0.60551246336030233103},
	{0.79023084347892490902, 0.61038423970950211964},
	{0.78645583269717893830, 0.61523303543706746390},
	{0.78265121229783835645, 0.62005866798857977025},
	{0.77881712552271083097, 0.62486095568170093162},
	{0.77495371672299642249, 0.62963971771301356483},
	{0.77106113135385282923, 0.63439477416482815714},
	{0.76713951596891911678, 0.63912594601195686542},
	{0.76318901821479802428, 0.64383305512845371341},
	{0.75920978682549716699, 0.64851592429432093288},
	{0.75520197161682928981, 0.65317437720218119633},
	{0.75116572348077176796, 0.65780823846391549018},
	{0.74710119437978564968, 0.66241733361726637814},
	{0.74300853734109429423, 0.66700148913240640691},
	{0.73888790645092204829, 0.67156053241847140573},
	{0.73473945684869292046, 0.67609429183005843524},
	{0.73056334472118975065, 0.68060259667368813949},
	{0.72635972729667377590, 0.68508527721423125935},
	{0.72212876283896514419, 0.68954216468129906393},
	{0.71787061064148434368, 0.69397309127559746039},
	{0.71358543102125489534, 0.69837789017524454255},
	{0.70927380128730201031, 0.70275639554205134046},
	{0.70493504671643825294, 0.70710844508015269756},
	{0.70056934086980283975, 0.71143387235363383058},
	{0.69617767495788149632, 0.71573251199153776865},
	{0.69175979834997909960, 0.72000420470489890825},
	{0.68731587737665296494, 0.72424878966690096121},
	{0.68284607934901601866, 0.72846610707131915677},
	{0.67835057255243765595, 0.73265599813853685549},
	{0.67382952624020791857, 0.73681830512152351209},
	{0.66928311062716513904, 0.74095287131177376211},
	{0.66471149688328752075, 0.74505954104520740835},
	{0.66011485712724862600, 0.74913815970803008573},
	{0.65549336441993724413, 0.75318857374255438309},
	{0.65084719275794173359, 0.75721063065298120342},
	{0.64617651706699913486, 0.76120417901114114449},
	{0.64148151319540934809, 0.76516906846219568381},
	{0.63676235790741450380, 0.76910514973029795338},
	{0.63201922887654392125, 0.77301227462421289087},
	{0.62725230467892479138, 0.77689029604289655590},
	{0.62246176478655887842, 0.78073906798103440124},
	{0.61764778956056550487, 0.78455844553453829035},
	{0.61281056024439106117, 0.78834828490600205438},
	{0.60795025895698529275, 0.79210844341011538322},
	{0.60306706868594461430, 0.79583877947903584687},
	{0.59816117328062274685, 0.79953915266771884462},
	{0.59323275744520887824, 0.80320942365920528161},
	{0.58828200673177365127, 0.80684945426986677367},
	{0.58330910753328326778, 0.81045910745460818264},
	{0.57831424707658184814, 0.81403824731202728700},
	{0.57329761341534248005, 0.81758673908953139266},
	{0.56825939542298710955, 0.82110444918841069193},
	{0.56319978278557551973, 0.82459124516886817959},
	{0.55811896599466382658, 0.82804699575500593613},
	{0.55301713634013250231, 0.83147157083976759142},
	{0.54789448590298447868, 0.83486484148983678155},
	{0.54275120754811339316, 0.83822667995049141548},
	{0.53758749491704230093, 0.84155695965041356816},
	{0.53240354242063322699, 0.84485555520645481895},
	{0.52719954523176767911, 0.84812234242835685643},
	{0.52197569927799850856, 0.85135719832342717138},
	{0.51673220123417334494, 0.85456000110116966211},
	{0.51146924851502990291, 0.85773063017786997788},
	{0.50618703926776342544, 0.86086896618113542750},
	{0.50088577236456655611, 0.86397489095438928252},
	{0.49556564739514191437, 0.86704828756131930551},
	{0.49022686465918765131, 0.87008904029028033616},
	{0.48486962515885628435, 0.87309703465865076930},
	{0.47949413059118707866, 0.87607215741714276087},
	{0.47410058334051226489, 0.87901429655406599968},
	{0.46868918647083738686, 0.88192334129954488414},
	{0.46326014371819605468, 0.88479918212968894556},
	{0.45781365948297939778, 0.88764171077071636066},
	{0.45234993882224050883, 0.89045082020303039826},
	{0.44686918744197415640, 0.89322640466524864668},
	{0.44137161168937207603, 0.89596835965818486992},
	{0.43585741854505411033, 0.89867658194878334302},
	{0.43032681561527550962, 0.90135096957400551821},
	{0.42478001112411067113, 0.90399142184466887576},
	{0.41921721390561362166, 0.90659783934923781469},
	{0.41363863339595553101, 0.90917012395756644100},
	{0.40804447962553956306, 0.91170817882459311210},
	{0.40243496321109334526, 0.91421190839398659874},
	{0.39681029534773937190, 0.91668121840174372679},
	{0.39117068780104362162, 0.91911601587973836374},
	{0.38551635289904271058, 0.92151620915922161607},
	{0.37984750352424985513, 0.92388170787427310585},
	{0.37416435310563997175, 0.92621242296520319656},
	{0.36846711561061419026, 0.92850826668190604006},
	{0.36275600553694410858, 0.93076915258716331850},
	{0.35703123790469606672, 0.93299499555989855673},
	{0.35129302824813576938, 0.93518571179838188268},
	{0.34554159260761353636, 0.93734121882338511519},
	{0.33977714752143050828, 0.93946143548128706029},
	{0.33399991001768610389, 0.94154628194712889918},
	{0.32821009760610703242, 0.94359567972761955280},
	{0.32240792826985817267, 0.94560955166409090990},
	{0.31659362045733563796, 0.94758782193540280727},
	{0.31076739307394230754, 0.94953041606079765281},
	{0.30492946547384617191, 0.95143726090270458395},
	{0.29908005745172176329, 0.95330828466949305590},
	{0.29321938923447501759, 0.95514341691817575588},
	{0.28734768147295185019, 0.95694258855706074186},
	{0.28146515523363078055, 0.95870573184835270567},
	{0.27557203199029990190, 0.96043278041070326271},
	{0.26966853361571852058, 0.96212366922171017220},
	{0.26375488237326376710, 0.96377833462036539390},
	{0.25783130090856251266, 0.96539671430945188901},
	{0.25189801224110888076, 0.96697874735788907529},
	{0.24595523975586769388, 0.96852437420302684769},
	{0.24000320719486415238, 0.97003353665288807855},
	{0.23404213864876007557, 0.97150617788835951259},
	{0.22807225854841701640, 0.97294224246533097445},
	{0.22209379165644656163, 0.97434167631678280808},
	{0.21610696305874815227, 0.97570442675482146948},
	{0.21011199815603472187, 0.97703044247266319609},
	{0.20410912265534649063, 0.97831967354656567825},
	{0.19809856256155322012, 0.97957207143770765983},
	{0.19208054416884526106, 0.98078758899401639742},
	{0.18605529405221369658, 0.98196618045194290928},
	{0.18002303905891995023, 0.98310780143818494698},
	{0.17398400629995501945, 0.98421240897135762534},
	{0.16793842314148917587, 0.98527996146361164681},
	{0.16188651719631084259, 0.98631041872219906189},
	{0.15582851631525985300, 0.98730374195098649915},
	{0.14976464857864073809, 0.98825989375191583038},
	{0.14369514228766040542, 0.98917883812641214837},
	{0.13762022595575840281, 0.99006054047673920690},
	{0.13154012830022650310, 0.99090496760730166389},
	{0.12545507823292863658, 0.99171208772589590303},
	{0.11936530485368954660, 0.99248187044490391355},
	{0.11327103743564789380, 0.99321428678244660333},
	{0.10717250543468919527, 0.99390930916344723981},
	{0.10106993842661014609, 0.99456691142075277060},
	{0.094963566261071151142, 0.99518706879586958931},
	{0.088853618565139210533, 0.99576975794064394220},
	{0.082740326198096565889, 0.99631495691589611214},
	{0.076623916852265138417, 0.99682264519898119667},
	{0.070504628216224620632, 0.99729280366435688283},
	{0.064382668449567293206, 0.99772541464491971665},
	{0.058258334726559595603, 0.99812046175081750566},
	{0.052131657564140172855, 0.99847793041563651886},
	{0.046003467826804433522, 0.99879780626021261562},
	{0.039872195675035461869, 0.99908008000350234847},
	{0.033743474229125938724, 0.99932473273204763389},
	{0.027601331971081156529, 0.99953178009678360764},
	{0.021494650480328422320, 0.99970113974863837649},
	{0.015278083759910441634, 0.99983302927215493917},
	{0.0093923385484412789795, 0.99992677442000858012},
	{0.0025415755803579120809, 0.99998440508755508666}
};

/* Reasonably optimal interpolating polynomials calculated using Maple */

static double linear_chebyshev_sin_tab_256[256][3] = {
	{0.99999627804475156555, 0.0},
	{0.99995822899242112764, 0.0061359003139111870445},
	{0.99988313171820388654, 0.012271567161761285500},
	{0.99977018952661983559, 0.018406773218507896646},
	{0.99961960655247250328, 0.024541286270646381258},
	{0.99943138846512575649, 0.030674875357227567118},
	{0.99920554235088420287, 0.036807309552089063014},
	{0.99894207671272639364, 0.042938357972549498234},
	{0.99864100146998469564, 0.049067789788101125016},
	{0.99830232795797182868, 0.055195374229100456715},
	{0.99792606892755410149, 0.061320880595456614435},
	{0.99751223854467134657, 0.067444078265317055065},
	{0.99706085238980358027, 0.073564736703750353675},
	{0.99657192745738441250, 0.079682625471425713380},
	{0.99604548215516120457, 0.085797514233288875930},
	{0.99548153630350203623, 0.091909172767234106275},
	{0.99488011113464948249, 0.098017370972771924740},
	{0.99424122929192121879, 0.10412187887969226042},
	{0.99356491482885753255, 0.11022246665672269958},
	{0.99285119320831569616, 0.11631890462018150318},
	{0.99210009130151133396, 0.12241096324262506765},
	{0.99131163738700670579, 0.12849841316148950347},
	{0.99048586114964606173, 0.13458102518772600598},
	{0.98962279367943800616, 0.14065857031442969361},
	{0.98872246747038498149, 0.14673081972546158836},
	{0.98778491641925989740, 0.15279754480406341410},
	{0.98681017582432992036, 0.15885851714146488837},
	{0.98579828238402752442, 0.16491350854548318342},
	{0.98474927419556881053, 0.17096229104911423294},
	{0.98366319075351917191, 0.17700463691911556092},
	{0.98254007294830634828, 0.18304031866458030948},
	{0.98137996306468091903, 0.18906910904550214300},
	{0.98018290478012429673, 0.19509078108133070590},
	{0.97894894316320432470, 0.20110510805951731200},
	{0.97767812467187843501, 0.20711186354405054394},
	{0.97637049715174456163, 0.21311082138398144096},
	{0.97502610983423976105, 0.21910175572193795436},
	{0.97364501333478668472, 0.22508444100262834984},
	{0.97222725965088794491, 0.23105865198133323680},
	{0.97077290216016841352, 0.23702416373238590472},
	{0.96928199561836561597, 0.24298075165764064732},
	{0.96775459615726818588, 0.24892819149492875587},
	{0.96619076128260254699, 0.25486625932650186306},
	{0.96459054987186783990, 0.26079473158746231969},
	{0.96295402217211924247, 0.26671338507418028665},
	{0.96128123979769967794, 0.27262199695269722549},
	{0.95957226572792008423, 0.27852034476711547098},
	{0.95782716430468827175, 0.28440820644797356994},
	{0.95604600123008649155, 0.29028536032060707094},
	{0.95422884356389778069, 0.29615158511349445014},
	{0.95237575972108121086, 0.30200665996658785898},
	{0.95048681946919610496, 0.30785036443962838016},
	{0.94856209392577530059, 0.31368247852044547888},
	{0.94660165555564765245, 0.31950278263324033654},
	{0.94460557816820975707, 0.32531105764685275559},
	{0.94257393691464706065, 0.33110708488301132386},
	{0.94050680828510446964, 0.33689064612456652782},
	{0.93840427010580654184, 0.34266152362370650494},
	{0.93626640153612736715, 0.34841950011015512576},
	{0.93409328306561026696, 0.35416435879935209694},
	{0.93188499651093740939, 0.35989588340061477748},
	{0.92964162501284943830, 0.36561385812528140066},
	{0.92736325303301530823, 0.37131806769483539513},
	{0.92504996635085231389, 0.37700829734901049950},
	{0.92270185206029656606, 0.38268433285387636486},
	{0.92031899856652394505, 0.38834596050990434126},
	{0.91790149558262169162, 0.39399296716001314415},
	{0.91544943412621077626, 0.39962514019759409797},
	{0.91296290651601912372, 0.40524226757451565488},
	{0.91044200636840586304, 0.41084413780910688702},
	{0.90788682859383673300, 0.41643053999411965188},
	{0.90529746939331075706, 0.42200126380466913101},
	{0.90267402625473832000, 0.42755609950615244306},
	{0.90001659794927081755, 0.43309483796214503300},
	{0.89732528452758196030, 0.43861727064227454037},
	{0.89460018731610094385, 0.44412318963007184984},
	{0.89184140891319754384, 0.44961238763079902885},
	{0.88904905318531936497, 0.45508465797925385727},
	{0.88622322526308131515, 0.46053979464755065548},
	{0.88336403153730750274, 0.46597759225287711782},
	{0.88047157965502568040, 0.47139784606522685938},
	{0.87754597851541439780, 0.47680035201510738504},
	{0.87458733826570299674, 0.48218490670122319052},
	{0.87159577029702465941, 0.48755130739813370614},
	{0.86857138724022255798, 0.49289935206388579518},
	{0.86551430296160939734, 0.49822883934762051914},
	{0.86242463255868038654, 0.50353956859715388380},
	{0.85930249235577992321, 0.50883133986653128050},
	{0.85614799989972199686, 0.51410395392355533845},
	{0.85296127395536464767, 0.51935721225728690420},
	{0.84974243450113854114, 0.52459091708551886635},
	{0.84649160272452983675, 0.52980487136222254390},
	{0.84320890101751753987, 0.53499887878496635785},
	{0.83989445297196553551, 0.54017274380230650675},
	{0.83654838337496938239, 0.54532627162114936810},
	{0.83317081820415824009, 0.55045926821408534805},
	{0.82976188462295176010, 0.55557154032669390410},
	{0.82632171097577253139, 0.56066289548481946440},
	{0.82285042678321398872, 0.56573314200181797105},
	{0.81934816273716399354, 0.57078208898577377400},
	{0.81581505069588440410, 0.57580954634668660365},
	{0.81225122367904664979, 0.58081532480362835205},
	{0.80865681586272361718, 0.58579923589186939280},
	{0.80503196257433803359, 0.59076109196997417150},
	{0.80137680028756744767, 0.59570070622686579990},
	{0.79769146661720601454, 0.60061789268885938740},
	{0.79397610031398349168, 0.60551246622666384485},
	{0.79023084125934124901, 0.61038424256235189810},
	{0.78645583046016587947, 0.61523303827629804760},
	{0.78265121004348031120, 0.62005867081408421375},
	{0.77881712325109285763, 0.62486095849337280740},
	{0.77495371443420422113, 0.62963972051074696730},
	{0.77106112904797274085, 0.63439477694851770655},
	{0.76713951364603811849, 0.63912594878149771180},
	{0.76318901587500373935, 0.64383305788374154050},
	{0.75920978446887782773, 0.64851592703525196205},
	{0.75520196924347378455, 0.65317437992865219035},
	{0.75116572109076958755, 0.65780824117582375720},
	{0.74710119197322690697, 0.66241733631450977545},
	{0.74300853491806975215, 0.66700149181488334470},
	{0.73888790401152303208, 0.67156053508608085115},
	{0.73473945439301142307, 0.67609429448269991575},
	{0.73056334224931833033, 0.68060259931126174705},
	{0.72635972480870562503, 0.68508527983663765385},
	{0.72212876033499405134, 0.68954216728843947705},
	{0.71787060812160468196, 0.69397309386737369930},
	{0.71358542848556164725, 0.69837789275155899350},
	{0.70927338276145624713, 0.70275639810280697250},
	{0.70493463329537281041, 0.70710844507286590305},
	{0.70056934343877647915, 0.71143386980962714930},
	{0.69617767754236305727, 0.71573250946329411220},
	{0.69175980094987139038, 0.72000420219251343205},
	{0.68731587999185818247, 0.72424878717046822430},
	{0.68284608197943578152, 0.72846610459093311810},
	{0.67835057519797301415, 0.73265599567429087035},
	{0.67382952890075935969, 0.73681830267351032860},
	{0.66928311330263255463, 0.74095286888008551780},
	{0.66471149957357027183, 0.74505953862993562650},
	{0.66011485983224549156, 0.74913815730926567210},
	{0.65549336713954645596, 0.75318857136038762235},
	{0.65084719549206097069, 0.75721062828750175580},
	{0.64617651981552553723, 0.76120417666243804240},
	{0.64148151595823947406, 0.76516906613035732850},
	{0.63676236068444442127, 0.76910514741541211140},
	{0.63201923166766912741, 0.77301227232636669105},
	{0.62725230748404026983, 0.77689029376217648585},
	{0.62246176760555906964, 0.78073906571752630420},
	{0.61764779239334433917, 0.78455844328832736185},
	{0.61281056309084193326, 0.78834828267717283910},
	{0.60795026181700109930, 0.79210844119875177175},
	{0.60306707155941772861, 0.79583877728522107260},
	{0.59816117616744503295, 0.79953915049153548055},
	{0.59323276034527168922, 0.80320942150073523725},
	{0.58828200964496786598, 0.80684945212919129185},
	{0.58330911045949924873, 0.81045910533180783665},
	{0.57831425001570947362, 0.81403824520718197740},
	{0.57329761636727112676, 0.81758673700272034430},
	{0.56825939838760569149, 0.82110444711971245090},
	{0.56319978576277247145, 0.82459124311836061035},
	{0.55811896898432708624, 0.82804699372276621860},
	{0.55301713934214956085, 0.83147156882587221790},
	{0.54789448891724234413, 0.83486483949436155400},
	{0.54275121057449862608, 0.83822667797351144255},
	{0.53758749795544098936, 0.84155695769200326245},
	{0.53240354547093101537, 0.84485555326668789410},
	{0.52719954829384976374, 0.84812234050730632440},
	{0.52197570235174964566, 0.85135719642116533970},
	{0.51673220431947783255, 0.85455999921776813120},
	{0.51146925161177162478, 0.85773062831339963820},
	{0.50618704237582580835, 0.86086896433566645705},
	{0.50088577548383262794, 0.86397488912799114400},
	{0.49556565052549426309, 0.86704828575406074390},
	{0.49022686780050845002, 0.87008903850222937600},
	{0.48486962831102730162, 0.87309703288987471215},
	{0.47949413375408964657, 0.87607215566770818285},
	{0.47410058651402734131, 0.87901429482403874875},
	{0.46868918965484552240, 0.88192333958899007785},
	{0.46326014691257740148, 0.88479918043867096850},
	{0.45781366268761370528, 0.88764170909929886205},
	{0.45234994203700715351, 0.89045081855127628950},
	{0.44686919066675212735, 0.89322640303322009900},
	{0.44137161492403998453, 0.89596835804594331205},
	{0.43585742178949020620, 0.89867658035638945885},
	{0.43032681886935766101, 0.90135096800151924460},
	{0.42478001438771637804, 0.90399142029214940015},
	{0.41921721717862003851, 0.90659783781674357290},
	{0.41363863667823945118, 0.90917012244515511505},
	{0.40804448291697743068, 0.91170817733232162805},
	{0.40243496651156127030, 0.91421190692191112450},
	{0.39681029865711309523, 0.91668121694991967010},
	{0.39117069111919857772, 0.91911601444822036990},
	{0.38551635622585399237, 0.92151620774806356605},
	{0.37984750685959222223, 0.92388170648352811420},
	{0.37416435644938787009, 0.92621242159492360935},
	{0.36846711896264174999, 0.92850826533214343300},
	{0.36275600889712514602, 0.93076915125796849495},
	{0.35703124127290408364, 0.93299499425132154580},
	{0.35129303162424397302, 0.93518571051047193730},
	{0.34554159599149484173, 0.93734121755619071030},
	{0.33977715091295752056, 0.93946143423485589105},
	{0.33399991341673114883, 0.94154628072150787905},
	{0.32821010101254215695, 0.94359567852285481185},
	{0.32240793168355513630, 0.94560955048022779310},
	{0.31659362387816593334, 0.94758782077248587270},
	{0.31076739650177716319, 0.94953041491887067005},
	{0.30492946890855653076, 0.95143725978181053245},
	{0.29908006089317832895, 0.95330828356967412320},
	{0.29321939268254824125, 0.95514341583947333620},
	{0.28734768492751190922, 0.95694258749951543450},
	{0.28146515869454764484, 0.95870573081200431335},
	{0.27557203545744326181, 0.96043277939559079030},
	{0.26966853708895786610, 0.96212366822787182500},
	{0.26375488585246833924, 0.96377833364783857640},
	{0.25783130439360133173, 0.96539671335827320340},
	{0.25189801573185074204, 0.96697874642809432005},
	{0.24595524325218118550, 0.96852437329465101625},
	{0.24000321069661765804, 0.97003353576596535800},
	{0.23404214215582175268, 0.97150617702292328245},
	{0.22807226206065483852, 0.97294224162141380525},
	{0.22209379517372830889, 0.97434167549441646025},
	{0.21610696658094140695, 0.97570442595403689215},
	{0.21011200168300688355, 0.97703044169349052590},
	{0.20410912618696477989, 0.97831967278903423820},
	{0.19809856609768468208, 0.97957207070184595820},
	{0.19208054770935676395, 0.98078758827985212670},
	{0.18605529759697195280, 0.98196617975950294505},
	{0.18002304260779150564, 0.98310780076749534700},
	{0.17398400985280629241, 0.98421240832244362850},
	{0.16793842669818629830, 0.98527996083649767235},
	{0.16188652075672029660, 0.98631041811690870765},
	{0.15582851987924642403, 0.98730374136754254370},
	{0.14976465214607374137, 0.98825989319034022265},
	{0.14369514585839509094, 0.98917883758672603540},
	{0.13762022952969168359, 0.99006053995896284755},
	{0.13154013187712976177, 0.99090496711145468450},
	{0.12545508181294944109, 0.99171208725199652715},
	{0.11936530843584636651, 0.99248186999297127020},
	{0.11327104102234622443, 0.99321428635249379895},
	{0.10717250901817263656, 0.99390930875550214075},
	{0.10106994202960867530, 0.99456691103479565055},
	{0.094963569814852257795, 0.99518706843202019135},
	{0.088853622275365935212, 0.99576975759860027200},
	{0.082740329447221209776, 0.99631495659661810800},
	{0.076623921492437829911, 0.99682264489963957165},
	{0.070504628690318266280, 0.99729280339348700085},
	{0.064382681428777889810, 0.99772541437695883685},
	{0.058258310195670968491, 0.99812046156249606465},
	{0.052131745570112901035, 0.99847793007679543040},
	{0.046003218213799109153, 0.99879780646136941270},
	{0.039872958862320679757, 0.99908007867305292725},
	{0.033741198316477384127, 0.99932473608445674500},
	{0.027608167433588066998, 0.99953176948436760760},
	{0.021474097118799068817, 0.99970117107809502410},
	{0.015339218316390772310, 0.99983293448776473680},
	{0.0092752035500397918016, 0.99992705475255884470},
	{0.0026130234762092138839, 0.99998396668875680365}
};

static double quadratic_sin_tab_64[64][3] = {
	{-0.00613569214025799899, 1.0000501967579583680,   0.0},
	{-0.0184033805092571107,  0.99974898899734996865,  0.024541228522912288032},
	{-0.0306599833699846999,  0.99884556982879211305,  0.049067674327418014256},
	{-0.04289811780318069,    0.99734048343821090539,  0.073564563599667423530},
	{-0.0551104120142798,     0.99523463643336932392,  0.098017140329560601995},
	{-0.0672895097738899989,  0.99252929729776023782,  0.12241067519921619850},
	{-0.07942807484892,       0.98922609562651962720,  0.14673047445536175166},
	{-0.0915187954216798999,  0.98532702114482009972,  0.17096188876030122637},
	{-0.10355438849417899,    0.98083442250933318444,  0.19509032201612826785},
	{-0.115527604275199899,   0.97575100589348805121,  0.21910124015686979723},
	{-0.127431230547258899,   0.97007983335737278333,  0.24298017990326388995},
	{-0.1392580970110019889,  0.96382432100326450892,  0.26671275747489838632},
	{-0.151001079604298109,   0.95698823691789646467,  0.29028467725446236764},
	{-0.1626531047935398,     0.94957569890270423414,  0.31368174039889147666},
	{-0.1742071538344389,     0.94159117199341523803,  0.33688985339222005069},
	{-0.185656266999890898,   0.93303946577047903965,  0.35989503653498814878},
	{-0.19699354777223899,    0.92392573146195554502,  0.38268343236508977173},
	{-0.208212166997470009,   0.91425545884060763229,  0.40524131400498987091},
	{-0.2193053669988699,     0.90403447291706801048,  0.42755509343028209432},
	{-0.230266465647530897,   0.89326893043106904359,  0.44961132965460660005},
	{-0.24108886038751,       0.88196531614285525192,  0.47139673682599764857},
	{-0.251766032212882098,   0.87013043892700426937,  0.49289819222978403688},
	{-0.26229154959458891,    0.85777142767101646407,  0.51410274419322172660},
	{-0.272659072354531009,   0.84489572698113916820,  0.53499761988709721067},
	{-0.282862355484669009,   0.83151109269801461780,  0.55557023301960222475},
	{-0.292895252908766698,   0.81762558722485115731,  0.57580819141784530075},
	{-0.3027517211845699,     0.80324757467093332675,  0.59569930449243334347},
	{-0.312425823144148999,   0.78838571581339515283,  0.61523159058062684549},
	{-0.3219117314702200001,  0.77304896288029168209,  0.63439328416364549822},
	{-0.3312037322063089,     0.75724655415811170348,  0.65317284295377676409},
	{-0.340296228198617996,   0.74098800842697922391,  0.67155895484701840063},
	{-0.349183742467557,      0.72428311922689662230,  0.68954054473706692462},
	{-0.357860921506859999,   0.70714194895848208979,  0.70710678118654752440},
	{-0.3663225385083219958,  0.68957482282175537533,  0.72424708295146692095},
	{-0.374563496510269899,   0.67159232259662429431,  0.74095112535495909118},
	{-0.382578831467750989,   0.65320528026881543148,  0.75720884650648454758},
	{-0.3903637152427099,     0.63442477150509151621,  0.77301045336273696082},
	{-0.397913458512230899,   0.61526210898168274224,  0.78834642762660626201},
	{-0.4052235135933000981,  0.59572883556995580835,  0.80320753148064490981},
	{-0.412289477182054009,   0.57583671738341723145,  0.81758481315158369651},
	{-0.419107093006250989,   0.55559773669024864020,  0.83146961230254523708},
	{-0.425672254389049697,   0.53502408469563546692,  0.84485356524970707326},
	{-0.4319810067227131,     0.51412815419824069014,  0.85772861000027206992},
	{-0.4380295498507408999,  0.49292253212524692206,  0.87008699110871141868},
	{-0.443814240356910998,   0.47141999195046137320,  0.88192126434835502970},
	{-0.4493315937599790999,  0.44963348600005389130,  0.89322430119551532034},
	{-0.454578286612550897,   0.42757613765055879160,  0.90398929312344333160},
	{-0.459551158503047999,   0.40526123342384466565,  0.91420975570353065466},
	{-0.4642472139593869,     0.38270221498380956685,  0.92387953251128675612},
	{-0.4686636242533579,     0.35991267103962574973,  0.93299279883473888771},
	{-0.472797729104539,      0.33690632916040922728,  0.94154406518302077842},
	{-0.476647038282758899,   0.31369704750624567760,  0.94952818059303666721},
	{-0.480209233108090989,   0.29029880648055232013,  0.95694033573220886493},
	{-0.4834821678475810099,  0.26672570030880667974,  0.96377606579543986669},
	{-0.48646387100772389,    0.24299192854871137996,  0.97003125319454399261},
	{-0.489152546522027899,   0.21911178753691178684,  0.97570213003852854447},
	{-0.491546574832897098,   0.19509966177741736871,  0.98078528040323044912},
	{-0.4936445138671998,     0.17097001527691453668,  0.98527764238894124477},
	{-0.495445099904899,      0.14673738283218935729,  0.98917650996478097345},
	{-0.496947248340308,      0.12241636127491039028,  0.99247953459870999816},
	{-0.49815005433536811,    0.098021600679041920432, 0.99518472667219688624},
	{-0.49905279336472899,    0.073567795536188175123, 0.99729045667869021614},
	{-0.4996549216521492979,  0.049069675904180402189, 0.99879545620517239272},
	{-0.49995607649807098,    0.024541998534241407421, 0.99969881869620422012}
};

static double quadratic_sin_tab_256[256][3] = {
	{-0.001533977178281699, 1.0000031374524076137,    0.0},
	{-0.00460187378148,     0.99998431263165095557,   0.0061358846491544753597},
	{-0.007669597126718998, 0.99992783896671705823,   0.012271538285719926080},
	{-0.010737031715969987, 0.99983371858380761856,   0.018406729905804820928},
	{-0.0138040620620501,   0.99970195502650182992,   0.024541228522912288032},
	{-0.0168705726929901,   0.99953255325562308859,   0.030674803176636625935},
	{-0.019936448156399988, 0.99932551964905233514,   0.036807222941358832325},
	{-0.023001573023801,    0.99908086200148783823,   0.042938256934940823078},
	{-0.02606583189499,     0.99879858952415184415,   0.049067674327418014256},
	{-0.029129109402328999, 0.99847871284444343965,   0.055195244349689939811},
	{-0.032191290215169,    0.99812124400553893004,   0.061320736302208577783},
	{-0.035252259044129,    0.99772619646593803258,   0.067443919563664057898},
	{-0.038311900645459,    0.99729358509895730860,   0.073564563599667423530},
	{-0.04137009982539,     0.99682342619217026102,   0.079682437971430121148},
	{-0.044426741444429999, 0.99631573744679386478,   0.085797312344439890462},
	{-0.047481710421778986, 0.99577053797702261570,   0.091908956497132728626},
	{-0.050534891739601,    0.99518784830930852261,   0.098017140329560601995},
	{-0.05358617044719999,  0.99456769038158734603,   0.10412163387205457912},
	{-0.05663543166588999,  0.99391008754245597671,   0.11022220729388305881},
	{-0.059682560592531,    0.99321506455028853864,   0.11631863091190476725},
	{-0.06272744250449099,  0.99248264757230815939,   0.12241067519921619850},
	{-0.0657699627637,      0.99171286418360017677,   0.12849811079379317263},
	{-0.068810006821,       0.99090574336607415646,   0.13458070850712618632},
	{-0.07184746022041,     0.99006131550737244256,   0.14065823933284923072},
	{-0.0748822086036,      0.98917961239972709246,   0.14673047445536175166},
	{-0.07791413771389996,  0.98826066723876110523,   0.15279718525844342772},
	{-0.08094313340099999,  0.98730451462224106089,   0.15885814333386144168},
	{-0.083969081624910001, 0.98631119054877245933,   0.16491312048996992142},
	{-0.0869918684603,      0.98528073241644468866,   0.17096188876030122637},
	{-0.090011380101,       0.98421317902142429803,   0.17700422041214875620},
	{-0.09302750286411,     0.98310857055649326483,   0.18303988795514095852},
	{-0.09604012319429,     0.98196694860953582714,   0.18906866414980621276},
	{-0.09904912766820999,  0.98078835616197379653,   0.19509032201612826785},
	{-0.10205440299838997,  0.97957283758714567896,   0.20110463484209191157},
	{-0.10505583603801,     0.97832043864863940658,   0.20711137619221854971},
	{-0.10805331378469889,  0.97703120649856645697,   0.21311031991609137397},
	{-0.111046723385311,    0.97570518967578981366,   0.21910124015686979723},
	{-0.11403595213951,     0.97434243810409242738,   0.22508391135979283599},
	{-0.11702088750459098,  0.97294300309030115448,   0.23105810828067111965},
	{-0.12000141709929999,  0.97150693732235254266,   0.23702360599436720687},
	{-0.12297742870860999,  0.97003429486731248183,   0.24298017990326388995},
	{-0.12594881028710998,  0.96852513116933548924,   0.24892760574572016812},
	{-0.12891544996418978,  0.96697950304758320839,   0.25486565960451457156},
	{-0.13187723604739098,  0.96539746869407989749,   0.26079411791527551828},
	{-0.13483405702720099,  0.96377908767152516549,   0.26671275747489838632},
	{-0.13778580158099001,  0.96212442091104985069,   0.27262135544994898449},
	{-0.14073235857721099,  0.96043353070992206080,   0.27851968938505310521},
	{-0.1436736170797,      0.95870648072920243049,   0.28440753721127184362},
	{-0.1466094663516909,   0.95694333599134631917,   0.29028467725446236764},
	{-0.1495397958601,      0.95514416287775646128,   0.29615088824362382413},
	{-0.15246449527968999,  0.95330902912628376608,   0.30200594931922806701},
	{-0.15538345449729,     0.95143800382867742269,   0.30784964004153489369},
	{-0.15829656361561,     0.94953115742798161277,   0.31368174039889147666},
	{-0.1612037129578,      0.94758856171588594393,   0.31950203081601567790},
	{-0.164104793071311,    0.94561028983002089896,   0.32531029216226293414},
	{-0.16699969473208999,  0.94359641625120469601,   0.33110630575987640174},
	{-0.16988830894879988,  0.94154701680063978822,   0.33688985339222005069},
	{-0.17277052696664999,  0.93946216863705655684,   0.34266071731199439760},
	{-0.17564624027178888,  0.93734195025381017842,   0.34841868024943456842},
	{-0.17851534059530998,  0.93518644147592487884,   0.35416352542049038236},
	{-0.181377719917211,    0.93299572345708786892,   0.35989503653498814878},
	{-0.18423327047037888,  0.93076987867659344069,   0.36561299780477387002},
	{-0.1870818847451,      0.92850899093624045514,   0.37131719395183754341},
	{-0.189923455492499969, 0.92621314535717351081,   0.37700741021641825673},
	{-0.19275787572920999,  0.92388242837668205081,   0.38268343236508977173},
	{-0.19558503874087198,  0.92151692774494282642,   0.38834504669882629163},
	{-0.19840483808628999,  0.91911673252171698582,   0.39399204006104810860},
	{-0.20121716760180098,  0.91668193307299924173,   0.39962419984564682855},
	{-0.20402192140460978,  0.91421262106761159343,   0.40524131400498987091},
	{-0.20681899389739,     0.91170888947375580150,   0.41084317105790394219},
	{-0.20960827977198986,  0.90917083255551154962,   0.41642956009763718257},
	{-0.21238967401329999,  0.90659854586928684654,   0.42200027079979968595},
	{-0.2151630719033999,   0.90399212626022157205,   0.42755509343028209432},
	{-0.21792836902550888,  0.90135167185854135419,   0.43309381885315196849},
	{-0.22068546126767891,  0.89867728207586157435,   0.43861623853852763765},
	{-0.22343424482689999,  0.89596905760144569645,   0.44412214457042923165},
	{-0.2261746162131889,   0.89322710039841549830,   0.44961132965460660005},
	{-0.22890647225299999,  0.89045151369990922588,   0.45508358712634382354},
	{-0.23162971009339888,  0.88764240200519670445,   0.46053871095824002364},
	{-0.23434422720628997,  0.88479987107574718201,   0.46597649576796617791},
	{-0.2370499213914,      0.88192402793124208070,   0.47139673682599764857},
	{-0.2397466907809,      0.87901498084555053731,   0.47679923006332213334},
	{-0.24243443384309898,  0.87607283934265205402,   0.48218377207912274852},
	{-0.2451130493857899,   0.87309771419251009106,   0.48755016014843595464},
	{-0.24778243656070998,  0.87008971740690560061,   0.49289819222978403688},
	{-0.25044249486700998,  0.86704896223521786236,   0.49822766697278185242},
	{-0.25309312415491,     0.86397556316015990757,   0.50353838372571755870},
	{-0.25573422462971,     0.86086963589346978522,   0.50883014254310703694},
	{-0.2583656968556,      0.85773129737155440904,   0.51410274419322172660},
	{-0.26098744175890999,  0.85456066575108393184,   0.51935599016558958737},
	{-0.26359936063258,     0.85135786040454776372,   0.52458968267846890622},
	{-0.26620135513929999,  0.84812300191575671371,   0.52980362468629466822},
	{-0.26879332731549998,  0.84485621207530486017,   0.53499761988709721067},
	{-0.27137517957479998,  0.84155761387598273402,   0.54017147272989288130},
	{-0.27394681471199999,  0.83822733150814863994,   0.54532498842204642232},
	{-0.27650813590639887,  0.83486549035505088613,   0.55045797293660480298},
	{-0.27905904672578999,  0.83147221698810930611,   0.55557023301960222475},
	{-0.28159945112988998,  0.82804763916214869310,   0.56066157619733602385},
	{-0.284129253473709,    0.82459188581058738873,   0.56573181078361319740},
	{-0.2866483585118,      0.82110508704058699551,   0.57078074588696728024},
	{-0.289156671401101,    0.81758737412814934092,   0.57580819141784530075},
	{-0.2916540977053001,   0.81403887951317889973,   0.58081395809576454508},
	{-0.29414054339750096,  0.81045973679449103611,   0.58579785745643886033},
	{-0.29661591486441,     0.80685008072478605111,   0.59075970185887422843},
	{-0.29908011890990889,  0.80321004720557612717,   0.59569930449243334347},
	{-0.3015330627578909,   0.79953977328206457142,   0.60061647938386892666},
	{-0.30397465405648889,  0.79583939713799066144,   0.60551104140432551393},
	{-0.30640480088118996,  0.79210905809042488483,   0.61038280627630945272},
	{-0.30882341173828998,  0.78834889658452367797,   0.61523159058062684549},
	{-0.31123039556848977,  0.78455905418824268410,   0.62005721176328917866},
	{-0.31362566175021,     0.78073967358700610810,   0.62485948814238637709},
	{-0.31600912010309,     0.77689089857833521321,   0.62963823891492702538},
	{-0.31838068089109997,  0.77301287406643269933,   0.63439328416364549822},
	{-0.32074025482649,     0.76910574605673063007,   0.63912444486377574381},
	{-0.323087753072610989, 0.76516966165039011157,   0.64383154288979146507},
	{-0.325423087247401,    0.76120476903876386332,   0.64851440102211244509},
	{-0.32774616942681,     0.75721121749781751567,   0.65317284295377676409},
	{-0.33005691214831,     0.75318915738251066389,   0.65780669329707865694},
	{-0.33235522841352,     0.74913874012113200224,   0.66241577759017176112},
	{-0.334641031692201,    0.74506011820960254177,   0.66699992230363750665},
	{-0.33691423592528999,  0.74095344520573285343,   0.67155895484701840063},
	{-0.33917475552778998,  0.73681887572343955773,   0.67609270357531596037},
	{-0.34142250539240198,  0.73265656542692671497,   0.68060099779545305060},
	{-0.34365740089269,     0.72846667102482490314,   0.68508366777270038137},
	{-0.34587935788600999,  0.72424935026428966584,   0.68954054473706692462},
	{-0.348088292717091,    0.72000476192506493860,   0.69397146088965400901},
	{-0.3502841222206,      0.71573306581350150883,   0.69837624940897285356},
	{-0.3524667637249889,   0.71143442275654477903,   0.70275474445722530246},
	{-0.354636135054891,    0.70710899459567533702,   0.70710678118654752440},
	{-0.356792154534801,    0.70275694418081930029,   0.71143219574521644153},
	{-0.35893474099164,     0.69837843536421399846,   0.71573082528381865413},
	{-0.36106381375840995,  0.69397363299424268186,   0.72000250796138162908},
	{-0.36317929267669,     0.68954270290922476036,   0.72424708295146692095},
	{-0.3652810980997989,   0.68508581193117297913,   0.72846439044822519650},
	{-0.36736915089609,     0.68060312785951447428,   0.73265427167241283462},
	{-0.36944337245149099,  0.67609481946477051931,   0.73681656887736987510},
	{-0.37150368467269998,  0.67156105648220387549,   0.74095112535495909118},
	{-0.37355000999019199,  0.66700200960542873896,   0.74505778544146596242},
	{-0.37558227136088999,  0.66241785047998271971,   0.74913639452345932547},
	{-0.37760039227130099,  0.65780875169686590119,   0.75318679904361248249},
	{-0.37960429674049998,  0.65317488678604354473,   0.75720884650648454758},
	{-0.38159390932239,     0.64851643020990907859,   0.76120238548426181404},
	{-0.383569155109291,    0.64383355735672029564,   0.76516726562245892590},
	{-0.38552995973431,     0.63912644453399331724,   0.76910333764557963935},
	{-0.38747624937419999,  0.63439526896186506715,   0.77301045336273696082},
	{-0.38940795075240012,  0.62964020876642265178,   0.77688846567323245005},
	{-0.391324991141279959, 0.62486144297299384600,   0.78073722857209447831},
	{-0.39322729836538999,  0.62005915149941002840,   0.78455659715557523303},
	{-0.395114800804011,    0.61523351514923136577,   0.78834642762660626201},
	{-0.396987427393691,    0.61038471560493865540,   0.79210657730021235179},
	{-0.39884510763109,     0.60551293542109414738,   0.79583690460888353627},
	{-0.40068777157570099,  0.60061835801746885644,   0.79953726910790503351},
	{-0.4025153498521,      0.59570116767213457782,   0.80320753148064490981},
	{-0.404327773653101,    0.59076154951452923390,   0.80684755354379927221},
	{-0.406124974742002,    0.58579968951848475951,   0.81045719825259479173},
	{-0.40790688545510098,  0.58081577449522495589,   0.81403632970594836166},
	{-0.4096734387044,      0.57580999208633312029,   0.81758481315158369651},
	{-0.4114245679804,      0.57078253075668909431,   0.82110251499110467906},
	{-0.41316020735398995,  0.56573357978736989001,   0.82458930278502526448},
	{-0.4148802914792,      0.56066332926852503952,   0.82804504525775575207},
	{-0.416584755596001,    0.55557197009222187837,   0.83146961230254523708},
	{-0.418273535532201,    0.55045969394525524431,   0.83486287498638005631},
	{-0.41994656770617999,  0.54532669330193254417,   0.83822470555483804319},
	{-0.42160378912919887,  0.54017316141682666630,   0.84155497743689840962},
	{-0.423245137407909979, 0.53499929231750093059,   0.84485356524970707326},
	{-0.4248705507464,      0.52980528079720215857,   0.84812034480329725127},
	{-0.42647996794878,     0.52459132240752845426,   0.85135519310526514224},
	{-0.42807332842140001,  0.51935761345106623360,   0.85455798836540052079},
	{-0.42965057217518,     0.51410435097399985416,   0.85772861000027206992},
	{-0.43121163982769989,  0.50883173275869190752,   0.86086693863776727935},
	{-0.4327564726058,      0.50353995731623905787,   0.86397285612158673791},
	{-0.43428501234721,     0.49822922387899462158,   0.86704624551569265147},
	{-0.43579720150348,     0.49289973239307214980,   0.87008699110871141868},
	{-0.43729298314129,     0.48755168351081229498,   0.87309497841829009865},
	{-0.438772300945501,    0.48218527858323393505,   0.87607009419540660710},
	{-0.44023509922058998,  0.47680071965244921876,   0.87901222642863347783},
	{-0.44168132289301,     0.47139820944405841378,   0.88192126434835502970},
	{-0.44311091751328099,  0.46597795135951749951,   0.88479709843093778013},
	{-0.44452382925790997,  0.46054014946847942520,   0.88763962040285394778},
	{-0.44592000493160999,  0.45508500850111218870,   0.89044872324475788996},
	{-0.44729939196920999,  0.44961273384039028393,   0.89322430119551532034},
	{-0.448661938437500989, 0.44412353151436133274,   0.89596624975618515591},
	{-0.45000759303739998,  0.43861760818839053407,   0.89867446569395384303},
	{-0.45133630510580099,  0.43309517115737933103,   0.90134884704602201459},
	{-0.4526480246173089,   0.42755642833795980494,   0.90398929312344333160},
	{-0.45394270218659999,  0.42200158826066966830,   0.90659570451491536534},
	{-0.45522028906969998,  0.41643086006209763758,   0.90916798309052237656},
	{-0.456480737166209999, 0.41084445347701195632,   0.91170603200542985139},
	{-0.45772399902099,     0.40524257883046321105,   0.91420975570353065466},
	{-0.45895002782590001,  0.39962544702986544938,   0.91667905992104266313},
	{-0.46015877742161,     0.39399326955705591123,   0.91911385169005774391},
	{-0.461350202299501,    0.38834625846033386397,   0.92151403934204194346},
	{-0.46252425760300999,  0.38268462634647484452,   0.92387953251128675612},
	{-0.463680899129601,    0.37700858637272786535,   0.92621024213831134200},
	{-0.46482008333248998,  0.37131835223879054012,   0.92850608047321556595},
	{-0.4659417673219198,   0.36561413817876116547,   0.93076696107898373195},
	{-0.46704590886720996,  0.35989615895307560649,   0.93299279883473888771},
	{-0.46813246639789,     0.35416462984041887613,   0.93518350993894757764},
	{-0.46920139900591,     0.34841976662962399350,   0.93733901191257492322},
	{-0.47025266644640975,  0.34266178561154289668,   0.93945922360218991198},
	{-0.4712862291398089,   0.33689090357090677171,   0.94154406518302077842},
	{-0.47230204817301,     0.33110733777816244531,   0.94359345816196036150},
	{-0.47330008530109999,  0.32531130598129374026,   0.94560732538052132573},
	{-0.47428030294849999,  0.31950302639762160549,   0.94758559101774113464},
	{-0.47524266421049996,  0.31368271770558908156,   0.94952818059303666721},
	{-0.47618713285491,     0.30785059903652980098,   0.95143502096900836956},
	{-0.47711367332277999,  0.30200688996641386097,   0.95330604035419383692},
	{-0.47802225073060099,  0.29615181050758619460,   0.95514116830577072150},
	{-0.4789128308708,      0.29028558110047822268,   0.95694033573220886493},
	{-0.47978538021358997,  0.28440842260531183478,   0.95870347489587155539},
	{-0.48063986590809,     0.27852055629378325508,   0.96043051941556581121},
	{-0.48147625578321,     0.27262220384073013649,   0.96212140426904159543},
	{-0.4822945183494899,   0.26671358731578946386,   0.96377606579543986669},
	{-0.48309462279969999,  0.26079492917503318634,   0.96539444169768937455},
	{-0.48387653901039,     0.25486645225259525237,   0.96697647104485210910},
	{-0.4846402375429,      0.24892837975228126493,   0.96852209427441731623},
	{-0.4853856896444,      0.24298093523916457753,   0.97003125319454399261},
	{-0.4861128672491,      0.23702434263116996806,   0.97150389098625177554},
	{-0.48682174297899989,  0.23105882619064138293,   0.97293995220556014546},
	{-0.48751229014538997,  0.22508461051590145287,   0.97433938278557586051},
	{-0.488184482749701,    0.21910192053279456048,   0.97570213003852854447},
	{-0.48883829548407999,  0.21311098148621602768,   0.97702814265775435149},
	{-0.48947370373298999,  0.20711201893163574078,   0.97831737071962763311},
	{-0.49009068357359999,  0.20110525872660282694,   0.97956976568544053444},
	{-0.49068921177688999,  0.19509092702224349471,   0.98078528040323044912},
	{-0.49126926580878,     0.18906925025474813368,   0.98196386910955526408},
	{-0.49183082383049,     0.18304045513684312011,   0.98310548743121632719},
	{-0.49237386469959099,  0.17700476864925662355,   0.98421009238692907320},
	{-0.49289836797101,     0.17096241803217418796,   0.98527764238894124477},
	{-0.493404313897501,    0.16491363077668142652,   0.98630809724459864786},
	{-0.49389168343040898,  0.15885863461619925050,   0.98730141815785838241},
	{-0.49436045822057989,  0.15279765751791101013,   0.98825756773074949141},
	{-0.49481062061890999,  0.14673092767417879268,   0.98917650996478097345},
	{-0.49524215367709998,  0.14065867349395265118,   0.99005821026229710551},
	{-0.49565504114808,     0.13458112359416984534,   0.99090263542778002511},
	{-0.4960492674868889,   0.12849850679114917268,   0.99170975366909952287},
	{-0.496424817851162,    0.12241105209197556812,   0.99247953459870999816},
	{-0.49678167810160997,  0.11631898868587762232,   0.99321194923479453311},
	{-0.49711983480266985,  0.11022254593559947527,   0.99390697000235604155},
	{-0.49743927522290997,  0.10412195336876480916,   0.99456457073425545212},
	{-0.49773998733559999,  0.098017440669235827478,  0.99518472667219688624},
	{-0.498021959819091,    0.091909237668465330435,  0.99576741446765979399},
	{-0.4982851820573,      0.085797574336844062873,  0.99631261218277801263},
	{-0.4985296441399889,   0.079682680775041708842,  0.99682029929116571497},
	{-0.49875533686340997,  0.073564787205345396378,  0.99729045667869021614},
	{-0.4989622517301999,   0.067444123962989201538,  0.99772306664419160985},
	{-0.49915038095030995,  0.061320921487485883665,  0.99811811290014920713},
	{-0.49931971744069988,  0.055195410313947298608,  0.99847558057329475221},
	{-0.49947025482589,     0.049067821064406626655,  0.99879545620517239272},
	{-0.49960198743830999,  0.042938384439136263514,  0.99907772775264538289},
	{-0.4997149103183,      0.036807331207960766121,  0.99932238458834950090},
	{-0.49980901921440098,  0.030674892201569152309,  0.99952941750109316308},
	{-0.49988431058331,     0.024541298302822980212,  0.99969881869620422012},
	{-0.49994078159049999,  0.018406780438066742504,  0.99983058179582342202},
	{-0.49997843010989198,  0.012271569568430943845,  0.99992470183914454092},
	{-0.4999972547239889,   0.0061358966811368752475, 0.99998117528260114266}
};

static double cubic_sin_tab_64[64][4] = {
	{-0.16665160959195860017, -3.1439201621645130254e-7  , 1.0000000016699997169, 0.0},
	{-0.16655105447512043311, -0.012271686119497498362, 0.99969882373892657532, 0.024541228522912288032},
	{-0.16635098527417152321, -0.024535635064244628261, 0.99879546435014124858, 0.049067674327418014256},
	{-0.16604982072611688325, -0.036784838233487349800, 0.99729046820784566906, 0.073564563599667423530},
	{-0.16564882965416437123, -0.049011877204065374509, 0.99518474153969493625, 0.098017140329560601995},
	{-0.16514794850000807724, -0.061209396824370633276, 0.99247955281734764972, 0.12241067519921619850},
	{-0.16454779102084266298, -0.073370039578521272850, 0.98917653148330446338, 0.14673047445536175166},
	{-0.16384846667984334445, -0.085486488577710065157, 0.98527766720421387352, 0.17096188876030122637},
	{-0.16305060278290401217, -0.097551438599713975150, 0.98078530846916726606, 0.19509032201612826785},
	{-0.16215405596718466539, -0.10955764253797578650, 0.97570216143112453517, 0.21910124015686979723},
	{-0.16116033454342690625, -0.12149783669701977682, 0.97003128779530935399, 0.24298017990326388995},
	{-0.16006756728386026947, -0.13336490937258658073, 0.96377610397492461811, 0.26671275747489838632},
	{-0.15888193141394279225, -0.14515153212705037066, 0.95694037676169067270, 0.29028467725446236764},
	{-0.15759914551567566107, -0.15685076821154268834, 0.94952822473515011264, 0.31368174039889147666},
	{-0.15622114388083957438, -0.16845553252581119679, 0.94154411246761350352, 0.33688985339222005069},
	{-0.15474883749483062712, -0.17995883215199988352, 0.93299284927367789270, 0.35989503653498814878},
	{-0.15318336563527430836, -0.19135372969292793571, 0.92387958606436140587, 0.38268343236508977173},
	{-0.15152554851604880362, -0.20263336529592299896, 0.91420981235305944122, 0.40524131400498987091},
	{-0.14977667237109762386, -0.21379093514123279567, 0.90398935279270228740, 0.42755509343028209432},
	{-0.14793799002640258798, -0.22481971181798948439, 0.89322436376632921010, 0.44961132965460660005},
	{-0.14600965868220014822, -0.23571308302600007902, 0.88192132988972115125, 0.47139673682599764857},
	{-0.14399344829558194900, -0.24646446714563108585, 0.87008705956689362375, 0.49289819222978403688},
	{-0.14189054996757525511, -0.25706738870859129476, 0.85772868132442670830, 0.51410274419322172660},
	{-0.13970201494347613155, -0.26751546794474955116, 0.84485363943009572745, 0.53499761988709721067},
	{-0.13742935697188643671, -0.27780240494152981627, 0.83146968928885417589, 0.55557023301960222475},
	{-0.13507404124160745999, -0.28792200009166889022, 0.81758489287268058029, 0.57580819141784530075},
	{-0.13263738195028000517, -0.29786816114249260260, 0.80320761388453479430, 0.59569930449243334347},
	{-0.13012118752679763733, -0.30763488577775435252, 0.78834651259195520797, 0.61523159058062684549},
	{-0.12752620168744736568, -0.31721631608642936843, 0.77301054092012287007, 0.63439328416364549822},
	{-0.12485432406949912154, -0.32660666958828044559, 0.75720893661802829158, 0.65317284295377676409},
	{-0.12210730536742860668, -0.33580028527447222259, 0.74095121795316289347, 0.67155895484701840063},
	{-0.11928679384514952461, -0.34479162546482466599, 0.72424717796861482965, 0.68954054473706692462},
	{-0.11639431578002697505, -0.35357527974946244421, 0.70710687858779616021, 0.70710678118654752440},
	{-0.11343177866165924324, -0.36214595179185772273, 0.68954064445330294081, 0.72424708295146692095},
	{-0.11040097777170137134, -0.37049847858840898335, 0.67155905680559502345, 0.74095112535495909118},
	{-0.10730363044804372220, -0.37862783242464586427, 0.65317294710222598292, 0.75720884650648454758},
	{-0.10414167952850476367, -0.38652911396463616801, 0.63439339043285135050, 0.77301045336273696082},
	{-0.10091698516461515827, -0.39419756522409715811, 0.61523169890903981027, 0.78834642762660626201},
	{-0.097631505036802177657, -0.40162856651708756399, 0.59569941481423302985, 0.80320753148064490981},
	{-0.094287206578785407017, -0.40881764206549670019, 0.57580830366831988053, 0.81758481315158369651},
	{-0.090886147413576696507, -0.41576046003071482012, 0.55557034712430166410, 0.83146961230254523708},
	{-0.087430286582069051079, -0.42245284124461330001, 0.53499773578827216208, 0.84485356524970707326},
	{-0.083921045637178364980, -0.42889077601563942030, 0.51410286196326742086, 0.85772861000027206992},
	{-0.080363579481918942123, -0.43507028466139554452, 0.49289831127551831476, 0.87008699110871141868},
	{-0.076756085706232290318, -0.44098777866072800227, 0.47139685746040081343, 0.88192126434835502970},
	{-0.073101767004746272536, -0.44663965957697830327, 0.44961145197647844225, 0.89322430119551532034},
	{-0.069403999520154846560, -0.45202248004202907440, 0.42755521719257758972, 0.90398929312344333160},
	{-0.065664548106244347798, -0.45713301507033213321, 0.40524143910881847950, 0.91420975570353065466},
	{-0.061885397022902887177, -0.46196819502305992383, 0.38268355876407735972, 0.92387953251128675612},
	{-0.058069028045356612279, -0.46652510066515153374, 0.35989516414115779394, 0.93299279883473888771},
	{-0.054217608891727711252, -0.47080099136720140669, 0.33688998214293293177, 0.94154406518302077842},
	{-0.050333561332577079879, -0.47479328816882573018, 0.31368187021057865266, 0.94952818059303666721},
	{-0.046419341583428021459, -0.47849958245318181869, 0.29028480801973481560, 0.95694033573220886493},
	{-0.042477013134022598671, -0.48191765129371926998, 0.26671288914429451046, 0.96377606579543986669},
	{-0.038509097070391658385, -0.48504543099544837077, 0.24298031239767965479, 0.97003125319454399261},
	{-0.034517970715435871303, -0.48788103791870869156, 0.21910137339924899147, 0.97570213003852854447},
	{-0.030506219045735680996, -0.49042275809571870545, 0.19509045589300881572, 0.98078528040323044912},
	{-0.026475958757335002649, -0.49266907027677049454, 0.17096202321744254562, 0.98527764238894124477},
	{-0.022429737855669339082, -0.49461861743954279917, 0.14673060941425391157, 0.98917650996478097345},
	{-0.018370109749872527703, -0.49627022145930485091, 0.12241081055796419977, 0.99247953459870999816},
	{-0.014299336722622612103, -0.49762289344803238064, 0.098017276022424078594, 0.99518472667219688624},
	{-0.010219999567790616827, -0.49867581440512495987, 0.073564699535118045730, 0.99729045667869021614},
	{-0.0061344577092866986712, -0.49942835328339682040, 0.049067810433226200719, 0.99879545620517239272},
	{-0.0021883979154789650281, -0.49987481926961101693, 0.024541322457054169979, 0.99969881869620422012}
};

static double cubic_sin_tab_256[256][4] = {
	{-0.16666572563443206967, -4.9120403950456756343e-9, 1.0000000000065228558, 0.},
	{-0.16665945467704492954, -0.0030679589372131427699, 0.99998117530200427796, 0.0061358846491544753597},
	{-0.16664692367672350603, -0.0061357973217967511049, 0.99992470187115639890, 0.012271538285719926080},
	{-0.16662808718268607525, -0.0092034049823043725706, 0.99983058184101331052, 0.018406729905804820928},
	{-0.16660297839662927130, -0.012270666127849471447, 0.99969881875454073290, 0.024541228522912288032},
	{-0.16657160915794174215, -0.015337465199885125579, 0.99952941757247657623, 0.030674803176636625935},
	{-0.16653398650962504791, -0.018403686678934878423, 0.99932238467255530940, 0.036807222941358832325},
	{-0.16649009047222022993, -0.021469215297972201121, 0.99907772784971364181, 0.042938256934940823078},
	{-0.16643989801695631962, -0.024533935842996503776, 0.99879545631544932156, 0.049067674327418014256},
	{-0.16638343238545224498, -0.027597732754761416171, 0.99847558069686077746, 0.055195244349689939811},
	{-0.16632070785340483268, -0.030660490583894831749, 0.99811811303693331277, 0.061320736302208577783},
	{-0.16625176949771713122, -0.033722093670705533430, 0.99772306679359157461, 0.067443919563664057898},
	{-0.16617652048243836387, -0.036782427559004646623, 0.99729045684133870878, 0.073564563599667423530},
	{-0.16609503614302402542, -0.039841376437273914655, 0.99682029946679410261, 0.079682437971430121148},
	{-0.16600727729535132440, -0.042898825482627991145, 0.99631261237164214024, 0.085797312344439890462},
	{-0.16591331984356726599, -0.045954658991364927510, 0.99576741466911299641, 0.091908956497132728626},
	{-0.16581308216291323032, -0.049008762608075444835, 0.99518472688665014153, 0.098017140329560601995},
	{-0.16570658396549000845, -0.052061021217393779122, 0.99456457096192109123, 0.10412163387205457912},
	{-0.16559386525260635607, -0.055111319609818884766, 0.99390697024299890946, 0.11022220729388305881},
	{-0.16547491150146184530, -0.058159543096474918718, 0.99321194948841205884, 0.11631863091190476725},
	{-0.16534972989335365845, -0.061205576891412880053, 0.99247953486526553314, 0.12241067519921619850},
	{-0.16521832113397440044, -0.064249306345886316894, 0.99170975394860572736, 0.12849811079379317263},
	{-0.16508069366791359526, -0.067290616836671708878, 0.99090263572020568331, 0.13458070850712618632},
	{-0.16493684634602117311, -0.070329393911790508433, 0.99005821056768903886, 0.14065823933284923072},
	{-0.16478677529799793619, -0.073365523238801199660, 0.98917651028330098390, 0.14673047445536175166},
	{-0.16463055027069698302, -0.076398889986069212802, 0.98825756806176251956, 0.15279718525844342772},
	{-0.16446809659478850531, -0.079429380606420026329, 0.98730141850172974972, 0.15885814333386144168},
	{-0.16429944679187189119, -0.082456880788074166107, 0.98630809760136492067, 0.16491312048996992142},
	{-0.16412460878575260278, -0.085481276534562715909, 0.98527764275861924409, 0.17096188876030122637},
	{-0.16394359863767975784, -0.088502453901702025933, 0.98421009276941712788, 0.17700422041214875620},
	{-0.16375641262291267931, -0.091520299229892758716, 0.98310548782654328417, 0.18303988795514095852},
	{-0.16356305983191041470, -0.094534698882296355805, 0.98196386951772413450, 0.18906866414980621276},
	{-0.16336353265928036259, -0.097545539489958830770, 0.98078528082442879875, 0.19509032201612826785},
	{-0.16315787894810435690, -0.10055270736726231362, 0.97956976611935410923, 0.20110463484209191157},
	{-0.16294607262484755923, -0.10355608957203339511, 0.97831737116636203676, 0.20711137619221854971},
	{-0.16272813373082578761, -0.10655557293014637760, 0.97702814311726473311, 0.21311031991609137397},
	{-0.16250407446109935958, -0.10955104448017290279, 0.97570213051071990546, 0.21910124015686979723},
	{-0.16227389031419285088, -0.11254239154990978621, 0.97433938327051364996, 0.22508391135979283599},
	{-0.16203759716061226998, -0.11552950145802777116, 0.97293995270321975100, 0.23105810828067111965},
	{-0.16179520463441429060, -0.11851226173548075929, 0.97150389149659878927, 0.23702360599436720687},
	{-0.16154671906433439065, -0.12149056010589568360, 0.97003125371757851249, 0.24298017990326388995},
	{-0.16129215598043871426, -0.12446428438760448361, 0.96852209481006207718, 0.24892760574572016812},
	{-0.16103151568781968743, -0.12743332269730942297, 0.96697647159314476358, 0.25486565960451457156},
	{-0.16076481423007238646, -0.13039756320153707179, 0.96539444225858960431, 0.26079411791527551828},
	{-0.16049205997343420027, -0.13335689431198892096, 0.96377606636892777076, 0.26671275747489838632},
	{-0.16021326332681576201, -0.13631120461036681349, 0.96212140485509497818, 0.27262135544994898449},
	{-0.15992843676111201646, -0.13926038285246247069, 0.96043052001413757793, 0.27851968938505310521},
	{-0.15963758492797950228, -0.14220431805291810074, 0.95870347550698948699, 0.28440753721127184362},
	{-0.15934072521539273711, -0.14514289932169648479, 0.95694033635582025446, 0.29028467725446236764},
	{-0.15903786617294691159, -0.14807601604433485251, 0.95514116894185516798, 0.29615088824362382413},
	{-0.15872901954335384980, -0.15100355778784994793, 0.95330604100272612494, 0.30200594931922806701},
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	{-0.044944228719611613292, -0.48106255013734612651, 0.27262135750479745544, 0.96212140426904159543},
	{-0.043958624678747258535, -0.48188988401872003698, 0.26671275953319758719, 0.96377606579543986669},
	{-0.042971419213025403042, -0.48269907458098028654, 0.26079411997628217008, 0.96539444169768937455},
	{-0.041982514961014505880, -0.48349009245638592832, 0.25486566166915651088, 0.96697647104485210910},
	{-0.040992059962834294660, -0.48426290695932598914, 0.24892760781354866375, 0.96852209427441731623},
	{-0.040000066490319228382, -0.48501748919792182223, 0.24298018197414081855, 0.97003125319454399261},
	{-0.039006562412052096557, -0.48575381083992826123, 0.23702360806827204342, 0.97150389098625177554},
	{-0.038011628753353924130, -0.48647184380728621309, 0.23105811035704134415, 0.97293995220556014546},
	{-0.037015202574764408910, -0.48717156188575493078, 0.22508391343931301569, 0.97433938278557586051},
	{-0.036017401791944947794, -0.48785293807523878692, 0.21910124223922562071, 0.97570213003852854447},
	{-0.035018256336655055785, -0.48851594678464777184, 0.21311032200106348096, 0.97702814265775435149},
	{-0.034017789089849466453, -0.48916056317227383212, 0.20711137827977016914, 0.97831737071962763311},
	{-0.033016040549583284011, -0.48978676294562967972, 0.20110463693215136598, 0.97956976568544053444},
	{-0.032013080941676670317, -0.49039452226327041917, 0.19509032410821945581, 0.98078528040323044912},
	{-0.031008853595254360171, -0.49098381901408705151, 0.18906866624462651586, 0.98196386910955526408},
	{-0.030003489222391174524, -0.49155463025322799018, 0.18303989005223340196, 0.98310548743121632719},
	{-0.028996998154649959214, -0.49210693471454390017, 0.17700422251139812258, 0.98421009238692907320},
	{-0.027989384114125122845, -0.49264071188294402869, 0.17096189086201673466, 0.98527764238894124477},
	{-0.026980797914984148435, -0.49315594074083551137, 0.16491312259305818702, 0.98630809724459864786},
	{-0.025970878879336846712, -0.49365260514349418915, 0.15885814544218232602, 0.98730141815785838241},
	{-0.024960260273055894725, -0.49413068153407266619, 0.15279718736846067278, 0.98825756773074949141},
	{-0.023948670906165716332, -0.49459015443695086888, 0.14673047656738146029, 0.98917650996478097345},
	{-0.022936231587143501280, -0.49503100587812885080, 0.14065824144614950789, 0.99005821026229710551},
	{-0.021922903372273842440, -0.49545321988867489095, 0.13458071062194249713, 0.99090263542778002511},
	{-0.020908728340591865791, -0.49585678054042698722, 0.12849811291031218853, 0.99170975366909952287},
	{-0.019894380695768347235, -0.49624166705552399118, 0.12241067730730723637, 0.99247953459870999816},
	{-0.018878660970427910689, -0.49660787585113145304, 0.11631863302177041436, 0.99321194923479453311},
	{-0.017862231006614290408, -0.49695538763543875104, 0.11022220940543043610, 0.99390697000235604155},
	{-0.016845146398269828759, -0.49728418914728528757, 0.10412163598475369415, 0.99456457073425545212},
	{-0.015827376625195381960, -0.49759426871262162030, 0.098017142444617342814, 0.99518472667219688624},
	{-0.014809046400849407014, -0.49788561377181029606, 0.091908958613573384870, 0.99576741446765979399},
	{-0.013778859974465788058, -0.49815831755577924782, 0.085797314673929880277, 0.99631261218277801263},
	{-0.012759268262655405491, -0.49841216364937253384, 0.079682440304525175554, 0.99682029929116571497},
	{-0.011739013240110094482, -0.49864724632202555830, 0.073564565938690282113, 0.99729045667869021614},
	{-0.010719817710404780986, -0.49886354277034460391, 0.067443921888741356976, 0.99772306664419160985},
	{-0.0096992248340275965248, -0.49906106551999206456, 0.061320738626347892078, 0.99811811290014920713},
	{-0.0086810085428160545920, -0.49923977083240596540, 0.055195246603793126050, 0.99847558057329475221},
	{-0.0076638421797969110956, -0.49939966892261478412, 0.049067676494960277414, 0.99879545620517239272},
	{-0.0066426247904078882198, -0.49954080120243336148, 0.042938259096948575480, 0.99907772775264538289},
	{-0.0056203064684654949919, -0.49966313299697250277, 0.036807225108321925903, 0.99932238458834950090},
	{-0.0045976844558547358598, -0.49976665590338511353, 0.030674805364312552045, 0.99952941750109316308},
	{-0.0035482338561372624513, -0.49985161329713780080, 0.024541231264206106957, 0.99969881869620422012},
	{-0.0025316221500421794055, -0.49991743445294577929, 0.018406732496267015751, 0.99983058179582342202},
	{-0.0015205405575081816558, -0.49996438894933573085, 0.012271540660621000787, 0.99992470183914454092},
	{-0.00054835953021167470838, -0.49999216514922231098, 0.0061358860973883673031, 0.99998117528260114266}
};

static double pi[4] = {
	1.570796326794896619231,
	3.141592653589793238462,
	4.712388980384689857693,
	6.283185307179586477925
};

double quadratic_sin_256( double x ) {
	/* All of this just gets an arbitrary float down to the interval [0, pi/2]. */

	if ( x < 0 ) {
		return -quadratic_sin_256( -x );
	}

	if ( x >= pi[3] ) {
		x = x - pi[3] * floor( x/pi[3] );
	}

	if ( x >= pi[2] ) {
		return -quadratic_sin_256( pi[3] - x );
	} else if ( x >= pi[1] ) {
		return -quadratic_sin_256( x - pi[1] );
	} else if ( x >= pi[0] ) {
		if ( x == pi[0] ) {
			return 1.0;
		}

		x = pi[1] - x;
	}

	/* Now, just find the previous point and the step into the interval. */

	double nt = floor( x/pi[0]*256.0 );
	x = x - pi[0]*nt/256.0;
	int n = (int) nt;

	/* Apply Horner's rule. */

	return (quadratic_sin_tab_256[n][0]*x + quadratic_sin_tab_256[n][1])*x
	      + quadratic_sin_tab_256[n][2];
}

double quadratic_sin_64( double x ) {
	char negative = 0;

	if ( x < 0 ) {
		return -quadratic_sin_64( -x );
	}

	if ( x >= pi[3] ) {
		x = x - pi[3] * floor( x/pi[3] );
	}

	if ( x >= pi[2] ) {
		return -quadratic_sin_64( pi[3] - x );
	} else if ( x >= pi[1] ) {
		return -quadratic_sin_64( x - pi[1] );
	} else if ( x >= pi[0] ) {
		if ( x == pi[0] ) {
			return 1.0;
		}

		x = pi[1] - x;
	}

	/* Now, just find the previous point and the step into the interval. */

	double nt = floor( x/pi[0] * 64.0 );
	x = x - pi[0]*nt/64.0;
	int n = (int) nt;

	/* Apply Horner's rule. */

	return (quadratic_sin_tab_64[n][0]*x + quadratic_sin_tab_64[n][1])*x
	      + quadratic_sin_tab_64[n][2];
}

double cubic_sin_256( double x ) {
	/* All of this just gets an arbitrary float down to the interval [0, pi/2]. */

	if ( x < 0 ) {
		return -cubic_sin_256( -x );
	}

	if ( x >= pi[3] ) {
		x = x - pi[3] * floor( x/pi[3] );
	}

	if ( x >= pi[2] ) {
		return -cubic_sin_256( pi[3] - x );
	} else if ( x >= pi[1] ) {
		return -cubic_sin_256( x - pi[1] );
	} else if ( x >= pi[0] ) {
		if ( x == pi[0] ) {
			return 1.0;
		}

		x = pi[1] - x;
	}

	/* Now, just find the previous point and the step into the interval. */

	double nt = floor( x/pi[0]*256.0 );
	x = x - pi[0]*nt/256.0;
	int n = (int) nt;

	/* Apply Horner's rule. */

	return (
		(cubic_sin_tab_256[n][0]*x + cubic_sin_tab_256[n][1])*x
	       + cubic_sin_tab_256[n][2]
	)*x + cubic_sin_tab_256[n][3];
}

double cubic_sin_64( double x ) {
	char negative = 0;

	if ( x < 0 ) {
		return -cubic_sin_64( -x );
	}

	if ( x >= pi[3] ) {
		x = x - pi[3] * floor( x/pi[3] );
	}

	if ( x >= pi[2] ) {
		return -cubic_sin_64( pi[3] - x );
	} else if ( x >= pi[1] ) {
		return -cubic_sin_64( x - pi[1] );
	} else if ( x >= pi[0] ) {
		if ( x == pi[0] ) {
			return 1.0;
		}

		x = pi[1] - x;
	}

	/* Now, just find the previous point and the step into the interval. */

	double nt = floor( x/pi[0] * 64.0 );
	x = x - pi[0]*nt/64.0;
	int n = (int) nt;

	/* Apply Horner's rule. */

	return (
		(cubic_sin_tab_64[n][0]*x + cubic_sin_tab_64[n][1])*x
	       + cubic_sin_tab_64[n][2]
	)*x + cubic_sin_tab_64[n][3];
}

double linear_chebyshev_sin_256( double x ) {
	/* All of this just gets an arbitrary float down to the interval [0, pi/2]. */

	if ( x < 0 ) {
		return -linear_chebyshev_sin_256( -x );
	}

	if ( x >= pi[3] ) {
		x = x - pi[3] * floor( x/pi[3] );
	}

	if ( x >= pi[2] ) {
		return -linear_chebyshev_sin_256( pi[3] - x );
	} else if ( x >= pi[1] ) {
		return -linear_chebyshev_sin_256( x - pi[1] );
	} else if ( x >= pi[0] ) {
		if ( x == pi[0] ) {
			return 1.0;
		}

		x = pi[1] - x;
	}

	/* Now, just find the previous point and the step into the interval. */

	double nt = floor( x/pi[0]*256.0 );
	x = x - pi[0]*nt/256.0;
	int n = (int) nt;

	/* Apply Horner's rule. */

	return linear_chebyshev_sin_tab_256[n][0]*x + linear_chebyshev_sin_tab_256[n][1];
}

double linear_optimized_sin_256( double x ) {
	/* All of this just gets an arbitrary float down to the interval [0, pi/2]. */

	if ( x < 0 ) {
		return -linear_optimized_sin_256( -x );
	}

	if ( x >= pi[3] ) {
		x = x - pi[3] * floor( x/pi[3] );
	}

	if ( x >= pi[2] ) {
		return -linear_optimized_sin_256( pi[3] - x );
	} else if ( x >= pi[1] ) {
		return -linear_optimized_sin_256( x - pi[1] );
	} else if ( x >= pi[0] ) {
		if ( x == pi[0] ) {
			return 1.0;
		}

		x = pi[1] - x;
	}

	/* Now, just find the previous point and the step into the interval. */

	double nt = floor( x/pi[0]*256.0 );
	x = x - pi[0]*nt/256.0;
	int n = (int) nt;

	/* Apply Horner's rule. */

	return linear_optimized_sin_tab_256[n][0]*x + linear_optimized_sin_tab_256[n][1];
}