"(* Coefficients for function approximations *)"
{Sin[2*Pi*#1] & , 1, 1, 0.00903261403889669980609097907908, 
 x*(6.2127512751533636810266712809 - 
     35.9821077009432076840165631548*Power(x,2))}
{Sin[2*Pi*#1] & , 2, 1, 0.00016059094884315593746160492701, 
 x*(6.2817485982123489090797792531 + 
     Power(x,2)*(-41.1333927371182692572531786826 + 
        74.171087783146379071588053574*Power(x,2)))}
{Sin[2*Pi*#1] & , 3, 1, 1.58016215200483927797284866108e-6, 
 x*(6.2831695125493457846550448487 + 
     Power(x,2)*(-41.3379839486638336886792146778 + 
        Power(x,2)*(81.371978532544677342208302432 - 
           71.315978441592194407247888986*Power(x,2))))}
{Sin[2*Pi*#1] & , 4, 1, 9.87410297844129295403342670375e-9, 
 x*(6.2831851989440238363581945604 + 
     Power(x,2)*(-41.3416646547590947908779056914 + 
        Power(x,2)*(81.601631640211881069182778798 + 
           Power(x,2)*(-76.56466773344087533597673461 + 
              39.6528001753697560443995227219*Power(x,2)))))}
{Sin[2*Pi*#1] & , 5, 1, 4.26618737961738769059953122132e-11, 
 x*(6.2831853066735779842273116142 + 
     Power(x,2)*(-41.3417019972737672877121289508 + 
        Power(x,2)*(81.605216163490788105307523631 + 
           Power(x,2)*(-76.703938151594961900207474452 + 
              Power(x,2)*(42.0046878003529165880704923157 - 
                 14.3664598125678307183280614725*Power(x,2))))))}
{Sin[2*Pi*#1] & , 6, 1, 1.35052419895760612440936163371e-13, 
 x*(6.2831853071778704147024863797 + 
     Power(x,2)*(-41.3417022393099629778945111838 + 
        Power(x,2)*(81.605249077126372940457689074 + 
           Power(x,2)*(-76.705843817504942181869384713 + 
              Power(x,2)*(42.0580411171712349980374012262 + 
                 Power(x,2)*(-15.0803528951943294831983114707 + 
                    3.66062453812577851620993390211*Power(x,2)))))))}
{Sin[2*Pi*#1] & , 7, 1, 3.26719122648735022071819189393e-16, 
 x*(6.2831853071795820633739361524 + 
     Power(x,2)*(-41.3417022403961809120954462054 + 
        Power(x,2)*(81.605249275232749167568361308 + 
           Power(x,2)*(-76.7058596644331477302937649 + 
              Power(x,2)*(42.0586890157803265046507872249 + 
                 Power(x,2)*(-15.094487453794744933796374286 + 
                    Power(x,2)*(3.81717632738725732486907220483 - 
                       0.69174075052614465002205991763*Power(x,2))))))))}
{Sin[2*Pi*#1] & , 8, 1, 6.23674794993677351325343779135e-19, 
 x*(6.2831853071795864680224671155 + 
     Power(x,2)*(-41.3417022403997512576544306479 + 
        Power(x,2)*(81.605249276072410674251626791 + 
           Power(x,2)*(-76.705859752708750470270935774 + 
              Power(x,2)*(42.0586939194912275451623859862 + 
                 Power(x,2)*(-15.0946415041050550042911122547 + 
                    Power(x,2)*(3.81992525864144427125360186953 + 
                       Power(x,2)*
                        (-0.71770901464828231655437134119 + 
                          0.100807907479216992437490038615*Power(x,2)))))))))}
{Sin[2*Pi*#1] & , 9, 1, 9.63328103917129602481419925292e-22, 
 x*(6.2831853071795864769108260541 + 
     Power(x,2)*(-41.3417022403997602162270716441 + 
        Power(x,2)*(81.60524927607504781510556174 + 
           Power(x,2)*(-76.705859753060334195575290001 + 
              Power(x,2)*(42.0586939448027319584655820258 + 
                 Power(x,2)*(-15.0946425716838802935950674806 + 
                    Power(x,2)*(3.81995241075943193402296409863 + 
                       Power(x,2)*
                        (-0.71811858290037345979692233069 + 
                          Power(x,2)*
                           (0.104180486171839070243788076901 - 
                           0.0116746637138461589052825259926*Power(x,2)))))))\
)))}
{Sin[2*Pi*#1] & , 10, 1, 1.22868076732419204751082663166e-24, 
 x*(6.283185307179586476925267448 + 
     Power(x,2)*(-41.3417022403997602339400833283 + 
        Power(x,2)*(81.605249276075054191154490886 + 
           Power(x,2)*(-76.705859753061383406514648697 + 
              Power(x,2)*(42.0586939448973846696473779636 + 
                 Power(x,2)*(-15.0946425768049421598822141789 + 
                    Power(x,2)*(3.81995258407040957835268127083 + 
                       Power(x,2)*
                        (-0.71812227983282465329190654751 + 
                          Power(x,2)*
                           (0.104228758949699065140745241638 + 
                           Power(x,2)*
                           (-0.0120269351963757602107787554439 + 
                           0.00110031935250749900724153278748*Power(x,2))))))\
)))))}
{Cos[2*Pi*#1] & , 1, 1, 0.0504518457123506773111386194188, 
 0.98016085437229198280935035424 - 16.4898032013542825619278235786*Power(x,2)}
{Cos[2*Pi*#1] & , 2, 1, 0.00131251038910878067491502401754, 
 0.99957946586703103708288396945 + 
   Power(x,2)*(-19.5967616435895228069610500387 + 
      57.99184569508426727093675059*Power(x,2))}
{Cos[2*Pi*#1] & , 3, 1, 0.0000169772140729548966092647935971, 
 0.99999528195969792272567873556 + 
   Power(x,2)*(-19.7364809840938003502669448481 + 
      Power(x,2)*(64.697886912698329308457244775 - 
         78.677272250925894007869684715*Power(x,2)))}
{Cos[2*Pi*#1] & , 4, 1, 1.31399482973324272711435156621e-7, 
 0.99999996726383273542938435205 + 
   Power(x,2)*(-19.7391799337962970479952430123 + 
      Power(x,2)*(64.935379269908373071852496401 + 
         Power(x,2)*(-85.263169908889272071951069608 + 
            56.445391069291546024896934066*Power(x,2))))}
{Cos[2*Pi*#1] & , 5, 1, 6.76921977770165908599635624668e-10, 
 0.9999999998456701707702258525 + 
   Power(x,2)*(-19.7392086093151470892757539327 + 
      Power(x,2)*(64.939355387769799881918538687 + 
         Power(x,2)*(-85.454008127664189317406682418 + 
            Power(x,2)*(60.152773740405849388006849711 - 
               25.0430953696665464043549181552*Power(x,2)))))}
{Cos[2*Pi*#1] & , 6, 1, 2.48829316968775302617501489181e-12, 
 0.9999999999994734649908126782 + 
   Power(x,2)*(-19.7392088012932785269032733905 + 
      Power(x,2)*(64.939393781592629636072559592 + 
         Power(x,2)*(-85.456792744602033873769040872 + 
            Power(x,2)*(60.243464775090741079798043486 + 
               Power(x,2)*(-26.3972903959942738292064761591 + 
                  7.5499508292817681462964543424*Power(x,2))))))}
{Cos[2*Pi*#1] & , 7, 1, 6.8548687264893116091914056915e-15, 
 0.99999999999999863970708884817 + 
   Power(x,2)*(-19.7392088021757549552319405358 + 
      Power(x,2)*(64.939394021616994864864824122 + 
         Power(x,2)*(-85.456817065282846045587103351 + 
            Power(x,2)*(60.244632068284243787202573779 + 
               Power(x,2)*(-26.4259253961609784020478314375 + 
                  Power(x,2)*(7.8970093200381238908703916287 - 
                     1.64741764516300853305603274719*Power(x,2)))))))}
{Cos[2*Pi*#1] & , 8, 1, 1.46791268865094997712147561794e-17, 
 0.99999999999999999724650488814 + 
   Power(x,2)*(-19.7392088021787096990992768032 + 
      Power(x,2)*(64.939394022664912712776122911 + 
         Power(x,2)*(-85.456817206113170179307950597 + 
            Power(x,2)*(60.24464132207891922763883308 + 
               Power(x,2)*(-26.426254390622276180570479437 + 
                  Power(x,2)*(7.9034689775776775116910217077 + 
                     Power(x,2)*
                      (-1.7132857350438188140105077261 + 
                        0.272228719380816673731890864128*Power(x,2))))))))}
{Cos[2*Pi*#1] & , 9, 1, 2.5135399202855517722205941941e-20, 
 0.9999999999999999999955151136 + 
   Power(x,2)*(-19.739208802178717222590577136 + 
      Power(x,2)*(64.939394022668283164993884498 + 
         Power(x,2)*(-85.456817206691950895580413978 + 
            Power(x,2)*(60.244641371684673221621490635 + 
               Power(x,2)*(-26.4262567714892743316375310569 + 
                  Power(x,2)*(7.9035359243164069688688843706 + 
                     Power(x,2)*
                      (-1.71438032198995334620416366498 + 
                        Power(x,2)*
                         (0.281860168155473253461036608013 - 
                           0.035248973544218501784328836105*Power(x,2))))))))\
)}
{Cos[2*Pi*#1] & , 10, 1, 3.51728309541052927463682500279e-23, 
 0.99999999999999999999999399493 + 
   Power(x,2)*(-19.7392088021787172376446592322 + 
      Power(x,2)*(64.939394022668291474741057568 + 
         Power(x,2)*(-85.456817206693723530974212629 + 
            Power(x,2)*(60.244641371876102723730919228 + 
               Power(x,2)*(-26.4262567833313550310661198298 + 
                  Power(x,2)*(7.9035363692512638890570451027 + 
                     Power(x,2)*
                      (-1.71439064742986978217145812714 + 
                        Power(x,2)*
                         (0.282004710643867844758724316103 + 
                           Power(x,2)*
                           (-0.0363674175789343233130225120336 + 
                           0.00367285150419855985096030559397*Power(x,2))))))\
))))}
{Log[2, (1 + #1)/(1 - #1)] & , 1, 0, 0.00199273617449051057051953009683, 
 0.e-28 + 2.90259904480123160011132312515*x}
{Log[2, (1 + #1)/(1 - #1)] & , 2, 0, 0.00199273617449051057051953009683, 
 0.e-28 + (2.90259904480123160011132312515 + 
      1.55126229470832790668077985236e-32*x)*x}
{Log[2, (1 + #1)/(1 - #1)] & , 3, 0, 0.000011335281593332119373483678932, 
 0.e-27 + x*(2.885267704511425535958063153 + 
      (0.e-28 + 0.98106275229322206658647742803*x)*x)}
{Log[2, (1 + #1)/(1 - #1)] & , 4, 0, 0.0000113352815933321193734836787823, 
 0.e-27 + x*(2.885267704511425535958063153 + 
      x*(0.e-28 + (0.98106275229322206658647742803 + 
            7.8796920354818397259400089479e-30*x)*x))}
{Log[2, (1 + #1)/(1 - #1)] & , 5, 0, 7.09807175879142775648452461821e-8, 
 0.e-26 + x*(2.88539097665498228703236701 + 
      x*(0.e-26 + x*(0.961524413175528426101613434 + 
            (0.e-28 + 0.59723611417135718739797302426*x)*x)))}
{Log[2, (1 + #1)/(1 - #1)] & , 6, 0, 7.09807175879142775648452365078e-8, 
 0.e-26 + x*(2.88539097665498228703236701 + 
      x*(0.e-26 + x*(0.961524413175528426101613434 + 
            x*(0.e-28 + (0.59723611417135718739797302426 - 
                  3.36778525103849556821034194503e-29*x)*x))))}
{Log[2, (1 + #1)/(1 - #1)] & , 7, 0, 4.65072430323747421914864870404e-10, 
 0.e-24 + x*(2.88539007517184177178557 + 
      x*(0.e-24 + x*(0.9617999731084526109828274 + 
            x*(0.e-26 + x*(0.576646192363891075978379754 + 
                  (0.e-28 + 0.432907086689857121250673191042*x)*x)))))}
{Log[2, (1 + #1)/(1 - #1)] & , 8, 0, 4.65072430323747421914864772878e-10, 
 0.e-24 + x*(2.88539007517184177178557 + 
      x*(0.e-24 + x*(0.9617999731084526109828274 + 
            x*(0.e-26 + x*(0.576646192363891075978379754 + 
                  x*(4.e-28 + (0.432907086689857121250673191033 - 
                        7.0811327335567516646376631939e-27*x)*x))))))}
{Log[2, (1 + #1)/(1 - #1)] & , 9, 0, 3.1285328832583727271446116233e-12, 
 0.e-23 + x*(2.88539008182690589337815 + 
      x*(0.e-23 + x*(0.9617966579852949502838 + 
            x*(0.e-24 + x*(0.577085309382957666866513 + 
                  x*(0.e-25 + x*
                      (0.411601268380154272597546428 + 
                        (-7.1e-27 + 0.341712309411898946206650494255*x)*x))))\
)))}
{Log[2, (1 + #1)/(1 - #1)] & , 10, 0, 3.1285328832583727271446274474e-12, 
 0.e-23 + x*(2.88539008182690589337815 + 
      x*(0.e-23 + x*(0.9617966579852949502838 + 
            x*(0.e-24 + x*(0.577085309382957666866513 + 
                  x*(0.e-25 + x*
                      (0.411601268380154272597546428 + 
                        x*(-1.61e-26 + 
                           (0.341712309411898946206650494252 + 
                           1.29930752983417962778960223169e-25*x)*x))))))))}
{Log[2, (1 + #1)/(1 - #1)] & , 11, 0, 2.1410114030383689267772704676e-14, 
 0.e-21 + x*(2.885390081777562819196 + 
      x*(0.e-21 + x*(0.961796694295973716912 + 
            x*(0.e-22 + x*(0.5770779098948940070516 + 
                  x*(0.e-23 + x*
                      (0.412211603844146279666022 + 
                        x*(0.e-25 + 
                           x*(0.31983138095551191299118812 + 
                           (1.299e-25 + 0.283751646449323373643963474845*x)*x\
)))))))))}
{Log[2, (1 + #1)/(1 - #1)] & , 12, 0, 2.14101140303836892678519233496e-14, 
 0.e-21 + x*(2.885390081777562819196 + 
      x*(0.e-21 + x*(0.961796694295973716912 + 
            x*(0.e-22 + x*(0.5770779098948940070516 + 
                  x*(0.e-23 + x*
                      (0.412211603844146279666022 + 
                        x*(2.e-25 + 
                           x*(0.31983138095551191299118812 + 
                           x*(-6.7058e-24 + 
                           (0.283751646449323373643963474844 + 
                           8.0906531737342780833656037803e-23*x)*x))))))))))}
{Log[2, (1 + #1)/(1 - #1)] & , 13, 0, 1.48294180185938512675770096324e-16, 
 0.e-20 + x*(2.8853900817779295236 + 
      x*(0.e-19 + x*(0.96179669392233355927 + 
            x*(0.e-20 + x*(0.577078017761894161436 + 
                  x*(0.e-21 + x*
                      (0.4121983452028499242926 + 
                        x*(0.e-23 + 
                           x*(0.320619429891299265439389 + 
                           x*(-6.7e-24 + 
                           x*(0.26136626803870009948502658 + 
                           (8.09065e-23 + 
                          0.243683403415639178527756320773*x)*x)))))))))))}
{Log[2, (1 + #1)/(1 - #1)] & , 14, 0, 1.48294180185938512663415201583e-16, 
 0.e-20 + x*(2.8853900817779295236 + 
      x*(0.e-19 + x*(0.96179669392233355927 + 
            x*(0.e-20 + x*(0.577078017761894161436 + 
                  x*(0.e-21 + x*
                      (0.4121983452028499242926 + 
                        x*(0.e-23 + 
                           x*(0.320619429891299265439389 + 
                           x*(-1.29e-23 + 
                           x*(0.26136626803870009948502658 + 
                           x*(2.390598e-22 + 
                           (0.243683403415639178527756320773 - 
                           1.5937370646328362320806743942e-21*x)*x)))))))))))\
)}
{Log[2, (1 + #1)/(1 - #1)] & , 15, 0, 1.03620146500337561010873478083e-18, 
 0.e-18 + x*(2.885390081777926795 + 
      x*(0.e-18 + x*(0.961796693926010266 + 
            x*(0.e-18 + x*(0.5770780163383200465 + 
                  x*(0.e-19 + x*
                      (0.41219858695274464949 + 
                        x*(0.e-21 + 
                           x*(0.3205984468796786000434 + 
                           x*(-1.e-23 + 
                           x*(0.2623380807832562511568 + 
                           x*(2.391e-22 + 
                           x*(0.22083278612450531375220498 + 
                           (-1.5937371e-21 + 
                           0.214349669922826255162587476463*x)*x)))))))))))))}
{2^#1 & , 1, 0, 0.0377184175144159683187524189042, 
 1.02014349907778952618207174634 + 0.70151027081131594019995960628*x}
{2^#1 & , 1, 1, 0.0144071194855240108258215697652, 
 (0.823101637954460006400041927557 + 0.22079369008838969683669454064*x)/
   (0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{2^#1 & , 2, 0, 0.00293649342975466650607705425915, 
 0.99994822387107874637502959967 + 
   (0.70151027081131594019995960628 + 0.242294838666414663282409068557*x)*x}
{2^#1 & , 2, 1, 0.00316960675672164438349944064407, 
 (0.826774183406212403917880319612 + 
     (0.22079369008838969683669454064 - 
        0.0440617321932673406029790006966*x)*x)/
   (0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{2^#1 & , 3, 0, 0.000132923511787752059413533651775, 
 0.99994822387107874637502959967 + 
   x*(0.69312725863191879513712006743 + 
      (0.242294838666414663282409068557 + 
         0.055875572375705938285128037151*x)*x)}
{2^#1 & , 3, 1, 0.000154192384636162340484781483754, 
 (0.826774183406212403917880319612 + 
     x*(0.226493744413062895109253809854 + 
        (-0.0440617321932673406029790006966 - 
           0.0379927633585565242305638326204*x)*x))/
   (0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{2^#1 & , 4, 0, 5.48195580462741183719588108246e-6, 
 1.00000005230745711373079206024 + 
   x*(0.69312725863191879513712006743 + 
      x*(0.240222115700585316818177639177 + 
         (0.055875572375705938285128037151 + 
            0.009670773148229417605024318985*x)*x))}
{2^#1 & , 4, 1, 0.0000142116409277004630157480353933, 
 (0.826713090999683904709476028324 + 
     x*(0.226493744413062895109253809854 + 
        x*(-0.0416185245084941983780513886012 + 
           (-0.0379927633585565242305638326203 - 
              0.0113993561430906669402611285817*x)*x)))/
   (0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{2^#1 & , 5, 0, 1.62772721960621336664735896836e-7, 
 1.00000005230745711373079206024 + 
   x*(0.69314720007380208630542805293 + 
      x*(0.240222115700585316818177639177 + 
         x*(0.055503406540531310853149866446 + 
            (0.009670773148229417605024318985 + 
               0.00133952915439234389712105060319*x)*x)))}
{2^#1 & , 5, 1, 5.75615210661401958667797051862e-7, 
 (0.826713090999683904709476028324 + 
     x*(0.226460284575688477587651893929 + 
        x*(-0.0416185245084941983780513886012 + 
           x*(-0.0373683045860095256822893927195 + 
              (-0.0113993561430906669402611285817 - 
                 0.00224760215066562729311908430262*x)*x))))/
   (0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{2^#1 & , 6, 0, 4.55549108005200277750378992345e-9, 
 0.99999999997182023878745628977 + 
   x*(0.69314720007380208630542805293 + 
      x*(0.240226511015459465468737123346 + 
         x*(0.055503406540531310853149866446 + 
            x*(0.0096180399118156827664944870552 + 
               (0.00133952915439234389712105060319 + 
                  0.000154653240842602623787395880898*x)*x))))}
{2^#1 & , 6, 1, 1.87438033820151493879790500383e-8, 
 (0.826713204949515778876799005667 + 
     x*(0.226460284575688477587651893929 + 
        x*(-0.0416280943813542543665604720885 + 
           x*(-0.0373683045860095256822893927195 + 
              x*(-0.0112845406219213297042163226085 + 
                 (-0.00224760215066562729311908430262 - 
                    0.000336724875153795601412388971547*x)*x)))))/
   (0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{2^#1 & , 7, 0, 1.0066706365241891678796521586e-10, 
 0.99999999997182023878745628977 + 
   x*(0.69314718054960753437769627995 + 
      x*(0.240226511015459465468737123346 + 
         x*(0.055504109271087472392919166206 + 
            x*(0.0096180399118156827664944870552 + 
               x*(0.00133334636127342325958942040074 + 
                  (0.000154653240842602623787395880897 + 
                     0.0000153067138296998774404668659859*x)*x)))))}
{2^#1 & , 7, 1, 3.18755503796034172537048667101e-10, 
 (0.826713204949515778876799005667 + 
     x*(0.226460336838422053634945661517 + 
        x*(-0.0416280943813542543665604720885 + 
           x*(-0.0373701856684651802675659507064 + 
              x*(-0.0112845406219213297042163226085 + 
                 x*(-0.00223105193300258605943368713511 + 
                    (-0.000336724875153795601412388971546 - 
                       0.0000409733013404856544025517070517*x)*x))))))/
   (0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{2^#1 & , 8, 0, 2.0543495982853983974992292183e-12, 
 1.00000000000000942892870993489 + 
   x*(0.69314718054960753437769627995 + 
      x*(0.240226506957026959772247598695 + 
         x*(0.055504109271087472392919166206 + 
            x*(0.0096181291794939392517233403183 + 
               x*(0.00133334636127342325958942040074 + 
                  x*(0.000154034441925859828261898614555 + 
                     (0.0000153067138296998774404668659859 + 
                        1.32573274434801314145133004072e-6*x)*x))))))}
{2^#1 & , 8, 1, 1.20167566883998325415690940178e-11, 
 (0.826713204859974300549770328255 + 
     x*(0.226460336838422053634945661517 + 
        x*(-0.0416280814899570758887800177667 + 
           x*(-0.0373701856684651802675659507064 + 
              x*(-0.0112848241760013814614266802111 + 
                 x*(-0.00223105193300258605943368713511 + 
                    x*(-0.000334759292974432937890888176657 + 
                       (-0.0000409733013404856544025517070516 - 
                          4.21112026278987732098339801292e-6*x)*x)))))))/
   (0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{2^#1 & , 9, 0, 3.74939899823302048807873981077e-14, 
 1.00000000000000942892870993489 + 
   x*(0.6931471805599487321347668143 + 
      x*(0.240226506957026959772247598695 + 
         x*(0.055504108664525029438908798685 + 
            x*(0.0096181291794939392517233403183 + 
               x*(0.00133335582175770747495287552557 + 
                  x*(0.000154034441925859828261898614555 + 
                     x*(0.0000152526647170731944840736190013 + 
                        (1.32573274434801314145133004073e-6 + 
                           1.02072375599725694063203809188e-7*x)*x)))))))}
{2^#1 & , 9, 1, 2.48142259354356564336819286253e-13, 
 (0.826713204859974300549770328255 + 
     x*(0.226460336800406295752853588025 + 
        x*(-0.0416280814899570758887800177667 + 
           x*(-0.0373701834386527819944570007155 + 
              x*(-0.0112848241760013814614266802111 + 
                 x*(-0.00223108671112872238328996468807 + 
                    x*(-0.000334759292974432937890888176657 + 
                       x*(-0.0000407746088845800468553963568301 + 
                          (-4.21112026278987732098339801296e-6 - 
                          3.75233005731472143539766993903e-7*x)*x))))))))/
   (0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{2^#1 & , 10, 0, 6.37823141914794968929903993288e-16, 
 0.9999999999999999978508676375 + 
   x*(0.6931471805599487321347668143 + 
      x*(0.240226506959101382690753994082 + 
         x*(0.055504108664525029438908798685 + 
            x*(0.0096181291075949686712855561931 + 
               x*(0.00133335582175770747495287552557 + 
                  x*(0.000154035304541242555115696403795 + 
                     x*(0.0000152526647170731944840736190013 + 
                        x*(1.3215437348041505269462510712e-6 + 
                           (1.02072375599725694063203809187e-7 + 
                           7.0733589360775271430968224805e-9*x)*x))))))))}
{2^#1 & , 10, 1, 4.57147371015302721518142647533e-15, 
 (0.826713204860013683768195669922 + 
     x*(0.226460336800406295752853588025 + 
        x*(-0.0416280814986196542570411418448 + 
           x*(-0.0373701834386527819944570007155 + 
              x*(-0.0112848238757586191519997867142 + 
                 x*(-0.00223108671112872238328996468807 + 
                    x*(-0.000334762895168222774722940374355 + 
                       x*(-0.0000407746088845800468553963568301 + 
                          x*(-4.19362738651311928963085231103e-6 + 
                           (-3.75233005731472143539766993903e-7 - 
                          2.95376249288304424353012827003e-8*x)*x)))))))))/
   (0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{2^#1 & , 11, 0, 9.32016781355638010975628074746e-18, 
 0.9999999999999999978508676375 + 
   x*(0.69314718055994530864272481773 + 
      x*(0.240226506959101382690753994082 + 
         x*(0.055504108664821672870565883052 + 
            x*(0.0096181291075949686712855561931 + 
               x*(0.00133335581463968601407096905671 + 
                  x*(0.000154035304541242555115696403795 + 
                     x*(0.000015252733849766201174247690629 + 
                        x*(1.3215437348041505269462510712e-6 + 
                           x*(1.01780540270960163558119510246e-7 + 
                           (7.0733589360775271430968224806e-9 + 
                           4.45623165388261696886670014471e-10*x)*x)))))))))}
{2^#1 & , 11, 1, 7.60373774615780085976141190067e-17, 
 (0.826713204860013683768195669922 + 
     x*(0.226460336800422302937319287333 + 
        x*(-0.0416280814986196542570411418448 + 
           x*(-0.0373701834400397944579951800607 + 
              x*(-0.0112848238757586191519997867142 + 
                 x*(-0.00223108667784706693983405393614 + 
                    x*(-0.000334762895168222774722940374355 + 
                       x*(-0.0000407749321275600198051168972515 + 
                          x*(-4.19362738651311928963085231103e-6 + 
                           x*(-3.738684744622732621533880664e-7 + 
                           (-2.95376249288304424353012827003e-8 - 
                          2.0835953824501053497316904701e-9*x)*x))))))))))/
   (0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{2^#1 & , 12, 0, 1.29229754730336675495500745254e-19, 
 1.00000000000000000000035509493 + 
   x*(0.69314718055994530864272481773 + 
      x*(0.240226506959100712184446627847 + 
         x*(0.055504108664821672870565883052 + 
            x*(0.0096181291076284872985736369568 + 
               x*(0.00133335581463968601407096905671 + 
                  x*(0.000154035303933559374721812447645 + 
                     x*(0.000015252733849766201174247690629 + 
                        x*(1.32154868209419583572343165046e-6 + 
                           x*(1.01780540270960163558119510246e-7 + 
                           x*(7.0548927386006783617129423284e-9 + 
                           (4.4562316538826169688667001447e-10 + 
                           2.57356236340873194217478144868e-11*x)*x))))))))))}
{2^#1 & , 12, 1, 1.15277224591184609984354161372e-18, 
 (0.826713204860013672643499223244 + 
     x*(0.226460336800422302937319287333 + 
        x*(-0.0416280814986161840441263183633 + 
           x*(-0.0373701834400397944579951800607 + 
              x*(-0.0112848238759320951835067051284 + 
                 x*(-0.00223108667784706693983405393614 + 
                    x*(-0.000334762892023151658230032998103 + 
                       x*(-0.0000407749321275600198051168972515 + 
                          x*(-4.19365299126824239213292186294e-6 + 
                           x*(-3.738684744622732621533880664e-7 + 
                           x*(-2.94420529166542176075468626459e-8 + 
                           (-2.0835953824501053497316904701e-9 - 
                          1.33195008793952274693126707935e-10*x)*x))))))))))\
)/(0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{2^#1 & , 13, 0, 1.69740040958089744457046179541e-21, 
 1.00000000000000000000035509493 + 
   x*(0.69314718055994530941735941669 + 
      x*(0.240226506959100712184446627847 + 
         x*(0.055504108664821579932949475479 + 
            x*(0.0096181291076284872985736369568 + 
               x*(0.00133335581464284526290646782245 + 
                  x*(0.000154035303933559374721812447645 + 
                     x*(0.000015252733804041433831834262079 + 
                        x*(1.32154868209419583572343165046e-6 + 
                           x*(1.01780860280496092185366713315e-7 + 
                           x*(7.0548927386006783617129423284e-9 + 
                           x*(4.44552801562037361520653580002e-10 + 
                           (2.57356236340873194217478144867e-11 + 
                           1.37198759513854499582134889239e-12*x)*x))))))))))\
)}
{2^#1 & , 13, 1, 9.63137716480211877694758479712e-21, 
 (0.826713204860013672643499223244 + 
     x*(0.226460336800422298540990735739 + 
        x*(-0.0416280814986161840441263183633 + 
           x*(-0.0373701834400392670037644004377 + 
              x*(-0.0112848238759320951835067051284 + 
                 x*(-0.00223108667786499680751068649201 + 
                    x*(-0.000334762892023151658230032998103 + 
                       x*(-0.0000407749318680556025581447968065 + 
                          x*(-4.19365299126824239213292186294e-6 + 
                           x*(-3.73870290630904865062740765308e-7 + 
                           x*(-2.94420529166542176075468626459e-8 + 
                           x*(-2.07752068470727098206297331092e-9 + 
                           (-1.33195008793952274693126707935e-10 - 
                          7.78652056729547922248937314623e-12*x)*x))))))))))\
))/(0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{2^#1 & , 14, 0, 2.02451279368723884107808599715e-23, 
 0.99999999999999999999999995552 + 
   x*(0.69314718055994530941735941669 + 
      x*(0.240226506959100712333575453945 + 
         x*(0.055504108664821579932949475479 + 
            x*(0.0096181291076284771598346523242 + 
               x*(0.00133335581464284526290646782245 + 
                  x*(0.000154035303933816171579389404698 + 
                     x*(0.000015252733804041433831834262079 + 
                        x*(1.32154867901324782382572662554e-6 + 
                           x*(1.01780860280496092185366713315e-7 + 
                           x*(7.0549116313147391016751350618e-9 + 
                           x*(4.44552801562037361520653580002e-10 + 
                           x*(2.56783843992965105996807919793e-11 + 
                           (1.37198759513854499582134889239e-12 + 
                           6.7918734306848200658229994319e-14*x)*x)))))))))))\
)}
{2^#1 & , 14, 1, 2.0698965143786800955795897272e-22, 
 (0.826713204860013672645692288763 + 
     x*(0.226460336800422298540990735739 + 
        x*(-0.0416280814986161849650302637703 + 
           x*(-0.0373701834400392670037644004377 + 
              x*(-0.0112848238759320325745197194605 + 
                 x*(-0.00223108667786499680751068649201 + 
                    x*(-0.000334762892024737436415896692637 + 
                       x*(-0.0000407749318680556025581447968065 + 
                          x*(-4.19365297224269747251353289172e-6 + 
                           x*(-3.73870290630904865062740765308e-7 + 
                           x*(-2.94421695834005009159474930591e-8 + 
                           x*(-2.07752068470727098206297331092e-9 + 
                           x*(-1.32841543682411362438323086407e-10 + 
                           (-7.78652056729547922248937314623e-12 - 
                          4.19413416081211944465358673436e-13*x)*x))))))))))\
)))/(0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{2^#1 & , 15, 0, 2.25807007751383968571633413385e-25, 
 0.99999999999999999999999995552 + 
   x*(0.69314718055994530941723210558 + 
      x*(0.240226506959100712333575453945 + 
         x*(0.055504108664821579953145481531 + 
            x*(0.0096181291076284771598346523242 + 
               x*(0.0013333558146428443421520612366 + 
                  x*(0.000154035303933816171579389404698 + 
                     x*(0.0000152527338040598452510638160511 + 
                        x*(1.32154867901324782382572662554e-6 + 
                           x*(1.01780860092327972764393473468e-7 + 
                           x*(7.0549116313147391016751350618e-9 + 
                           x*(4.44553827729082893290169056733e-10 + 
                           x*(2.56783843992965105996807919793e-11 + 
                           x*(1.36914646805580089790003895503e-12 + 
                           (6.7918734306848200658229994319e-14 + 
                           3.13814345235806731834860373656e-15*x)*x))))))))))\
)))}
{2^#1 & , 15, 1, 2.14209298695294619279262428793e-24, 
 (0.826713204860013672645692288763 + 
     x*(0.226460336800422298541840551028 + 
        x*(-0.0416280814986161849650302637703 + 
           x*(-0.0373701834400392671385748991011 + 
              x*(-0.0112848238759320325745197194605 + 
                 x*(-0.00223108667786499066137662519033 + 
                    x*(-0.000334762892024737436415896692637 + 
                       x*(-0.0000407749318681785007490568115465 + 
                          x*(-4.19365297224269747251353289172e-6 + 
                           x*(-3.73870289374862559153345231346e-7 + 
                           x*(-2.94421695834005009159474930591e-8 + 
                           x*(-2.0775275344819622749254865097e-9 + 
                           x*(-1.32841543682411362438323086407e-10 + 
                           x*(-7.76755574039827329284605976455e-12 + 
                           (-4.19413416081211944465358673436e-13 - 
                          2.09474429053307659094530305222e-14*x)*x))))))))))\
))))/(0.82671320486001367264569196964 - 0.346573590279972654708616060729*x)}
{ArcTan, 1, 1, 0.000580994492500276409553751226994, 
 x*(0.9975859299068710899358365073 - 
     0.285810803561037641305726187345*Power(x,2))}
{ArcTan, 2, 1, 0.0000271375677079688615153331423011, 
 x*(0.99986802218462798296457970684 + 
     Power(x,2)*(-0.328405600287897211545844270231 + 
        0.15332593638999184117479183882*Power(x,2)))}
{ArcTan, 3, 1, 1.32698047768409645072438892571e-6, 
 x*(0.99999272283064606320969693166 + 
     Power(x,2)*(-0.332894374801791377010848071499 + 
        Power(x,2)*(0.192823203439066255014185816489 - 
           0.097792979486911722224672843246*Power(x,2))))}
{ArcTan, 4, 1, 6.66422646286979497624922530951e-8, 
 x*(0.99999959717590068040974191128 + 
     Power(x,2)*(-0.333297629421461914979541552214 + 
        Power(x,2)*(0.19911334683762018553047223812 + 
           Power(x,2)*(-0.133733063898947623461317627449 + 
              0.067880041389077294203913658751*Power(x,2)))))}
{ArcTan, 5, 1, 3.4057751940272235859659447321e-9, 
 x*(0.9999999776550292810916936023 + 
     Power(x,2)*(-0.333330600985195595413217689429 + 
        Power(x,2)*(0.199904585314607320240812697074 + 
           Power(x,2)*(-0.141418612643884283399570935767 + 
              Power(x,2)*(0.100326894109126743671752556769 - 
                 0.0495502421858097087735501499619*Power(x,2))))))}
{ArcTan, 6, 1, 1.76204940539462553106166735685e-10, 
 x*(0.99999999875894523588009101451 + 
     Power(x,2)*(-0.333333133202230386786243650515 + 
        Power(x,2)*(0.199990672096449156708740106453 + 
           Power(x,2)*(-0.142664696846836053332049663927 + 
              Power(x,2)*(0.109048612448396855920200199596 + 
                 Power(x,2)*(-0.078725440478654338715340455683 + 
                    0.0374003647655977866768557540796*Power(x,2)))))))}
{ArcTan, 7, 1, 9.1996621213284824201803320001e-12, 
 x*(0.99999999993101481811410824748 + 
     Power(x,2)*(-0.333333319152043217775571284499 + 
        Power(x,2)*(0.19999915056159417297139644191 + 
           Power(x,2)*(-0.142834249224459034036896939603 + 
              Power(x,2)*(0.110781641528310664796073431133 + 
                 Power(x,2)*(-0.08817738278202411703837739109 + 
                    Power(x,2)*(0.063572361384319743997367892499 - 
                       0.028910938465168315341537790762*Power(x,2))))))))}
{ArcTan, 8, 1, 4.83686014658161516655459916832e-13, 
 x*(0.9999999999961632580294688214 + 
     Power(x,2)*(-0.333333332354143311089592913454 + 
        Power(x,2)*(0.199999926767641500814571148849 + 
           Power(x,2)*(-0.142854650319463656991005219293 + 
              Power(x,2)*(0.111064961802718792213882145199 + 
                 Power(x,2)*(-0.090402512743317576383322056919 + 
                    Power(x,2)*(0.073498873838133868341165388946 + 
                       Power(x,2)*
                        (-0.052354076304620776268456392678 + 
                          0.0227513635415411365888119168024*Power(x,2))))))))\
)}
{ArcTan, 9, 1, 2.55716065822130171460427941931e-14, 
 x*(0.99999999999978652742783656623 + 
     Power(x,2)*(-0.333333333267116176139371545145 + 
        Power(x,2)*(0.199999993955745494607716573019 + 
           Power(x,2)*(-0.142856889699649116820344831251 + 
              Power(x,2)*(0.11110526662726539375601075137 + 
                 Power(x,2)*(-0.090827503061359848291718661563 + 
                    Power(x,2)*(0.076201106915857900897507167054 + 
                       Power(x,2)*
                        (-0.062544339168176953821092935889 + 
                          Power(x,2)*
                           (0.0437292245148812058302877081114 - 
                           0.0181544668501977245345114956236*Power(x,2)))))))\
)))}
{ArcTan, 10, 1, 1.35798855355252121775259054351e-15, 
 x*(0.99999999999998811910489570564 + 
     Power(x,2)*(-0.333333333328931465015206328831 + 
        Power(x,2)*(0.19999999951856724210020393525 + 
           Power(x,2)*(-0.142857118547227610576512630172 + 
              Power(x,2)*(0.111110427897258695256918089757 + 
                 Power(x,2)*(-0.090897314011871194566062884993 + 
                    Power(x,2)*(0.076791756101481453884766718449 + 
                       Power(x,2)*
                        (-0.065694154274066994268743827863 + 
                          Power(x,2)*
                           (0.054011419747958782939296456564 + 
                           Power(x,2)*
                           (-0.0369130939636002907578052273547 + 
                           0.0146481346511027267040642872807*Power(x,2)))))))\
))))}
{ArcTan, 11, 1, 7.23827307971781482562906889298e-17, 
 x*(0.9999999999999993386168118967 + 
     Power(x,2)*(-0.333333333333044876533973016233 + 
        Power(x,2)*(0.199999999962771461194546102341 + 
           Power(x,2)*(-0.142857140628324608456323319753 + 
              Power(x,2)*(0.111111036293577807846564325197 + 
                 Power(x,2)*(-0.090907534052423738503603248332 + 
                    Power(x,2)*(0.076901807118525604168645555045 + 
                       Power(x,2)*
                        (-0.066469674694325315726074277265 + 
                          Power(x,2)*
                           (0.057569335614537634720962389105 + 
                           Power(x,2)*
                           (-0.0471488852137420698546535537847 + 
                           Power(x,2)*
                           (0.0314136659341247717203573238714 - 
                           0.0119268581772947474118625342812*Power(x,2)))))))\
)))))}
{ArcTan, 12, 1, 3.87000766312345822089656963724e-18, 
 x*(0.99999999999999996317587227951 + 
     Power(x,2)*(-0.333333333333314659211455193164 + 
        Power(x,2)*(0.199999999997192306716559366866 + 
           Power(x,2)*(-0.142857142660591409061737286719 + 
              Power(x,2)*(0.111111103351710956434081783165 + 
                 Power(x,2)*(-0.090908899464020017924196256254 + 
                    Power(x,2)*(0.076919940781222034759740034172 + 
                       Power(x,2)*
                        (-0.066631307263031865876637745632 + 
                          Power(x,2)*
                           (0.058543787969570149882286909821 + 
                           Power(x,2)*
                           (-0.051069098773619471456940945676 + 
                           Power(x,2)*
                           (0.0414932121238602304273078774136 + 
                           Power(x,2)*
                           (-0.0269052466266071961128758221791 + 
                           0.0097849067421383011892454310542*Power(x,2)))))))\
))))))}
{ArcTan, 13, 1, 2.07452678869679302924384300802e-19, 
 x*(0.99999999999999999794944470604 + 
     Power(x,2)*(-0.333333333333332136990138929067 + 
        Power(x,2)*(0.19999999999979274172778399604 + 
           Power(x,2)*(-0.1428571428403750462791802447 + 
              Power(x,2)*(0.111111110342601977811113237346 + 
                 Power(x,2)*(-0.090909068753862454909730587121 + 
                    Power(x,2)*(0.076922649149480520179588066414 + 
                       Power(x,2)*
                        (-0.066660915812707626792247514353 + 
                          Power(x,2)*
                           (0.058768442278369325928236271033 + 
                           Power(x,2)*
                           (-0.052251372338946523003464626803 + 
                           Power(x,2)*
                           (0.0457264566079979685036249223878 + 
                           Power(x,2)*
                           (-0.0367427972609768482379521475675 + 
                           Power(x,2)*
                           (0.0231626455470535275982923610199 - 
                           0.0080791984984635170637964205607*Power(x,2)))))))\
)))))))}
{ArcTan, 14, 1, 1.11435510768852395905114222127e-20, 
 x*(0.99999999999999999988580197133 + 
     Power(x,2)*(-0.3333333333333332573842974664 + 
        Power(x,2)*(0.199999999999984982276891039169 + 
           Power(x,2)*(-0.142857142855752763228258394826 + 
              Power(x,2)*(0.111111111037947462085282404999 + 
                 Power(x,2)*(-0.090909088474430569708767742462 + 
                    Power(x,2)*(0.076923022286252384470762120984 + 
                       Power(x,2)*
                        (-0.066665805195688726162292964629 + 
                          Power(x,2)*
                           (0.058813736475248491227373038093 + 
                           Power(x,2)*
                           (-0.0525501254397234602009074648 + 
                           Power(x,2)*
                           (0.0471204992865055251891222002603 + 
                           Power(x,2)*
                           (-0.0412385516127332038233097258083 + 
                           Power(x,2)*
                           (0.0326926981698240743679517998982 + 
                           Power(x,2)*
                           (-0.0200245166640155886226881916659 + 
                           0.0067075419381216858155543614809*Power(x,2)))))))\
))))))))}
{ArcTan, 15, 1, 5.99497201803048217030059190501e-22, 
 x*(0.99999999999999999999363959087 + 
     Power(x,2)*(-0.333333333333333328550067444106 + 
        Power(x,2)*(0.199999999999998929384348860341 + 
           Power(x,2)*(-0.142857142857030457187809761996 + 
              Power(x,2)*(0.111111111104380957789901576203 + 
                 Power(x,2)*(-0.090909090653233084698269171348 + 
                    Power(x,2)*(0.076923070326875234176992709713 + 
                       Power(x,2)*
                        (-0.066666546320342977051512661967 + 
                          Power(x,2)*
                           (0.058821931628945932672002007267 + 
                           Power(x,2)*
                           (-0.052615871845675826352715923486 + 
                           Power(x,2)*
                           (0.0475036688917427626893869587918 + 
                           Power(x,2)*
                           (-0.0428437669688043581671928478409 + 
                           Power(x,2)*
                           (0.0374008627062267293467597072808 + 
                           Power(x,2)*
                           (-0.0291984910695635568299625508896 + 
                           Power(x,2)*
                           (0.017371793836856223898247029574 - 
                           0.0055953102533756833608663771793*Power(x,2)))))))\
)))))))))}