/****************************************************************************
 * Copyright (C) 2020 by Simulation Team, NavInfo Ltd.                      *
 *                                                                          *
 * This file is part of Simulation Core Software Stack.                     *
 *                                                                          *
 *   Simulation Core is a commercial autonomous driving simulation solution.*
 *                                                                          *
 *   You should have received a copy of the NavInfo EULA License along with *
 *   the software. If not, please contact us, <simulation@navinfo.com>.     *
 ****************************************************************************/

#include <map>
#include "geo/private/math/angle.h"
#include "geo/private/math/trigonometric.h"

namespace ns
{
namespace geo
{

static double g_cos100Table[] = {
    1.0000000000000000,
    0.9999999847691291,
    0.9999999390765166,
    0.9999998629221643,
    0.9999997563060741,
    0.9999996192282494,
    0.9999994516886945,
    0.9999992536874144,
    0.9999990252244151,
    0.9999987662997035,
    0.9999984769132877,
    0.9999981570651764,
    0.9999978067553793,
    0.9999974259839071,
    0.9999970147507714,
    0.9999965730559848,
    0.9999961008995606,
    0.9999955982815133,
    0.9999950652018582,
    0.9999945016606114,
    0.9999939076577904,
    0.9999932831934130,
    0.9999926282674982,
    0.9999919428800662,
    0.9999912270311376,
    0.9999904807207345,
    0.9999897039488793,
    0.9999888967155960,
    0.9999880590209089,
    0.9999871908648437,
    0.9999862922474267,
    0.9999853631686856,
    0.9999844036286483,
    0.9999834136273441,
    0.9999823931648033,
    0.9999813422410571,
    0.9999802608561371,
    0.9999791490100767,
    0.9999780067029094,
    0.9999768339346702,
    0.9999756307053947,
    0.9999743970151198,
    0.9999731328638829,
    0.9999718382517224,
    0.9999705131786779,
    0.9999691576447897,
    0.9999677716500991,
    0.9999663551946484,
    0.9999649082784806,
    0.9999634309016400,
    0.9999619230641713,
    0.9999603847661206,
    0.9999588160075348,
    0.9999572167884616,
    0.9999555871089498,
    0.9999539269690489,
    0.9999522363688097,
    0.9999505153082835,
    0.9999487637875227,
    0.9999469818065809,
    0.9999451693655121,
    0.9999433264643717,
    0.9999414531032158,
    0.9999395492821014,
    0.9999376150010865,
    0.9999356502602301,
    0.9999336550595920,
    0.9999316293992330,
    0.9999295732792147,
    0.9999274866995999,
    0.9999253696604520,
    0.9999232221618356,
    0.9999210442038161,
    0.9999188357864599,
    0.9999165969098341,
    0.9999143275740070,
    0.9999120277790478,
    0.9999096975250265,
    0.9999073368120139,
    0.9999049456400823,
    0.9999025240093042,
    0.9999000719197535,
    0.9998975893715050,
    0.9998950763646340,
    0.9998925328992174,
    0.9998899589753325,
    0.9998873545930577,
    0.9998847197524724,
    0.9998820544536569,
    0.9998793586966922,
    0.9998766324816606,
    0.9998738758086451,
    0.9998710886777297,
    0.9998682710889991,
    0.9998654230425394,
    0.9998625445384374,
    0.9998596355767804,
    0.9998566961576574,
    0.9998537262811577,
    0.9998507259473718,
    0.9998476951563913,
    0.9998446339083082,
    0.9998415422032160,
    0.9998384200412088,
    0.9998352674223817,
    0.9998320843468308,
    0.9998288708146529,
    0.9998256268259461,
    0.9998223523808090,
    0.9998190474793415,
    0.9998157121216442,
    0.9998123463078188,
    0.9998089500379678,
    0.9998055233121944,
    0.9998020661306034,
    0.9997985784932998,
    0.9997950604003900,
    0.9997915118519811,
    0.9997879328481812,
    0.9997843233890994,
    0.9997806834748455,
    0.9997770131055305,
    0.9997733122812661,
    0.9997695810021652,
    0.9997658192683413,
    0.9997620270799091,
    0.9997582044369840,
    0.9997543513396826,
    0.9997504677881222,
    0.9997465537824209,
    0.9997426093226983,
    0.9997386344090743,
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    0.9997305932206075,
    0.9997265269460098,
    0.9997224302180006,
    0.9997183030367047,
    0.9997141454022479,
    0.9997099573147569,
    0.9997057387743591,
    0.9997014897811831,
    0.9996972103353584,
    0.9996929004370153,
    0.9996885600862851,
    0.9996841892832999,
    0.9996797880281931,
    0.9996753563210985,
    0.9996708941621513,
    0.9996664015514872,
    0.9996618784892434,
    0.9996573249755573,
    0.9996527410105678,
    0.9996481265944145,
    0.9996434817272380,
    0.9996388064091798,
    0.9996341006403823,
    0.9996293644209887,
    0.9996245977511435,
    0.9996198006309919,
    0.9996149730606797,
    0.9996101150403544,
    0.9996052265701637,
    0.9996003076502565,
    0.9995953582807828,
    0.9995903784618934,
    0.9995853681937397,
    0.9995803274764746,
    0.9995752563102516,
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    0.9994149479166323,
    0.9994089633576715,
    0.9994029483549729,
    0.9993969029087195,
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    0.9993847206862865,
    0.9993785839104777,
    0.9993724166918566,
    0.9993662190306108,
    0.9993599909269292,
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    0.9993474433930183,
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    0.9993155418290078,
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    0.9993025681157919,
    0.9992960355983396,
    0.9992894726405892,
    0.9992828792427410,
    0.9992762554049955,
    0.9992696011275547,
    0.9992629164106211,
    0.9992562012543986,
    0.9992494556590916,
    0.9992426796249055,
    0.9992358731520469,
    0.9992290362407229,
    0.9992221688911420,
    0.9992152711035133,
    0.9992083428780468,
    0.9992013842149537,
    0.9991943951144460,
    0.9991873755767364,
    0.9991803256020390,
    0.9991732451905683,
    0.9991661343425401,
    0.9991589930581710,
    0.9991518213376787,
    0.9991446191812813,
    0.9991373865891984,
    0.9991301235616503,
    0.9991228300988584,
    0.9991155062010446,
    0.9991081518684322,
    0.9991007671012450,
    0.9990933518997082,
    0.9990859062640476,
    0.9990784301944899,
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    0.9990633867545954,
    0.9990558193847169,
    0.9990482215818578,
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    0.9990329346781247,
    0.9990252455777164,
    0.9990175260452590,
    0.9990097760809875,
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    0.9987890247045957,
    0.9987804227487659,
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    0.9987105118390394,
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    0.9998596355767804,
    0.9998625445384374,
    0.9998654230425394,
    0.9998682710889991,
    0.9998710886777297,
    0.9998738758086451,
    0.9998766324816606,
    0.9998793586966922,
    0.9998820544536569,
    0.9998847197524724,
    0.9998873545930577,
    0.9998899589753325,
    0.9998925328992174,
    0.9998950763646340,
    0.9998975893715050,
    0.9999000719197535,
    0.9999025240093042,
    0.9999049456400823,
    0.9999073368120139,
    0.9999096975250265,
    0.9999120277790478,
    0.9999143275740070,
    0.9999165969098341,
    0.9999188357864599,
    0.9999210442038161,
    0.9999232221618356,
    0.9999253696604520,
    0.9999274866995999,
    0.9999295732792146,
    0.9999316293992330,
    0.9999336550595920,
    0.9999356502602301,
    0.9999376150010865,
    0.9999395492821014,
    0.9999414531032158,
    0.9999433264643717,
    0.9999451693655121,
    0.9999469818065809,
    0.9999487637875227,
    0.9999505153082835,
    0.9999522363688097,
    0.9999539269690489,
    0.9999555871089498,
    0.9999572167884616,
    0.9999588160075348,
    0.9999603847661206,
    0.9999619230641713,
    0.9999634309016400,
    0.9999649082784806,
    0.9999663551946484,
    0.9999677716500991,
    0.9999691576447897,
    0.9999705131786779,
    0.9999718382517224,
    0.9999731328638828,
    0.9999743970151198,
    0.9999756307053947,
    0.9999768339346702,
    0.9999780067029094,
    0.9999791490100767,
    0.9999802608561371,
    0.9999813422410571,
    0.9999823931648033,
    0.9999834136273441,
    0.9999844036286483,
    0.9999853631686856,
    0.9999862922474267,
    0.9999871908648437,
    0.9999880590209089,
    0.9999888967155960,
    0.9999897039488793,
    0.9999904807207345,
    0.9999912270311376,
    0.9999919428800662,
    0.9999926282674982,
    0.9999932831934130,
    0.9999939076577904,
    0.9999945016606114,
    0.9999950652018582,
    0.9999955982815133,
    0.9999961008995606,
    0.9999965730559848,
    0.9999970147507714,
    0.9999974259839071,
    0.9999978067553793,
    0.9999981570651764,
    0.9999984769132877,
    0.9999987662997035,
    0.9999990252244151,
    0.9999992536874144,
    0.9999994516886945,
    0.9999996192282494,
    0.9999997563060741,
    0.9999998629221643,
    0.9999999390765166,
    0.9999999847691291,
};

static double g_sin100Table[] = {
    0.0000000000000000, 0.0001745329243133, 0.0003490658433101, 0.0005235987516737,
    0.0006981316440876, 0.0008726645152351, 0.0010471973597998, 0.0012217301724651,
    0.0013962629479143, 0.0015707956808309, 0.0017453283658983, 0.0019198609978000,
    0.0020943935712194, 0.0022689260808399, 0.0024434585213449, 0.0026179908874180,
    0.0027925231737425, 0.0029670553750019, 0.0031415874858796, 0.0033161195010590,
    0.0034906514152237, 0.0036651832230571, 0.0038397149192426, 0.0040142464984637,
    0.0041887779554039, 0.0043633092847466, 0.0045378404811753, 0.0047123715393734,
    0.0048869024540245, 0.0050614332198121, 0.0052359638314196, 0.0054104942835305,
    0.0055850245708283, 0.0057595546879966, 0.0059340846297187, 0.0061086143906784,
    0.0062831439655590, 0.0064576733490440, 0.0066322025358171, 0.0068067315205618,
    0.0069812602979616, 0.0071557888627000, 0.0073303172094606, 0.0075048453329270,
    0.0076793732277827, 0.0078539008887113, 0.0080284283103965, 0.0082029554875217,
    0.0083774824147706, 0.0085520090868268, 0.0087265354983739, 0.0089010616440956,
    0.0090755875186754, 0.0092501131167970, 0.0094246384331440, 0.0095991634624001,
    0.0097736881992490, 0.0099482126383744, 0.0101227367744598, 0.0102972606021890,
    0.0104717841162458, 0.0106463073113138, 0.0108208301820767, 0.0109953527232182,
    0.0111698749294222, 0.0113443967953723, 0.0115189183157523, 0.0116934394852461,
    0.0118679602985372, 0.0120424807503097, 0.0122170008352472, 0.0123915205480335,
    0.0125660398833526, 0.0127405588358882, 0.0129150774003242, 0.0130895955713444,
    0.0132641133436328, 0.0134386307118732, 0.0136131476707494, 0.0137876642149455,
    0.0139621803391453, 0.0141366960380327, 0.0143112113062918, 0.0144857261386065,
    0.0146602405296607, 0.0148347544741384, 0.0150092679667237, 0.0151837810021005,
    0.0153582935749529, 0.0155328056799650, 0.0157073173118207, 0.0158818284652042,
    0.0160563391347995, 0.0162308493152907, 0.0164053590013620, 0.0165798681876975,
    0.0167543768689814, 0.0169288850398977, 0.0171033926951307, 0.0172778998293646,
    0.0174524064372835, 0.0176269125135718, 0.0178014180529135, 0.0179759230499931,
    0.0181504274994948, 0.0183249313961028, 0.0184994347345015, 0.0186739375093752,
    0.0188484397154082, 0.0190229413472849, 0.0191974423996897, 0.0193719428673069,
    0.0195464427448210, 0.0197209420269165, 0.0198954407082776, 0.0200699387835890,
    0.0202444362475351, 0.0204189330948005, 0.0205934293200695, 0.0207679249180268,
    0.0209424198833570, 0.0211169142107445, 0.0212914078948741, 0.0214659009304303,
    0.0216403933120977, 0.0218148850345611, 0.0219893760925051, 0.0221638664806144,
    0.0223383561935737, 0.0225128452260678, 0.0226873335727814, 0.0228618212283992,
    0.0230363081876062, 0.0232107944450872, 0.0233852799955268, 0.0235597648336102,
    0.0237342489540220, 0.0239087323514473, 0.0240832150205709, 0.0242576969560779,
    0.0244321781526532, 0.0246066586049817, 0.0247811383077486, 0.0249556172556388,
    0.0251300954433375, 0.0253045728655297, 0.0254790495169005, 0.0256535253921351,
    0.0258280004859186, 0.0260024747929362, 0.0261769483078732, 0.0263514210254147,
    0.0265258929402460, 0.0267003640470524, 0.0268748343405192, 0.0270493038153318,
    0.0272237724661754, 0.0273982402877355, 0.0275727072746975, 0.0277471734217468,
    0.0279216387235689, 0.0280961031748492, 0.0282705667702733, 0.0284450295045266,
    0.0286194913722948, 0.0287939523682635, 0.0289684124871182, 0.0291428717235446,
    0.0293173300722283, 0.0294917875278552, 0.0296662440851108, 0.0298406997386809,
    0.0300151544832513, 0.0301896083135079, 0.0303640612241364, 0.0305385132098227,
    0.0307129642652526, 0.0308874143851122, 0.0310618635640874, 0.0312363117968641,
    0.0314107590781283, 0.0315852054025661, 0.0317596507648635, 0.0319340951597066,
    0.0321085385817815, 0.0322829810257745, 0.0324574224863716, 0.0326318629582591,
    0.0328063024361232, 0.0329807409146501, 0.0331551783885263, 0.0333296148524379,
    0.0335040503010715, 0.0336784847291133, 0.0338529181312498, 0.0340273505021674,
    0.0342017818365527, 0.0343762121290921, 0.0345506413744723, 0.0347250695673797,
    0.0348994967025010, 0.0350739227745228, 0.0352483477781319, 0.0354227717080148,
    0.0355971945588585, 0.0357716163253496, 0.0359460370021749, 0.0361204565840214,
    0.0362948750655758, 0.0364692924415251, 0.0366437087065563, 0.0368181238553562,
    0.0369925378826120, 0.0371669507830106, 0.0373413625512391, 0.0375157731819847,
    0.0376901826699345, 0.0378645910097757, 0.0380389981961955, 0.0382134042238812,
    0.0383878090875199, 0.0385622127817992, 0.0387366153014063, 0.0389110166410286,
    0.0390854167953535, 0.0392598157590686, 0.0394342135268613, 0.0396086100934192,
    0.0397830054534298, 0.0399573996015808, 0.0401317925325597, 0.0403061842410544,
    0.0404805747217525, 0.0406549639693418, 0.0408293519785100, 0.0410037387439451,
    0.0411781242603348, 0.0413525085223672, 0.0415268915247301, 0.0417012732621116,
    0.0418756537291996, 0.0420500329206823, 0.0422244108312478, 0.0423987874555841,
    0.0425731627883795, 0.0427475368243222, 0.0429219095581005, 0.0430962809844027,
    0.0432706510979171, 0.0434450198933320, 0.0436193873653360, 0.0437937535086175,
    0.0439681183178649, 0.0441424817877669, 0.0443168439130120, 0.0444912046882888,
    0.0446655641082860, 0.0448399221676924, 0.0450142788611966, 0.0451886341834874,
    0.0453629881292538, 0.0455373406931845, 0.0457116918699685, 0.0458860416542947,
    0.0460603900408522, 0.0462347370243300, 0.0464090825994171, 0.0465834267608028,
    0.0467577695031761, 0.0469321108212263, 0.0471064507096427, 0.0472807891631145,
    0.0474551261763311, 0.0476294617439819, 0.0478037958607564, 0.0479781285213439,
    0.0481524597204341, 0.0483267894527165, 0.0485011177128807, 0.0486754444956164,
    0.0488497697956133, 0.0490240936075610, 0.0491984159261495, 0.0493727367460685,
    0.0495470560620080, 0.0497213738686579, 0.0498956901607080, 0.0500700049328486,
    0.0502443181797695, 0.0504186298961611, 0.0505929400767133, 0.0507672487161165,
    0.0509415558090608, 0.0511158613502366, 0.0512901653343342, 0.0514644677560441,
    0.0516387686100566, 0.0518130678910622, 0.0519873655937516, 0.0521616617128153,
    0.0523359562429438, 0.0525102491788280, 0.0526845405151585, 0.0528588302466262,
    0.0530331183679218, 0.0532074048737363, 0.0533816897587605, 0.0535559730176854,
    0.0537302546452022, 0.0539045346360017, 0.0540788129847753, 0.0542530896862140,
    0.0544273647350091, 0.0546016381258519, 0.0547759098534336, 0.0549501799124457,
    0.0551244482975797, 0.0552987150035269, 0.0554729800249789, 0.0556472433566273,
    0.0558215049931638, 0.0559957649292800, 0.0561700231596676, 0.0563442796790185,
    0.0565185344820245, 0.0566927875633775, 0.0568670389177694, 0.0570412885398923,
    0.0572155364244381, 0.0573897825660991, 0.0575640269595673, 0.0577382695995350,
    0.0579125104806944, 0.0580867495977378, 0.0582609869453577, 0.0584352225182464,
    0.0586094563110965, 0.0587836883186004, 0.0589579185354508, 0.0591321469563403,
    0.0593063735759616, 0.0594805983890075, 0.0596548213901707, 0.0598290425741441,
    0.0600032619356207, 0.0601774794692935, 0.0603516951698553, 0.0605259090319994,
    0.0607001210504189, 0.0608743312198070, 0.0610485395348569, 0.0612227459902619,
    0.0613969505807155, 0.0615711533009110, 0.0617453541455419, 0.0619195531093018,
    0.0620937501868842, 0.0622679453729828, 0.0624421386622914, 0.0626163300495036,
    0.0627905195293134, 0.0629647070964145, 0.0631388927455010, 0.0633130764712669,
    0.0634872582684061, 0.0636614381316129, 0.0638356160555814, 0.0640097920350058,
    0.0641839660645805, 0.0643581381389997, 0.0645323082529580, 0.0647064764011497,
    0.0648806425782695, 0.0650548067790118, 0.0652289689980715, 0.0654031292301431,
    0.0655772874699214, 0.0657514437121014, 0.0659255979513779, 0.0660997501824458,
    0.0662739004000001, 0.0664480485987361, 0.0666221947733487, 0.0667963389185332,
    0.0669704810289849, 0.0671446210993991, 0.0673187591244711, 0.0674928950988965,
    0.0676670290173707, 0.0678411608745894, 0.0680152906652482, 0.0681894183840427,
    0.0683635440256687, 0.0685376675848221, 0.0687117890561988, 0.0688859084344947,
    0.0690600257144058, 0.0692341408906283, 0.0694082539578581, 0.0695823649107917,
    0.0697564737441253, 0.0699305804525552, 0.0701046850307777, 0.0702787874734895,
    0.0704528877753869, 0.0706269859311667, 0.0708010819355254, 0.0709751757831599,
    0.0711492674687669, 0.0713233569870432, 0.0714974443326859, 0.0716715295003919,
    0.0718456124848582, 0.0720196932807821, 0.0721937718828606, 0.0723678482857911,
    0.0725419224842709, 0.0727159944729973, 0.0728900642466679, 0.0730641317999802,
    0.0732381971276317, 0.0734122602243202, 0.0735863210847433, 0.0737603797035990,
    0.0739344360755850, 0.0741084901953992, 0.0742825420577398, 0.0744565916573048,
    0.0746306389887923, 0.0748046840469005, 0.0749787268263277, 0.0751527673217723,
    0.0753268055279327, 0.0755008414395074, 0.0756748750511950, 0.0758489063576940,
    0.0760229353537033, 0.0761969620339215, 0.0763709863930475, 0.0765450084257802,
    0.0767190281268186, 0.0768930454908618, 0.0770670605126090, 0.0772410731867591,
    0.0774150835080117, 0.0775890914710660, 0.0777630970706214, 0.0779371003013773,
    0.0781111011580335, 0.0782850996352895, 0.0784590957278449, 0.0786330894303997,
    0.0788070807376535, 0.0789810696443065, 0.0791550561450584, 0.0793290402346094,
    0.0795030219076597, 0.0796770011589095, 0.0798509779830591, 0.0800249523748087,
    0.0801989243288589, 0.0803728938399102, 0.0805468609026631, 0.0807208255118183,
    0.0808947876620766, 0.0810687473481388, 0.0812427045647057, 0.0814166593064782,
    0.0815906115681575, 0.0817645613444447, 0.0819385086300409, 0.0821124534196474,
    0.0822863957079656, 0.0824603354896968, 0.0826342727595425, 0.0828082075122043,
    0.0829821397423839, 0.0831560694447830, 0.0833299966141034, 0.0835039212450469,
    0.0836778433323155, 0.0838517628706112, 0.0840256798546362, 0.0841995942790926,
    0.0843735061386827, 0.0845474154281089, 0.0847213221420735, 0.0848952262752790,
    0.0850691278224281, 0.0852430267782233, 0.0854169231373675, 0.0855908168945634,
    0.0857647080445139, 0.0859385965819220, 0.0861124825014908, 0.0862863657979234,
    0.0864602464659229, 0.0866341245001928, 0.0868079998954363, 0.0869818726463569,
    0.0871557427476582, 0.0873296101940437, 0.0875034749802172, 0.0876773371008824,
    0.0878511965507432, 0.0880250533245035, 0.0881989074168673, 0.0883727588225389,
    0.0885466075362222, 0.0887204535526216, 0.0888942968664415, 0.0890681374723863,
    0.0892419753651604, 0.0894158105394685, 0.0895896429900153, 0.0897634727115055,
    0.0899372996986439, 0.0901111239461356, 0.0902849454486854, 0.0904587642009986,
    0.0906325801977802, 0.0908063934337355, 0.0909802039035699, 0.0911540116019889,
    0.0913278165236978, 0.0915016186634024, 0.0916754180158083, 0.0918492145756212,
    0.0920230083375471, 0.0921967992962919, 0.0923705874465616, 0.0925443727830622,
    0.0927181553005001, 0.0928919349935815, 0.0930657118570127, 0.0932394858855002,
    0.0934132570737506, 0.0935870254164704, 0.0937607909083664, 0.0939345535441454,
    0.0941083133185143, 0.0942820702261801, 0.0944558242618497, 0.0946295754202304,
    0.0948033236960294, 0.0949770690839540, 0.0951508115787117, 0.0953245511750099,
    0.0954982878675562, 0.0956720216510583, 0.0958457525202240, 0.0960194804697611,
    0.0961932054943776, 0.0963669275887815, 0.0965406467476809, 0.0967143629657840,
    0.0968880762377992, 0.0970617865584348, 0.0972354939223993, 0.0974091983244013,
    0.0975828997591495, 0.0977565982213525, 0.0979302937057193, 0.0981039862069587,
    0.0982776757197798, 0.0984513622388918, 0.0986250457590037, 0.0987987262748250,
    0.0989724037810650, 0.0991460782724331, 0.0993197497436390, 0.0994934181893923,
    0.0996670836044028, 0.0998407459833803, 0.1000144053210348, 0.1001880616120763,
    0.1003617148512149, 0.1005353650331608, 0.1007090121526245, 0.1008826562043161,
    0.1010562971829463, 0.1012299350832257, 0.1014035698998650, 0.1015772016275748,
    0.1017508302610662, 0.1019244557950500, 0.1020980782242374, 0.1022716975433395,
    0.1024453137470675, 0.1026189268301328, 0.1027925367872468, 0.1029661436131211,
    0.1031397473024673, 0.1033133478499972, 0.1034869452504225, 0.1036605394984552,
    0.1038341305888073, 0.1040077185161910, 0.1041813032753183, 0.1043548848609017,
    0.1045284632676535, 0.1047020384902862, 0.1048756105235125, 0.1050491793620449,
    0.1052227450005964, 0.1053963074338798, 0.1055698666566081, 0.1057434226634943,
    0.1059169754492517, 0.1060905250085936, 0.1062640713362332, 0.1064376144268841,
    0.1066111542752599, 0.1067846908760742, 0.1069582242240408, 0.1071317543138737,
    0.1073052811402866, 0.1074788046979938, 0.1076523249817093, 0.1078258419861476,
    0.1079993557060228, 0.1081728661360496, 0.1083463732709424, 0.1085198771054160,
    0.1086933776341851, 0.1088668748519646, 0.1090403687534694, 0.1092138593334147,
    0.1093873465865155, 0.1095608305074873, 0.1097343110910453, 0.1099077883319050,
    0.1100812622247821, 0.1102547327643921, 0.1104281999454510, 0.1106016637626745,
    0.1107751242107787, 0.1109485812844796, 0.1111220349784935, 0.1112954852875367,
    0.1114689322063255, 0.1116423757295764, 0.1118158158520061, 0.1119892525683314,
    0.1121626858732688, 0.1123361157615355, 0.1125095422278485, 0.1126829652669248,
    0.1128563848734817, 0.1130298010422365, 0.1132032137679067, 0.1133766230452098,
    0.1135500288688635, 0.1137234312335856, 0.1138968301340938, 0.1140702255651061,
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double ns_cos_round(double angle)
{
    angle = normalize_angle(angle);
    int a = static_cast<int>(std::round(angle * 100));
    return g_cos100Table[a];
}

double ns_sin_round(double angle)
{
    angle = normalize_angle(angle);
    int a = static_cast<int>(std::round(angle * 100));
    return g_sin100Table[a];
}

} // namespace geo
} // namespace ns