initial commit

[libm] / test / io / cr / cosh.testdata

cosh     # Name of the function to test

# cosh.testdata
# copyright (C) 2005  F. de Dinechin and V.Lefevre
# This file is part of crlibm and is distributed under the GNU Public Licence
# See file COPYING for details

# The following lines are either comments (beginning with a #)
# or give 
#   1/ a rounding mode : RN|RU|RD|RZ (crlibm syntax) or  N|P|M|Z (libmcr syntax)
#   2/ The high and low hexadecimal halves of an input
#   3/ The high and low hexadecimal halves of the expected corresponding output


# Special cases
N 00000000 00000000 3ff00000 00000000 # zero
N 80000000 00000000 3ff00000 00000000 # -zero
P 00000000 00000000 3ff00000 00000000 # zero
P 80000000 00000000 3ff00000 00000000 # -zero
M 00000000 00000000 3ff00000 00000000 # zero
M 80000000 00000000 3ff00000 00000000 # -zero
Z 00000000 00000000 3ff00000 00000000 # zero
Z 80000000 00000000 3ff00000 00000000 # -zero

N 00000000 00000001 3ff00000 00000000 # smallest denorm positive
N 80000000 00000001 3ff00000 00000000 # smallest denorm negative
P 00000000 00000001 3ff00000 00000001 # smallest denorm positive
P 80000000 00000001 3ff00000 00000001 # smallest denorm negative
M 00000000 00000001 3ff00000 00000000 # smallest denorm positive
M 80000000 00000001 3ff00000 00000000 # smallest denorm negative
Z 00000000 00000001 3ff00000 00000000 # smallest denorm positive
Z 80000000 00000001 3ff00000 00000000 # smallest denorm negative

N 7ff00000 00000000 7ff00000 00000000 # +inf
N fff00000 00000000 7ff00000 00000000 # -inf
P 7ff00000 00000000 7ff00000 00000000 # +inf
P fff00000 00000000 7ff00000 00000000 # -inf
M 7ff00000 00000000 7ff00000 00000000 # +inf
M fff00000 00000000 7ff00000 00000000 # -inf
Z 7ff00000 00000000 7ff00000 00000000 # +inf
Z fff00000 00000000 7ff00000 00000000 # -inf

N fff80000 00000000 fff80000 00000000 # NaN
P fff80000 00000000 fff80000 00000000 # NaN
M fff80000 00000000 fff80001 00000000 # NaN
Z fff80000 00000000 fff80000 00000000 # NaN

N 408F4000 00000000 7ff00000 00000000 # A large positive
P 408F4000 00000000 7ff00000 00000000 
M 408F4000 00000000 7fefffff ffffffff # (returns infty rounded down) 
Z 408F4000 00000000 7fefffff ffffffff
N C08F4000 00000000 7ff00000 00000000 # A large negative
P C08F4000 00000000 7ff00000 00000000
M C08F4000 00000000 7fefffff ffffffff 
Z C08F4000 00000000 7fefffff ffffffff

#TODO check the transition to infinity (as in exp.checkdate)


# Behaviour at the bounds of the domain 
N 408633ce 8fb9f87e 7ff00000 00000000 # The first value whose cosh is  +inf
N 408633ce 8fb9f87d 7fefffff fffffd3b # and the one before
N c08633ce 8fb9f87e 7ff00000 00000000 # Same in negative
N c08633ce 8fb9f87d 7fefffff fffffd3b # 
P 408633ce 8fb9f87e 7ff00000 00000000
P 408633ce 8fb9f87d 7fefffff fffffd3b
P c08633ce 8fb9f87e 7ff00000 00000000
P c08633ce 8fb9f87d 7fefffff fffffd3b
M 408633ce 8fb9f87e 7fefffff ffffffff
M 408633ce 8fb9f87d 7fefffff fffffd3a
M c08633ce 8fb9f87e 7fefffff ffffffff
M c08633ce 8fb9f87d 7fefffff fffffd3a
Z 408633ce 8fb9f87e 7fefffff ffffffff
Z 408633ce 8fb9f87d 7fefffff fffffd3a
Z c08633ce 8fb9f87e 7fefffff ffffffff
Z        c08633ce 8fb9f87d 7fefffff fffffd3a

P 40865294 a5294a53 7ff00000 00000000
M 40865294 a5294a53 7fefffff ffffffff # Thanks to Evgeny Gozdev for this one
Z 40865294 a5294a53 7fefffff ffffffff


# One in five of the very worst cases computed by Lefevre and Muller.
# Rounding these values requires evaluating the function to at least 2^(-100).
# These worst cases have been selected thanks to the filterlists 5 script
# If you want the full list please contact Jean-Michel Muller
Z 0x3FEA371D 0x4786DFEC  0x3FF5AD18 0x63802312  # 8.192278286942360487898895371472e-01
Z 0x3FEA6031 0xCD5F93BA  0x3FF5BFF0 0x41B260FD  # 8.242424975584221602531442840700e-01
Z 0x3F52DE22 0x6A769899  0x3FF00000 0xB1FECCA0  # 1.151593789339189080958569810775e-03
Z 0x3F4169B3 0x43AEFC91  0x3FF00000 0x25E6AE80  # 5.313992800139046403587461675500e-04
Z 0x3F44B18E 0xC239DD1C  0x3FF00000 0x35872EC0  # 6.315180839483766454811597412800e-04
N 0x3F4BAB40 0x6F54DC75  0x3FF00000 0x5FB24533  # 8.443894027213698924919094146446e-04
Z 0x3F337DE2 0x72A6AE0B  0x3FF00000 0x0BDF6C20  # 2.974202967844514068455896715903e-04
Z 0x3F2339B1 0x8635F8F8  0x3FF00000 0x02E33AB5  # 1.466778950138314992907018208257e-04
Z 0x3F237F9B 0xA95B4DC6  0x3FF00000 0x02F8616D  # 1.487615124263609134129537903135e-04
Z 0x3F23BCD3 0xAE3AB7BC  0x3FF00000 0x030B2566  # 1.505859755658848662604465395987e-04
Z 0x3F295FB6 0x93BA6D75  0x3FF00000 0x0507AAE4  # 1.935873386756760199892829499291e-04
Z 0x3F2ACF3A 0xC3B13951  0x3FF00000 0x059D7F60  # 2.045401796259651878030078053783e-04
Z 0x3F14BB56 0xD9865189  0x3FF00000 0x00D6E755  # 7.908551777397443123627379657492e-05
Z 0x3F16BBA6 0x9DE5832D  0x3FF00000 0x01026518  # 8.671955536022615742153957230087e-05
N 0x3F003A2E 0x96D68F7E  0x3FF00000 0x0020EA61  # 3.095106772413226019820958745399e-05
Z 0x3F04A053 0x95D02434  0x3FF00000 0x00352E2E  # 3.934149820145789997784258051894e-05
N 0x3F086E4E 0xEB1477B6  0x3FF00000 0x004A9BCB  # 4.659822787743356047301251932069e-05
Z 0x3F09D470 0x96269363  0x3FF00000 0x005365C8  # 4.926651560602822915507434387017e-05
Z 0x3EF9F568 0x4DC2FE64  0x3FF00000 0x00150ECC  # 2.475607185270372343020156558069e-05
Z 0x3EF57A34 0x0E4654BA  0x3FF00000 0x000E6A37  # 2.048240357195995356648712815151e-05
N 0x3EF61FE4 0xE18E28E2  0x3FF00000 0x000F4BFA  # 2.109964961819692474661105952016e-05
Z 0x3EFA53B9 0xCEB3AAE6  0x3FF00000 0x0015A8E9  # 2.510743517529058710857289837826e-05
Z 0x3EE07FFF 0xFFFFD135  0x3FF00000 0x0002207F  # 7.867813110331269284649681472477e-06
Z 0x3EE4FFFF 0xFFFF9F88  0x3FF00000 0x000371FF  # 1.001358032222378834866921559765e-05
Z 0x3EE67FFF 0xFFFF8959  0x3FF00000 0x0003F47F  # 1.072883605951885524845430125440e-05
Z 0x3EE7FFFF 0xFFFF7000  0x3FF00000 0x00047FFF  # 1.144409179681254995486483494460e-05
Z 0x3EEC7FFF 0xFFFF0EDD  0x3FF00000 0x0006587F  # 1.358985900868448611826608957154e-05
Z 0x3EED855E 0xF7FAF8CC  0x3FF00000 0x0006CEFA  # 1.407670038077977889756295382107e-05
Z 0x3EEDFFFF 0xFFFEE6C0  0x3FF00000 0x000707FF  # 1.430511474597177725559538075117e-05
Z 0x3EEF7FFF 0xFFFEBA6B  0x3FF00000 0x0007C07F  # 1.502037048325723880175860264208e-05
Z 0x3EDDB004 0x4FC30F03  0x3FF00000 0x0001B8AC  # 7.078067252478317224271674862335e-06
N 0x3EDF7010 0x4945433A  0x3FF00000 0x0001EE2A  # 7.495343329403525642882534507638e-06
N 0x3EC853AE 0x1E0B20CB  0x3FF00000 0x000049FA  # 2.899989553693196818023305669221e-06
N 0x3FD0625E 0x9242E3A8  0x3FF086F4 0xE1E148C1  # 2.560039928753732318966740422184e-01
Z 0x3FD17326 0xFFC09F68  0x3FF09931 0x8A43AC80  # 2.726533410627696163430755404988e-01
Z 0x3FD3D27B 0xF16D8BDB  0x3FF0C609 0x1056E069  # 3.097219331449971302383517013368e-01
N 0x3FD5AF6C 0x11C57AB4  0x3FF0ED62 0x0C79AD42  # 3.388319181012022784926784879644e-01
N 0x3FD69F7B 0xEA1FE40D  0x3FF10293 0x4E6AF4B3  # 3.534841333744800917493478209508e-01
N 0x3EB68B02 0xFE890AF9  0x3FF00000 0x00000FE2  # 1.343668367807011348159470544295e-06
Z 0x3EB7FFFF 0xFFFFFDC0  0x3FF00000 0x000011FF  # 1.430511474609253027255595380751e-06
N 0x3EB890A1 0x89F9D370  0x3FF00000 0x000012DC  # 1.464186006131322877665476567266e-06
N 0x3EBA49BE 0xCCF0CAE9  0x3FF00000 0x00001599  # 1.566890933235484920064300475018e-06
Z 0x3EBA92B0 0xF4971C75  0x3FF00000 0x00001611  # 1.583874978160359496247582174189e-06
N 0x3EBC0324 0x6526A33B  0x3FF00000 0x00001886  # 1.669661646811449171292555775092e-06
Z 0x3EB40598 0xD11D7DC6  0x3FF00000 0x00000C86  # 1.193396034847184240676931307745e-06
N 0x3EA0D84A 0x171C74B0  0x3FF00000 0x00000237  # 5.020165600753676748068884960752e-07
Z 0x3EA25F05 0x32C88EDB  0x3FF00000 0x000002A3  # 5.475036224983217207268651992302e-07
N 0x3EA33DEB 0xF093874D  0x3FF00000 0x000002E4  # 5.734527529744384752083256363842e-07
Z 0x3E94975C 0xD5768071  0x3FF00000 0x000000D4  # 3.068336886461663229440507364570e-07
N 0x3E9BF245 0xC71EE658  0x3FF00000 0x00000187  # 4.164334718132620831215675444303e-07
N 0x3E9C2906 0x842B6BCB  0x3FF00000 0x0000018D  # 4.196205091574376845753996650296e-07
Z 0x3E9CABA8 0xAA3D76A4  0x3FF00000 0x0000019A  # 4.272243734249872580043200578914e-07
Z 0x3E803F81 0xF636B809  0x3FF00000 0x00000021  # 1.210576058124893233399990049096e-07
N 0x3E809CFD 0xCD8ED006  0x3FF00000 0x00000022  # 1.237783411580036511136476262002e-07
Z 0x3E8C48C6 0x001F0AB1  0x3FF00000 0x00000064  # 2.107342425544697696760955115194e-07
Z 0x3E84C8DC 0x2E42397A  0x3FF00000 0x00000036  # 1.548574096771069376036078935749e-07
Z 0x3E84F9E6 0xBBC4ECAD  0x3FF00000 0x00000036  # 1.562846970811710471159977154168e-07
Z 0x3E8A13A9 0xCB996645  0x3FF00000 0x00000055  # 1.942873717904877214145928929559e-07
N 0x3E707E0F 0x66AFED06  0x3FF00000 0x00000008  # 6.143906154658883359235969131434e-08
N 0x3E76FA6E 0xA162D0EE  0x3FF00000 0x00000010  # 8.560065398421923577708815122217e-08
N 0x3E72548E 0xB9151E84  0x3FF00000 0x0000000A  # 6.828569911354540200254200667251e-08
Z 0x3E746565 0x5F122FF5  0x3FF00000 0x0000000C  # 7.598131170262073879582309004002e-08
N 0x3E7854BF 0xB363DC37  0x3FF00000 0x00000012  # 9.064022496787037793657685258095e-08
Z 0x3E7C48C6 0x001F0ABC  0x3FF00000 0x00000018  # 1.053671212772350304218355650926e-07
N 0x3E67FFFF 0xFFFFFFFF  0x3FF00000 0x00000004  # 4.470348358154296213255509957578e-08
Z 0x3E694C58 0x3ADA5B52  0x3FF00000 0x00000005  # 4.712160915387241659608264865780e-08
N 0x3E6A8872 0x93FD6F33  0x3FF00000 0x00000005  # 4.942156062059699544151370408616e-08
N 0x3E6CD82B 0x446159F2  0x3FF00000 0x00000006  # 5.372690074837190927221610087586e-08
N 0x3E6EFBDE 0xB14F4ED8  0x3FF00000 0x00000007  # 5.771194914292419155256680211863e-08
Z 0x3FC04602 0x65BB6595  0x3FF02125 0xDA072322  # 1.271365162599919218511246299386e-01
Z 0x3FCA837D 0x832315E3  0x3FF0582F 0xACF5B353  # 2.071377649610176285843721188940e-01
Z 0x3FCBF030 0x5E2C6C37  0x3FF061F4 0xC39E16F2  # 2.182674846488638908947876871025e-01
N 0x3FCCC604 0x3D217BAE  0x3FF067ED 0x033CA8EA  # 2.247929857721521762492500329245e-01
N 0x3FA2AB59 0xE1E984B9  0x3FF002B9 0x2A6FF59E  # 3.646355517117556149786494756881e-02
Z 0x3FA49303 0xC25C4EA4  0x3FF0034E 0xB731C1FB  # 4.018413302960979760491966317204e-02
Z 0x3FA593C4 0x3F3DCAE4  0x3FF003A3 0x4A42EE10  # 4.214299461354700793158656324522e-02
Z 0x3FA944CF 0x384C0F97  0x3FF004FD 0x484C3AAB  # 4.935309946270576703097887616423e-02
N 0x3FAA0CD7 0x537A1987  0x3FF0054D 0x83B962F3  # 5.087921995168458860758775585964e-02
N 0x3FAA593C 0xF5FBF96C  0x3FF0056C 0xCD6F1A7E  # 5.146208288896300664383431922033e-02
Z 0x3FACF861 0x086F8404  0x3FF0068E 0xFF145549  # 5.658248165105564386756498151954e-02
Z 0x3F903EB5 0x17FEF62F  0x3FF00083 0xF3B4F871  # 1.586420973739260595336553194556e-02
N 0x3F9722A9 0x69A7DE31  0x3FF0010B 0xA27B4A0D  # 2.259316165324615557907783625069e-02
Z 0x3F9C81B6 0xE17869E6  0x3FF00196 0x57955466  # 2.783857108270550856365943559467e-02
N 0x3F93CBBE 0x0469C99D  0x3FF000C3 0xF1BDB338  # 1.933190252243265419562767704065e-02
Z 0x3F8379D2 0x2B34A168  0x3FF0002F 0x69FCC33A  # 9.509698813943770479006900586683e-03
N 0x3F84A917 0x2DC745B4  0x3FF00035 0x5B87806D  # 1.008813961462604741337045766159e-02
Z 0x3F8C36A9 0x70E51EBC  0x3FF00063 0x807EB4C2  # 1.377613425996970092368698601604e-02
Z 0x3F725742 0x17DE6F45  0x3FF0000A 0x83197171  # 4.477747132025038274971695528848e-03
Z 0x3F60D471 0xEBFC64F9  0x3FF00002 0x367D21D1  # 2.054426673464445924494059525500e-03
N 0x3F61E14E 0x7B7E7DC6  0x3FF00002 0x7F657F8B  # 2.182629857955228729060603853895e-03
N 0x3F6529E2 0xC5D5AC61  0x3FF00003 0x7FCC3E6A  # 2.583449283226666327167864167791e-03
N 0x3F6A4264 0x6A7DBD23  0x3FF00005 0x631B8884  # 3.205486416781548521942601936985e-03
N 0x3F6F4F3B 0x828FEC86  0x3FF00007 0xA8927B37  # 3.821960669026905170475583162215e-03
N 0x3F6F8484 0xB7CD4154  0x3FF00007 0xC2BA1BE8  # 3.847369398876457693980945862222e-03
Z 0x3FF67FC7 0xC96C1262  0x40014D4A 0x6F5B4E50  # 1.406196390919966621169123754953e+00
N 0x4003E73D 0x00A39464  0x40183D03 0xCF9A8438  # 2.487909321777395987851377867628e+00
N 0x4004E4A5 0x37FA4C71  0x401B63C0 0xB90124A6  # 2.611643254590994889241528653656e+00
Z 0x4005EE88 0xF48C08A5  0x401F2607 0x936AAB74  # 2.741472158931247182778179194429e+00
Z 0x4006374B 0x96712753  0x40202209 0x5F247AA5  # 2.776999640777753963760687838658e+00
Z 0x4006D707 0x1BDCD62A  0x40216E90 0x5141CAE4  # 2.854994027783296139944013702916e+00
N 0x400DF7ED 0x606C6360  0x4035304F 0x1B6A2972  # 3.746058228786225186013325583190e+00
N 0x402FF15F 0xB9C40B06  0x415078BA 0x0FEDCF4B  # 1.597143345373252643071282363962e+01
N 0x40301306 0x5F3561B2  0x415241A8 0x076917CE  # 1.607431597760450614487126586027e+01
N 0x403FF59F 0x1EEB6E2C  0x42C13DA3 0xED2FB031  # 3.195945924041568275697500212118e+01
N 0x4032E182 0xAD682F39  0x4192E345 0x749045B6  # 1.888090022843900683824358566198e+01
Z 0x403EF502 0x9032F670  0x42A94F40 0xE6702C6B  # 3.095707036251263843951164744794e+01
N 0x404088BE 0xFACE97A9  0x42DA20B6 0xCDABBAB4  # 3.306832823836823109786564600654e+01
Z 0x40494925 0x476814E9  0x446F1B76 0xB88F0750  # 5.057145016271699233811887097545e+01
N 0x404A1D3B 0x2F33674E  0x4494632F 0x06B68116  # 5.222836866388261967131256824359e+01
Z 0x404E07E7 0x1BFCF06F  0x45491EC4 0x412C344F  # 6.006174039698168343193174223416e+01
N 0x404F0A1F 0xC4B9F04B  0x45779BA3 0x95AF9010  # 6.207909449652705546895958832465e+01
N 0x405181CC 0xD8144BE7  0x463053D7 0x702A0C15  # 7.002812768919066854778066044673e+01
Z 0x4067945E 0x34B18A9A  0x50E1B0E4 0x936A8C9A  # 1.886364997356038770703889895231e+02
Z 0x406F44C9 0x34FC9053  0x566DA425 0x5C59658D  # 2.501495613987814010670263087377e+02
Z 0x40720468 0x4C1167E9  0x59DDB979 0x7D3D32E7  # 2.882754631690900737339688930660e+02
Z 0x4072DA9E 0x5E6AF0B0  0x5B127D6F 0xE867D6F6  # 3.016636642625189779209904372692e+02
N 0x4074B857 0x492A59EB  0x5DC37BAB 0x2AC649F8  # 3.315213100103707688504073303193e+02
Z 0x40753262 0x7C210D10  0x5E738B3A 0xF1B0B785  # 3.391490441599898986169137060642e+02
N 0x4079CD6B 0x6D99965B  0x65184208 0x270E2E4C  # 4.128387275695328639812942128628e+02
Z 0x407C7206 0xC1B753E4  0x68E8670D 0xE0B68CAC  # 4.551266495858419602882349863648e+02
N 0x407FEE02 0xD3D0EC9A  0x6DF06CCF 0x59E5ED14  # 5.108756902848341496792272664607e+02
Z 0x407F419D 0x873A3F83  0x6CF68546 0x3D30FB68  # 5.001009590411487693017988931388e+02
Z 0x4080BC04 0xAF1B09F5  0x7027B1D9 0x7C902985  # 5.355022871124662060537957586348e+02



# Bad cases generated by crlibm_generate_test_vectors cosh 18 1 
M bf81cc2c a20e0341  3ff00027 9828ea85 # -8.690212913053609392055598448223e-03
P bf81cc2c a20e0341  3ff00027 9828ea86 # -8.690212913053609392055598448223e-03
Z bf81cc2c a20e0341  3ff00027 9828ea85 # -8.690212913053609392055598448223e-03
N 4073a1c2 72a684ca  5c31effa 30012b93 # 3.141099726204525950379320420325e+02
N 3fa4aca5 5df1308c  3ff00356 fa4767da # 4.037968417887424776857585584366e-02
N 40074601 49b27bc7  40226574 b074596f # 2.909182143935570064030571302283e+00
M 3ffdd1ae bb331b6e  400a690e f7cbd4c9 # 1.863692027329047373740422699484e+00
P 3ffdd1ae bb331b6e  400a690e f7cbd4ca # 1.863692027329047373740422699484e+00
Z 3ffdd1ae bb331b6e  400a690e f7cbd4c9 # 1.863692027329047373740422699484e+00
N 3fd4a2fe b906924e  3ff0d6c9 be0d0b04 # 3.224484259501750882392911989882e-01
M bfdaa40c 6f84a7ef  3ff16805 32df7436 # -4.162627305073546835068043492356e-01
P bfdaa40c 6f84a7ef  3ff16805 32df7437 # -4.162627305073546835068043492356e-01
Z bfdaa40c 6f84a7ef  3ff16805 32df7436 # -4.162627305073546835068043492356e-01
M c06b9e31 e713ea74  53cafcd2 5a9301b5 # -2.209435916317921737572760321200e+02
P c06b9e31 e713ea74  53cafcd2 5a9301b6 # -2.209435916317921737572760321200e+02
Z c06b9e31 e713ea74  53cafcd2 5a9301b5 # -2.209435916317921737572760321200e+02
N bfbb8367 596cbaec  3ff017ad aecf6e1b # -1.074738114664161581224277597357e-01
M bff46621 9b3d522f  3ffedd03 0743fca2 # -1.274934393314776093220075381396e+00
P bff46621 9b3d522f  3ffedd03 0743fca3 # -1.274934393314776093220075381396e+00
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