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authorJoseph Myers <joseph@codesourcery.com>2013-05-01 10:07:00 +0000
committerJoseph Myers <joseph@codesourcery.com>2013-05-01 10:07:00 +0000
commit10de07f5fdd9eaf3a808d4461401f5b661095614 (patch)
tree844a1ed48df767e65d46a429f0e1b062e0e2fad5 /math
parentcb4d54147e620f4267d1c675bf2daec0a8e7c809 (diff)
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Fix catan, catanh spurious underflows (bug 15423).
Diffstat (limited to 'math')
-rw-r--r--math/libm-test.inc372
-rw-r--r--math/s_catan.c42
-rw-r--r--math/s_catanf.c43
-rw-r--r--math/s_catanh.c41
-rw-r--r--math/s_catanhf.c42
-rw-r--r--math/s_catanhl.c43
-rw-r--r--math/s_catanl.c42
7 files changed, 528 insertions, 97 deletions
diff --git a/math/libm-test.inc b/math/libm-test.inc
index d131ffa6f6..8feb0a641a 100644
--- a/math/libm-test.inc
+++ b/math/libm-test.inc
@@ -4611,6 +4611,192 @@ catan_test (void)
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, 1.0L, 0x1p-64L, 7.853981633974483096156608458198757210500e-1L, 2.710505431213761085018632002174854278563e-20L);
+ TEST_c_c (catan, 1.0L, -0x1p-64L, 7.853981633974483096156608458198757210500e-1L, -2.710505431213761085018632002174854278563e-20L);
+ TEST_c_c (catan, -1.0L, 0x1p-64L, -7.853981633974483096156608458198757210500e-1L, 2.710505431213761085018632002174854278563e-20L);
+ TEST_c_c (catan, -1.0L, -0x1p-64L, -7.853981633974483096156608458198757210500e-1L, -2.710505431213761085018632002174854278563e-20L);
+ TEST_c_c (catan, 0x1p-64L, 1.0L, 7.853981633974483096292133729759445264744e-1L, 2.252728336819822255606004394739073846245e1L);
+ TEST_c_c (catan, -0x1p-64L, 1.0L, -7.853981633974483096292133729759445264744e-1L, 2.252728336819822255606004394739073846245e1L);
+ TEST_c_c (catan, 0x1p-64L, -1.0L, 7.853981633974483096292133729759445264744e-1L, -2.252728336819822255606004394739073846245e1L);
+ TEST_c_c (catan, -0x1p-64L, -1.0L, -7.853981633974483096292133729759445264744e-1L, -2.252728336819822255606004394739073846245e1L);
+ TEST_c_c (catan, 1.0L, 0x1.3p-73L, 7.853981633974483096156608458198757210493e-1L, 6.286572655403010329022706059731717687100e-23L);
+ TEST_c_c (catan, 1.0L, -0x1.3p-73L, 7.853981633974483096156608458198757210493e-1L, -6.286572655403010329022706059731717687100e-23L);
+ TEST_c_c (catan, -1.0L, 0x1.3p-73L, -7.853981633974483096156608458198757210493e-1L, 6.286572655403010329022706059731717687100e-23L);
+ TEST_c_c (catan, -1.0L, -0x1.3p-73L, -7.853981633974483096156608458198757210493e-1L, -6.286572655403010329022706059731717687100e-23L);
+ TEST_c_c (catan, 0x1.3p-73L, 1.0L, 7.853981633974483096156922786831527361009e-1L, 2.556052055225464683726753902092495938633e1L);
+ TEST_c_c (catan, -0x1.3p-73L, 1.0L, -7.853981633974483096156922786831527361009e-1L, 2.556052055225464683726753902092495938633e1L);
+ TEST_c_c (catan, 0x1.3p-73L, -1.0L, 7.853981633974483096156922786831527361009e-1L, -2.556052055225464683726753902092495938633e1L);
+ TEST_c_c (catan, -0x1.3p-73L, -1.0L, -7.853981633974483096156922786831527361009e-1L, -2.556052055225464683726753902092495938633e1L);
+ TEST_c_c (catan, 1.0L, 0x1p-124L, 7.853981633974483096156608458198757210493e-1L, 2.350988701644575015937473074444491355637e-38L);
+ TEST_c_c (catan, 1.0L, -0x1p-124L, 7.853981633974483096156608458198757210493e-1L, -2.350988701644575015937473074444491355637e-38L);
+ TEST_c_c (catan, -1.0L, 0x1p-124L, -7.853981633974483096156608458198757210493e-1L, 2.350988701644575015937473074444491355637e-38L);
+ TEST_c_c (catan, -1.0L, -0x1p-124L, -7.853981633974483096156608458198757210493e-1L, -2.350988701644575015937473074444491355637e-38L);
+ TEST_c_c (catan, 0x1p-124L, 1.0L, 7.853981633974483096156608458198757210610e-1L, 4.332169878499658183857700759113603550472e1L);
+ TEST_c_c (catan, -0x1p-124L, 1.0L, -7.853981633974483096156608458198757210610e-1L, 4.332169878499658183857700759113603550472e1L);
+ TEST_c_c (catan, 0x1p-124L, -1.0L, 7.853981633974483096156608458198757210610e-1L, -4.332169878499658183857700759113603550472e1L);
+ TEST_c_c (catan, -0x1p-124L, -1.0L, -7.853981633974483096156608458198757210610e-1L, -4.332169878499658183857700759113603550472e1L);
+ TEST_c_c (catan, 0x1.000002p0L, 0x1p-126L, 7.853982230020895322927482174768220815493e-1L, 5.877471053462247139383742414506671233336e-39L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catan, 0x1.000002p0L, -0x1p-126L, 7.853982230020895322927482174768220815493e-1L, -5.877471053462247139383742414506671233336e-39L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catan, -0x1.000002p0L, 0x1p-126L, -7.853982230020895322927482174768220815493e-1L, 5.877471053462247139383742414506671233336e-39L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catan, -0x1.000002p0L, -0x1p-126L, -7.853982230020895322927482174768220815493e-1L, -5.877471053462247139383742414506671233336e-39L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catan, 0x1p-126L, 0x1.000002p0L, 1.570796326794896619231321691639702138295L, 8.317766196521665212523713550410777685446L);
+ TEST_c_c (catan, -0x1p-126L, 0x1.000002p0L, -1.570796326794896619231321691639702138295L, 8.317766196521665212523713550410777685446L);
+ TEST_c_c (catan, 0x1p-126L, -0x1.000002p0L, 1.570796326794896619231321691639702138295L, -8.317766196521665212523713550410777685446L);
+ TEST_c_c (catan, -0x1p-126L, -0x1.000002p0L, -1.570796326794896619231321691639702138295L, -8.317766196521665212523713550410777685446L);
+ TEST_c_c (catan, 0x0.ffffffp0L, 0x1p-126L, 7.853981335951250337419109991749089175724e-1L, 5.877472104436064061535099214664320916184e-39L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catan, 0x0.ffffffp0L, -0x1p-126L, 7.853981335951250337419109991749089175724e-1L, -5.877472104436064061535099214664320916184e-39L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catan, -0x0.ffffffp0L, 0x1p-126L, -7.853981335951250337419109991749089175724e-1L, 5.877472104436064061535099214664320916184e-39L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catan, -0x0.ffffffp0L, -0x1p-126L, -7.853981335951250337419109991749089175724e-1L, -5.877472104436064061535099214664320916184e-39L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catan, 0x1p-126L, 0x0.ffffffp0L, 9.860761609136244031334147100512154160097e-32L, 8.664339742098154951823135931565866792454L);
+ TEST_c_c (catan, -0x1p-126L, 0x0.ffffffp0L, -9.860761609136244031334147100512154160097e-32L, 8.664339742098154951823135931565866792454L);
+ TEST_c_c (catan, 0x1p-126L, -0x0.ffffffp0L, 9.860761609136244031334147100512154160097e-32L, -8.664339742098154951823135931565866792454L);
+ TEST_c_c (catan, -0x1p-126L, -0x0.ffffffp0L, -9.860761609136244031334147100512154160097e-32L, -8.664339742098154951823135931565866792454L);
+#ifndef TEST_FLOAT
+ TEST_c_c (catan, 1.0L, 0x1p-512L, 7.853981633974483096156608458198757210493e-1L, 3.729170365600103371645482657731466918688e-155L);
+ TEST_c_c (catan, 1.0L, -0x1p-512L, 7.853981633974483096156608458198757210493e-1L, -3.729170365600103371645482657731466918688e-155L);
+ TEST_c_c (catan, -1.0L, 0x1p-512L, -7.853981633974483096156608458198757210493e-1L, 3.729170365600103371645482657731466918688e-155L);
+ TEST_c_c (catan, -1.0L, -0x1p-512L, -7.853981633974483096156608458198757210493e-1L, -3.729170365600103371645482657731466918688e-155L);
+ TEST_c_c (catan, 0x1p-512L, 1.0L, 7.853981633974483096156608458198757210493e-1L, 1.777922518136259718655200391540222897114e2L);
+ TEST_c_c (catan, -0x1p-512L, 1.0L, -7.853981633974483096156608458198757210493e-1L, 1.777922518136259718655200391540222897114e2L);
+ TEST_c_c (catan, 0x1p-512L, -1.0L, 7.853981633974483096156608458198757210493e-1L, -1.777922518136259718655200391540222897114e2L);
+ TEST_c_c (catan, -0x1p-512L, -1.0L, -7.853981633974483096156608458198757210493e-1L, -1.777922518136259718655200391540222897114e2L);
+ TEST_c_c (catan, 1.0L, 0x1.3p-536L, 7.853981633974483096156608458198757210493e-1L, 2.639526015013529511588222179446290115084e-162L);
+ TEST_c_c (catan, 1.0L, -0x1.3p-536L, 7.853981633974483096156608458198757210493e-1L, -2.639526015013529511588222179446290115084e-162L);
+ TEST_c_c (catan, -1.0L, 0x1.3p-536L, -7.853981633974483096156608458198757210493e-1L, 2.639526015013529511588222179446290115084e-162L);
+ TEST_c_c (catan, -1.0L, -0x1.3p-536L, -7.853981633974483096156608458198757210493e-1L, -2.639526015013529511588222179446290115084e-162L);
+ TEST_c_c (catan, 0x1.3p-536L, 1.0L, 7.853981633974483096156608458198757210493e-1L, 1.860240928518819859673567751384928348958e2L);
+ TEST_c_c (catan, -0x1.3p-536L, 1.0L, -7.853981633974483096156608458198757210493e-1L, 1.860240928518819859673567751384928348958e2L);
+ TEST_c_c (catan, 0x1.3p-536L, -1.0L, 7.853981633974483096156608458198757210493e-1L, -1.860240928518819859673567751384928348958e2L);
+ TEST_c_c (catan, -0x1.3p-536L, -1.0L, -7.853981633974483096156608458198757210493e-1L, -1.860240928518819859673567751384928348958e2L);
+ TEST_c_c (catan, 1.0L, 0x1p-1020L, 7.853981633974483096156608458198757210493e-1L, 4.450147717014402766180465434664808128438e-308L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catan, 1.0L, -0x1p-1020L, 7.853981633974483096156608458198757210493e-1L, -4.450147717014402766180465434664808128438e-308L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catan, -1.0L, 0x1p-1020L, -7.853981633974483096156608458198757210493e-1L, 4.450147717014402766180465434664808128438e-308L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catan, -1.0L, -0x1p-1020L, -7.853981633974483096156608458198757210493e-1L, -4.450147717014402766180465434664808128438e-308L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catan, 0x1p-1020L, 1.0L, 7.853981633974483096156608458198757210493e-1L, 3.538516356758520804574969980043991380025e2L);
+ TEST_c_c (catan, -0x1p-1020L, 1.0L, -7.853981633974483096156608458198757210493e-1L, 3.538516356758520804574969980043991380025e2L);
+ TEST_c_c (catan, 0x1p-1020L, -1.0L, 7.853981633974483096156608458198757210493e-1L, -3.538516356758520804574969980043991380025e2L);
+ TEST_c_c (catan, -0x1p-1020L, -1.0L, -7.853981633974483096156608458198757210493e-1L, -3.538516356758520804574969980043991380025e2L);
+ TEST_c_c (catan, 0x1.0000000000001p0L, 0x1p-1022L, 7.853981633974484206379633083355174374608e-1L, 1.112536929253600444512293438042957369978e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, 0x1.0000000000001p0L, -0x1p-1022L, 7.853981633974484206379633083355174374608e-1L, -1.112536929253600444512293438042957369978e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, -0x1.0000000000001p0L, 0x1p-1022L, -7.853981633974484206379633083355174374608e-1L, 1.112536929253600444512293438042957369978e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, -0x1.0000000000001p0L, -0x1p-1022L, -7.853981633974484206379633083355174374608e-1L, -1.112536929253600444512293438042957369978e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, 0x1p-1022L, 0x1.0000000000001p0L, 1.570796326794896619231321691639751442099L, 1.836840028483855075506780244989950299369e1L);
+ TEST_c_c (catan, -0x1p-1022L, 0x1.0000000000001p0L, -1.570796326794896619231321691639751442099L, 1.836840028483855075506780244989950299369e1L);
+ TEST_c_c (catan, 0x1p-1022L, -0x1.0000000000001p0L, 1.570796326794896619231321691639751442099L, -1.836840028483855075506780244989950299369e1L);
+ TEST_c_c (catan, -0x1p-1022L, -0x1.0000000000001p0L, -1.570796326794896619231321691639751442099L, -1.836840028483855075506780244989950299369e1L);
+ TEST_c_c (catan, 0x0.fffffffffffff8p0L, 0x1p-1022L, 7.853981633974482541045096145620456183798e-1L, 1.112536929253600815061527818977844932790e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, 0x0.fffffffffffff8p0L, -0x1p-1022L, 7.853981633974482541045096145620456183798e-1L, -1.112536929253600815061527818977844932790e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, -0x0.fffffffffffff8p0L, 0x1p-1022L, -7.853981633974482541045096145620456183798e-1L, 1.112536929253600815061527818977844932790e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, -0x0.fffffffffffff8p0L, -0x1p-1022L, -7.853981633974482541045096145620456183798e-1L, -1.112536929253600815061527818977844932790e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, 0x1p-1022L, 0x0.fffffffffffff8p0L, 1.002084180004486444624900488355118689113e-292L, 1.871497387511852332650969166374185305708e1L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catan, -0x1p-1022L, 0x0.fffffffffffff8p0L, -1.002084180004486444624900488355118689113e-292L, 1.871497387511852332650969166374185305708e1L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catan, 0x1p-1022L, -0x0.fffffffffffff8p0L, 1.002084180004486444624900488355118689113e-292L, -1.871497387511852332650969166374185305708e1L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catan, -0x1p-1022L, -0x0.fffffffffffff8p0L, -1.002084180004486444624900488355118689113e-292L, -1.871497387511852332650969166374185305708e1L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+#endif
+#if defined TEST_LDOUBLE && LDBL_MANT_DIG >= 64
+ TEST_c_c (catan, 0x1.0000000000000002p0L, 0x1p-1022L, 7.853981633974483096698709544441509427467e-1L, 1.112536929253600691424494863099491450042e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, 0x1.0000000000000002p0L, -0x1p-1022L, 7.853981633974483096698709544441509427467e-1L, -1.112536929253600691424494863099491450042e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, -0x1.0000000000000002p0L, 0x1p-1022L, -7.853981633974483096698709544441509427467e-1L, 1.112536929253600691424494863099491450042e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, -0x1.0000000000000002p0L, -0x1p-1022L, -7.853981633974483096698709544441509427467e-1L, -1.112536929253600691424494863099491450042e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, 0x1p-1022L, 0x1.0000000000000002p0L, 1.570796326794896619231321691639751442099L, 2.218070977791824990137853294097378778927e1L);
+ TEST_c_c (catan, -0x1p-1022L, 0x1.0000000000000002p0L, -1.570796326794896619231321691639751442099L, 2.218070977791824990137853294097378778927e1L);
+ TEST_c_c (catan, 0x1p-1022L, -0x1.0000000000000002p0L, 1.570796326794896619231321691639751442099L, -2.218070977791824990137853294097378778927e1L);
+ TEST_c_c (catan, -0x1p-1022L, -0x1.0000000000000002p0L, -1.570796326794896619231321691639751442099L, -2.218070977791824990137853294097378778927e1L);
+ TEST_c_c (catan, 0x0.ffffffffffffffffp0L, 0x1p-1022L, 7.853981633974483095885557915077381101984e-1L, 1.112536929253600691605427106449557323148e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, 0x0.ffffffffffffffffp0L, -0x1p-1022L, 7.853981633974483095885557915077381101984e-1L, -1.112536929253600691605427106449557323148e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, -0x0.ffffffffffffffffp0L, 0x1p-1022L, -7.853981633974483095885557915077381101984e-1L, 1.112536929253600691605427106449557323148e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, -0x0.ffffffffffffffffp0L, -0x1p-1022L, -7.853981633974483095885557915077381101984e-1L, -1.112536929253600691605427106449557323148e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, 0x1p-1022L, 0x0.ffffffffffffffffp0L, 2.052268400649188124723641491045245971623e-289L, 2.252728336819822255604649142023466965703e1L);
+ TEST_c_c (catan, -0x1p-1022L, 0x0.ffffffffffffffffp0L, -2.052268400649188124723641491045245971623e-289L, 2.252728336819822255604649142023466965703e1L);
+ TEST_c_c (catan, 0x1p-1022L, -0x0.ffffffffffffffffp0L, 2.052268400649188124723641491045245971623e-289L, -2.252728336819822255604649142023466965703e1L);
+ TEST_c_c (catan, -0x1p-1022L, -0x0.ffffffffffffffffp0L, -2.052268400649188124723641491045245971623e-289L, -2.252728336819822255604649142023466965703e1L);
+#endif
+#if defined TEST_LDOUBLE && LDBL_MANT_DIG >= 106
+ TEST_c_c (catan, 0x1.000000000000000000000000008p0L, 0x1p-1022L, 7.853981633974483096156608458198880470009e-1L, 1.112536929253600691545116358666174605957e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, 0x1.000000000000000000000000008p0L, -0x1p-1022L, 7.853981633974483096156608458198880470009e-1L, -1.112536929253600691545116358666174605957e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, -0x1.000000000000000000000000008p0L, 0x1p-1022L, -7.853981633974483096156608458198880470009e-1L, 1.112536929253600691545116358666174605957e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, -0x1.000000000000000000000000008p0L, -0x1p-1022L, -7.853981633974483096156608458198880470009e-1L, -1.112536929253600691545116358666174605957e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, 0x1p-1022L, 0x1.000000000000000000000000008p0L, 1.570796326794896619231321691639751442099L, 3.673680056967710139911330243728336427098e1L);
+ TEST_c_c (catan, -0x1p-1022L, 0x1.000000000000000000000000008p0L, -1.570796326794896619231321691639751442099L, 3.673680056967710139911330243728336427098e1L);
+ TEST_c_c (catan, 0x1p-1022L, -0x1.000000000000000000000000008p0L, 1.570796326794896619231321691639751442099L, -3.673680056967710139911330243728336427098e1L);
+ TEST_c_c (catan, -0x1p-1022L, -0x1.000000000000000000000000008p0L, -1.570796326794896619231321691639751442099L, -3.673680056967710139911330243728336427098e1L);
+ TEST_c_c (catan, 0x0.ffffffffffffffffffffffffffcp0L, 0x1p-1022L, 7.853981633974483096156608458198695580735e-1L, 1.112536929253600691545116358666215745186e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, 0x0.ffffffffffffffffffffffffffcp0L, -0x1p-1022L, 7.853981633974483096156608458198695580735e-1L, -1.112536929253600691545116358666215745186e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, -0x0.ffffffffffffffffffffffffffcp0L, 0x1p-1022L, -7.853981633974483096156608458198695580735e-1L, 1.112536929253600691545116358666215745186e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, -0x0.ffffffffffffffffffffffffffcp0L, -0x1p-1022L, -7.853981633974483096156608458198695580735e-1L, -1.112536929253600691545116358666215745186e-308L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catan, 0x1p-1022L, 0x0.ffffffffffffffffffffffffffcp0L, 9.025971879324147880346310405868788320726e-277L, 3.708337415995707405382191849801244331055e1L);
+ TEST_c_c (catan, -0x1p-1022L, 0x0.ffffffffffffffffffffffffffcp0L, -9.025971879324147880346310405868788320726e-277L, 3.708337415995707405382191849801244331055e1L);
+ TEST_c_c (catan, 0x1p-1022L, -0x0.ffffffffffffffffffffffffffcp0L, 9.025971879324147880346310405868788320726e-277L, -3.708337415995707405382191849801244331055e1L);
+ TEST_c_c (catan, -0x1p-1022L, -0x0.ffffffffffffffffffffffffffcp0L, -9.025971879324147880346310405868788320726e-277L, -3.708337415995707405382191849801244331055e1L);
+#endif
+#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384
+ TEST_c_c (catan, 1.0L, 0x1p-8192L, 7.853981633974483096156608458198757210493e-1L, 4.584009668887117914053530980121207914891e-2467L);
+ TEST_c_c (catan, 1.0L, -0x1p-8192L, 7.853981633974483096156608458198757210493e-1L, -4.584009668887117914053530980121207914891e-2467L);
+ TEST_c_c (catan, -1.0L, 0x1p-8192L, -7.853981633974483096156608458198757210493e-1L, 4.584009668887117914053530980121207914891e-2467L);
+ TEST_c_c (catan, -1.0L, -0x1p-8192L, -7.853981633974483096156608458198757210493e-1L, -4.584009668887117914053530980121207914891e-2467L);
+ TEST_c_c (catan, 0x1p-8192L, 1.0L, 7.853981633974483096156608458198757210493e-1L, 2.839477425163815960027691385553420311121e3L);
+ TEST_c_c (catan, -0x1p-8192L, 1.0L, -7.853981633974483096156608458198757210493e-1L, 2.839477425163815960027691385553420311121e3L);
+ TEST_c_c (catan, 0x1p-8192L, -1.0L, 7.853981633974483096156608458198757210493e-1L, -2.839477425163815960027691385553420311121e3L);
+ TEST_c_c (catan, -0x1p-8192L, -1.0L, -7.853981633974483096156608458198757210493e-1L, -2.839477425163815960027691385553420311121e3L);
+ TEST_c_c (catan, 1.0L, 0x1.3p-8221L, 7.853981633974483096156608458198757210493e-1L, 1.013933025636421986471594877335044443409e-2475L);
+ TEST_c_c (catan, 1.0L, -0x1.3p-8221L, 7.853981633974483096156608458198757210493e-1L, -1.013933025636421986471594877335044443409e-2475L);
+ TEST_c_c (catan, -1.0L, 0x1.3p-8221L, -7.853981633974483096156608458198757210493e-1L, 1.013933025636421986471594877335044443409e-2475L);
+ TEST_c_c (catan, -1.0L, -0x1.3p-8221L, -7.853981633974483096156608458198757210493e-1L, -1.013933025636421986471594877335044443409e-2475L);
+ TEST_c_c (catan, 0x1.3p-8221L, 1.0L, 7.853981633974483096156608458198757210493e-1L, 2.849442134153471837403071201841536297726e3L);
+ TEST_c_c (catan, -0x1.3p-8221L, 1.0L, -7.853981633974483096156608458198757210493e-1L, 2.849442134153471837403071201841536297726e3L);
+ TEST_c_c (catan, 0x1.3p-8221L, -1.0L, 7.853981633974483096156608458198757210493e-1L, -2.849442134153471837403071201841536297726e3L);
+ TEST_c_c (catan, -0x1.3p-8221L, -1.0L, -7.853981633974483096156608458198757210493e-1L, -2.849442134153471837403071201841536297726e3L);
+ TEST_c_c (catan, 1.0L, 0x1.3p-8246L, 7.853981633974483096156608458198757210493e-1L, 3.021755890954798419688924781486524472858e-2483L);
+ TEST_c_c (catan, 1.0L, -0x1.3p-8246L, 7.853981633974483096156608458198757210493e-1L, -3.021755890954798419688924781486524472858e-2483L);
+ TEST_c_c (catan, -1.0L, 0x1.3p-8246L, -7.853981633974483096156608458198757210493e-1L, 3.021755890954798419688924781486524472858e-2483L);
+ TEST_c_c (catan, -1.0L, -0x1.3p-8246L, -7.853981633974483096156608458198757210493e-1L, -3.021755890954798419688924781486524472858e-2483L);
+ TEST_c_c (catan, 0x1.3p-8246L, 1.0L, 7.853981633974483096156608458198757210493e-1L, 2.858106473910471153770786603359763504827e3L);
+ TEST_c_c (catan, -0x1.3p-8246L, 1.0L, -7.853981633974483096156608458198757210493e-1L, 2.858106473910471153770786603359763504827e3L);
+ TEST_c_c (catan, 0x1.3p-8246L, -1.0L, 7.853981633974483096156608458198757210493e-1L, -2.858106473910471153770786603359763504827e3L);
+ TEST_c_c (catan, -0x1.3p-8246L, -1.0L, -7.853981633974483096156608458198757210493e-1L, -2.858106473910471153770786603359763504827e3L);
+ TEST_c_c (catan, 1.0L, 0x1p-16380L, 7.853981633974483096156608458198757210493e-1L, 6.724206286224187012525355634643505205196e-4932L);
+ TEST_c_c (catan, 1.0L, -0x1p-16380L, 7.853981633974483096156608458198757210493e-1L, -6.724206286224187012525355634643505205196e-4932L);
+ TEST_c_c (catan, -1.0L, 0x1p-16380L, -7.853981633974483096156608458198757210493e-1L, 6.724206286224187012525355634643505205196e-4932L);
+ TEST_c_c (catan, -1.0L, -0x1p-16380L, -7.853981633974483096156608458198757210493e-1L, -6.724206286224187012525355634643505205196e-4932L);
+ TEST_c_c (catan, 0x1p-16380L, 1.0L, 7.853981633974483096156608458198757210493e-1L, 5.677221982376232056781839690803195180822e3L);
+ TEST_c_c (catan, -0x1p-16380L, 1.0L, -7.853981633974483096156608458198757210493e-1L, 5.677221982376232056781839690803195180822e3L);
+ TEST_c_c (catan, 0x1p-16380L, -1.0L, 7.853981633974483096156608458198757210493e-1L, -5.677221982376232056781839690803195180822e3L);
+ TEST_c_c (catan, -0x1p-16380L, -1.0L, -7.853981633974483096156608458198757210493e-1L, -5.677221982376232056781839690803195180822e3L);
+ TEST_c_c (catan, 0x1.0000000000000002p0L, 0x1p-16382L, 7.853981633974483096698709544441509427467e-1L, 1.681051571556046752949078932066752571182e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, 0x1.0000000000000002p0L, -0x1p-16382L, 7.853981633974483096698709544441509427467e-1L, -1.681051571556046752949078932066752571182e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, -0x1.0000000000000002p0L, 0x1p-16382L, -7.853981633974483096698709544441509427467e-1L, 1.681051571556046752949078932066752571182e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, -0x1.0000000000000002p0L, -0x1p-16382L, -7.853981633974483096698709544441509427467e-1L, -1.681051571556046752949078932066752571182e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, 0x1p-16382L, 0x1.0000000000000002p0L, 1.570796326794896619231321691639751442099L, 2.218070977791824990137853294097378778927e1L);
+ TEST_c_c (catan, -0x1p-16382L, 0x1.0000000000000002p0L, -1.570796326794896619231321691639751442099L, 2.218070977791824990137853294097378778927e1L);
+ TEST_c_c (catan, 0x1p-16382L, -0x1.0000000000000002p0L, 1.570796326794896619231321691639751442099L, -2.218070977791824990137853294097378778927e1L);
+ TEST_c_c (catan, -0x1p-16382L, -0x1.0000000000000002p0L, -1.570796326794896619231321691639751442099L, -2.218070977791824990137853294097378778927e1L);
+ TEST_c_c (catan, 0x0.ffffffffffffffffp0L, 0x1p-16382L, 7.853981633974483095885557915077381101984e-1L, 1.681051571556046753222468896957938166365e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, 0x0.ffffffffffffffffp0L, -0x1p-16382L, 7.853981633974483095885557915077381101984e-1L, -1.681051571556046753222468896957938166365e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, -0x0.ffffffffffffffffp0L, 0x1p-16382L, -7.853981633974483095885557915077381101984e-1L, 1.681051571556046753222468896957938166365e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, -0x0.ffffffffffffffffp0L, -0x1p-16382L, -7.853981633974483095885557915077381101984e-1L, -1.681051571556046753222468896957938166365e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, 0x1p-16382L, 0x0.ffffffffffffffffp0L, 3.100992811520163369065387859792822623745e-4913L, 2.252728336819822255604649142023466965703e1L);
+ TEST_c_c (catan, -0x1p-16382L, 0x0.ffffffffffffffffp0L, -3.100992811520163369065387859792822623745e-4913L, 2.252728336819822255604649142023466965703e1L);
+ TEST_c_c (catan, 0x1p-16382L, -0x0.ffffffffffffffffp0L, 3.100992811520163369065387859792822623745e-4913L, -2.252728336819822255604649142023466965703e1L);
+ TEST_c_c (catan, -0x1p-16382L, -0x0.ffffffffffffffffp0L, -3.100992811520163369065387859792822623745e-4913L, -2.252728336819822255604649142023466965703e1L);
+# if LDBL_MANT_DIG >= 113
+ TEST_c_c (catan, 0x1.0000000000000000000000000001p0L, 0x1p-16382L, 7.853981633974483096156608458198758173458e-1L, 1.681051571556046753131338908660875977540e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, 0x1.0000000000000000000000000001p0L, -0x1p-16382L, 7.853981633974483096156608458198758173458e-1L, -1.681051571556046753131338908660875977540e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, -0x1.0000000000000000000000000001p0L, 0x1p-16382L, -7.853981633974483096156608458198758173458e-1L, 1.681051571556046753131338908660875977540e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, -0x1.0000000000000000000000000001p0L, -0x1p-16382L, -7.853981633974483096156608458198758173458e-1L, -1.681051571556046753131338908660875977540e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, 0x1p-16382L, 0x1.0000000000000000000000000001p0L, 1.570796326794896619231321691639751442099L, 3.916281570163690998207361486238697614441e1L);
+ TEST_c_c (catan, -0x1p-16382L, 0x1.0000000000000000000000000001p0L, -1.570796326794896619231321691639751442099L, 3.916281570163690998207361486238697614441e1L);
+ TEST_c_c (catan, 0x1p-16382L, -0x1.0000000000000000000000000001p0L, 1.570796326794896619231321691639751442099L, -3.916281570163690998207361486238697614441e1L);
+ TEST_c_c (catan, -0x1p-16382L, -0x1.0000000000000000000000000001p0L, -1.570796326794896619231321691639751442099L, -3.916281570163690998207361486238697614441e1L);
+ TEST_c_c (catan, 0x0.ffffffffffffffffffffffffffff8p0L, 0x1p-16382L, 7.853981633974483096156608458198756729010e-1L, 1.681051571556046753131338908660876463178e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, 0x0.ffffffffffffffffffffffffffff8p0L, -0x1p-16382L, 7.853981633974483096156608458198756729010e-1L, -1.681051571556046753131338908660876463178e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, -0x0.ffffffffffffffffffffffffffff8p0L, 0x1p-16382L, -7.853981633974483096156608458198756729010e-1L, 1.681051571556046753131338908660876463178e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, -0x0.ffffffffffffffffffffffffffff8p0L, -0x1p-16382L, -7.853981633974483096156608458198756729010e-1L, -1.681051571556046753131338908660876463178e-4932L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catan, 0x1p-16382L, 0x0.ffffffffffffffffffffffffffff8p0L, 1.745703758805099310527547423749501866998e-4898L, 3.950938929191688263678223092311606435623e1L);
+ TEST_c_c (catan, -0x1p-16382L, 0x0.ffffffffffffffffffffffffffff8p0L, -1.745703758805099310527547423749501866998e-4898L, 3.950938929191688263678223092311606435623e1L);
+ TEST_c_c (catan, 0x1p-16382L, -0x0.ffffffffffffffffffffffffffff8p0L, 1.745703758805099310527547423749501866998e-4898L, -3.950938929191688263678223092311606435623e1L);
+ TEST_c_c (catan, -0x1p-16382L, -0x0.ffffffffffffffffffffffffffff8p0L, -1.745703758805099310527547423749501866998e-4898L, -3.950938929191688263678223092311606435623e1L);
+# endif
+#endif
TEST_c_c (catan, 0.75L, 1.25L, 1.10714871779409050301706546017853704L, 0.549306144334054845697622618461262852L);
TEST_c_c (catan, -2, -3, -1.4099210495965755225306193844604208L, -0.22907268296853876629588180294200276L);
@@ -4935,6 +5121,192 @@ catanh_test (void)
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, 1.0L, 0x1p-64L, 2.252728336819822255606004394739073846245e1L, 7.853981633974483096292133729759445264744e-1L);
+ TEST_c_c (catanh, 1.0L, -0x1p-64L, 2.252728336819822255606004394739073846245e1L, -7.853981633974483096292133729759445264744e-1L);
+ TEST_c_c (catanh, -1.0L, 0x1p-64L, -2.252728336819822255606004394739073846245e1L, 7.853981633974483096292133729759445264744e-1L);
+ TEST_c_c (catanh, -1.0L, -0x1p-64L, -2.252728336819822255606004394739073846245e1L, -7.853981633974483096292133729759445264744e-1L);
+ TEST_c_c (catanh, 0x1p-64L, 1.0L, 2.710505431213761085018632002174854278563e-20L, 7.853981633974483096156608458198757210500e-1L);
+ TEST_c_c (catanh, -0x1p-64L, 1.0L, -2.710505431213761085018632002174854278563e-20L, 7.853981633974483096156608458198757210500e-1L);
+ TEST_c_c (catanh, 0x1p-64L, -1.0L, 2.710505431213761085018632002174854278563e-20L, -7.853981633974483096156608458198757210500e-1L);
+ TEST_c_c (catanh, -0x1p-64L, -1.0L, -2.710505431213761085018632002174854278563e-20L, -7.853981633974483096156608458198757210500e-1L);
+ TEST_c_c (catanh, 1.0L, 0x1.3p-73L, 2.556052055225464683726753902092495938633e1L, 7.853981633974483096156922786831527361009e-1L);
+ TEST_c_c (catanh, 1.0L, -0x1.3p-73L, 2.556052055225464683726753902092495938633e1L, -7.853981633974483096156922786831527361009e-1L);
+ TEST_c_c (catanh, -1.0L, 0x1.3p-73L, -2.556052055225464683726753902092495938633e1L, 7.853981633974483096156922786831527361009e-1L);
+ TEST_c_c (catanh, -1.0L, -0x1.3p-73L, -2.556052055225464683726753902092495938633e1L, -7.853981633974483096156922786831527361009e-1L);
+ TEST_c_c (catanh, 0x1.3p-73L, 1.0L, 6.286572655403010329022706059731717687100e-23L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1.3p-73L, 1.0L, -6.286572655403010329022706059731717687100e-23L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1.3p-73L, -1.0L, 6.286572655403010329022706059731717687100e-23L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1.3p-73L, -1.0L, -6.286572655403010329022706059731717687100e-23L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 1.0L, 0x1p-124L, 4.332169878499658183857700759113603550472e1L, 7.853981633974483096156608458198757210610e-1L);
+ TEST_c_c (catanh, 1.0L, -0x1p-124L, 4.332169878499658183857700759113603550472e1L, -7.853981633974483096156608458198757210610e-1L);
+ TEST_c_c (catanh, -1.0L, 0x1p-124L, -4.332169878499658183857700759113603550472e1L, 7.853981633974483096156608458198757210610e-1L);
+ TEST_c_c (catanh, -1.0L, -0x1p-124L, -4.332169878499658183857700759113603550472e1L, -7.853981633974483096156608458198757210610e-1L);
+ TEST_c_c (catanh, 0x1p-124L, 1.0L, 2.350988701644575015937473074444491355637e-38L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1p-124L, 1.0L, -2.350988701644575015937473074444491355637e-38L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1p-124L, -1.0L, 2.350988701644575015937473074444491355637e-38L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1p-124L, -1.0L, -2.350988701644575015937473074444491355637e-38L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1.000002p0L, 0x1p-126L, 8.317766196521665212523713550410777685446L, 1.570796326794896619231321691639702138295L);
+ TEST_c_c (catanh, 0x1.000002p0L, -0x1p-126L, 8.317766196521665212523713550410777685446L, -1.570796326794896619231321691639702138295L);
+ TEST_c_c (catanh, -0x1.000002p0L, 0x1p-126L, -8.317766196521665212523713550410777685446L, 1.570796326794896619231321691639702138295L);
+ TEST_c_c (catanh, -0x1.000002p0L, -0x1p-126L, -8.317766196521665212523713550410777685446L, -1.570796326794896619231321691639702138295L);
+ TEST_c_c (catanh, 0x1p-126L, 0x1.000002p0L, 5.877471053462247139383742414506671233336e-39L, 7.853982230020895322927482174768220815493e-1L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catanh, -0x1p-126L, 0x1.000002p0L, -5.877471053462247139383742414506671233336e-39L, 7.853982230020895322927482174768220815493e-1L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catanh, 0x1p-126L, -0x1.000002p0L, 5.877471053462247139383742414506671233336e-39L, -7.853982230020895322927482174768220815493e-1L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catanh, -0x1p-126L, -0x1.000002p0L, -5.877471053462247139383742414506671233336e-39L, -7.853982230020895322927482174768220815493e-1L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catanh, 0x0.ffffffp0L, 0x1p-126L, 8.664339742098154951823135931565866792454L, 9.860761609136244031334147100512154160097e-32L);
+ TEST_c_c (catanh, 0x0.ffffffp0L, -0x1p-126L, 8.664339742098154951823135931565866792454L, -9.860761609136244031334147100512154160097e-32L);
+ TEST_c_c (catanh, -0x0.ffffffp0L, 0x1p-126L, -8.664339742098154951823135931565866792454L, 9.860761609136244031334147100512154160097e-32L);
+ TEST_c_c (catanh, -0x0.ffffffp0L, -0x1p-126L, -8.664339742098154951823135931565866792454L, -9.860761609136244031334147100512154160097e-32L);
+ TEST_c_c (catanh, 0x1p-126L, 0x0.ffffffp0L, 5.877472104436064061535099214664320916184e-39L, 7.853981335951250337419109991749089175724e-1L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catanh, -0x1p-126L, 0x0.ffffffp0L, -5.877472104436064061535099214664320916184e-39L, 7.853981335951250337419109991749089175724e-1L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catanh, 0x1p-126L, -0x0.ffffffp0L, 5.877472104436064061535099214664320916184e-39L, -7.853981335951250337419109991749089175724e-1L, UNDERFLOW_EXCEPTION_FLOAT);
+ TEST_c_c (catanh, -0x1p-126L, -0x0.ffffffp0L, -5.877472104436064061535099214664320916184e-39L, -7.853981335951250337419109991749089175724e-1L, UNDERFLOW_EXCEPTION_FLOAT);
+#ifndef TEST_FLOAT
+ TEST_c_c (catanh, 1.0L, 0x1p-512L, 1.777922518136259718655200391540222897114e2L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 1.0L, -0x1p-512L, 1.777922518136259718655200391540222897114e2L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -1.0L, 0x1p-512L, -1.777922518136259718655200391540222897114e2L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -1.0L, -0x1p-512L, -1.777922518136259718655200391540222897114e2L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1p-512L, 1.0L, 3.729170365600103371645482657731466918688e-155L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1p-512L, 1.0L, -3.729170365600103371645482657731466918688e-155L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1p-512L, -1.0L, 3.729170365600103371645482657731466918688e-155L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1p-512L, -1.0L, -3.729170365600103371645482657731466918688e-155L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 1.0L, 0x1.3p-536L, 1.860240928518819859673567751384928348958e2L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 1.0L, -0x1.3p-536L, 1.860240928518819859673567751384928348958e2L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -1.0L, 0x1.3p-536L, -1.860240928518819859673567751384928348958e2L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -1.0L, -0x1.3p-536L, -1.860240928518819859673567751384928348958e2L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1.3p-536L, 1.0L, 2.639526015013529511588222179446290115084e-162L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1.3p-536L, 1.0L, -2.639526015013529511588222179446290115084e-162L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1.3p-536L, -1.0L, 2.639526015013529511588222179446290115084e-162L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1.3p-536L, -1.0L, -2.639526015013529511588222179446290115084e-162L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 1.0L, 0x1p-1020L, 3.538516356758520804574969980043991380025e2L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 1.0L, -0x1p-1020L, 3.538516356758520804574969980043991380025e2L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -1.0L, 0x1p-1020L, -3.538516356758520804574969980043991380025e2L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -1.0L, -0x1p-1020L, -3.538516356758520804574969980043991380025e2L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1p-1020L, 1.0L, 4.450147717014402766180465434664808128438e-308L, 7.853981633974483096156608458198757210493e-1L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catanh, -0x1p-1020L, 1.0L, -4.450147717014402766180465434664808128438e-308L, 7.853981633974483096156608458198757210493e-1L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catanh, 0x1p-1020L, -1.0L, 4.450147717014402766180465434664808128438e-308L, -7.853981633974483096156608458198757210493e-1L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catanh, -0x1p-1020L, -1.0L, -4.450147717014402766180465434664808128438e-308L, -7.853981633974483096156608458198757210493e-1L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catanh, 0x1.0000000000001p0L, 0x1p-1022L, 1.836840028483855075506780244989950299369e1L, 1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, 0x1.0000000000001p0L, -0x1p-1022L, 1.836840028483855075506780244989950299369e1L, -1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, -0x1.0000000000001p0L, 0x1p-1022L, -1.836840028483855075506780244989950299369e1L, 1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, -0x1.0000000000001p0L, -0x1p-1022L, -1.836840028483855075506780244989950299369e1L, -1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, 0x1p-1022L, 0x1.0000000000001p0L, 1.112536929253600444512293438042957369978e-308L, 7.853981633974484206379633083355174374608e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, -0x1p-1022L, 0x1.0000000000001p0L, -1.112536929253600444512293438042957369978e-308L, 7.853981633974484206379633083355174374608e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, 0x1p-1022L, -0x1.0000000000001p0L, 1.112536929253600444512293438042957369978e-308L, -7.853981633974484206379633083355174374608e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, -0x1p-1022L, -0x1.0000000000001p0L, -1.112536929253600444512293438042957369978e-308L, -7.853981633974484206379633083355174374608e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, 0x0.fffffffffffff8p0L, 0x1p-1022L, 1.871497387511852332650969166374185305708e1L, 1.002084180004486444624900488355118689113e-292L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catanh, 0x0.fffffffffffff8p0L, -0x1p-1022L, 1.871497387511852332650969166374185305708e1L, -1.002084180004486444624900488355118689113e-292L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catanh, -0x0.fffffffffffff8p0L, 0x1p-1022L, -1.871497387511852332650969166374185305708e1L, 1.002084180004486444624900488355118689113e-292L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catanh, -0x0.fffffffffffff8p0L, -0x1p-1022L, -1.871497387511852332650969166374185305708e1L, -1.002084180004486444624900488355118689113e-292L, UNDERFLOW_EXCEPTION_LDOUBLE_IBM);
+ TEST_c_c (catanh, 0x1p-1022L, 0x0.fffffffffffff8p0L, 1.112536929253600815061527818977844932790e-308L, 7.853981633974482541045096145620456183798e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, -0x1p-1022L, 0x0.fffffffffffff8p0L, -1.112536929253600815061527818977844932790e-308L, 7.853981633974482541045096145620456183798e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, 0x1p-1022L, -0x0.fffffffffffff8p0L, 1.112536929253600815061527818977844932790e-308L, -7.853981633974482541045096145620456183798e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, -0x1p-1022L, -0x0.fffffffffffff8p0L, -1.112536929253600815061527818977844932790e-308L, -7.853981633974482541045096145620456183798e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+#endif
+#if defined TEST_LDOUBLE && LDBL_MANT_DIG >= 64
+ TEST_c_c (catanh, 0x1.0000000000000002p0L, 0x1p-1022L, 2.218070977791824990137853294097378778927e1L, 1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, 0x1.0000000000000002p0L, -0x1p-1022L, 2.218070977791824990137853294097378778927e1L, -1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, -0x1.0000000000000002p0L, 0x1p-1022L, -2.218070977791824990137853294097378778927e1L, 1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, -0x1.0000000000000002p0L, -0x1p-1022L, -2.218070977791824990137853294097378778927e1L, -1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, 0x1p-1022L, 0x1.0000000000000002p0L, 1.112536929253600691424494863099491450042e-308L, 7.853981633974483096698709544441509427467e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, -0x1p-1022L, 0x1.0000000000000002p0L, -1.112536929253600691424494863099491450042e-308L, 7.853981633974483096698709544441509427467e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, 0x1p-1022L, -0x1.0000000000000002p0L, 1.112536929253600691424494863099491450042e-308L, -7.853981633974483096698709544441509427467e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, -0x1p-1022L, -0x1.0000000000000002p0L, -1.112536929253600691424494863099491450042e-308L, -7.853981633974483096698709544441509427467e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, 0x0.ffffffffffffffffp0L, 0x1p-1022L, 2.252728336819822255604649142023466965703e1L, 2.052268400649188124723641491045245971623e-289L);
+ TEST_c_c (catanh, 0x0.ffffffffffffffffp0L, -0x1p-1022L, 2.252728336819822255604649142023466965703e1L, -2.052268400649188124723641491045245971623e-289L);
+ TEST_c_c (catanh, -0x0.ffffffffffffffffp0L, 0x1p-1022L, -2.252728336819822255604649142023466965703e1L, 2.052268400649188124723641491045245971623e-289L);
+ TEST_c_c (catanh, -0x0.ffffffffffffffffp0L, -0x1p-1022L, -2.252728336819822255604649142023466965703e1L, -2.052268400649188124723641491045245971623e-289L);
+ TEST_c_c (catanh, 0x1p-1022L, 0x0.ffffffffffffffffp0L, 1.112536929253600691605427106449557323148e-308L, 7.853981633974483095885557915077381101984e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, -0x1p-1022L, 0x0.ffffffffffffffffp0L, -1.112536929253600691605427106449557323148e-308L, 7.853981633974483095885557915077381101984e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, 0x1p-1022L, -0x0.ffffffffffffffffp0L, 1.112536929253600691605427106449557323148e-308L, -7.853981633974483095885557915077381101984e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, -0x1p-1022L, -0x0.ffffffffffffffffp0L, -1.112536929253600691605427106449557323148e-308L, -7.853981633974483095885557915077381101984e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+#endif
+#if defined TEST_LDOUBLE && LDBL_MANT_DIG >= 106
+ TEST_c_c (catanh, 0x1.000000000000000000000000008p0L, 0x1p-1022L, 3.673680056967710139911330243728336427098e1L, 1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, 0x1.000000000000000000000000008p0L, -0x1p-1022L, 3.673680056967710139911330243728336427098e1L, -1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, -0x1.000000000000000000000000008p0L, 0x1p-1022L, -3.673680056967710139911330243728336427098e1L, 1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, -0x1.000000000000000000000000008p0L, -0x1p-1022L, -3.673680056967710139911330243728336427098e1L, -1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, 0x1p-1022L, 0x1.000000000000000000000000008p0L, 1.112536929253600691545116358666174605957e-308L, 7.853981633974483096156608458198880470009e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, -0x1p-1022L, 0x1.000000000000000000000000008p0L, -1.112536929253600691545116358666174605957e-308L, 7.853981633974483096156608458198880470009e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, 0x1p-1022L, -0x1.000000000000000000000000008p0L, 1.112536929253600691545116358666174605957e-308L, -7.853981633974483096156608458198880470009e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, -0x1p-1022L, -0x1.000000000000000000000000008p0L, -1.112536929253600691545116358666174605957e-308L, -7.853981633974483096156608458198880470009e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, 0x0.ffffffffffffffffffffffffffcp0L, 0x1p-1022L, 3.708337415995707405382191849801244331055e1L, 9.025971879324147880346310405868788320726e-277L);
+ TEST_c_c (catanh, 0x0.ffffffffffffffffffffffffffcp0L, -0x1p-1022L, 3.708337415995707405382191849801244331055e1L, -9.025971879324147880346310405868788320726e-277L);
+ TEST_c_c (catanh, -0x0.ffffffffffffffffffffffffffcp0L, 0x1p-1022L, -3.708337415995707405382191849801244331055e1L, 9.025971879324147880346310405868788320726e-277L);
+ TEST_c_c (catanh, -0x0.ffffffffffffffffffffffffffcp0L, -0x1p-1022L, -3.708337415995707405382191849801244331055e1L, -9.025971879324147880346310405868788320726e-277L);
+ TEST_c_c (catanh, 0x1p-1022L, 0x0.ffffffffffffffffffffffffffcp0L, 1.112536929253600691545116358666215745186e-308L, 7.853981633974483096156608458198695580735e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, -0x1p-1022L, 0x0.ffffffffffffffffffffffffffcp0L, -1.112536929253600691545116358666215745186e-308L, 7.853981633974483096156608458198695580735e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, 0x1p-1022L, -0x0.ffffffffffffffffffffffffffcp0L, 1.112536929253600691545116358666215745186e-308L, -7.853981633974483096156608458198695580735e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+ TEST_c_c (catanh, -0x1p-1022L, -0x0.ffffffffffffffffffffffffffcp0L, -1.112536929253600691545116358666215745186e-308L, -7.853981633974483096156608458198695580735e-1L, UNDERFLOW_EXCEPTION_DOUBLE);
+#endif
+#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384
+ TEST_c_c (catanh, 1.0L, 0x1p-8192L, 2.839477425163815960027691385553420311121e3L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 1.0L, -0x1p-8192L, 2.839477425163815960027691385553420311121e3L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -1.0L, 0x1p-8192L, -2.839477425163815960027691385553420311121e3L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -1.0L, -0x1p-8192L, -2.839477425163815960027691385553420311121e3L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1p-8192L, 1.0L, 4.584009668887117914053530980121207914891e-2467L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1p-8192L, 1.0L, -4.584009668887117914053530980121207914891e-2467L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1p-8192L, -1.0L, 4.584009668887117914053530980121207914891e-2467L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1p-8192L, -1.0L, -4.584009668887117914053530980121207914891e-2467L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 1.0L, 0x1.3p-8221L, 2.849442134153471837403071201841536297726e3L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 1.0L, -0x1.3p-8221L, 2.849442134153471837403071201841536297726e3L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -1.0L, 0x1.3p-8221L, -2.849442134153471837403071201841536297726e3L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -1.0L, -0x1.3p-8221L, -2.849442134153471837403071201841536297726e3L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1.3p-8221L, 1.0L, 1.013933025636421986471594877335044443409e-2475L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1.3p-8221L, 1.0L, -1.013933025636421986471594877335044443409e-2475L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1.3p-8221L, -1.0L, 1.013933025636421986471594877335044443409e-2475L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1.3p-8221L, -1.0L, -1.013933025636421986471594877335044443409e-2475L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 1.0L, 0x1.3p-8246L, 2.858106473910471153770786603359763504827e3L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 1.0L, -0x1.3p-8246L, 2.858106473910471153770786603359763504827e3L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -1.0L, 0x1.3p-8246L, -2.858106473910471153770786603359763504827e3L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -1.0L, -0x1.3p-8246L, -2.858106473910471153770786603359763504827e3L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1.3p-8246L, 1.0L, 3.021755890954798419688924781486524472858e-2483L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1.3p-8246L, 1.0L, -3.021755890954798419688924781486524472858e-2483L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1.3p-8246L, -1.0L, 3.021755890954798419688924781486524472858e-2483L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1.3p-8246L, -1.0L, -3.021755890954798419688924781486524472858e-2483L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 1.0L, 0x1p-16380L, 5.677221982376232056781839690803195180822e3L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 1.0L, -0x1p-16380L, 5.677221982376232056781839690803195180822e3L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -1.0L, 0x1p-16380L, -5.677221982376232056781839690803195180822e3L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -1.0L, -0x1p-16380L, -5.677221982376232056781839690803195180822e3L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1p-16380L, 1.0L, 6.724206286224187012525355634643505205196e-4932L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1p-16380L, 1.0L, -6.724206286224187012525355634643505205196e-4932L, 7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1p-16380L, -1.0L, 6.724206286224187012525355634643505205196e-4932L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, -0x1p-16380L, -1.0L, -6.724206286224187012525355634643505205196e-4932L, -7.853981633974483096156608458198757210493e-1L);
+ TEST_c_c (catanh, 0x1.0000000000000002p0L, 0x1p-16382L, 2.218070977791824990137853294097378778927e1L, 1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, 0x1.0000000000000002p0L, -0x1p-16382L, 2.218070977791824990137853294097378778927e1L, -1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, -0x1.0000000000000002p0L, 0x1p-16382L, -2.218070977791824990137853294097378778927e1L, 1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, -0x1.0000000000000002p0L, -0x1p-16382L, -2.218070977791824990137853294097378778927e1L, -1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, 0x1p-16382L, 0x1.0000000000000002p0L, 1.681051571556046752949078932066752571182e-4932L, 7.853981633974483096698709544441509427467e-1L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catanh, -0x1p-16382L, 0x1.0000000000000002p0L, -1.681051571556046752949078932066752571182e-4932L, 7.853981633974483096698709544441509427467e-1L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catanh, 0x1p-16382L, -0x1.0000000000000002p0L, 1.681051571556046752949078932066752571182e-4932L, -7.853981633974483096698709544441509427467e-1L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catanh, -0x1p-16382L, -0x1.0000000000000002p0L, -1.681051571556046752949078932066752571182e-4932L, -7.853981633974483096698709544441509427467e-1L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catanh, 0x0.ffffffffffffffffp0L, 0x1p-16382L, 2.252728336819822255604649142023466965703e1L, 3.100992811520163369065387859792822623745e-4913L);
+ TEST_c_c (catanh, 0x0.ffffffffffffffffp0L, -0x1p-16382L, 2.252728336819822255604649142023466965703e1L, -3.100992811520163369065387859792822623745e-4913L);
+ TEST_c_c (catanh, -0x0.ffffffffffffffffp0L, 0x1p-16382L, -2.252728336819822255604649142023466965703e1L, 3.100992811520163369065387859792822623745e-4913L);
+ TEST_c_c (catanh, -0x0.ffffffffffffffffp0L, -0x1p-16382L, -2.252728336819822255604649142023466965703e1L, -3.100992811520163369065387859792822623745e-4913L);
+ TEST_c_c (catanh, 0x1p-16382L, 0x0.ffffffffffffffffp0L, 1.681051571556046753222468896957938166365e-4932L, 7.853981633974483095885557915077381101984e-1L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catanh, -0x1p-16382L, 0x0.ffffffffffffffffp0L, -1.681051571556046753222468896957938166365e-4932L, 7.853981633974483095885557915077381101984e-1L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catanh, 0x1p-16382L, -0x0.ffffffffffffffffp0L, 1.681051571556046753222468896957938166365e-4932L, -7.853981633974483095885557915077381101984e-1L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catanh, -0x1p-16382L, -0x0.ffffffffffffffffp0L, -1.681051571556046753222468896957938166365e-4932L, -7.853981633974483095885557915077381101984e-1L, UNDERFLOW_EXCEPTION);
+# if LDBL_MANT_DIG >= 113
+ TEST_c_c (catanh, 0x1.0000000000000000000000000001p0L, 0x1p-16382L, 3.916281570163690998207361486238697614441e1L, 1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, 0x1.0000000000000000000000000001p0L, -0x1p-16382L, 3.916281570163690998207361486238697614441e1L, -1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, -0x1.0000000000000000000000000001p0L, 0x1p-16382L, -3.916281570163690998207361486238697614441e1L, 1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, -0x1.0000000000000000000000000001p0L, -0x1p-16382L, -3.916281570163690998207361486238697614441e1L, -1.570796326794896619231321691639751442099L);
+ TEST_c_c (catanh, 0x1p-16382L, 0x1.0000000000000000000000000001p0L, 1.681051571556046753131338908660875977540e-4932L, 7.853981633974483096156608458198758173458e-1L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catanh, -0x1p-16382L, 0x1.0000000000000000000000000001p0L, -1.681051571556046753131338908660875977540e-4932L, 7.853981633974483096156608458198758173458e-1L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catanh, 0x1p-16382L, -0x1.0000000000000000000000000001p0L, 1.681051571556046753131338908660875977540e-4932L, -7.853981633974483096156608458198758173458e-1L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catanh, -0x1p-16382L, -0x1.0000000000000000000000000001p0L, -1.681051571556046753131338908660875977540e-4932L, -7.853981633974483096156608458198758173458e-1L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catanh, 0x0.ffffffffffffffffffffffffffff8p0L, 0x1p-16382L, 3.950938929191688263678223092311606435623e1L, 1.745703758805099310527547423749501866998e-4898L);
+ TEST_c_c (catanh, 0x0.ffffffffffffffffffffffffffff8p0L, -0x1p-16382L, 3.950938929191688263678223092311606435623e1L, -1.745703758805099310527547423749501866998e-4898L);
+ TEST_c_c (catanh, -0x0.ffffffffffffffffffffffffffff8p0L, 0x1p-16382L, -3.950938929191688263678223092311606435623e1L, 1.745703758805099310527547423749501866998e-4898L);
+ TEST_c_c (catanh, -0x0.ffffffffffffffffffffffffffff8p0L, -0x1p-16382L, -3.950938929191688263678223092311606435623e1L, -1.745703758805099310527547423749501866998e-4898L);
+ TEST_c_c (catanh, 0x1p-16382L, 0x0.ffffffffffffffffffffffffffff8p0L, 1.681051571556046753131338908660876463178e-4932L, 7.853981633974483096156608458198756729010e-1L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catanh, -0x1p-16382L, 0x0.ffffffffffffffffffffffffffff8p0L, -1.681051571556046753131338908660876463178e-4932L, 7.853981633974483096156608458198756729010e-1L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catanh, 0x1p-16382L, -0x0.ffffffffffffffffffffffffffff8p0L, 1.681051571556046753131338908660876463178e-4932L, -7.853981633974483096156608458198756729010e-1L, UNDERFLOW_EXCEPTION);
+ TEST_c_c (catanh, -0x1p-16382L, -0x0.ffffffffffffffffffffffffffff8p0L, -1.681051571556046753131338908660876463178e-4932L, -7.853981633974483096156608458198756729010e-1L, UNDERFLOW_EXCEPTION);
+# endif
+#endif
TEST_c_c (catanh, 0.75L, 1.25L, 0.261492138795671927078652057366532140L, 0.996825126463918666098902241310446708L);
TEST_c_c (catanh, -2, -3, -0.14694666622552975204743278515471595L, -1.3389725222944935611241935759091443L);
diff --git a/math/s_catan.c b/math/s_catan.c
index 3a041f2245..4da0a0dcac 100644
--- a/math/s_catan.c
+++ b/math/s_catan.c
@@ -77,7 +77,7 @@ __catan (__complex__ double x)
}
else
{
- double r2, num, den, f, absx, absy;
+ double den, absx, absy;
absx = fabs (__real__ x);
absy = fabs (__imag__ x);
@@ -88,10 +88,10 @@ __catan (__complex__ double x)
absy = t;
}
- if (absx >= 1.0)
- den = (1.0 - absx) * (1.0 + absx) - absy * absy;
- else if (absx >= 0.75 && absy < DBL_EPSILON / 2.0)
+ if (absy < DBL_EPSILON / 2.0)
den = (1.0 - absx) * (1.0 + absx);
+ else if (absx >= 1.0)
+ den = (1.0 - absx) * (1.0 + absx) - absy * absy;
else if (absx >= 0.75 || absy >= 0.5)
den = -__x2y2m1 (absx, absy);
else
@@ -99,21 +99,31 @@ __catan (__complex__ double x)
__real__ res = 0.5 * __ieee754_atan2 (2.0 * __real__ x, den);
- r2 = __real__ x * __real__ x;
+ if (fabs (__imag__ x) == 1.0
+ && fabs (__real__ x) < DBL_EPSILON * DBL_EPSILON)
+ __imag__ res = (__copysign (0.5, __imag__ x)
+ * (M_LN2 - __ieee754_log (fabs (__real__ x))));
+ else
+ {
+ double r2 = 0.0, num, f;
- num = __imag__ x + 1.0;
- num = r2 + num * num;
+ if (fabs (__real__ x) >= DBL_EPSILON * DBL_EPSILON)
+ r2 = __real__ x * __real__ x;
- den = __imag__ x - 1.0;
- den = r2 + den * den;
+ num = __imag__ x + 1.0;
+ num = r2 + num * num;
- f = num / den;
- if (f < 0.5)
- __imag__ res = 0.25 * __ieee754_log (f);
- else
- {
- num = 4.0 * __imag__ x;
- __imag__ res = 0.25 * __log1p (num / den);
+ den = __imag__ x - 1.0;
+ den = r2 + den * den;
+
+ f = num / den;
+ if (f < 0.5)
+ __imag__ res = 0.25 * __ieee754_log (f);
+ else
+ {
+ num = 4.0 * __imag__ x;
+ __imag__ res = 0.25 * __log1p (num / den);
+ }
}
}
diff --git a/math/s_catanf.c b/math/s_catanf.c
index 698e2af461..0713565c86 100644
--- a/math/s_catanf.c
+++ b/math/s_catanf.c
@@ -78,7 +78,7 @@ __catanf (__complex__ float x)
}
else
{
- float r2, num, den, f, absx, absy;
+ float den, absx, absy;
absx = fabsf (__real__ x);
absy = fabsf (__imag__ x);
@@ -89,10 +89,10 @@ __catanf (__complex__ float x)
absy = t;
}
- if (absx >= 1.0f)
- den = (1.0f - absx) * (1.0f + absx) - absy * absy;
- else if (absx >= 0.75f && absy < FLT_EPSILON / 2.0f)
+ if (absy < FLT_EPSILON / 2.0f)
den = (1.0f - absx) * (1.0f + absx);
+ else if (absx >= 1.0f)
+ den = (1.0f - absx) * (1.0f + absx) - absy * absy;
else if (absx >= 0.75f || absy >= 0.5f)
den = -__x2y2m1f (absx, absy);
else
@@ -100,21 +100,32 @@ __catanf (__complex__ float x)
__real__ res = 0.5f * __ieee754_atan2f (2.0f * __real__ x, den);
- r2 = __real__ x * __real__ x;
+ if (fabsf (__imag__ x) == 1.0f
+ && fabsf (__real__ x) < FLT_EPSILON * FLT_EPSILON)
+ __imag__ res = (__copysignf (0.5f, __imag__ x)
+ * ((float) M_LN2
+ - __ieee754_logf (fabsf (__real__ x))));
+ else
+ {
+ float r2 = 0.0f, num, f;
- num = __imag__ x + 1.0f;
- num = r2 + num * num;
+ if (fabsf (__real__ x) >= FLT_EPSILON * FLT_EPSILON)
+ r2 = __real__ x * __real__ x;
- den = __imag__ x - 1.0f;
- den = r2 + den * den;
+ num = __imag__ x + 1.0f;
+ num = r2 + num * num;
- f = num / den;
- if (f < 0.5f)
- __imag__ res = 0.25f * __ieee754_logf (f);
- else
- {
- num = 4.0f * __imag__ x;
- __imag__ res = 0.25f * __log1pf (num / den);
+ den = __imag__ x - 1.0f;
+ den = r2 + den * den;
+
+ f = num / den;
+ if (f < 0.5f)
+ __imag__ res = 0.25f * __ieee754_logf (f);
+ else
+ {
+ num = 4.0f * __imag__ x;
+ __imag__ res = 0.25f * __log1pf (num / den);
+ }
}
}
diff --git a/math/s_catanh.c b/math/s_catanh.c
index 5248cbc0c8..54be9f9e41 100644
--- a/math/s_catanh.c
+++ b/math/s_catanh.c
@@ -72,24 +72,33 @@ __catanh (__complex__ double x)
}
else
{
- double i2 = __imag__ x * __imag__ x;
+ if (fabs (__real__ x) == 1.0
+ && fabs (__imag__ x) < DBL_EPSILON * DBL_EPSILON)
+ __real__ res = (__copysign (0.5, __real__ x)
+ * (M_LN2 - __ieee754_log (fabs (__imag__ x))));
+ else
+ {
+ double i2 = 0.0;
+ if (fabs (__imag__ x) >= DBL_EPSILON * DBL_EPSILON)
+ i2 = __imag__ x * __imag__ x;
- double num = 1.0 + __real__ x;
- num = i2 + num * num;
+ double num = 1.0 + __real__ x;
+ num = i2 + num * num;
- double den = 1.0 - __real__ x;
- den = i2 + den * den;
+ double den = 1.0 - __real__ x;
+ den = i2 + den * den;
- double f = num / den;
- if (f < 0.5)
- __real__ res = 0.25 * __ieee754_log (f);
- else
- {
- num = 4.0 * __real__ x;
- __real__ res = 0.25 * __log1p (num / den);
+ double f = num / den;
+ if (f < 0.5)
+ __real__ res = 0.25 * __ieee754_log (f);
+ else
+ {
+ num = 4.0 * __real__ x;
+ __real__ res = 0.25 * __log1p (num / den);
+ }
}
- double absx, absy;
+ double absx, absy, den;
absx = fabs (__real__ x);
absy = fabs (__imag__ x);
@@ -100,10 +109,10 @@ __catanh (__complex__ double x)
absy = t;
}
- if (absx >= 1.0)
- den = (1.0 - absx) * (1.0 + absx) - absy * absy;
- else if (absx >= 0.75 && absy < DBL_EPSILON / 2.0)
+ if (absy < DBL_EPSILON / 2.0)
den = (1.0 - absx) * (1.0 + absx);
+ else if (absx >= 1.0)
+ den = (1.0 - absx) * (1.0 + absx) - absy * absy;
else if (absx >= 0.75 || absy >= 0.5)
den = -__x2y2m1 (absx, absy);
else
diff --git a/math/s_catanhf.c b/math/s_catanhf.c
index 249deb5669..0a08b95b58 100644
--- a/math/s_catanhf.c
+++ b/math/s_catanhf.c
@@ -73,24 +73,34 @@ __catanhf (__complex__ float x)
}
else
{
- float i2 = __imag__ x * __imag__ x;
+ if (fabsf (__real__ x) == 1.0f
+ && fabsf (__imag__ x) < FLT_EPSILON * FLT_EPSILON)
+ __real__ res = (__copysignf (0.5f, __real__ x)
+ * ((float) M_LN2
+ - __ieee754_logf (fabsf (__imag__ x))));
+ else
+ {
+ float i2 = 0.0f;
+ if (fabsf (__imag__ x) >= FLT_EPSILON * FLT_EPSILON)
+ i2 = __imag__ x * __imag__ x;
- float num = 1.0f + __real__ x;
- num = i2 + num * num;
+ float num = 1.0f + __real__ x;
+ num = i2 + num * num;
- float den = 1.0f - __real__ x;
- den = i2 + den * den;
+ float den = 1.0f - __real__ x;
+ den = i2 + den * den;
- float f = num / den;
- if (f < 0.5f)
- __real__ res = 0.25f * __ieee754_logf (f);
- else
- {
- num = 4.0f * __real__ x;
- __real__ res = 0.25f * __log1pf (num / den);
+ float f = num / den;
+ if (f < 0.5f)
+ __real__ res = 0.25f * __ieee754_logf (f);
+ else
+ {
+ num = 4.0f * __real__ x;
+ __real__ res = 0.25f * __log1pf (num / den);
+ }
}
- float absx, absy;
+ float absx, absy, den;
absx = fabsf (__real__ x);
absy = fabsf (__imag__ x);
@@ -101,10 +111,10 @@ __catanhf (__complex__ float x)
absy = t;
}
- if (absx >= 1.0f)
- den = (1.0f - absx) * (1.0f + absx) - absy * absy;
- else if (absx >= 0.75f && absy < FLT_EPSILON / 2.0f)
+ if (absy < FLT_EPSILON / 2.0f)
den = (1.0f - absx) * (1.0f + absx);
+ else if (absx >= 1.0f)
+ den = (1.0f - absx) * (1.0f + absx) - absy * absy;
else if (absx >= 0.75f || absy >= 0.5f)
den = -__x2y2m1f (absx, absy);
else
diff --git a/math/s_catanhl.c b/math/s_catanhl.c
index ab75b807e0..8c4b8940c0 100644
--- a/math/s_catanhl.c
+++ b/math/s_catanhl.c
@@ -80,24 +80,33 @@ __catanhl (__complex__ long double x)
}
else
{
- long double i2 = __imag__ x * __imag__ x;
-
- long double num = 1.0L + __real__ x;
- num = i2 + num * num;
-
- long double den = 1.0L - __real__ x;
- den = i2 + den * den;
-
- long double f = num / den;
- if (f < 0.5L)
- __real__ res = 0.25L * __ieee754_logl (f);
+ if (fabsl (__real__ x) == 1.0L
+ && fabsl (__imag__ x) < LDBL_EPSILON * LDBL_EPSILON)
+ __real__ res = (__copysignl (0.5L, __real__ x)
+ * (M_LN2l - __ieee754_logl (fabsl (__imag__ x))));
else
{
- num = 4.0L * __real__ x;
- __real__ res = 0.25L * __log1pl (num / den);
+ long double i2 = 0.0;
+ if (fabsl (__imag__ x) >= LDBL_EPSILON * LDBL_EPSILON)
+ i2 = __imag__ x * __imag__ x;
+
+ long double num = 1.0L + __real__ x;
+ num = i2 + num * num;
+
+ long double den = 1.0L - __real__ x;
+ den = i2 + den * den;
+
+ long double f = num / den;
+ if (f < 0.5L)
+ __real__ res = 0.25L * __ieee754_logl (f);
+ else
+ {
+ num = 4.0L * __real__ x;
+ __real__ res = 0.25L * __log1pl (num / den);
+ }
}
- long double absx, absy;
+ long double absx, absy, den;
absx = fabsl (__real__ x);
absy = fabsl (__imag__ x);
@@ -108,10 +117,10 @@ __catanhl (__complex__ long double x)
absy = t;
}
- if (absx >= 1.0L)
- den = (1.0L - absx) * (1.0L + absx) - absy * absy;
- else if (absx >= 0.75 && absy < LDBL_EPSILON / 2.0L)
+ if (absy < LDBL_EPSILON / 2.0L)
den = (1.0L - absx) * (1.0L + absx);
+ else if (absx >= 1.0L)
+ den = (1.0L - absx) * (1.0L + absx) - absy * absy;
else if (absx >= 0.75L || absy >= 0.5L)
den = -__x2y2m1l (absx, absy);
else
diff --git a/math/s_catanl.c b/math/s_catanl.c
index 1a815ad776..9bb5e012e6 100644
--- a/math/s_catanl.c
+++ b/math/s_catanl.c
@@ -85,7 +85,7 @@ __catanl (__complex__ long double x)
}
else
{
- long double r2, num, den, f, absx, absy;
+ long double den, absx, absy;
absx = fabsl (__real__ x);
absy = fabsl (__imag__ x);
@@ -96,10 +96,10 @@ __catanl (__complex__ long double x)
absy = t;
}
- if (absx >= 1.0L)
- den = (1.0L - absx) * (1.0L + absx) - absy * absy;
- else if (absx >= 0.75L && absy < LDBL_EPSILON / 2.0L)
+ if (absy < LDBL_EPSILON / 2.0L)
den = (1.0L - absx) * (1.0L + absx);
+ else if (absx >= 1.0L)
+ den = (1.0L - absx) * (1.0L + absx) - absy * absy;
else if (absx >= 0.75L || absy >= 0.5L)
den = -__x2y2m1l (absx, absy);
else
@@ -107,21 +107,31 @@ __catanl (__complex__ long double x)
__real__ res = 0.5L * __ieee754_atan2l (2.0L * __real__ x, den);
- r2 = __real__ x * __real__ x;
+ if (fabsl (__imag__ x) == 1.0L
+ && fabsl (__real__ x) < LDBL_EPSILON * LDBL_EPSILON)
+ __imag__ res = (__copysignl (0.5L, __imag__ x)
+ * (M_LN2l - __ieee754_logl (fabsl (__real__ x))));
+ else
+ {
+ long double r2 = 0.0L, num, f;
- num = __imag__ x + 1.0L;
- num = r2 + num * num;
+ if (fabsl (__real__ x) >= LDBL_EPSILON * LDBL_EPSILON)
+ r2 = __real__ x * __real__ x;
- den = __imag__ x - 1.0L;
- den = r2 + den * den;
+ num = __imag__ x + 1.0L;
+ num = r2 + num * num;
- f = num / den;
- if (f < 0.5L)
- __imag__ res = 0.25L * __ieee754_logl (f);
- else
- {
- num = 4.0L * __imag__ x;
- __imag__ res = 0.25L * __log1pl (num / den);
+ den = __imag__ x - 1.0L;
+ den = r2 + den * den;
+
+ f = num / den;
+ if (f < 0.5L)
+ __imag__ res = 0.25L * __ieee754_logl (f);
+ else
+ {
+ num = 4.0L * __imag__ x;
+ __imag__ res = 0.25L * __log1pl (num / den);
+ }
}
}
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-08 08:48:08 +0000