Fix inaccuracy of clog, clog10 near |z| = 1 (bug 13629).

1 files changed, 117 insertions, 0 deletions

diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps
index 71b633a3b4..239da44a79 100644
--- a/sysdeps/i386/fpu/libm-test-ulps
+++ b/sysdeps/i386/fpu/libm-test-ulps
@@ -880,6 +880,12 @@ float: 1
 ifloat: 1
 ildouble: 1
 ldouble: 1
+Test "Real part of: clog (0x0.ffffffffffffffffp0 + 0x0.ffffffffffffffffp-15000 i) == -5.421010862427522170184200798202494495630e-20 + 3.548665303440282824232502561095699343814e-4516 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: clog (0x0.ffffffp0 + 0x0.ffffffp-100 i) == -5.960464655174753498633255797994360530379e-8 + 7.888609052210118054117285652827862296732e-31 i":
+float: 1
+ifloat: 1
 Test "Real part of: clog (0x1.000566p0 + 0x1.234p-10 i) == 8.298731898331237038231468223024422855654e-5 + 1.110938609507128729312743251313024793990e-3 i":
 ildouble: 1
 ldouble: 1
@@ -904,6 +910,9 @@ ldouble: 1
 Test "Real part of: clog (0x1.fp+16383 - 0x1p-16445 i) == 11356.49165759582936919077408168801636572 - 0 i":
 ildouble: 1
 ldouble: 1
+Test "Imaginary part of: clog (0x1367a310575591p-54 + 0x3cfcc0a0541f60p-54 i) == 5.0844550531823026520677817684239496041087e-32 + 1.2627468605458094918919206628466016525397 i":
+ildouble: 1
+ldouble: 1
 Test "Real part of: clog (0x1p-1074 + 0x1p-1074 i) == -744.0934983311012896593986823853525458290 + pi/4 i":
 ildouble: 1
 ldouble: 1
@@ -922,6 +931,9 @@ ldouble: 1
 Test "Real part of: clog (0x1p-16445 - 0x1.fp+16383 i) == 11356.49165759582936919077408168801636572 - pi/2 i":
 ildouble: 1
 ldouble: 1
+Test "Real part of: clog (0x2dd46725bp-35 + 0x7783a1284p-35 i) == 4.4469229730850767799109418892826021157328e-20 + 1.2046235979300843056806465045930070146351 i":
+ildouble: 1
+ldouble: 1
 Test "Real part of: clog (1.0 + 0x1.234566p-10 i) == 6.172834701221959432440126967147726538097e-7 + 1.111110564353742042376451655136933182201e-3 i":
 float: 1
 ifloat: 1
@@ -1068,6 +1080,17 @@ idouble: 1
 ifloat: 1
 ildouble: 1
 ldouble: 1
+Test "Real part of: clog10 (0x0.fffffffffffff8p0 + 0x0.fffffffffffff8p-1000 i) == -4.821637332766435821255375046554377090472e-17 + 4.053112396770095089737411317782466262176e-302 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: clog10 (0x0.ffffffffffffffffp0 + 0x0.ffffffffffffffffp-15000 i) == -2.354315103889861110220423157644627849164e-20 + 1.541165759405643564697852372112893034397e-4516 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: clog10 (0x0.ffffffp0 + 0x0.ffffffp-100 i) == -2.588596909321764128428416045209904492216e-8 + 3.425979381266895667295625489912064603415e-31 i":
+float: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
 Test "Real part of: clog10 (0x1.000566p0 + 0x1.234p-10 i) == 3.604093470239754109961125085078190708674e-5 + 4.824745078422174667425851670822596859720e-4 i":
 ildouble: 1
 ldouble: 1
@@ -1119,6 +1142,29 @@ ldouble: 1
 Test "Real part of: clog10 (0x1.fp+16383 - 0x1p-16445 i) == 4932.061660674182269085496060792589701158 - 0 i":
 ildouble: 1
 ldouble: 1
+Test "Real part of: clog10 (0x10673dd0f2481p-51 + 0x7ef1d17cefbd2p-51 i) == 1.3918041236396763648388478552321724382899e-29 + 0.6263795733790237053262025311642907438291 i":
+double: 1
+idouble: 1
+Test "Imaginary part of: clog10 (0x11682p-23 + 0x7ffed1p-23 i) == 5.0916490233953865181284669870035717560498e-13 + 0.6784968969384861816694467029319146542069 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: clog10 (0x1367a310575591p-54 + 0x3cfcc0a0541f60p-54 i) == 2.2081507730821788480616336165447731164865e-32 + 0.5484039935757001196548030312819898864760 i":
+double: 1
+idouble: 1
+Test "Imaginary part of: clog10 (0x1367a310575591p-54 + 0x3cfcc0a0541f60p-54 i) == 2.2081507730821788480616336165447731164865e-32 + 0.5484039935757001196548030312819898864760 i":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: clog10 (0x164c74eea876p-45 + 0x16f393482f77p-45 i) == -1.3155760824064879362415202279780039150764e-26 + 0.3473590599762514228227328130640352044313 i":
+double: 1
+idouble: 1
+Test "Real part of: clog10 (0x1a6p-10 + 0x3a5p-10 i) == -6.2126412844802358329771948751248003038444e-07 + 0.4977135139537443711784513409096950995985 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: clog10 (0x1a6p-10 + 0x3a5p-10 i) == -6.2126412844802358329771948751248003038444e-07 + 0.4977135139537443711784513409096950995985 i":
+double: 1
+idouble: 1
 Test "Imaginary part of: clog10 (0x1p-1073 + 0x1p-1073 i) == -322.8546703496198318667349645920187712089 + pi/4*log10(e) i":
 double: 1
 idouble: 1
@@ -1199,6 +1245,73 @@ ifloat: 1
 Test "Real part of: clog10 (0x1p-8190 + 1.0 i) == 2.920285685286322365786846845062520925172e-4932 + 6.821881769209206737428918127156778851051e-1 i":
 ildouble: 1
 ldouble: 1
+Test "Real part of: clog10 (0x2818p-15 + 0x798fp-15 i) == 6.6737261053986614395049481326819059203910e-09 + 0.5438241985991753781478398141908629586460 i":
+float: 1
+ifloat: 1
+Test "Imaginary part of: clog10 (0x2818p-15 + 0x798fp-15 i) == 6.6737261053986614395049481326819059203910e-09 + 0.5438241985991753781478398141908629586460 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: clog10 (0x2dd46725bp-35 + 0x7783a1284p-35 i) == 1.9312741086596516918394613098872836703188e-20 + 0.5231613813514771042838490538484014771862 i":
+double: 1
+idouble: 1
+Test "Imaginary part of: clog10 (0x2dd46725bp-35 + 0x7783a1284p-35 i) == 1.9312741086596516918394613098872836703188e-20 + 0.5231613813514771042838490538484014771862 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: clog10 (0x2ede88p-23 + 0x771c3fp-23 i) == -1.9440841725722970687903291200493082253766e-13 + 0.5193774116724956222518530053006822210323 i":
+float: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: clog10 (0x2ede88p-23 + 0x771c3fp-23 i) == -1.9440841725722970687903291200493082253766e-13 + 0.5193774116724956222518530053006822210323 i":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "Real part of: clog10 (0x4447d7175p-35 + 0x6c445e00ap-35 i) == -6.4375803621988389731799033530075237868110e-21 + 0.4378257977686804492768642780897650927167 i":
+double: 1
+idouble: 1
+Test "Imaginary part of: clog10 (0x4447d7175p-35 + 0x6c445e00ap-35 i) == -6.4375803621988389731799033530075237868110e-21 + 0.4378257977686804492768642780897650927167 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: clog10 (0x4d4ep-15 + 0x6605p-15 i) == -7.0781945783414996953799915941870192015212e-09 + 0.4005747524909781155537088181659175147564 i":
+float: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: clog10 (0x5b06b680ea2ccp-52 + 0xef452b965da9fp-52 i) == 3.6079845358966994996207055940336690133424e-30 + 0.5243112258263349992771652393178033846555 i":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: clog10 (0x659b70ab7971bp-53 + 0x1f5d111e08abecp-53 i) == -1.0893543813872082317104059174982092534059e-30 + 0.5954257879188711495921161433751775633232 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: clog10 (0x659feap-24 + 0xeaf6f9p-24 i) == 1.6200701438094619117335617123525612051457e-14 + 0.5049027913635038013499728086604870749732 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: clog10 (0x6b10b4f3520217b6p-64 + 0xe8893cbb449253a1p-64 i) == 1.0529283395205396881397407610630442563938e-37 + 0.4947949395762683446121140513971996916447 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: clog10 (0x81b7efa81fc35ad1p-65 + 0x1ef4b835f1c79d812p-65 i) == -4.3074341162203896332989394770760901408798e-39 + 0.5709443672155660428417571212549720987784 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: clog10 (0x8ecbf810c4ae6p-52 + 0xd479468b09a37p-52 i) == -4.2289432987513243393180377141513840878196e-30 + 0.4252020027092323591068799049905597805296 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: clog10 (0x9b57bp-20 + 0xcb7b4p-20 i) == -1.7182001068739620267773842120965071561416e-11 + 0.3990121149225253562859800593935899629087 i":
+double: 1
+idouble: 1
+Test "Real part of: clog10 (0xf2p-10 + 0x3e3p-10 i) == 2.6921240173351112953324592659528481616879e-06 + 0.5785726025799636431142862788413361783862 i":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: clog10 (0xf2p-10 + 0x3e3p-10 i) == 2.6921240173351112953324592659528481616879e-06 + 0.5785726025799636431142862788413361783862 i":
+double: 1
+idouble: 1
+Test "Imaginary part of: clog10 (0xfe961079616p-45 + 0x1bc37e09e6d1p-45 i) == 2.3329549194675052736016290082882121135546e-26 + 0.4561756099441139182878993697611751382976 i":
+double: 1
+idouble: 1
 Test "Imaginary part of: clog10 (1.0 + 0x1.234566p-10 i) == 2.680828048441605163181684680300513080769e-7 + 4.825491868832381486767558728169977751564e-4 i":
 double: 1
 idouble: 1
@@ -3271,6 +3384,10 @@ ifloat: 1
 ildouble: 1
 ldouble: 1
 
+Function: Imaginary part of "clog":
+ildouble: 1
+ldouble: 1
+
 Function: Real part of "clog10":
 double: 1
 float: 1