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authorJoseph Myers <joseph@codesourcery.com>2013-04-30 11:27:35 +0000
committerJoseph Myers <joseph@codesourcery.com>2013-04-30 11:27:35 +0000
commitcaf84319c1614d8aa867d8db80219f4e9b1bf735 (patch)
tree08263d4ddcdf643fc258daeb43718821a2e2fbde /math/libm-test.inc
parent6dbe713d85fecc1bee99713d745413106af200b7 (diff)
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Fix catan, catanh inaccuracy from atan2 denominators near 0 (bug 15416).
Diffstat (limited to 'math/libm-test.inc')
-rw-r--r--math/libm-test.inc256
1 files changed, 256 insertions, 0 deletions
diff --git a/math/libm-test.inc b/math/libm-test.inc
index b82c592da4..d131ffa6f6 100644
--- a/math/libm-test.inc
+++ b/math/libm-test.inc
@@ -4483,6 +4483,134 @@ catan_test (void)
   TEST_c_c (catan, -0x1.fp16383L, 0x1.fp16383L, -1.570796326794896619231321691639751442099L, 4.338197604015604524209906861060325938836e-4933L, UNDERFLOW_EXCEPTION);
   TEST_c_c (catan, -0x1.fp16383L, -0x1.fp16383L, -1.570796326794896619231321691639751442099L, -4.338197604015604524209906861060325938836e-4933L, UNDERFLOW_EXCEPTION);
 #endif
+  TEST_c_c (catan, 0x1p-13L, 1.0L, 7.854286809755354140031716771044626356262e-1L, 4.852030264850939738801379894163661227127L);
+  TEST_c_c (catan, 0x1p-13L, -1.0L, 7.854286809755354140031716771044626356262e-1L, -4.852030264850939738801379894163661227127L);
+  TEST_c_c (catan, -0x1p-13L, 1.0L, -7.854286809755354140031716771044626356262e-1L, 4.852030264850939738801379894163661227127L);
+  TEST_c_c (catan, -0x1p-13L, -1.0L, -7.854286809755354140031716771044626356262e-1L, -4.852030264850939738801379894163661227127L);
+  TEST_c_c (catan, 1.0L, 0x1p-13L, 7.853981671227386080775748393881580082970e-1L, 6.103515609841754902688560615027452023669e-5L);
+  TEST_c_c (catan, -1.0L, 0x1p-13L, -7.853981671227386080775748393881580082970e-1L, 6.103515609841754902688560615027452023669e-5L);
+  TEST_c_c (catan, 1.0L, -0x1p-13L, 7.853981671227386080775748393881580082970e-1L, -6.103515609841754902688560615027452023669e-5L);
+  TEST_c_c (catan, -1.0L, -0x1p-13L, -7.853981671227386080775748393881580082970e-1L, -6.103515609841754902688560615027452023669e-5L);
+  TEST_c_c (catan, 0x1p-27L, 1.0L, 7.853981652600934588466178684534110069553e-1L, 9.704060527839234335310696652368086117807L);
+  TEST_c_c (catan, 0x1p-27L, -1.0L, 7.853981652600934588466178684534110069553e-1L, -9.704060527839234335310696652368086117807L);
+  TEST_c_c (catan, -0x1p-27L, 1.0L, -7.853981652600934588466178684534110069553e-1L, 9.704060527839234335310696652368086117807L);
+  TEST_c_c (catan, -0x1p-27L, -1.0L, -7.853981652600934588466178684534110069553e-1L, -9.704060527839234335310696652368086117807L);
+  TEST_c_c (catan, 1.0L, 0x1p-27L, 7.853981633974483234934486536343324763447e-1L, 3.725290298461914028034141143623846306386e-9L);
+  TEST_c_c (catan, -1.0L, 0x1p-27L, -7.853981633974483234934486536343324763447e-1L, 3.725290298461914028034141143623846306386e-9L);
+  TEST_c_c (catan, 1.0L, -0x1p-27L, 7.853981633974483234934486536343324763447e-1L, -3.725290298461914028034141143623846306386e-9L);
+  TEST_c_c (catan, -1.0L, -0x1p-27L, -7.853981633974483234934486536343324763447e-1L, -3.725290298461914028034141143623846306386e-9L);
+  TEST_c_c (catan, 0x1p-33L, 1.0L, 7.853981634265521400723945494331241018449e-1L, 1.178350206951907026009379309773625595762e1L);
+  TEST_c_c (catan, 0x1p-33L, -1.0L, 7.853981634265521400723945494331241018449e-1L, -1.178350206951907026009379309773625595762e1L);
+  TEST_c_c (catan, -0x1p-33L, 1.0L, -7.853981634265521400723945494331241018449e-1L, 1.178350206951907026009379309773625595762e1L);
+  TEST_c_c (catan, -0x1p-33L, -1.0L, -7.853981634265521400723945494331241018449e-1L, -1.178350206951907026009379309773625595762e1L);
+  TEST_c_c (catan, 1.0L, 0x1p-33L, 7.853981633974483096190489776088929224056e-1L, 5.820766091346740722643102318246316469910e-11L);
+  TEST_c_c (catan, -1.0L, 0x1p-33L, -7.853981633974483096190489776088929224056e-1L, 5.820766091346740722643102318246316469910e-11L);
+  TEST_c_c (catan, 1.0L, -0x1p-33L, 7.853981633974483096190489776088929224056e-1L, -5.820766091346740722643102318246316469910e-11L);
+  TEST_c_c (catan, -1.0L, -0x1p-33L, -7.853981633974483096190489776088929224056e-1L, -5.820766091346740722643102318246316469910e-11L);
+  TEST_c_c (catan, 0x1p-54L, 1.0L, 7.853981633974483234934486536343324763447e-1L, 1.906154746539849600897388334009985581467e1L);
+  TEST_c_c (catan, 0x1p-54L, -1.0L, 7.853981633974483234934486536343324763447e-1L, -1.906154746539849600897388334009985581467e1L);
+  TEST_c_c (catan, -0x1p-54L, 1.0L, -7.853981633974483234934486536343324763447e-1L, 1.906154746539849600897388334009985581467e1L);
+  TEST_c_c (catan, -0x1p-54L, -1.0L, -7.853981633974483234934486536343324763447e-1L, -1.906154746539849600897388334009985581467e1L);
+  TEST_c_c (catan, 1.0L, 0x1p-54L, 7.853981633974483096156608458198764914213e-1L, 2.775557561562891351059079170227049355775e-17L);
+  TEST_c_c (catan, -1.0L, 0x1p-54L, -7.853981633974483096156608458198764914213e-1L, 2.775557561562891351059079170227049355775e-17L);
+  TEST_c_c (catan, 1.0L, -0x1p-54L, 7.853981633974483096156608458198764914213e-1L, -2.775557561562891351059079170227049355775e-17L);
+  TEST_c_c (catan, -1.0L, -0x1p-54L, -7.853981633974483096156608458198764914213e-1L, -2.775557561562891351059079170227049355775e-17L);
+  TEST_c_c (catan, 0x1p-57L, 1.0L, 7.853981633974483113503843217966828154612e-1L, 2.010126823623841397309973152228712047720e1L);
+  TEST_c_c (catan, 0x1p-57L, -1.0L, 7.853981633974483113503843217966828154612e-1L, -2.010126823623841397309973152228712047720e1L);
+  TEST_c_c (catan, -0x1p-57L, 1.0L, -7.853981633974483113503843217966828154612e-1L, 2.010126823623841397309973152228712047720e1L);
+  TEST_c_c (catan, -0x1p-57L, -1.0L, -7.853981633974483113503843217966828154612e-1L, -2.010126823623841397309973152228712047720e1L);
+  TEST_c_c (catan, 1.0L, 0x1p-57L, 7.853981633974483096156608458198757330864e-1L, 3.469446951953614188823848962783813448721e-18L);
+  TEST_c_c (catan, -1.0L, 0x1p-57L, -7.853981633974483096156608458198757330864e-1L, 3.469446951953614188823848962783813448721e-18L);
+  TEST_c_c (catan, 1.0L, -0x1p-57L, 7.853981633974483096156608458198757330864e-1L, -3.469446951953614188823848962783813448721e-18L);
+  TEST_c_c (catan, -1.0L, -0x1p-57L, -7.853981633974483096156608458198757330864e-1L, -3.469446951953614188823848962783813448721e-18L);
+  TEST_c_c (catan, 0x1p-13L, 0x1.000002p0L, 7.859169620684960844300240092596908675974e-1L, 4.852030056234795712498957387213592193975L);
+  TEST_c_c (catan, 0x1p-13L, -0x1.000002p0L, 7.859169620684960844300240092596908675974e-1L, -4.852030056234795712498957387213592193975L);
+  TEST_c_c (catan, -0x1p-13L, 0x1.000002p0L, -7.859169620684960844300240092596908675974e-1L, 4.852030056234795712498957387213592193975L);
+  TEST_c_c (catan, -0x1p-13L, -0x1.000002p0L, -7.859169620684960844300240092596908675974e-1L, -4.852030056234795712498957387213592193975L);
+  TEST_c_c (catan, 0x1.000002p0L, 0x1p-13L, 7.853982267273793866654490522673596014524e-1L, 6.103514882246036852433556327261700380577e-5L);
+  TEST_c_c (catan, -0x1.000002p0L, 0x1p-13L, -7.853982267273793866654490522673596014524e-1L, 6.103514882246036852433556327261700380577e-5L);
+  TEST_c_c (catan, 0x1.000002p0L, -0x1p-13L, 7.853982267273793866654490522673596014524e-1L, -6.103514882246036852433556327261700380577e-5L);
+  TEST_c_c (catan, -0x1.000002p0L, -0x1p-13L, -7.853982267273793866654490522673596014524e-1L, -6.103514882246036852433556327261700380577e-5L);
+  TEST_c_c (catan, 0x1p-13L, 0x0.ffffffp0L, 7.851845403708474595909269086711426246675e-1L, 4.852030190345140708455871037447717761868L);
+  TEST_c_c (catan, 0x1p-13L, -0x0.ffffffp0L, 7.851845403708474595909269086711426246675e-1L, -4.852030190345140708455871037447717761868L);
+  TEST_c_c (catan, -0x1p-13L, 0x0.ffffffp0L, -7.851845403708474595909269086711426246675e-1L, 4.852030190345140708455871037447717761868L);
+  TEST_c_c (catan, -0x1p-13L, -0x0.ffffffp0L, -7.851845403708474595909269086711426246675e-1L, -4.852030190345140708455871037447717761868L);
+  TEST_c_c (catan, 0x0.ffffffp0L, 0x1p-13L, 7.853981373204155542484315721351697277336e-1L, 6.103515973639646453881721999956617260502e-5L);
+  TEST_c_c (catan, -0x0.ffffffp0L, 0x1p-13L, -7.853981373204155542484315721351697277336e-1L, 6.103515973639646453881721999956617260502e-5L);
+  TEST_c_c (catan, 0x0.ffffffp0L, -0x1p-13L, 7.853981373204155542484315721351697277336e-1L, -6.103515973639646453881721999956617260502e-5L);
+  TEST_c_c (catan, -0x0.ffffffp0L, -0x1p-13L, -7.853981373204155542484315721351697277336e-1L, -6.103515973639646453881721999956617260502e-5L);
+#ifndef TEST_FLOAT
+  TEST_c_c (catan, 0x1p-27L, 0x1.0000000000001p0L, 7.853981801612546526942695000283242525531e-1L, 9.704060527839234168777242958594699810015L);
+  TEST_c_c (catan, 0x1p-27L, -0x1.0000000000001p0L, 7.853981801612546526942695000283242525531e-1L, -9.704060527839234168777242958594699810015L);
+  TEST_c_c (catan, -0x1p-27L, 0x1.0000000000001p0L, -7.853981801612546526942695000283242525531e-1L, 9.704060527839234168777242958594699810015L);
+  TEST_c_c (catan, -0x1p-27L, -0x1.0000000000001p0L, -7.853981801612546526942695000283242525531e-1L, -9.704060527839234168777242958594699810015L);
+  TEST_c_c (catan, 0x1.0000000000001p0L, 0x1p-27L, 7.853981633974484345157511161499711112683e-1L, 3.725290298461913200853528590596263270474e-9L);
+  TEST_c_c (catan, -0x1.0000000000001p0L, 0x1p-27L, -7.853981633974484345157511161499711112683e-1L, 3.725290298461913200853528590596263270474e-9L);
+  TEST_c_c (catan, 0x1.0000000000001p0L, -0x1p-27L, 7.853981633974484345157511161499711112683e-1L, -3.725290298461913200853528590596263270474e-9L);
+  TEST_c_c (catan, -0x1.0000000000001p0L, -0x1p-27L, -7.853981633974484345157511161499711112683e-1L, -3.725290298461913200853528590596263270474e-9L);
+  TEST_c_c (catan, 0x1p-27L, 0x0.fffffffffffff8p0L, 7.853981578095128619227903983047292781021e-1L, 9.704060527839234252043969805481351363824L);
+  TEST_c_c (catan, 0x1p-27L, -0x0.fffffffffffff8p0L, 7.853981578095128619227903983047292781021e-1L, -9.704060527839234252043969805481351363824L);
+  TEST_c_c (catan, -0x1p-27L, 0x0.fffffffffffff8p0L, -7.853981578095128619227903983047292781021e-1L, 9.704060527839234252043969805481351363824L);
+  TEST_c_c (catan, -0x1p-27L, -0x0.fffffffffffff8p0L, -7.853981578095128619227903983047292781021e-1L, -9.704060527839234252043969805481351363824L);
+  TEST_c_c (catan, 0x0.fffffffffffff8p0L, 0x1p-27L, 7.853981633974482679822974223765039144191e-1L, 3.725290298461914441624447420137706700965e-9L);
+  TEST_c_c (catan, -0x0.fffffffffffff8p0L, 0x1p-27L, -7.853981633974482679822974223765039144191e-1L, 3.725290298461914441624447420137706700965e-9L);
+  TEST_c_c (catan, 0x0.fffffffffffff8p0L, -0x1p-27L, 7.853981633974482679822974223765039144191e-1L, -3.725290298461914441624447420137706700965e-9L);
+  TEST_c_c (catan, -0x0.fffffffffffff8p0L, -0x1p-27L, -7.853981633974482679822974223765039144191e-1L, -3.725290298461914441624447420137706700965e-9L);
+#endif
+#if defined TEST_LDOUBLE && LDBL_MANT_DIG >= 64
+  TEST_c_c (catan, 0x1p-33L, 0x1.0000000000000002p0L, 7.853981638922134273801338071094141188767e-1L, 1.178350206951907025990405771755129268176e1L);
+  TEST_c_c (catan, 0x1p-33L, -0x1.0000000000000002p0L, 7.853981638922134273801338071094141188767e-1L, -1.178350206951907025990405771755129268176e1L);
+  TEST_c_c (catan, -0x1p-33L, 0x1.0000000000000002p0L, -7.853981638922134273801338071094141188767e-1L, 1.178350206951907025990405771755129268176e1L);
+  TEST_c_c (catan, -0x1p-33L, -0x1.0000000000000002p0L, -7.853981638922134273801338071094141188767e-1L, -1.178350206951907025990405771755129268176e1L);
+  TEST_c_c (catan, 0x1.0000000000000002p0L, 0x1p-33L, 7.853981633974483096732590862331681441026e-1L, 5.820766091346740722012013594069507025615e-11L);
+  TEST_c_c (catan, -0x1.0000000000000002p0L, 0x1p-33L, -7.853981633974483096732590862331681441026e-1L, 5.820766091346740722012013594069507025615e-11L);
+  TEST_c_c (catan, 0x1.0000000000000002p0L, -0x1p-33L, 7.853981633974483096732590862331681441026e-1L, -5.820766091346740722012013594069507025615e-11L);
+  TEST_c_c (catan, -0x1.0000000000000002p0L, -0x1p-33L, -7.853981633974483096732590862331681441026e-1L, -5.820766091346740722012013594069507025615e-11L);
+  TEST_c_c (catan, 0x1p-33L, 0x0.ffffffffffffffffp0L, 7.853981631937214964185249205444919953948e-1L, 1.178350206951907026002603046195591193050e1L);
+  TEST_c_c (catan, 0x1p-33L, -0x0.ffffffffffffffffp0L, 7.853981631937214964185249205444919953948e-1L, -1.178350206951907026002603046195591193050e1L);
+  TEST_c_c (catan, -0x1p-33L, 0x0.ffffffffffffffffp0L, -7.853981631937214964185249205444919953948e-1L, 1.178350206951907026002603046195591193050e1L);
+  TEST_c_c (catan, -0x1p-33L, -0x0.ffffffffffffffffp0L, -7.853981631937214964185249205444919953948e-1L, -1.178350206951907026002603046195591193050e1L);
+  TEST_c_c (catan, 0x0.ffffffffffffffffp0L, 0x1p-33L, 7.853981633974483095919439232967553115548e-1L, 5.820766091346740722958646680334721192083e-11L);
+  TEST_c_c (catan, -0x0.ffffffffffffffffp0L, 0x1p-33L, -7.853981633974483095919439232967553115548e-1L, 5.820766091346740722958646680334721192083e-11L);
+  TEST_c_c (catan, 0x0.ffffffffffffffffp0L, -0x1p-33L, 7.853981633974483095919439232967553115548e-1L, -5.820766091346740722958646680334721192083e-11L);
+  TEST_c_c (catan, -0x0.ffffffffffffffffp0L, -0x1p-33L, -7.853981633974483095919439232967553115548e-1L, -5.820766091346740722958646680334721192083e-11L);
+#endif
+#if defined TEST_LDOUBLE && LDBL_MANT_DIG >= 106
+  TEST_c_c (catan, 0x1p-54L, 0x1.000000000000000000000000008p0L, 7.853981633974485455380535786656405610710e-1L, 1.906154746539849600897388334009981267384e1L);
+  TEST_c_c (catan, 0x1p-54L, -0x1.000000000000000000000000008p0L, 7.853981633974485455380535786656405610710e-1L, -1.906154746539849600897388334009981267384e1L);
+  TEST_c_c (catan, -0x1p-54L, 0x1.000000000000000000000000008p0L, -7.853981633974485455380535786656405610710e-1L, 1.906154746539849600897388334009981267384e1L);
+  TEST_c_c (catan, -0x1p-54L, -0x1.000000000000000000000000008p0L, -7.853981633974485455380535786656405610710e-1L, -1.906154746539849600897388334009981267384e1L);
+  TEST_c_c (catan, 0x1.000000000000000000000000008p0L, 0x1p-54L, 7.853981633974483096156608458198888173729e-1L, 2.775557561562891351059079170226980932999e-17L);
+  TEST_c_c (catan, -0x1.000000000000000000000000008p0L, 0x1p-54L, -7.853981633974483096156608458198888173729e-1L, 2.775557561562891351059079170226980932999e-17L);
+  TEST_c_c (catan, 0x1.000000000000000000000000008p0L, -0x1p-54L, 7.853981633974483096156608458198888173729e-1L, -2.775557561562891351059079170226980932999e-17L);
+  TEST_c_c (catan, -0x1.000000000000000000000000008p0L, -0x1p-54L, -7.853981633974483096156608458198888173729e-1L, -2.775557561562891351059079170226980932999e-17L);
+  TEST_c_c (catan, 0x1p-54L, 0x0.ffffffffffffffffffffffffffcp0L, 7.853981633974482124711461911186784339815e-1L, 1.906154746539849600897388334009984040723e1L);
+  TEST_c_c (catan, 0x1p-54L, -0x0.ffffffffffffffffffffffffffcp0L, 7.853981633974482124711461911186784339815e-1L, -1.906154746539849600897388334009984040723e1L);
+  TEST_c_c (catan, -0x1p-54L, 0x0.ffffffffffffffffffffffffffcp0L, -7.853981633974482124711461911186784339815e-1L, 1.906154746539849600897388334009984040723e1L);
+  TEST_c_c (catan, -0x1p-54L, -0x0.ffffffffffffffffffffffffffcp0L, -7.853981633974482124711461911186784339815e-1L, -1.906154746539849600897388334009984040723e1L);
+  TEST_c_c (catan, 0x0.ffffffffffffffffffffffffffcp0L, 0x1p-54L, 7.853981633974483096156608458198703284454e-1L, 2.775557561562891351059079170227083567164e-17L);
+  TEST_c_c (catan, -0x0.ffffffffffffffffffffffffffcp0L, 0x1p-54L, -7.853981633974483096156608458198703284454e-1L, 2.775557561562891351059079170227083567164e-17L);
+  TEST_c_c (catan, 0x0.ffffffffffffffffffffffffffcp0L, -0x1p-54L, 7.853981633974483096156608458198703284454e-1L, -2.775557561562891351059079170227083567164e-17L);
+  TEST_c_c (catan, -0x0.ffffffffffffffffffffffffffcp0L, -0x1p-54L, -7.853981633974483096156608458198703284454e-1L, -2.775557561562891351059079170227083567164e-17L);
+#endif
+#if defined TEST_LDOUBLE && LDBL_MANT_DIG >= 113
+  TEST_c_c (catan, 0x1p-57L, 0x1.0000000000000000000000000001p0L, 7.853981633974483252281721296111395707566e-1L, 2.010126823623841397309973152228712033275e1L);
+  TEST_c_c (catan, 0x1p-57L, -0x1.0000000000000000000000000001p0L, 7.853981633974483252281721296111395707566e-1L, -2.010126823623841397309973152228712033275e1L);
+  TEST_c_c (catan, -0x1p-57L, 0x1.0000000000000000000000000001p0L, -7.853981633974483252281721296111395707566e-1L, 2.010126823623841397309973152228712033275e1L);
+  TEST_c_c (catan, -0x1p-57L, -0x1.0000000000000000000000000001p0L, -7.853981633974483252281721296111395707566e-1L, -2.010126823623841397309973152228712033275e1L);
+  TEST_c_c (catan, 0x1.0000000000000000000000000001p0L, 0x1p-57L, 7.853981633974483096156608458198758293829e-1L, 3.469446951953614188823848962783812780530e-18L);
+  TEST_c_c (catan, -0x1.0000000000000000000000000001p0L, 0x1p-57L, -7.853981633974483096156608458198758293829e-1L, 3.469446951953614188823848962783812780530e-18L);
+  TEST_c_c (catan, 0x1.0000000000000000000000000001p0L, -0x1p-57L, 7.853981633974483096156608458198758293829e-1L, -3.469446951953614188823848962783812780530e-18L);
+  TEST_c_c (catan, -0x1.0000000000000000000000000001p0L, -0x1p-57L, -7.853981633974483096156608458198758293829e-1L, -3.469446951953614188823848962783812780530e-18L);
+  TEST_c_c (catan, 0x1p-57L, 0x0.ffffffffffffffffffffffffffff8p0L, 7.853981633974483044114904178894544378135e-1L, 2.010126823623841397309973152228712040498e1L);
+  TEST_c_c (catan, 0x1p-57L, -0x0.ffffffffffffffffffffffffffff8p0L, 7.853981633974483044114904178894544378135e-1L, -2.010126823623841397309973152228712040498e1L);
+  TEST_c_c (catan, -0x1p-57L, 0x0.ffffffffffffffffffffffffffff8p0L, -7.853981633974483044114904178894544378135e-1L, 2.010126823623841397309973152228712040498e1L);
+  TEST_c_c (catan, -0x1p-57L, -0x0.ffffffffffffffffffffffffffff8p0L, -7.853981633974483044114904178894544378135e-1L, -2.010126823623841397309973152228712040498e1L);
+  TEST_c_c (catan, 0x0.ffffffffffffffffffffffffffff8p0L, 0x1p-57L, 7.853981633974483096156608458198756849381e-1L, 3.469446951953614188823848962783813782817e-18L);
+  TEST_c_c (catan, -0x0.ffffffffffffffffffffffffffff8p0L, 0x1p-57L, -7.853981633974483096156608458198756849381e-1L, 3.469446951953614188823848962783813782817e-18L);
+  TEST_c_c (catan, 0x0.ffffffffffffffffffffffffffff8p0L, -0x1p-57L, 7.853981633974483096156608458198756849381e-1L, -3.469446951953614188823848962783813782817e-18L);
+  TEST_c_c (catan, -0x0.ffffffffffffffffffffffffffff8p0L, -0x1p-57L, -7.853981633974483096156608458198756849381e-1L, -3.469446951953614188823848962783813782817e-18L);
+#endif
 
   TEST_c_c (catan, 0.75L, 1.25L, 1.10714871779409050301706546017853704L, 0.549306144334054845697622618461262852L);
   TEST_c_c (catan, -2, -3, -1.4099210495965755225306193844604208L, -0.22907268296853876629588180294200276L);
@@ -4679,6 +4807,134 @@ catanh_test (void)
   TEST_c_c (catanh, -0x1.fp16383L, 0x1.fp16383L, -4.338197604015604524209906861060325938836e-4933L, 1.570796326794896619231321691639751442099L, UNDERFLOW_EXCEPTION);
   TEST_c_c (catanh, -0x1.fp16383L, -0x1.fp16383L, -4.338197604015604524209906861060325938836e-4933L, -1.570796326794896619231321691639751442099L, UNDERFLOW_EXCEPTION);
 #endif
+  TEST_c_c (catanh, 0x1p-13L, 1.0L, 6.103515609841754902688560615027452023669e-5L, 7.853981671227386080775748393881580082970e-1L);
+  TEST_c_c (catanh, 0x1p-13L, -1.0L, 6.103515609841754902688560615027452023669e-5L, -7.853981671227386080775748393881580082970e-1L);
+  TEST_c_c (catanh, -0x1p-13L, 1.0L, -6.103515609841754902688560615027452023669e-5L, 7.853981671227386080775748393881580082970e-1L);
+  TEST_c_c (catanh, -0x1p-13L, -1.0L, -6.103515609841754902688560615027452023669e-5L, -7.853981671227386080775748393881580082970e-1L);
+  TEST_c_c (catanh, 1.0L, 0x1p-13L, 4.852030264850939738801379894163661227127L, 7.854286809755354140031716771044626356262e-1L);
+  TEST_c_c (catanh, -1.0L, 0x1p-13L, -4.852030264850939738801379894163661227127L, 7.854286809755354140031716771044626356262e-1L);
+  TEST_c_c (catanh, 1.0L, -0x1p-13L, 4.852030264850939738801379894163661227127L, -7.854286809755354140031716771044626356262e-1L);
+  TEST_c_c (catanh, -1.0L, -0x1p-13L, -4.852030264850939738801379894163661227127L, -7.854286809755354140031716771044626356262e-1L);
+  TEST_c_c (catanh, 0x1p-27L, 1.0L, 3.725290298461914028034141143623846306386e-9L, 7.853981633974483234934486536343324763447e-1L);
+  TEST_c_c (catanh, 0x1p-27L, -1.0L, 3.725290298461914028034141143623846306386e-9L, -7.853981633974483234934486536343324763447e-1L);
+  TEST_c_c (catanh, -0x1p-27L, 1.0L, -3.725290298461914028034141143623846306386e-9L, 7.853981633974483234934486536343324763447e-1L);
+  TEST_c_c (catanh, -0x1p-27L, -1.0L, -3.725290298461914028034141143623846306386e-9L, -7.853981633974483234934486536343324763447e-1L);
+  TEST_c_c (catanh, 1.0L, 0x1p-27L, 9.704060527839234335310696652368086117807L, 7.853981652600934588466178684534110069553e-1L);
+  TEST_c_c (catanh, -1.0L, 0x1p-27L, -9.704060527839234335310696652368086117807L, 7.853981652600934588466178684534110069553e-1L);
+  TEST_c_c (catanh, 1.0L, -0x1p-27L, 9.704060527839234335310696652368086117807L, -7.853981652600934588466178684534110069553e-1L);
+  TEST_c_c (catanh, -1.0L, -0x1p-27L, -9.704060527839234335310696652368086117807L, -7.853981652600934588466178684534110069553e-1L);
+  TEST_c_c (catanh, 0x1p-33L, 1.0L, 5.820766091346740722643102318246316469910e-11L, 7.853981633974483096190489776088929224056e-1L);
+  TEST_c_c (catanh, 0x1p-33L, -1.0L, 5.820766091346740722643102318246316469910e-11L, -7.853981633974483096190489776088929224056e-1L);
+  TEST_c_c (catanh, -0x1p-33L, 1.0L, -5.820766091346740722643102318246316469910e-11L, 7.853981633974483096190489776088929224056e-1L);
+  TEST_c_c (catanh, -0x1p-33L, -1.0L, -5.820766091346740722643102318246316469910e-11L, -7.853981633974483096190489776088929224056e-1L);
+  TEST_c_c (catanh, 1.0L, 0x1p-33L, 1.178350206951907026009379309773625595762e1L, 7.853981634265521400723945494331241018449e-1L);
+  TEST_c_c (catanh, -1.0L, 0x1p-33L, -1.178350206951907026009379309773625595762e1L, 7.853981634265521400723945494331241018449e-1L);
+  TEST_c_c (catanh, 1.0L, -0x1p-33L, 1.178350206951907026009379309773625595762e1L, -7.853981634265521400723945494331241018449e-1L);
+  TEST_c_c (catanh, -1.0L, -0x1p-33L, -1.178350206951907026009379309773625595762e1L, -7.853981634265521400723945494331241018449e-1L);
+  TEST_c_c (catanh, 0x1p-54L, 1.0L, 2.775557561562891351059079170227049355775e-17L, 7.853981633974483096156608458198764914213e-1L);
+  TEST_c_c (catanh, 0x1p-54L, -1.0L, 2.775557561562891351059079170227049355775e-17L, -7.853981633974483096156608458198764914213e-1L);
+  TEST_c_c (catanh, -0x1p-54L, 1.0L, -2.775557561562891351059079170227049355775e-17L, 7.853981633974483096156608458198764914213e-1L);
+  TEST_c_c (catanh, -0x1p-54L, -1.0L, -2.775557561562891351059079170227049355775e-17L, -7.853981633974483096156608458198764914213e-1L);
+  TEST_c_c (catanh, 1.0L, 0x1p-54L, 1.906154746539849600897388334009985581467e1L, 7.853981633974483234934486536343324763447e-1L);
+  TEST_c_c (catanh, -1.0L, 0x1p-54L, -1.906154746539849600897388334009985581467e1L, 7.853981633974483234934486536343324763447e-1L);
+  TEST_c_c (catanh, 1.0L, -0x1p-54L, 1.906154746539849600897388334009985581467e1L, -7.853981633974483234934486536343324763447e-1L);
+  TEST_c_c (catanh, -1.0L, -0x1p-54L, -1.906154746539849600897388334009985581467e1L, -7.853981633974483234934486536343324763447e-1L);
+  TEST_c_c (catanh, 0x1p-57L, 1.0L, 3.469446951953614188823848962783813448721e-18L, 7.853981633974483096156608458198757330864e-1L);
+  TEST_c_c (catanh, 0x1p-57L, -1.0L, 3.469446951953614188823848962783813448721e-18L, -7.853981633974483096156608458198757330864e-1L);
+  TEST_c_c (catanh, -0x1p-57L, 1.0L, -3.469446951953614188823848962783813448721e-18L, 7.853981633974483096156608458198757330864e-1L);
+  TEST_c_c (catanh, -0x1p-57L, -1.0L, -3.469446951953614188823848962783813448721e-18L, -7.853981633974483096156608458198757330864e-1L);
+  TEST_c_c (catanh, 1.0L, 0x1p-57L, 2.010126823623841397309973152228712047720e1L, 7.853981633974483113503843217966828154612e-1L);
+  TEST_c_c (catanh, -1.0L, 0x1p-57L, -2.010126823623841397309973152228712047720e1L, 7.853981633974483113503843217966828154612e-1L);
+  TEST_c_c (catanh, 1.0L, -0x1p-57L, 2.010126823623841397309973152228712047720e1L, -7.853981633974483113503843217966828154612e-1L);
+  TEST_c_c (catanh, -1.0L, -0x1p-57L, -2.010126823623841397309973152228712047720e1L, -7.853981633974483113503843217966828154612e-1L);
+  TEST_c_c (catanh, 0x1p-13L, 0x1.000002p0L, 6.103514882246036852433556327261700380577e-5L, 7.853982267273793866654490522673596014524e-1L);
+  TEST_c_c (catanh, 0x1p-13L, -0x1.000002p0L, 6.103514882246036852433556327261700380577e-5L, -7.853982267273793866654490522673596014524e-1L);
+  TEST_c_c (catanh, -0x1p-13L, 0x1.000002p0L, -6.103514882246036852433556327261700380577e-5L, 7.853982267273793866654490522673596014524e-1L);
+  TEST_c_c (catanh, -0x1p-13L, -0x1.000002p0L, -6.103514882246036852433556327261700380577e-5L, -7.853982267273793866654490522673596014524e-1L);
+  TEST_c_c (catanh, 0x1.000002p0L, 0x1p-13L, 4.852030056234795712498957387213592193975L, 7.859169620684960844300240092596908675974e-1L);
+  TEST_c_c (catanh, -0x1.000002p0L, 0x1p-13L, -4.852030056234795712498957387213592193975L, 7.859169620684960844300240092596908675974e-1L);
+  TEST_c_c (catanh, 0x1.000002p0L, -0x1p-13L, 4.852030056234795712498957387213592193975L, -7.859169620684960844300240092596908675974e-1L);
+  TEST_c_c (catanh, -0x1.000002p0L, -0x1p-13L, -4.852030056234795712498957387213592193975L, -7.859169620684960844300240092596908675974e-1L);
+  TEST_c_c (catanh, 0x1p-13L, 0x0.ffffffp0L, 6.103515973639646453881721999956617260502e-5L, 7.853981373204155542484315721351697277336e-1L);
+  TEST_c_c (catanh, 0x1p-13L, -0x0.ffffffp0L, 6.103515973639646453881721999956617260502e-5L, -7.853981373204155542484315721351697277336e-1L);
+  TEST_c_c (catanh, -0x1p-13L, 0x0.ffffffp0L, -6.103515973639646453881721999956617260502e-5L, 7.853981373204155542484315721351697277336e-1L);
+  TEST_c_c (catanh, -0x1p-13L, -0x0.ffffffp0L, -6.103515973639646453881721999956617260502e-5L, -7.853981373204155542484315721351697277336e-1L);
+  TEST_c_c (catanh, 0x0.ffffffp0L, 0x1p-13L, 4.852030190345140708455871037447717761868L, 7.851845403708474595909269086711426246675e-1L);
+  TEST_c_c (catanh, -0x0.ffffffp0L, 0x1p-13L, -4.852030190345140708455871037447717761868L, 7.851845403708474595909269086711426246675e-1L);
+  TEST_c_c (catanh, 0x0.ffffffp0L, -0x1p-13L, 4.852030190345140708455871037447717761868L, -7.851845403708474595909269086711426246675e-1L);
+  TEST_c_c (catanh, -0x0.ffffffp0L, -0x1p-13L, -4.852030190345140708455871037447717761868L, -7.851845403708474595909269086711426246675e-1L);
+#ifndef TEST_FLOAT
+  TEST_c_c (catanh, 0x1p-27L, 0x1.0000000000001p0L, 3.725290298461913200853528590596263270474e-9L, 7.853981633974484345157511161499711112683e-1L);
+  TEST_c_c (catanh, 0x1p-27L, -0x1.0000000000001p0L, 3.725290298461913200853528590596263270474e-9L, -7.853981633974484345157511161499711112683e-1L);
+  TEST_c_c (catanh, -0x1p-27L, 0x1.0000000000001p0L, -3.725290298461913200853528590596263270474e-9L, 7.853981633974484345157511161499711112683e-1L);
+  TEST_c_c (catanh, -0x1p-27L, -0x1.0000000000001p0L, -3.725290298461913200853528590596263270474e-9L, -7.853981633974484345157511161499711112683e-1L);
+  TEST_c_c (catanh, 0x1.0000000000001p0L, 0x1p-27L, 9.704060527839234168777242958594699810015L, 7.853981801612546526942695000283242525531e-1L);
+  TEST_c_c (catanh, -0x1.0000000000001p0L, 0x1p-27L, -9.704060527839234168777242958594699810015L, 7.853981801612546526942695000283242525531e-1L);
+  TEST_c_c (catanh, 0x1.0000000000001p0L, -0x1p-27L, 9.704060527839234168777242958594699810015L, -7.853981801612546526942695000283242525531e-1L);
+  TEST_c_c (catanh, -0x1.0000000000001p0L, -0x1p-27L, -9.704060527839234168777242958594699810015L, -7.853981801612546526942695000283242525531e-1L);
+  TEST_c_c (catanh, 0x1p-27L, 0x0.fffffffffffff8p0L, 3.725290298461914441624447420137706700965e-9L, 7.853981633974482679822974223765039144191e-1L);
+  TEST_c_c (catanh, 0x1p-27L, -0x0.fffffffffffff8p0L, 3.725290298461914441624447420137706700965e-9L, -7.853981633974482679822974223765039144191e-1L);
+  TEST_c_c (catanh, -0x1p-27L, 0x0.fffffffffffff8p0L, -3.725290298461914441624447420137706700965e-9L, 7.853981633974482679822974223765039144191e-1L);
+  TEST_c_c (catanh, -0x1p-27L, -0x0.fffffffffffff8p0L, -3.725290298461914441624447420137706700965e-9L, -7.853981633974482679822974223765039144191e-1L);
+  TEST_c_c (catanh, 0x0.fffffffffffff8p0L, 0x1p-27L, 9.704060527839234252043969805481351363824L, 7.853981578095128619227903983047292781021e-1L);
+  TEST_c_c (catanh, -0x0.fffffffffffff8p0L, 0x1p-27L, -9.704060527839234252043969805481351363824L, 7.853981578095128619227903983047292781021e-1L);
+  TEST_c_c (catanh, 0x0.fffffffffffff8p0L, -0x1p-27L, 9.704060527839234252043969805481351363824L, -7.853981578095128619227903983047292781021e-1L);
+  TEST_c_c (catanh, -0x0.fffffffffffff8p0L, -0x1p-27L, -9.704060527839234252043969805481351363824L, -7.853981578095128619227903983047292781021e-1L);
+#endif
+#if defined TEST_LDOUBLE && LDBL_MANT_DIG >= 64
+  TEST_c_c (catanh, 0x1p-33L, 0x1.0000000000000002p0L, 5.820766091346740722012013594069507025615e-11L, 7.853981633974483096732590862331681441026e-1L);
+  TEST_c_c (catanh, 0x1p-33L, -0x1.0000000000000002p0L, 5.820766091346740722012013594069507025615e-11L, -7.853981633974483096732590862331681441026e-1L);
+  TEST_c_c (catanh, -0x1p-33L, 0x1.0000000000000002p0L, -5.820766091346740722012013594069507025615e-11L, 7.853981633974483096732590862331681441026e-1L);
+  TEST_c_c (catanh, -0x1p-33L, -0x1.0000000000000002p0L, -5.820766091346740722012013594069507025615e-11L, -7.853981633974483096732590862331681441026e-1L);
+  TEST_c_c (catanh, 0x1.0000000000000002p0L, 0x1p-33L, 1.178350206951907025990405771755129268176e1L, 7.853981638922134273801338071094141188767e-1L);
+  TEST_c_c (catanh, -0x1.0000000000000002p0L, 0x1p-33L, -1.178350206951907025990405771755129268176e1L, 7.853981638922134273801338071094141188767e-1L);
+  TEST_c_c (catanh, 0x1.0000000000000002p0L, -0x1p-33L, 1.178350206951907025990405771755129268176e1L, -7.853981638922134273801338071094141188767e-1L);
+  TEST_c_c (catanh, -0x1.0000000000000002p0L, -0x1p-33L, -1.178350206951907025990405771755129268176e1L, -7.853981638922134273801338071094141188767e-1L);
+  TEST_c_c (catanh, 0x1p-33L, 0x0.ffffffffffffffffp0L, 5.820766091346740722958646680334721192083e-11L, 7.853981633974483095919439232967553115548e-1L);
+  TEST_c_c (catanh, 0x1p-33L, -0x0.ffffffffffffffffp0L, 5.820766091346740722958646680334721192083e-11L, -7.853981633974483095919439232967553115548e-1L);
+  TEST_c_c (catanh, -0x1p-33L, 0x0.ffffffffffffffffp0L, -5.820766091346740722958646680334721192083e-11L, 7.853981633974483095919439232967553115548e-1L);
+  TEST_c_c (catanh, -0x1p-33L, -0x0.ffffffffffffffffp0L, -5.820766091346740722958646680334721192083e-11L, -7.853981633974483095919439232967553115548e-1L);
+  TEST_c_c (catanh, 0x0.ffffffffffffffffp0L, 0x1p-33L, 1.178350206951907026002603046195591193050e1L, 7.853981631937214964185249205444919953948e-1L);
+  TEST_c_c (catanh, -0x0.ffffffffffffffffp0L, 0x1p-33L, -1.178350206951907026002603046195591193050e1L, 7.853981631937214964185249205444919953948e-1L);
+  TEST_c_c (catanh, 0x0.ffffffffffffffffp0L, -0x1p-33L, 1.178350206951907026002603046195591193050e1L, -7.853981631937214964185249205444919953948e-1L);
+  TEST_c_c (catanh, -0x0.ffffffffffffffffp0L, -0x1p-33L, -1.178350206951907026002603046195591193050e1L, -7.853981631937214964185249205444919953948e-1L);
+#endif
+#if defined TEST_LDOUBLE && LDBL_MANT_DIG >= 106
+  TEST_c_c (catanh, 0x1p-54L, 0x1.000000000000000000000000008p0L, 2.775557561562891351059079170226980932999e-17L, 7.853981633974483096156608458198888173729e-1L);
+  TEST_c_c (catanh, 0x1p-54L, -0x1.000000000000000000000000008p0L, 2.775557561562891351059079170226980932999e-17L, -7.853981633974483096156608458198888173729e-1L);
+  TEST_c_c (catanh, -0x1p-54L, 0x1.000000000000000000000000008p0L, -2.775557561562891351059079170226980932999e-17L, 7.853981633974483096156608458198888173729e-1L);
+  TEST_c_c (catanh, -0x1p-54L, -0x1.000000000000000000000000008p0L, -2.775557561562891351059079170226980932999e-17L, -7.853981633974483096156608458198888173729e-1L);
+  TEST_c_c (catanh, 0x1.000000000000000000000000008p0L, 0x1p-54L, 1.906154746539849600897388334009981267384e1L, 7.853981633974485455380535786656405610710e-1L);
+  TEST_c_c (catanh, -0x1.000000000000000000000000008p0L, 0x1p-54L, -1.906154746539849600897388334009981267384e1L, 7.853981633974485455380535786656405610710e-1L);
+  TEST_c_c (catanh, 0x1.000000000000000000000000008p0L, -0x1p-54L, 1.906154746539849600897388334009981267384e1L, -7.853981633974485455380535786656405610710e-1L);
+  TEST_c_c (catanh, -0x1.000000000000000000000000008p0L, -0x1p-54L, -1.906154746539849600897388334009981267384e1L, -7.853981633974485455380535786656405610710e-1L);
+  TEST_c_c (catanh, 0x1p-54L, 0x0.ffffffffffffffffffffffffffcp0L, 2.775557561562891351059079170227083567164e-17L, 7.853981633974483096156608458198703284454e-1L);
+  TEST_c_c (catanh, 0x1p-54L, -0x0.ffffffffffffffffffffffffffcp0L, 2.775557561562891351059079170227083567164e-17L, -7.853981633974483096156608458198703284454e-1L);
+  TEST_c_c (catanh, -0x1p-54L, 0x0.ffffffffffffffffffffffffffcp0L, -2.775557561562891351059079170227083567164e-17L, 7.853981633974483096156608458198703284454e-1L);
+  TEST_c_c (catanh, -0x1p-54L, -0x0.ffffffffffffffffffffffffffcp0L, -2.775557561562891351059079170227083567164e-17L, -7.853981633974483096156608458198703284454e-1L);
+  TEST_c_c (catanh, 0x0.ffffffffffffffffffffffffffcp0L, 0x1p-54L, 1.906154746539849600897388334009984040723e1L, 7.853981633974482124711461911186784339815e-1L);
+  TEST_c_c (catanh, -0x0.ffffffffffffffffffffffffffcp0L, 0x1p-54L, -1.906154746539849600897388334009984040723e1L, 7.853981633974482124711461911186784339815e-1L);
+  TEST_c_c (catanh, 0x0.ffffffffffffffffffffffffffcp0L, -0x1p-54L, 1.906154746539849600897388334009984040723e1L, -7.853981633974482124711461911186784339815e-1L);
+  TEST_c_c (catanh, -0x0.ffffffffffffffffffffffffffcp0L, -0x1p-54L, -1.906154746539849600897388334009984040723e1L, -7.853981633974482124711461911186784339815e-1L);
+#endif
+#if defined TEST_LDOUBLE && LDBL_MANT_DIG >= 113
+  TEST_c_c (catanh, 0x1p-57L, 0x1.0000000000000000000000000001p0L, 3.469446951953614188823848962783812780530e-18L, 7.853981633974483096156608458198758293829e-1L);
+  TEST_c_c (catanh, 0x1p-57L, -0x1.0000000000000000000000000001p0L, 3.469446951953614188823848962783812780530e-18L, -7.853981633974483096156608458198758293829e-1L);
+  TEST_c_c (catanh, -0x1p-57L, 0x1.0000000000000000000000000001p0L, -3.469446951953614188823848962783812780530e-18L, 7.853981633974483096156608458198758293829e-1L);
+  TEST_c_c (catanh, -0x1p-57L, -0x1.0000000000000000000000000001p0L, -3.469446951953614188823848962783812780530e-18L, -7.853981633974483096156608458198758293829e-1L);
+  TEST_c_c (catanh, 0x1.0000000000000000000000000001p0L, 0x1p-57L, 2.010126823623841397309973152228712033275e1L, 7.853981633974483252281721296111395707566e-1L);
+  TEST_c_c (catanh, -0x1.0000000000000000000000000001p0L, 0x1p-57L, -2.010126823623841397309973152228712033275e1L, 7.853981633974483252281721296111395707566e-1L);
+  TEST_c_c (catanh, 0x1.0000000000000000000000000001p0L, -0x1p-57L, 2.010126823623841397309973152228712033275e1L, -7.853981633974483252281721296111395707566e-1L);
+  TEST_c_c (catanh, -0x1.0000000000000000000000000001p0L, -0x1p-57L, -2.010126823623841397309973152228712033275e1L, -7.853981633974483252281721296111395707566e-1L);
+  TEST_c_c (catanh, 0x1p-57L, 0x0.ffffffffffffffffffffffffffff8p0L, 3.469446951953614188823848962783813782817e-18L, 7.853981633974483096156608458198756849381e-1L);
+  TEST_c_c (catanh, 0x1p-57L, -0x0.ffffffffffffffffffffffffffff8p0L, 3.469446951953614188823848962783813782817e-18L, -7.853981633974483096156608458198756849381e-1L);
+  TEST_c_c (catanh, -0x1p-57L, 0x0.ffffffffffffffffffffffffffff8p0L, -3.469446951953614188823848962783813782817e-18L, 7.853981633974483096156608458198756849381e-1L);
+  TEST_c_c (catanh, -0x1p-57L, -0x0.ffffffffffffffffffffffffffff8p0L, -3.469446951953614188823848962783813782817e-18L, -7.853981633974483096156608458198756849381e-1L);
+  TEST_c_c (catanh, 0x0.ffffffffffffffffffffffffffff8p0L, 0x1p-57L, 2.010126823623841397309973152228712040498e1L, 7.853981633974483044114904178894544378135e-1L);
+  TEST_c_c (catanh, -0x0.ffffffffffffffffffffffffffff8p0L, 0x1p-57L, -2.010126823623841397309973152228712040498e1L, 7.853981633974483044114904178894544378135e-1L);
+  TEST_c_c (catanh, 0x0.ffffffffffffffffffffffffffff8p0L, -0x1p-57L, 2.010126823623841397309973152228712040498e1L, -7.853981633974483044114904178894544378135e-1L);
+  TEST_c_c (catanh, -0x0.ffffffffffffffffffffffffffff8p0L, -0x1p-57L, -2.010126823623841397309973152228712040498e1L, -7.853981633974483044114904178894544378135e-1L);
+#endif
 
   TEST_c_c (catanh, 0.75L, 1.25L, 0.261492138795671927078652057366532140L, 0.996825126463918666098902241310446708L);
   TEST_c_c (catanh, -2, -3, -0.14694666622552975204743278515471595L, -1.3389725222944935611241935759091443L);