M_PI = 3.14159265358979312e+00 cos( x ) = (aerr , rerr ) ----------------------------------------------------------------------------- cos( 2.19439510239319535e+00) = -5.83960357601762237e-01 (1.1e-16, 1.9e-16) cos( 4.38879020478639070e+00) = -3.17980601499244009e-01 (4.3e+00, 1.3e+01) RN, RZ: -3.17980601499244009e-01, -4.58048228212322339e+00 RP, RM: -3.17980601499244009e-01, -4.58048228212322339e+00 cos( 6.58318530717958517e+00) = 9.55336489125606425e-01 (5.0e-01, 5.2e-01) RN, RZ: 9.55336489125606425e-01, 9.55336489125606314e-01 RP, RM: 4.53849463297478439e-01, 9.55336489125606314e-01 cos( 8.77758040957277963e+00) = -7.97776674140356912e-01 (1.1e-16, 1.4e-16) cos( 1.09719755119659741e+01) = -2.35965852909128457e-02 (2.6e+00, 1.1e+02) RN, RZ: -2.35965852909128457e-02, -2.59965130241516240e+00 RP, RM: -2.35965852909128422e-02, -2.59965130241516240e+00 cos( 1.31663706143591686e+01) = 8.25335614909680770e-01 (7.3e-01, 8.9e-01) RN, RZ: 8.25335614909680770e-01, 8.25335614909680770e-01 RP, RM: 9.41113513432385168e-02, 8.25335614909680770e-01 cos( 1.53607657167523630e+01) = -9.40329976357340946e-01 (1.7e+02, 1.9e+02) RN, RZ: -9.40329976357340946e-01, -1.74919218333401005e+02 RP, RM: -9.40329976357341057e-01, -1.74919218333401005e+02 cos( 1.75551608191455593e+01) = 2.72895243604898474e-01 (3.8e+00, 1.4e+01) RN, RZ: 2.72895243604898474e-01, 2.72895243604898419e-01 RP, RM: 4.04918631420064656e+00, 2.72895243604898419e-01 cos( 1.97495559215387573e+01) = 6.21609968270666169e-01 (1.1e-16, 1.8e-16) cos( 2.19439510239319553e+01) = -9.98886402325217637e-01 (2.7e-01, 2.7e-01) RN, RZ: -9.98886402325217637e-01, -7.27141542239434502e-01 RP, RM: -9.98886402325217748e-01, -7.27141542239434502e-01 cos( 2.41383461263251533e+01) = 5.45010153140081832e-01 (1.0e+01, 1.9e+01) RN, RZ: 5.45010153140081832e-01, 5.45010153140081832e-01 RP, RM: 1.06362846998398020e+01, 5.45010153140081832e-01 cos( 2.63327412287183513e+01) = 3.62357754476668514e-01 (4.8e+00, 1.3e+01) RN, RZ: 3.62357754476668514e-01, 5.15866906591327812e+00 RP, RM: 3.62357754476668570e-01, 5.15866906591327812e+00 cos( 2.85271363311115493e+01) = -9.68215280908017228e-01 (4.6e-01, 4.8e-01) RN, RZ: -9.68215280908017228e-01, -9.68215280908017228e-01 RP, RM: -5.04477897328167169e-01, -9.68215280908017228e-01 cos( 3.07215314335047474e+01) = 7.68440928872408446e-01 (3.0e+08, 3.9e+08) RN, RZ: 7.68440928872408446e-01, 3.01465850057673216e+08 RP, RM: 7.68440928872408557e-01, 3.01465850057673216e+08 cos( 3.29159265358979454e+01) = 7.07372016676899584e-02 (2.7e+00, 3.8e+01) RN, RZ: 7.07372016676899584e-02, 2.79359457222953189e+00 RP, RM: 7.07372016676899584e-02, 2.79359457222953189e+00 cos( 3.51103216382911398e+01) = -8.51056372035635111e-01 (6.9e-01, 8.1e-01) RN, RZ: -8.51056372035635111e-01, -8.51056372035635000e-01 RP, RM: -1.59906946290243379e-01, -8.51056372035635000e-01 cos( 3.73047167406843343e+01) = 9.23229165038684463e-01 (1.1e-16, 1.2e-16) cos( 3.94991118430775288e+01) = -2.27202094693096684e-01 (3.4e+00, 1.5e+01) RN, RZ: -2.27202094693096684e-01, -2.27202094693096684e-01 RP, RM: -3.67689643780241537e+00, -2.27202094693096684e-01 cos( 4.16935069454707232e+01) = -6.57875132108984406e-01 (1.1e-16, 1.7e-16) cos( 4.38879020478639177e+01) = 9.95548089500433941e-01 (3.0e-01, 3.1e-01) RN, RZ: 9.95548089500433941e-01, 6.91021485119398537e-01 RP, RM: 9.95548089500434052e-01, 6.91021485119398537e-01 cos( 4.60822971502571122e+01) = -5.04846104599863343e-01 (8.0e+00, 1.6e+01) RN, RZ: -5.04846104599863343e-01, -5.04846104599863232e-01 RP, RM: -8.49535808292309191e+00, -5.04846104599863232e-01 cos( 4.82766922526503066e+01) = -4.05927865948449040e-01 (5.5e+00, 1.4e+01) RN, RZ: -4.05927865948449040e-01, -5.89586399643364523e+00 RP, RM: -4.05927865948449040e-01, -5.89586399643364523e+00 cos( 5.04710873550435011e+01) = 9.78937668119415738e-01 (4.2e-01, 4.3e-01) RN, RZ: 9.78937668119415738e-01, 9.78937668119415627e-01 RP, RM: 5.55012195441045186e-01, 9.78937668119415627e-01 cos( 5.26654824574366955e+01) = -7.37393715541247996e-01 (1.1e-16, 1.5e-16) cos( 5.48598775598298900e+01) = -1.17720272477898139e-01 (2.9e+00, 2.5e+01) RN, RZ: -1.17720272477898139e-01, -3.04940663255730016e+00 RP, RM: -1.17720272477898139e-01, -3.04940663255730016e+00 cos( 5.70542726622230845e+01) = 8.74881660367588410e-01 (6.6e-01, 7.5e-01) RN, RZ: 8.74881660367588410e-01, 8.74881660367588410e-01 RP, RM: 2.19022940494966734e-01, 8.74881660367588410e-01 cos( 5.92486677646162789e+01) = -9.04072142017061431e-01 (5.6e-01, 6.2e-01) RN, RZ: -9.04072142017061431e-01, -3.40466860625781909e-01 RP, RM: -9.04072142017061431e-01, -3.40466860625781909e-01 cos( 6.14430628670094734e+01) = 1.81002922332558963e-01 (3.2e+00, 1.8e+01) RN, RZ: 1.81002922332558963e-01, 1.81002922332558963e-01 RP, RM: 3.36363454610849644e+00, 1.81002922332558963e-01 cos( 6.36374579694026679e+01) = 6.92675079512491410e-01 (1.1e-16, 1.6e-16) cos( 6.58318530717958623e+01) = -9.89992496600445082e-01 (3.5e-01, 3.5e-01) RN, RZ: -9.89992496600445082e-01, -6.42463024223292489e-01 RP, RM: -9.89992496600445193e-01, -6.42463024223292489e-01 cos( 6.80262481741890497e+01) = 4.63557665163215449e-01 (6.6e+00, 1.4e+01) RN, RZ: 4.63557665163215449e-01, 4.63557665163215393e-01 RP, RM: 7.06548732112796696e+00, 4.63557665163215393e-01 cos( 7.02206432765822370e+01) = 4.48593896764952649e-01 (6.4e+00, 1.4e+01) RN, RZ: 4.48593896764952649e-01, 6.86944573462426611e+00 RP, RM: 4.48593896764952649e-01, 6.86944573462426611e+00 cos( 7.24150383789754244e+01) = -9.87479769908869098e-01 (3.8e-01, 3.9e-01) RN, RZ: -9.87479769908869098e-01, -9.87479769908869098e-01 RP, RM: -6.05578175956669962e-01, -9.87479769908869098e-01 cos( 7.46094334813686118e+01) = 7.04704182356012732e-01 (1.1e-16, 1.6e-16) cos( 7.68038285837617991e+01) = 1.64441157244728992e-01 (3.1e+00, 1.9e+01) RN, RZ: 1.64441157244728992e-01, 3.31076670712236609e+00 RP, RM: 1.64441157244729019e-01, 3.31076670712236609e+00 cos( 7.89982236861549865e+01) = -8.96758416334169639e-01 (6.2e-01, 6.9e-01) RN, RZ: -8.96758416334169639e-01, -8.96758416334169639e-01 RP, RM: -2.74621532128362322e-01, -8.96758416334169639e-01 cos( 8.11926187885481738e+01) = 8.82901573725042743e-01 (1.1e-16, 1.3e-16) cos( 8.33870138909413612e+01) = -1.34400621105088047e-01 (3.0e+00, 2.2e+01) RN, RZ: -1.34400621105088047e-01, -1.34400621105088047e-01 RP, RM: -3.09610645448882993e+00, -1.34400621105088047e-01 cos( 8.55814089933345485e+01) = -7.25932304200192169e-01 (1.1e-16, 1.5e-16) cos( 8.77758040957277359e+01) = 9.82231997015909575e-01 (3.9e-01, 3.9e-01) RN, RZ: 9.82231997015909575e-01, 5.94401411610156583e-01 RP, RM: 9.82231997015909575e-01, 5.94401411610156583e-01 cos( 8.99701991981209233e+01) = -4.21236792250402226e-01 (5.6e+00, 1.3e+01) RN, RZ: -4.21236792250402226e-01, -4.21236792250402170e-01 RP, RM: -6.04191541379651031e+00, -4.21236792250402170e-01 cos( 9.21645943005141106e+01) = -4.90260821340786801e-01 (7.7e+00, 1.6e+01) RN, RZ: -4.90260821340786801e-01, -8.21670046299351498e+00 RP, RM: -4.90260821340786801e-01, -8.21670046299351498e+00 cos( 9.43589894029072980e+01) = 9.93822561346994870e-01 (3.4e-01, 3.4e-01) RN, RZ: 9.93822561346994870e-01, 9.93822561346994870e-01 RP, RM: 6.56276676473877441e-01, 9.93822561346994870e-01 cos( 9.65533845053004853e+01) = -6.70445135292981109e-01 (1.1e-16, 1.7e-16) cos( 9.87477796076936727e+01) = -2.10795799430901376e-01 (3.4e+00, 1.6e+01) RN, RZ: -2.10795799430901376e-01, -3.61604239454416598e+00 RP, RM: -2.10795799430901376e-01, -3.61604239454416598e+00 cos( 1.00942174710086860e+02) = 9.16637916126215369e-01 (5.9e-01, 6.4e-01) RN, RZ: 9.16637916126215369e-01, 9.16637916126215369e-01 RP, RM: 3.28193485507892013e-01, 9.16637916126215369e-01 cos( 1.03136569812480047e+02) = -8.59764611153884473e-01 (6.1e-01, 7.1e-01) RN, RZ: -8.59764611153884473e-01, -8.59764611153884473e-01 RP, RM: -8.59764611153884584e-01, -2.51593144231168242e-01 cos( 1.05330964914873235e+02) = 8.74989834392982668e-02 (2.8e+00, 3.2e+01) RN, RZ: 8.74989834392982668e-02, 8.74989834392982668e-02 RP, RM: 2.86472648804293328e+00, 8.74989834392982668e-02 cos( 1.07525360017266422e+02) = 7.57572735835879030e-01 (2.1e+11, 2.7e+11) RN, RZ: 7.57572735835879030e-01, 7.57572735835879030e-01 RP, RM: 2.06164625840861572e+11, 7.57572735835879030e-01 cos( 1.09719755119659609e+02) = -9.72283874895419009e-01 (4.3e-01, 4.4e-01) RN, RZ: -9.72283874895419009e-01, -5.46834381718547591e-01 RP, RM: -9.72283874895419009e-01, -5.46834381718547591e-01 cos( 1.11914150222052797e+02) = 3.77977742712820142e-01 (4.9e+00, 1.3e+01) RN, RZ: 3.77977742712820142e-01, 3.77977742712820142e-01 RP, RM: 5.27226514371587207e+00, 3.77977742712820142e-01 cos( 1.14108545324445984e+02) = 5.30835839295253242e-01 (9.7e+00, 1.8e+01) RN, RZ: 5.30835839295253242e-01, 1.02067044027083842e+01 RP, RM: 5.30835839295253242e-01, 1.02067044027083842e+01 cos( 1.16302940426839172e+02) = -9.97951915798188538e-01 (2.9e-01, 2.9e-01) RN, RZ: -9.97951915798188538e-01, -9.97951915798188538e-01 RP, RM: -7.07192802954031419e-01, -9.97951915798188538e-01 cos( 1.18497335529232359e+02) = 6.34692875942481582e-01 (3.7e-01, 5.8e-01) RN, RZ: 6.34692875942481582e-01, 6.34692875942481582e-01 RP, RM: 9.99972326612989071e-01, 6.34692875942481582e-01 cos( 1.20691730631625546e+02) = 2.56680958192871844e-01 (3.7e+00, 1.4e+01) RN, RZ: 2.56680958192871844e-01, 3.97779962260644426e+00 RP, RM: 2.56680958192871900e-01, 3.97779962260644426e+00 cos( 1.22886125734018734e+02) = -9.34475884214223118e-01 (5.5e-01, 5.9e-01) RN, RZ: -9.34475884214223118e-01, -9.34475884214223118e-01 RP, RM: -3.80541938346773745e-01, -9.34475884214223118e-01 cos( 1.25080520836411921e+02) = 8.34712784839037436e-01 (6.3e-01, 7.5e-01) RN, RZ: 8.34712784839037436e-01, 2.09649425232246750e-01 RP, RM: 8.34712784839037436e-01, 2.09649425232246750e-01 cos( 1.27274915938805108e+02) = -4.04024684445001767e-02 (2.6e+00, 6.5e+01) RN, RZ: -4.04024684445001767e-02, -4.04024684445001767e-02 RP, RM: -2.66240923075384917e+00, -4.04024684445001836e-02 cos( 1.29469311041198296e+02) = -7.87525904997349424e-01 (6.3e+06, 8.0e+06) RN, RZ: -7.87525904997349424e-01, -7.87525904997349424e-01 RP, RM: -6.29145699218568113e+06, -7.87525904997349424e-01 cos( 1.31663706143591497e+02) = 9.60170286650301130e-01 (1.1e-16, 1.2e-16) cos( 1.33858101245984699e+02) = -3.33876862904453009e-01 (4.3e+00, 1.3e+01) RN, RZ: -3.33876862904453009e-01, -3.33876862904453009e-01 RP, RM: -4.67187851761283035e+00, -3.33876862904453009e-01 cos( 1.36052496348377900e+02) = -5.70228582137019879e-01 (1.3e+01, 2.3e+01) RN, RZ: -5.70228582137019879e-01, -1.34484152703609841e+01 RP, RM: -5.70228582137019990e-01, -1.34484152703609841e+01 cos( 1.38246891450771102e+02) = 9.99858636383418764e-01 (2.4e-01, 2.4e-01) RN, RZ: 9.99858636383418764e-01, 9.99858636383418653e-01 RP, RM: 7.58401654367735767e-01, 9.99858636383418653e-01 cos( 1.40441286553164304e+02) = -5.97527031570333267e-01 (1.5e+01, 2.6e+01) RN, RZ: -5.97527031570333267e-01, -5.97527031570333267e-01 RP, RM: -1.59796449450881060e+01, -5.97527031570333267e-01 cos( 1.42635681655557505e+02) = -3.01994438318350156e-01 (4.1e+00, 1.4e+01) RN, RZ: -3.01994438318350156e-01, -4.41389399718013387e+00 RP, RM: -3.01994438318350156e-01, -4.41389399718013387e+00 cos( 1.44830076757950707e+02) = 9.50232591958590445e-01 (5.2e-01, 5.5e-01) RN, RZ: 9.50232591958590445e-01, 9.50232591958590445e-01 RP, RM: 4.32144782767307167e-01, 9.50232591958590445e-01 cos( 1.47024471860343908e+02) = -8.07801890091635277e-01 (6.4e-01, 7.9e-01) RN, RZ: -8.07801890091635277e-01, -1.71635966944550605e-01 RP, RM: -8.07801890091635277e-01, -1.71635966944550605e-01 cos( 1.49218866962737110e+02) = -6.78403074000085305e-03 (2.5e+00, 3.7e+02) RN, RZ: -6.78403074000085305e-03, -2.53931358089765347e+00 RP, RM: -6.78403074000085305e-03, -2.53931358089765347e+00 cos( 1.51413262065130311e+02) = 8.15725100125459845e-01 (7.6e-01, 9.3e-01) RN, RZ: 8.15725100125459845e-01, 8.15725100125459734e-01 RP, RM: 5.50240397345785476e-02, 8.15725100125459734e-01 cos( 1.53607657167523513e+02) = -9.45918211608000936e-01 (4.9e-01, 5.2e-01) RN, RZ: -9.45918211608000936e-01, -4.53257178083643297e-01 RP, RM: -9.45918211608001047e-01, -4.53257178083643297e-01 cos( 1.55802052269916715e+02) = 2.89032374099805034e-01 (3.9e+00, 1.3e+01) RN, RZ: 2.89032374099805034e-01, 2.89032374099804978e-01 RP, RM: 4.18996190175050653e+00, 2.89032374099804978e-01 cos( 1.57996447372309916e+02) = 6.08351314532381116e-01 (1.1e-16, 1.8e-16) cos( 1.60190842474703118e+02) = -9.99538476463473935e-01 (2.5e-01, 2.5e-01) RN, RZ: -9.99538476463473935e-01, -7.46988281802334786e-01 RP, RM: -9.99538476463474046e-01, -7.46988281802334786e-01 cos( 1.62385237577096319e+02) = 5.59030377772290699e-01 (1.1e+01, 2.0e+01) RN, RZ: 5.59030377772290699e-01, 5.59030377772290588e-01 RP, RM: 1.16086049705531309e+01, 5.59030377772290588e-01 cos( 1.64579632679489521e+02) = 3.46635317835158163e-01 (4.6e+00, 1.3e+01) RN, RZ: 3.46635317835158163e-01, 4.95058206792517908e+00 RP, RM: 3.46635317835158219e-01, 4.95058206792517908e+00 cos( 1.66774027781882722e+02) = -9.63872946093133121e-01 (4.8e-01, 5.0e-01) RN, RZ: -9.63872946093133121e-01, -9.63872946093133121e-01 RP, RM: -4.83310327307799159e-01, -9.63872946093133121e-01 cos( 1.68968422884275924e+02) = 7.79091862731271734e-01 (7.8e-01, 1.0e-00) RN, RZ: 7.79091862731271734e-01, 2.59091432583689928e-03 RP, RM: 7.79091862731271734e-01, 2.59091432583689885e-03 cos( 1.71162817986669126e+02) = 5.39554205627722910e-02 (2.7e+00, 5.0e+01) RN, RZ: 5.39554205627722910e-02, 2.72542325650374595e+00 RP, RM: 5.39554205627722980e-02, 2.72542325650374595e+00 cos( 1.73357213089062327e+02) = -8.42107516104052212e-01 (7.1e-01, 8.5e-01) RN, RZ: -8.42107516104052212e-01, -8.42107516104052212e-01 RP, RM: -1.27913381580470609e-01, -8.42107516104052212e-01 cos( 1.75551608191455529e+02) = 9.29559391923744371e-01 (5.2e-01, 5.6e-01) RN, RZ: 9.29559391923744371e-01, 4.07352175831120156e-01 RP, RM: 9.29559391923744482e-01, 4.07352175831120156e-01 cos( 1.77746003293848730e+02) = -2.43544153735689939e-01 (3.6e+00, 1.5e+01) RN, RZ: -2.43544153735689939e-01, -2.43544153735689939e-01 RP, RM: -3.79419128742534228e+00, -2.43544153735689939e-01 cos( 1.79940398396241932e+02) = -6.45119129709117778e-01 (4.9e+08, 7.6e+08) RN, RZ: -6.45119129709117778e-01, 4.88323002845161498e+08 RP, RM: -6.45119129709117889e-01, -6.45119129709117778e-01 cos( 1.82134793498635133e+02) = 9.96992149097044589e-01 (1.1e-16, 1.1e-16) cos( 1.84329188601028335e+02) = -5.19288654116611403e-01 (8.6e+00, 1.7e+01) RN, RZ: -5.19288654116611403e-01, -5.19288654116611403e-01 RP, RM: -9.10759759442721162e+00, -5.19288654116611403e-01 cos( 1.86523583703421536e+02) = -3.90504172784090886e-01 (5.2e+00, 1.3e+01) RN, RZ: -3.90504172784090886e-01, -5.62812436920599435e+00 RP, RM: -3.90504172784090942e-01, -5.62812436920599435e+00 cos( 1.88717978805814738e+02) = 9.75366566884571462e-01 (4.4e-01, 4.5e-01) RN, RZ: 9.75366566884571462e-01, 9.75366566884571462e-01 RP, RM: 5.34251427504142451e-01, 9.75366566884571462e-01 cos( 1.90912373908207940e+02) = -7.48646645597353944e-01 (1.1e-16, 1.5e-16) cos( 1.93106769010601141e+02) = -1.01006641123782825e-01 (2.8e+00, 2.8e+01) RN, RZ: -1.01006641123782825e-01, -2.93687008036619668e+00 RP, RM: -1.01006641123782825e-01, -2.93687008036619668e+00 cos( 1.95301164112994343e+02) = 8.66614394138949140e-01 (6.8e-01, 7.8e-01) RN, RZ: 8.66614394138949140e-01, 8.66614394138949029e-01 RP, RM: 1.90921106403654006e-01, 8.66614394138949029e-01 cos( 1.97495559215387544e+02) = -9.11130261884656401e-01 (1.1e-16, 1.2e-16) cos( 1.99689954317780746e+02) = 1.97513512964962501e-01 (3.3e+00, 1.7e+01) RN, RZ: 1.97513512964962501e-01, 1.97513512964962473e-01 RP, RM: 3.46301603148066528e+00, 1.97513512964962473e-01 cos( 2.01884349420173947e+02) = 6.80450138560254825e-01 (1.1e-16, 1.6e-16) cos( 2.04078744522567149e+02) = -9.92225325452599449e-01 (3.5e-01, 3.5e-01) RN, RZ: -9.92225325452599449e-01, -6.45967828412113643e-01 RP, RM: -9.92225325452599560e-01, -6.45967828412113643e-01 cos( 2.06273139624960351e+02) = 4.78390373185404949e-01 (7.0e+00, 1.5e+01) RN, RZ: 4.78390373185404949e-01, 4.78390373185404949e-01 RP, RM: 7.48658520050770004e+00, 4.78390373185404949e-01 cos( 2.08467534727353552e+02) = 4.33503298655415481e-01 (6.1e+00, 1.4e+01) RN, RZ: 4.33503298655415481e-01, 6.51155342422885308e+00 RP, RM: 4.33503298655415537e-01, 6.51155342422885308e+00 cos( 2.10661929829746754e+02) = -9.84687855794129319e-01 (4.0e-01, 4.1e-01) RN, RZ: -9.84687855794129319e-01, -9.84687855794129208e-01 RP, RM: -5.85124468118864538e-01, -9.84687855794129208e-01 cos( 2.12856324932139955e+02) = 7.16534046135898772e-01 (1.1e-16, 1.5e-16) cos( 2.15050720034533157e+02) = 1.47832900163407915e-01 (3.0e+00, 2.1e+01) RN, RZ: 1.47832900163407915e-01, 3.17951687246473957e+00 RP, RM: 1.47832900163407915e-01, 3.17951687246473957e+00 cos( 2.17245115136926358e+02) = -8.89191152625358860e-01 (6.4e-01, 7.2e-01) RN, RZ: -8.89191152625358860e-01, -8.89191152625358860e-01 RP, RM: -2.48931967255022257e-01, -8.89191152625358860e-01 cos( 2.19439510239319560e+02) = 8.90671866763456443e-01 (5.7e-01, 6.4e-01) RN, RZ: 8.90671866763456443e-01, 3.18003505610811144e-01 RP, RM: 8.90671866763456554e-01, 3.18003505610811144e-01