epsilon=1.1429873912822749822157835483053409594519099948227986612151258432276326359067381956754480218601720296491830543533740282322205413622839187511260422934100412419655140173760852610084558397029520261656276858275305130518972873687744140625E-100 test exp exp_series x=0 y=1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 exp_series x=1 y=2.7182818284590452353602874713526624977572470936999595749669676277240766303535475945713821785233015255 e=2.71828182845904523536028747135266249775724709369995957496696762772407663035354759457138217852516642742746639193200305992181741359662904357290033429526059563073813232862794349076323382988075319525101901157383418793070215408914993488416750924476146066808226480016847741185374234544243710753907774499206955170276183860626133138458299986 exp(1)=2.7182818284590452353602874713526624977572470936999595749669676277240766303535475945713821785251664274 err e-exp(1)=2.746639193200305992181741359662904357290033429526059563073813232862794349076323382988075319525101901157383418793070215408914993488416750924476146066808226480016847741185374234544243710753907774499206955170276183860626133138458299986E-101 exp(2)=7.3890560989306502272304274605750078131803155705518473240871278225225737960790577633843124850740524657 exp(1)-sqrt(exp(2))=9.3245092489275907128211278789903309404882461077506920239053696104271023833212801416081272554626847628943361296977257621343720430444083523804873443625210592688071229352720259139956052887136944244481872593401767813677611939254820598541920155E-94 exp_series x=0.001 y=1.0010005001667083416680557539930583115630762005807014602285146744603597482514482984127182260041532598 exp(.001)=1.0010005001667083416680557539930583115630762005807014602285146744603597482514482984127182260041532598 exp_series x=1.0 y=2.7182818284590452353602874713526624977572470936999595749669676277240766303535475945713821785233015255 exp(100)=26881171418161354484126255515800135873611118.7737419224151916086152802870349095649141588710972014036391083471688203151809355524228624968970358246 test atan, compute Pi atan(1) atan(0.57735026918962576450914878050195745564760175127012687601860232648397767230293334569371539558574952528020072030823303216086263313342477173188204984672381481803086875339526832068613801465608239228890181293315396655217198958183999521777427829225337339947560977824500710184918774763914041248958359681217985117499206253204424057778982143) atan(0.2679491924311227064725536584941276330571947461896193719441930205480669830911999629188538132427514242) atan(0.1316524975873958534715264574097171035928141022232375735535653257897598390106220283091007806750332316) atan(1)=0.7803986631477526196282957435773731082304424113428290116217769843721735271593912999752806999899828771 atan(1/sqrt(3))=0.5235987755982988730771072245453587061879437373065555483249117904226390124854335704099673402145837995 atan(2-sqrt(3))=0.2617993877991494365385536152732919070164307832812588184145771332117460794923746429236320219154418035 atan(b2)=0.1308996938995747182692768076366459535082153916406294092072893580128256835952587082761681176102056677 Pi 4*a1=3.1215946525910104785131829743094924329217696453713160464871079374886941086375651999011227999599315084 Pi 6*a2=3.1415926535897932384626433472721522371276624238393332899494707425358340749126014224598040412875027970 Pi 12*a3=3.1415926535897932384626433832795028841971693993751058209749255985409529539084957150835842629853016420 Pi 24*a4=3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348226449360248 Pi Npi =3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421171410 err npi-Pi24=2.6971811162E-90 test sin sin(50pi+pi/2)= 1 =1.0000000000000000000000000000000000000000000000000000000000000000000000000000000003783157637138541353 sin(-50pi-pi/2)= -1 =-0.9999999999999999999999998456214441646150127787711272476107415968910456917914957580585717832263241606 fraction of Pi as bits 00100100001111110110101010001000100001011010001100 00100011010011000100110001100110001010001011100000 00110111000001110011010001001010010000001001001110 00001000100010100110011111001100011101000000001000 00101110111110101001100011101100010011100110110010 00100101000101001010000010000111100110001110000111 10000010101100000000000000000110111111011001000001 11011100001010011111110111110000011101101000001110 11111000111111001101010000011010101100011000001101 01010110111001110110001100110010000001101101001010 10100100111111100110100101111100011111000100010011 10000001010111110101011010011000011010110100111111 10001011100010101001110111011011101001001010111001 10100101101111110111001110100011101100011110110010 11100000100101010101010110110101110101011100101110 01001111001110111010000011101101110111110111110110 10101010100011011010100101001110100010010000101100 01001100001010000100011010010110101011100111011011 01100111100110010101101110111111011001011100000001 01001000101111101110101011010011011101110011001001 fraction of e as bits 10110111111000010101000101100010100010101110110100 10101001101010101111110111000101011000100000001001 11001111010011110011110001110110001011100111000101 10000011110011100010110100110110100101011010100111 10000100110110010000010001010001100100001100111111 10111100110010010011100111011100111000100100100110 11001111101111100101111101001011111110001101100011 01100011000011000111010111011000111101101000000110 11001000000010101011101100010001100001011110101101 00111101111100011110110101011101010111111101011001 01011000010010010000110011111101010001111101011111 00000110011011101101000010000101011000110110010101 01010100111101111011010001101011110011101101010101 01110001001101011110011111110101011111001001001101 01100110000100111100001100011100001110000011100110 10001011011101111110001010100110100010011101101011 11001111101111111010000111001000011101111100010101 10001010000100110110101011011110011100110101001100 00101011001100101001001111010010000011101001111001 01111010101111000000101010110001100000101011001100 exp_series x=0.1091699911325197553500836229041400539005348122458734406107015404701087892483085085878768851896503705 y=1.1153519341656537004316642221302437188277530385891012548432101634798135825021677245424413163596775158 e^Pi*sqrt(163) =262537412640768743.9999999999992500725971981856888793538563373369908627075374103782106479101186075571644926070290893879 end Big_math