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Fix ldbl-96, ldbl-128ibm atanhl inaccuracy (bug 18046, bug 18047).

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The threshold in ldbl-96 atanhl for when to return the argument,
0x1p-28, is a bit too big, and that in ldbl-128ibm atanhl is much too
big (the relevant condition being x^3/3 being < 0.5ulp of x),
resulting in errors a bit above the limits of those considered
acceptable in glibc in the ldbl-96 case, and in large errors in the
ldbl-128ibm case.  This patch changes those implementations to use
more appropriate thresholds and adds tests around the thresholds for
various formats.

Tested for x86_64, x86 and powerpc.  x86_64 and x86 ulps updated
accordingly.

	[BZ #18046]
	[BZ #18047]
	* sysdeps/ieee754/ldbl-128ibm/e_atanhl.c (__ieee754_atanhl): Use
	0x1p-56L as threshold for just returning the argument.
	* sysdeps/ieee754/ldbl-96/e_atanhl.c (__ieee754_atanhl): Use
	0x1p-32L as threshold for just returning the argument.
	* math/auto-libm-test-in: Add more tests of atanh.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulp: Likewise.
This commit is contained in:
Joseph Myers 2015-02-27 17:48:37 +00:00
parent af96be3482
commit 2ca725c594
8 changed files with 930 additions and 4 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

13
ChangeLog
View File

@ -1,3 +1,16 @@
2015-02-27 Joseph Myers <joseph@codesourcery.com>
[BZ #18046]
[BZ #18047]
* sysdeps/ieee754/ldbl-128ibm/e_atanhl.c (__ieee754_atanhl): Use
0x1p-56L as threshold for just returning the argument.
* sysdeps/ieee754/ldbl-96/e_atanhl.c (__ieee754_atanhl): Use
0x1p-32L as threshold for just returning the argument.
* math/auto-libm-test-in: Add more tests of atanh.
* math/auto-libm-test-out: Regenerated.
* sysdeps/i386/fpu/libm-test-ulps: Update.
* sysdeps/x86_64/fpu/libm-test-ulp: Likewise.
2015-02-27 Wilco Dijkstra wdijkstr@arm.com
* string/bcopy.c (bcopy): Call memmove for performance.

3
NEWS
View File

@ -12,7 +12,8 @@ Version 2.22
4719, 14841, 13064, 14094, 15319, 15467, 15790, 15969, 16351, 16560,
16783, 17269, 17523, 17569, 17588, 17792, 17836, 17912, 17916, 17932,
17944, 17949, 17964, 17965, 17967, 17969, 17978, 17987, 17991, 17996,
17998, 17999, 18019, 18020, 18029, 18030, 18032, 18038, 18039.
17998, 17999, 18019, 18020, 18029, 18030, 18032, 18038, 18039, 18046,
18047.
* Character encoding and ctype tables were updated to Unicode 7.0.0, using
new generator scripts contributed by Pravin Satpute and Mike FABIAN (Red

31
math/auto-libm-test-in
View File

@ -300,7 +300,38 @@ atanh 0.25
atanh 0x1p-5
atanh 0x1p-10
atanh 0x1.2345p-20
atanh 0x1p-8
atanh 0x1p-9
atanh 0x1p-10
atanh 0x1p-11
atanh 0x1p-12
atanh 0x1p-13
atanh 0x1p-24
atanh 0x1p-25
atanh 0x1p-26
atanh 0x1p-27
atanh 0x1p-28
atanh 0x1p-29
atanh 0x1p-30
atanh 0x1p-31
atanh 0x1p-32
atanh 0x1p-33
atanh 0x1p-48
atanh 0x1p-49
atanh 0x1p-50
atanh 0x1p-51
atanh 0x1p-52
atanh 0x1p-53
atanh 0x1p-54
atanh 0x1p-55
atanh 0x1p-56
atanh 0x1p-57
atanh 0x1p-58
atanh 0x1p-59
atanh 0x1p-100
# Bug 16352: underflow exception may be missing.
atanh 0x1p-500 missing-underflow
atanh 0x1p-5000 missing-underflow
atanh min missing-underflow
atanh -min missing-underflow
atanh min_subnorm missing-underflow

875
math/auto-libm-test-out
View File

@ -17635,6 +17635,881 @@ atanh 0x1.2345p-20
= atanh tonearest ldbl-128ibm 0x1.2345p-20L : 0x1.23450000007daf665297209f1ap-20L : inexact-ok
= atanh towardzero ldbl-128ibm 0x1.2345p-20L : 0x1.23450000007daf665297209f198p-20L : inexact-ok
= atanh upward ldbl-128ibm 0x1.2345p-20L : 0x1.23450000007daf665297209f1ap-20L : inexact-ok
atanh 0x1p-8
= atanh downward flt-32 0x1p-8f : 0x1.000054p-8f : inexact-ok
= atanh tonearest flt-32 0x1p-8f : 0x1.000056p-8f : inexact-ok
= atanh towardzero flt-32 0x1p-8f : 0x1.000054p-8f : inexact-ok
= atanh upward flt-32 0x1p-8f : 0x1.000056p-8f : inexact-ok
= atanh downward dbl-64 0x1p-8 : 0x1.000055558888ap-8 : inexact-ok
= atanh tonearest dbl-64 0x1p-8 : 0x1.000055558888bp-8 : inexact-ok
= atanh towardzero dbl-64 0x1p-8 : 0x1.000055558888ap-8 : inexact-ok
= atanh upward dbl-64 0x1p-8 : 0x1.000055558888bp-8 : inexact-ok
= atanh downward ldbl-96-intel 0x1p-8L : 0x1.000055558888ad1ap-8L : inexact-ok
= atanh tonearest ldbl-96-intel 0x1p-8L : 0x1.000055558888ad1ap-8L : inexact-ok
= atanh towardzero ldbl-96-intel 0x1p-8L : 0x1.000055558888ad1ap-8L : inexact-ok
= atanh upward ldbl-96-intel 0x1p-8L : 0x1.000055558888ad1cp-8L : inexact-ok
= atanh downward ldbl-96-m68k 0x1p-8L : 0x1.000055558888ad1ap-8L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x1p-8L : 0x1.000055558888ad1ap-8L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x1p-8L : 0x1.000055558888ad1ap-8L : inexact-ok
= atanh upward ldbl-96-m68k 0x1p-8L : 0x1.000055558888ad1cp-8L : inexact-ok
= atanh downward ldbl-128 0x1p-8L : 0x1.000055558888ad1aee1ef9340407p-8L : inexact-ok
= atanh tonearest ldbl-128 0x1p-8L : 0x1.000055558888ad1aee1ef9340408p-8L : inexact-ok
= atanh towardzero ldbl-128 0x1p-8L : 0x1.000055558888ad1aee1ef9340407p-8L : inexact-ok
= atanh upward ldbl-128 0x1p-8L : 0x1.000055558888ad1aee1ef9340408p-8L : inexact-ok
= atanh downward ldbl-128ibm 0x1p-8L : 0x1.000055558888ad1aee1ef93404p-8L : inexact-ok
= atanh tonearest ldbl-128ibm 0x1p-8L : 0x1.000055558888ad1aee1ef93404p-8L : inexact-ok
= atanh towardzero ldbl-128ibm 0x1p-8L : 0x1.000055558888ad1aee1ef93404p-8L : inexact-ok
= atanh upward ldbl-128ibm 0x1p-8L : 0x1.000055558888ad1aee1ef934048p-8L : inexact-ok
atanh 0x1p-9
= atanh downward flt-32 0x8p-12f : 0x8.0000ap-12f : inexact-ok
= atanh tonearest flt-32 0x8p-12f : 0x8.0000bp-12f : inexact-ok
= atanh towardzero flt-32 0x8p-12f : 0x8.0000ap-12f : inexact-ok
= atanh upward flt-32 0x8p-12f : 0x8.0000bp-12f : inexact-ok
= atanh downward dbl-64 0x8p-12 : 0x8.0000aaaac444p-12 : inexact-ok
= atanh tonearest dbl-64 0x8p-12 : 0x8.0000aaaac4448p-12 : inexact-ok
= atanh towardzero dbl-64 0x8p-12 : 0x8.0000aaaac444p-12 : inexact-ok
= atanh upward dbl-64 0x8p-12 : 0x8.0000aaaac4448p-12 : inexact-ok
= atanh downward ldbl-96-intel 0x8p-12L : 0x8.0000aaaac44448dp-12L : inexact-ok
= atanh tonearest ldbl-96-intel 0x8p-12L : 0x8.0000aaaac44448dp-12L : inexact-ok
= atanh towardzero ldbl-96-intel 0x8p-12L : 0x8.0000aaaac44448dp-12L : inexact-ok
= atanh upward ldbl-96-intel 0x8p-12L : 0x8.0000aaaac44448ep-12L : inexact-ok
= atanh downward ldbl-96-m68k 0x8p-12L : 0x8.0000aaaac44448dp-12L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x8p-12L : 0x8.0000aaaac44448dp-12L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x8p-12L : 0x8.0000aaaac44448dp-12L : inexact-ok
= atanh upward ldbl-96-m68k 0x8p-12L : 0x8.0000aaaac44448ep-12L : inexact-ok
= atanh downward ldbl-128 0x8p-12L : 0x8.0000aaaac44448d68e4c64f4d81p-12L : inexact-ok
= atanh tonearest ldbl-128 0x8p-12L : 0x8.0000aaaac44448d68e4c64f4d81p-12L : inexact-ok
= atanh towardzero ldbl-128 0x8p-12L : 0x8.0000aaaac44448d68e4c64f4d81p-12L : inexact-ok
= atanh upward ldbl-128 0x8p-12L : 0x8.0000aaaac44448d68e4c64f4d818p-12L : inexact-ok
= atanh downward ldbl-128ibm 0x8p-12L : 0x8.0000aaaac44448d68e4c64f4d8p-12L : inexact-ok
= atanh tonearest ldbl-128ibm 0x8p-12L : 0x8.0000aaaac44448d68e4c64f4d8p-12L : inexact-ok
= atanh towardzero ldbl-128ibm 0x8p-12L : 0x8.0000aaaac44448d68e4c64f4d8p-12L : inexact-ok
= atanh upward ldbl-128ibm 0x8p-12L : 0x8.0000aaaac44448d68e4c64f4dcp-12L : inexact-ok
atanh 0x1p-10
= atanh downward flt-32 0x4p-12f : 0x4.00001p-12f : inexact-ok
= atanh tonearest flt-32 0x4p-12f : 0x4.000018p-12f : inexact-ok
= atanh towardzero flt-32 0x4p-12f : 0x4.00001p-12f : inexact-ok
= atanh upward flt-32 0x4p-12f : 0x4.000018p-12f : inexact-ok
= atanh downward dbl-64 0x4p-12 : 0x4.000015555622p-12 : inexact-ok
= atanh tonearest dbl-64 0x4p-12 : 0x4.0000155556224p-12 : inexact-ok
= atanh towardzero dbl-64 0x4p-12 : 0x4.000015555622p-12 : inexact-ok
= atanh upward dbl-64 0x4p-12 : 0x4.0000155556224p-12 : inexact-ok
= atanh downward ldbl-96-intel 0x4p-12L : 0x4.0000155556222228p-12L : inexact-ok
= atanh tonearest ldbl-96-intel 0x4p-12L : 0x4.0000155556222228p-12L : inexact-ok
= atanh towardzero ldbl-96-intel 0x4p-12L : 0x4.0000155556222228p-12L : inexact-ok
= atanh upward ldbl-96-intel 0x4p-12L : 0x4.000015555622223p-12L : inexact-ok
= atanh downward ldbl-96-m68k 0x4p-12L : 0x4.0000155556222228p-12L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x4p-12L : 0x4.0000155556222228p-12L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x4p-12L : 0x4.0000155556222228p-12L : inexact-ok
= atanh upward ldbl-96-m68k 0x4p-12L : 0x4.000015555622223p-12L : inexact-ok
= atanh downward ldbl-128 0x4p-12L : 0x4.000015555622222b46b4dd0dd6acp-12L : inexact-ok
= atanh tonearest ldbl-128 0x4p-12L : 0x4.000015555622222b46b4dd0dd6bp-12L : inexact-ok
= atanh towardzero ldbl-128 0x4p-12L : 0x4.000015555622222b46b4dd0dd6acp-12L : inexact-ok
= atanh upward ldbl-128 0x4p-12L : 0x4.000015555622222b46b4dd0dd6bp-12L : inexact-ok
= atanh downward ldbl-128ibm 0x4p-12L : 0x4.000015555622222b46b4dd0dd6p-12L : inexact-ok
= atanh tonearest ldbl-128ibm 0x4p-12L : 0x4.000015555622222b46b4dd0dd6p-12L : inexact-ok
= atanh towardzero ldbl-128ibm 0x4p-12L : 0x4.000015555622222b46b4dd0dd6p-12L : inexact-ok
= atanh upward ldbl-128ibm 0x4p-12L : 0x4.000015555622222b46b4dd0dd8p-12L : inexact-ok
atanh 0x1p-11
= atanh downward flt-32 0x2p-12f : 0x2p-12f : inexact-ok
= atanh tonearest flt-32 0x2p-12f : 0x2.000004p-12f : inexact-ok
= atanh towardzero flt-32 0x2p-12f : 0x2p-12f : inexact-ok
= atanh upward flt-32 0x2p-12f : 0x2.000004p-12f : inexact-ok
= atanh downward dbl-64 0x2p-12 : 0x2.000002aaaab1p-12 : inexact-ok
= atanh tonearest dbl-64 0x2p-12 : 0x2.000002aaaab12p-12 : inexact-ok
= atanh towardzero dbl-64 0x2p-12 : 0x2.000002aaaab1p-12 : inexact-ok
= atanh upward dbl-64 0x2p-12 : 0x2.000002aaaab12p-12 : inexact-ok
= atanh downward ldbl-96-intel 0x2p-12L : 0x2.000002aaaab1111p-12L : inexact-ok
= atanh tonearest ldbl-96-intel 0x2p-12L : 0x2.000002aaaab1111p-12L : inexact-ok
= atanh towardzero ldbl-96-intel 0x2p-12L : 0x2.000002aaaab1111p-12L : inexact-ok
= atanh upward ldbl-96-intel 0x2p-12L : 0x2.000002aaaab11114p-12L : inexact-ok
= atanh downward ldbl-96-m68k 0x2p-12L : 0x2.000002aaaab1111p-12L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x2p-12L : 0x2.000002aaaab1111p-12L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x2p-12L : 0x2.000002aaaab1111p-12L : inexact-ok
= atanh upward ldbl-96-m68k 0x2p-12L : 0x2.000002aaaab11114p-12L : inexact-ok
= atanh downward ldbl-128 0x2p-12L : 0x2.000002aaaab11111235a35dc3dc4p-12L : inexact-ok
= atanh tonearest ldbl-128 0x2p-12L : 0x2.000002aaaab11111235a35dc3dc4p-12L : inexact-ok
= atanh towardzero ldbl-128 0x2p-12L : 0x2.000002aaaab11111235a35dc3dc4p-12L : inexact-ok
= atanh upward ldbl-128 0x2p-12L : 0x2.000002aaaab11111235a35dc3dc6p-12L : inexact-ok
= atanh downward ldbl-128ibm 0x2p-12L : 0x2.000002aaaab11111235a35dc3dp-12L : inexact-ok
= atanh tonearest ldbl-128ibm 0x2p-12L : 0x2.000002aaaab11111235a35dc3ep-12L : inexact-ok
= atanh towardzero ldbl-128ibm 0x2p-12L : 0x2.000002aaaab11111235a35dc3dp-12L : inexact-ok
= atanh upward ldbl-128ibm 0x2p-12L : 0x2.000002aaaab11111235a35dc3ep-12L : inexact-ok
atanh 0x1p-12
= atanh downward flt-32 0x1p-12f : 0x1p-12f : inexact-ok
= atanh tonearest flt-32 0x1p-12f : 0x1p-12f : inexact-ok
= atanh towardzero flt-32 0x1p-12f : 0x1p-12f : inexact-ok
= atanh upward flt-32 0x1p-12f : 0x1.000002p-12f : inexact-ok
= atanh downward dbl-64 0x1p-12 : 0x1.0000005555558p-12 : inexact-ok
= atanh tonearest dbl-64 0x1p-12 : 0x1.0000005555559p-12 : inexact-ok
= atanh towardzero dbl-64 0x1p-12 : 0x1.0000005555558p-12 : inexact-ok
= atanh upward dbl-64 0x1p-12 : 0x1.0000005555559p-12 : inexact-ok
= atanh downward ldbl-96-intel 0x1p-12L : 0x1.0000005555558888p-12L : inexact-ok
= atanh tonearest ldbl-96-intel 0x1p-12L : 0x1.0000005555558888p-12L : inexact-ok
= atanh towardzero ldbl-96-intel 0x1p-12L : 0x1.0000005555558888p-12L : inexact-ok
= atanh upward ldbl-96-intel 0x1p-12L : 0x1.000000555555888ap-12L : inexact-ok
= atanh downward ldbl-96-m68k 0x1p-12L : 0x1.0000005555558888p-12L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x1p-12L : 0x1.0000005555558888p-12L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x1p-12L : 0x1.0000005555558888p-12L : inexact-ok
= atanh upward ldbl-96-m68k 0x1p-12L : 0x1.000000555555888ap-12L : inexact-ok
= atanh downward ldbl-128 0x1p-12L : 0x1.000000555555888888ad1ad1c98cp-12L : inexact-ok
= atanh tonearest ldbl-128 0x1p-12L : 0x1.000000555555888888ad1ad1c98dp-12L : inexact-ok
= atanh towardzero ldbl-128 0x1p-12L : 0x1.000000555555888888ad1ad1c98cp-12L : inexact-ok
= atanh upward ldbl-128 0x1p-12L : 0x1.000000555555888888ad1ad1c98dp-12L : inexact-ok
= atanh downward ldbl-128ibm 0x1p-12L : 0x1.000000555555888888ad1ad1c98p-12L : inexact-ok
= atanh tonearest ldbl-128ibm 0x1p-12L : 0x1.000000555555888888ad1ad1c98p-12L : inexact-ok
= atanh towardzero ldbl-128ibm 0x1p-12L : 0x1.000000555555888888ad1ad1c98p-12L : inexact-ok
= atanh upward ldbl-128ibm 0x1p-12L : 0x1.000000555555888888ad1ad1cap-12L : inexact-ok
atanh 0x1p-13
= atanh downward flt-32 0x8p-16f : 0x8p-16f : inexact-ok
= atanh tonearest flt-32 0x8p-16f : 0x8p-16f : inexact-ok
= atanh towardzero flt-32 0x8p-16f : 0x8p-16f : inexact-ok
= atanh upward flt-32 0x8p-16f : 0x8.00001p-16f : inexact-ok
= atanh downward dbl-64 0x8p-16 : 0x8.000000aaaaaa8p-16 : inexact-ok
= atanh tonearest dbl-64 0x8p-16 : 0x8.000000aaaaabp-16 : inexact-ok
= atanh towardzero dbl-64 0x8p-16 : 0x8.000000aaaaaa8p-16 : inexact-ok
= atanh upward dbl-64 0x8p-16 : 0x8.000000aaaaabp-16 : inexact-ok
= atanh downward ldbl-96-intel 0x8p-16L : 0x8.000000aaaaaac44p-16L : inexact-ok
= atanh tonearest ldbl-96-intel 0x8p-16L : 0x8.000000aaaaaac44p-16L : inexact-ok
= atanh towardzero ldbl-96-intel 0x8p-16L : 0x8.000000aaaaaac44p-16L : inexact-ok
= atanh upward ldbl-96-intel 0x8p-16L : 0x8.000000aaaaaac45p-16L : inexact-ok
= atanh downward ldbl-96-m68k 0x8p-16L : 0x8.000000aaaaaac44p-16L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x8p-16L : 0x8.000000aaaaaac44p-16L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x8p-16L : 0x8.000000aaaaaac44p-16L : inexact-ok
= atanh upward ldbl-96-m68k 0x8p-16L : 0x8.000000aaaaaac45p-16L : inexact-ok
= atanh downward ldbl-128 0x8p-16L : 0x8.000000aaaaaac4444448d68d69b8p-16L : inexact-ok
= atanh tonearest ldbl-128 0x8p-16L : 0x8.000000aaaaaac4444448d68d69b8p-16L : inexact-ok
= atanh towardzero ldbl-128 0x8p-16L : 0x8.000000aaaaaac4444448d68d69b8p-16L : inexact-ok
= atanh upward ldbl-128 0x8p-16L : 0x8.000000aaaaaac4444448d68d69cp-16L : inexact-ok
= atanh downward ldbl-128ibm 0x8p-16L : 0x8.000000aaaaaac4444448d68d68p-16L : inexact-ok
= atanh tonearest ldbl-128ibm 0x8p-16L : 0x8.000000aaaaaac4444448d68d68p-16L : inexact-ok
= atanh towardzero ldbl-128ibm 0x8p-16L : 0x8.000000aaaaaac4444448d68d68p-16L : inexact-ok
= atanh upward ldbl-128ibm 0x8p-16L : 0x8.000000aaaaaac4444448d68d6cp-16L : inexact-ok
atanh 0x1p-24
= atanh downward flt-32 0x1p-24f : 0x1p-24f : inexact-ok
= atanh tonearest flt-32 0x1p-24f : 0x1p-24f : inexact-ok
= atanh towardzero flt-32 0x1p-24f : 0x1p-24f : inexact-ok
= atanh upward flt-32 0x1p-24f : 0x1.000002p-24f : inexact-ok
= atanh downward dbl-64 0x1p-24 : 0x1.0000000000005p-24 : inexact-ok
= atanh tonearest dbl-64 0x1p-24 : 0x1.0000000000005p-24 : inexact-ok
= atanh towardzero dbl-64 0x1p-24 : 0x1.0000000000005p-24 : inexact-ok
= atanh upward dbl-64 0x1p-24 : 0x1.0000000000006p-24 : inexact-ok
= atanh downward ldbl-96-intel 0x1p-24L : 0x1.0000000000005554p-24L : inexact-ok
= atanh tonearest ldbl-96-intel 0x1p-24L : 0x1.0000000000005556p-24L : inexact-ok
= atanh towardzero ldbl-96-intel 0x1p-24L : 0x1.0000000000005554p-24L : inexact-ok
= atanh upward ldbl-96-intel 0x1p-24L : 0x1.0000000000005556p-24L : inexact-ok
= atanh downward ldbl-96-m68k 0x1p-24L : 0x1.0000000000005554p-24L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x1p-24L : 0x1.0000000000005556p-24L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x1p-24L : 0x1.0000000000005554p-24L : inexact-ok
= atanh upward ldbl-96-m68k 0x1p-24L : 0x1.0000000000005556p-24L : inexact-ok
= atanh downward ldbl-128 0x1p-24L : 0x1.0000000000005555555555558888p-24L : inexact-ok
= atanh tonearest ldbl-128 0x1p-24L : 0x1.0000000000005555555555558889p-24L : inexact-ok
= atanh towardzero ldbl-128 0x1p-24L : 0x1.0000000000005555555555558888p-24L : inexact-ok
= atanh upward ldbl-128 0x1p-24L : 0x1.0000000000005555555555558889p-24L : inexact-ok
= atanh downward ldbl-128ibm 0x1p-24L : 0x1.000000000000555555555555888p-24L : inexact-ok
= atanh tonearest ldbl-128ibm 0x1p-24L : 0x1.000000000000555555555555888p-24L : inexact-ok
= atanh towardzero ldbl-128ibm 0x1p-24L : 0x1.000000000000555555555555888p-24L : inexact-ok
= atanh upward ldbl-128ibm 0x1p-24L : 0x1.00000000000055555555555589p-24L : inexact-ok
atanh 0x1p-25
= atanh downward flt-32 0x8p-28f : 0x8p-28f : inexact-ok
= atanh tonearest flt-32 0x8p-28f : 0x8p-28f : inexact-ok
= atanh towardzero flt-32 0x8p-28f : 0x8p-28f : inexact-ok
= atanh upward flt-32 0x8p-28f : 0x8.00001p-28f : inexact-ok
= atanh downward dbl-64 0x8p-28 : 0x8.0000000000008p-28 : inexact-ok
= atanh tonearest dbl-64 0x8p-28 : 0x8.0000000000008p-28 : inexact-ok
= atanh towardzero dbl-64 0x8p-28 : 0x8.0000000000008p-28 : inexact-ok
= atanh upward dbl-64 0x8p-28 : 0x8.000000000001p-28 : inexact-ok
= atanh downward ldbl-96-intel 0x8p-28L : 0x8.000000000000aaap-28L : inexact-ok
= atanh tonearest ldbl-96-intel 0x8p-28L : 0x8.000000000000aabp-28L : inexact-ok
= atanh towardzero ldbl-96-intel 0x8p-28L : 0x8.000000000000aaap-28L : inexact-ok
= atanh upward ldbl-96-intel 0x8p-28L : 0x8.000000000000aabp-28L : inexact-ok
= atanh downward ldbl-96-m68k 0x8p-28L : 0x8.000000000000aaap-28L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x8p-28L : 0x8.000000000000aabp-28L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x8p-28L : 0x8.000000000000aaap-28L : inexact-ok
= atanh upward ldbl-96-m68k 0x8p-28L : 0x8.000000000000aabp-28L : inexact-ok
= atanh downward ldbl-128 0x8p-28L : 0x8.000000000000aaaaaaaaaaaac44p-28L : inexact-ok
= atanh tonearest ldbl-128 0x8p-28L : 0x8.000000000000aaaaaaaaaaaac448p-28L : inexact-ok
= atanh towardzero ldbl-128 0x8p-28L : 0x8.000000000000aaaaaaaaaaaac44p-28L : inexact-ok
= atanh upward ldbl-128 0x8p-28L : 0x8.000000000000aaaaaaaaaaaac448p-28L : inexact-ok
= atanh downward ldbl-128ibm 0x8p-28L : 0x8.000000000000aaaaaaaaaaaac4p-28L : inexact-ok
= atanh tonearest ldbl-128ibm 0x8p-28L : 0x8.000000000000aaaaaaaaaaaac4p-28L : inexact-ok
= atanh towardzero ldbl-128ibm 0x8p-28L : 0x8.000000000000aaaaaaaaaaaac4p-28L : inexact-ok
= atanh upward ldbl-128ibm 0x8p-28L : 0x8.000000000000aaaaaaaaaaaac8p-28L : inexact-ok
atanh 0x1p-26
= atanh downward flt-32 0x4p-28f : 0x4p-28f : inexact-ok
= atanh tonearest flt-32 0x4p-28f : 0x4p-28f : inexact-ok
= atanh towardzero flt-32 0x4p-28f : 0x4p-28f : inexact-ok
= atanh upward flt-32 0x4p-28f : 0x4.000008p-28f : inexact-ok
= atanh downward dbl-64 0x4p-28 : 0x4p-28 : inexact-ok
= atanh tonearest dbl-64 0x4p-28 : 0x4p-28 : inexact-ok
= atanh towardzero dbl-64 0x4p-28 : 0x4p-28 : inexact-ok
= atanh upward dbl-64 0x4p-28 : 0x4.0000000000004p-28 : inexact-ok
= atanh downward ldbl-96-intel 0x4p-28L : 0x4.000000000000155p-28L : inexact-ok
= atanh tonearest ldbl-96-intel 0x4p-28L : 0x4.0000000000001558p-28L : inexact-ok
= atanh towardzero ldbl-96-intel 0x4p-28L : 0x4.000000000000155p-28L : inexact-ok
= atanh upward ldbl-96-intel 0x4p-28L : 0x4.0000000000001558p-28L : inexact-ok
= atanh downward ldbl-96-m68k 0x4p-28L : 0x4.000000000000155p-28L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x4p-28L : 0x4.0000000000001558p-28L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x4p-28L : 0x4.000000000000155p-28L : inexact-ok
= atanh upward ldbl-96-m68k 0x4p-28L : 0x4.0000000000001558p-28L : inexact-ok
= atanh downward ldbl-128 0x4p-28L : 0x4.000000000000155555555555562p-28L : inexact-ok
= atanh tonearest ldbl-128 0x4p-28L : 0x4.0000000000001555555555555624p-28L : inexact-ok
= atanh towardzero ldbl-128 0x4p-28L : 0x4.000000000000155555555555562p-28L : inexact-ok
= atanh upward ldbl-128 0x4p-28L : 0x4.0000000000001555555555555624p-28L : inexact-ok
= atanh downward ldbl-128ibm 0x4p-28L : 0x4.00000000000015555555555556p-28L : inexact-ok
= atanh tonearest ldbl-128ibm 0x4p-28L : 0x4.00000000000015555555555556p-28L : inexact-ok
= atanh towardzero ldbl-128ibm 0x4p-28L : 0x4.00000000000015555555555556p-28L : inexact-ok
= atanh upward ldbl-128ibm 0x4p-28L : 0x4.00000000000015555555555558p-28L : inexact-ok
atanh 0x1p-27
= atanh downward flt-32 0x2p-28f : 0x2p-28f : inexact-ok
= atanh tonearest flt-32 0x2p-28f : 0x2p-28f : inexact-ok
= atanh towardzero flt-32 0x2p-28f : 0x2p-28f : inexact-ok
= atanh upward flt-32 0x2p-28f : 0x2.000004p-28f : inexact-ok
= atanh downward dbl-64 0x2p-28 : 0x2p-28 : inexact-ok
= atanh tonearest dbl-64 0x2p-28 : 0x2p-28 : inexact-ok
= atanh towardzero dbl-64 0x2p-28 : 0x2p-28 : inexact-ok
= atanh upward dbl-64 0x2p-28 : 0x2.0000000000002p-28 : inexact-ok
= atanh downward ldbl-96-intel 0x2p-28L : 0x2.00000000000002a8p-28L : inexact-ok
= atanh tonearest ldbl-96-intel 0x2p-28L : 0x2.00000000000002acp-28L : inexact-ok
= atanh towardzero ldbl-96-intel 0x2p-28L : 0x2.00000000000002a8p-28L : inexact-ok
= atanh upward ldbl-96-intel 0x2p-28L : 0x2.00000000000002acp-28L : inexact-ok
= atanh downward ldbl-96-m68k 0x2p-28L : 0x2.00000000000002a8p-28L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x2p-28L : 0x2.00000000000002acp-28L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x2p-28L : 0x2.00000000000002a8p-28L : inexact-ok
= atanh upward ldbl-96-m68k 0x2p-28L : 0x2.00000000000002acp-28L : inexact-ok
= atanh downward ldbl-128 0x2p-28L : 0x2.00000000000002aaaaaaaaaaaabp-28L : inexact-ok
= atanh tonearest ldbl-128 0x2p-28L : 0x2.00000000000002aaaaaaaaaaaab2p-28L : inexact-ok
= atanh towardzero ldbl-128 0x2p-28L : 0x2.00000000000002aaaaaaaaaaaabp-28L : inexact-ok
= atanh upward ldbl-128 0x2p-28L : 0x2.00000000000002aaaaaaaaaaaab2p-28L : inexact-ok
= atanh downward ldbl-128ibm 0x2p-28L : 0x2.00000000000002aaaaaaaaaaaap-28L : inexact-ok
= atanh tonearest ldbl-128ibm 0x2p-28L : 0x2.00000000000002aaaaaaaaaaabp-28L : inexact-ok
= atanh towardzero ldbl-128ibm 0x2p-28L : 0x2.00000000000002aaaaaaaaaaaap-28L : inexact-ok
= atanh upward ldbl-128ibm 0x2p-28L : 0x2.00000000000002aaaaaaaaaaabp-28L : inexact-ok
atanh 0x1p-28
= atanh downward flt-32 0x1p-28f : 0x1p-28f : inexact-ok
= atanh tonearest flt-32 0x1p-28f : 0x1p-28f : inexact-ok
= atanh towardzero flt-32 0x1p-28f : 0x1p-28f : inexact-ok
= atanh upward flt-32 0x1p-28f : 0x1.000002p-28f : inexact-ok
= atanh downward dbl-64 0x1p-28 : 0x1p-28 : inexact-ok
= atanh tonearest dbl-64 0x1p-28 : 0x1p-28 : inexact-ok
= atanh towardzero dbl-64 0x1p-28 : 0x1p-28 : inexact-ok
= atanh upward dbl-64 0x1p-28 : 0x1.0000000000001p-28 : inexact-ok
= atanh downward ldbl-96-intel 0x1p-28L : 0x1.0000000000000054p-28L : inexact-ok
= atanh tonearest ldbl-96-intel 0x1p-28L : 0x1.0000000000000056p-28L : inexact-ok
= atanh towardzero ldbl-96-intel 0x1p-28L : 0x1.0000000000000054p-28L : inexact-ok
= atanh upward ldbl-96-intel 0x1p-28L : 0x1.0000000000000056p-28L : inexact-ok
= atanh downward ldbl-96-m68k 0x1p-28L : 0x1.0000000000000054p-28L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x1p-28L : 0x1.0000000000000056p-28L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x1p-28L : 0x1.0000000000000054p-28L : inexact-ok
= atanh upward ldbl-96-m68k 0x1p-28L : 0x1.0000000000000056p-28L : inexact-ok
= atanh downward ldbl-128 0x1p-28L : 0x1.0000000000000055555555555555p-28L : inexact-ok
= atanh tonearest ldbl-128 0x1p-28L : 0x1.0000000000000055555555555556p-28L : inexact-ok
= atanh towardzero ldbl-128 0x1p-28L : 0x1.0000000000000055555555555555p-28L : inexact-ok
= atanh upward ldbl-128 0x1p-28L : 0x1.0000000000000055555555555556p-28L : inexact-ok
= atanh downward ldbl-128ibm 0x1p-28L : 0x1.00000000000000555555555555p-28L : inexact-ok
= atanh tonearest ldbl-128ibm 0x1p-28L : 0x1.000000000000005555555555558p-28L : inexact-ok
= atanh towardzero ldbl-128ibm 0x1p-28L : 0x1.00000000000000555555555555p-28L : inexact-ok
= atanh upward ldbl-128ibm 0x1p-28L : 0x1.000000000000005555555555558p-28L : inexact-ok
atanh 0x1p-29
= atanh downward flt-32 0x8p-32f : 0x8p-32f : inexact-ok
= atanh tonearest flt-32 0x8p-32f : 0x8p-32f : inexact-ok
= atanh towardzero flt-32 0x8p-32f : 0x8p-32f : inexact-ok
= atanh upward flt-32 0x8p-32f : 0x8.00001p-32f : inexact-ok
= atanh downward dbl-64 0x8p-32 : 0x8p-32 : inexact-ok
= atanh tonearest dbl-64 0x8p-32 : 0x8p-32 : inexact-ok
= atanh towardzero dbl-64 0x8p-32 : 0x8p-32 : inexact-ok
= atanh upward dbl-64 0x8p-32 : 0x8.0000000000008p-32 : inexact-ok
= atanh downward ldbl-96-intel 0x8p-32L : 0x8.00000000000000ap-32L : inexact-ok
= atanh tonearest ldbl-96-intel 0x8p-32L : 0x8.00000000000000bp-32L : inexact-ok
= atanh towardzero ldbl-96-intel 0x8p-32L : 0x8.00000000000000ap-32L : inexact-ok
= atanh upward ldbl-96-intel 0x8p-32L : 0x8.00000000000000bp-32L : inexact-ok
= atanh downward ldbl-96-m68k 0x8p-32L : 0x8.00000000000000ap-32L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x8p-32L : 0x8.00000000000000bp-32L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x8p-32L : 0x8.00000000000000ap-32L : inexact-ok
= atanh upward ldbl-96-m68k 0x8p-32L : 0x8.00000000000000bp-32L : inexact-ok
= atanh downward ldbl-128 0x8p-32L : 0x8.00000000000000aaaaaaaaaaaaa8p-32L : inexact-ok
= atanh tonearest ldbl-128 0x8p-32L : 0x8.00000000000000aaaaaaaaaaaaa8p-32L : inexact-ok
= atanh towardzero ldbl-128 0x8p-32L : 0x8.00000000000000aaaaaaaaaaaaa8p-32L : inexact-ok
= atanh upward ldbl-128 0x8p-32L : 0x8.00000000000000aaaaaaaaaaaabp-32L : inexact-ok
= atanh downward ldbl-128ibm 0x8p-32L : 0x8.00000000000000aaaaaaaaaaa8p-32L : inexact-ok
= atanh tonearest ldbl-128ibm 0x8p-32L : 0x8.00000000000000aaaaaaaaaaacp-32L : inexact-ok
= atanh towardzero ldbl-128ibm 0x8p-32L : 0x8.00000000000000aaaaaaaaaaa8p-32L : inexact-ok
= atanh upward ldbl-128ibm 0x8p-32L : 0x8.00000000000000aaaaaaaaaaacp-32L : inexact-ok
atanh 0x1p-30
= atanh downward flt-32 0x4p-32f : 0x4p-32f : inexact-ok
= atanh tonearest flt-32 0x4p-32f : 0x4p-32f : inexact-ok
= atanh towardzero flt-32 0x4p-32f : 0x4p-32f : inexact-ok
= atanh upward flt-32 0x4p-32f : 0x4.000008p-32f : inexact-ok
= atanh downward dbl-64 0x4p-32 : 0x4p-32 : inexact-ok
= atanh tonearest dbl-64 0x4p-32 : 0x4p-32 : inexact-ok
= atanh towardzero dbl-64 0x4p-32 : 0x4p-32 : inexact-ok
= atanh upward dbl-64 0x4p-32 : 0x4.0000000000004p-32 : inexact-ok
= atanh downward ldbl-96-intel 0x4p-32L : 0x4.000000000000001p-32L : inexact-ok
= atanh tonearest ldbl-96-intel 0x4p-32L : 0x4.0000000000000018p-32L : inexact-ok
= atanh towardzero ldbl-96-intel 0x4p-32L : 0x4.000000000000001p-32L : inexact-ok
= atanh upward ldbl-96-intel 0x4p-32L : 0x4.0000000000000018p-32L : inexact-ok
= atanh downward ldbl-96-m68k 0x4p-32L : 0x4.000000000000001p-32L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x4p-32L : 0x4.0000000000000018p-32L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x4p-32L : 0x4.000000000000001p-32L : inexact-ok
= atanh upward ldbl-96-m68k 0x4p-32L : 0x4.0000000000000018p-32L : inexact-ok
= atanh downward ldbl-128 0x4p-32L : 0x4.0000000000000015555555555554p-32L : inexact-ok
= atanh tonearest ldbl-128 0x4p-32L : 0x4.0000000000000015555555555554p-32L : inexact-ok
= atanh towardzero ldbl-128 0x4p-32L : 0x4.0000000000000015555555555554p-32L : inexact-ok
= atanh upward ldbl-128 0x4p-32L : 0x4.0000000000000015555555555558p-32L : inexact-ok
= atanh downward ldbl-128ibm 0x4p-32L : 0x4.00000000000000155555555554p-32L : inexact-ok
= atanh tonearest ldbl-128ibm 0x4p-32L : 0x4.00000000000000155555555556p-32L : inexact-ok
= atanh towardzero ldbl-128ibm 0x4p-32L : 0x4.00000000000000155555555554p-32L : inexact-ok
= atanh upward ldbl-128ibm 0x4p-32L : 0x4.00000000000000155555555556p-32L : inexact-ok
atanh 0x1p-31
= atanh downward flt-32 0x2p-32f : 0x2p-32f : inexact-ok
= atanh tonearest flt-32 0x2p-32f : 0x2p-32f : inexact-ok
= atanh towardzero flt-32 0x2p-32f : 0x2p-32f : inexact-ok
= atanh upward flt-32 0x2p-32f : 0x2.000004p-32f : inexact-ok
= atanh downward dbl-64 0x2p-32 : 0x2p-32 : inexact-ok
= atanh tonearest dbl-64 0x2p-32 : 0x2p-32 : inexact-ok
= atanh towardzero dbl-64 0x2p-32 : 0x2p-32 : inexact-ok
= atanh upward dbl-64 0x2p-32 : 0x2.0000000000002p-32 : inexact-ok
= atanh downward ldbl-96-intel 0x2p-32L : 0x2p-32L : inexact-ok
= atanh tonearest ldbl-96-intel 0x2p-32L : 0x2.0000000000000004p-32L : inexact-ok
= atanh towardzero ldbl-96-intel 0x2p-32L : 0x2p-32L : inexact-ok
= atanh upward ldbl-96-intel 0x2p-32L : 0x2.0000000000000004p-32L : inexact-ok
= atanh downward ldbl-96-m68k 0x2p-32L : 0x2p-32L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x2p-32L : 0x2.0000000000000004p-32L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x2p-32L : 0x2p-32L : inexact-ok
= atanh upward ldbl-96-m68k 0x2p-32L : 0x2.0000000000000004p-32L : inexact-ok
= atanh downward ldbl-128 0x2p-32L : 0x2.0000000000000002aaaaaaaaaaaap-32L : inexact-ok
= atanh tonearest ldbl-128 0x2p-32L : 0x2.0000000000000002aaaaaaaaaaaap-32L : inexact-ok
= atanh towardzero ldbl-128 0x2p-32L : 0x2.0000000000000002aaaaaaaaaaaap-32L : inexact-ok
= atanh upward ldbl-128 0x2p-32L : 0x2.0000000000000002aaaaaaaaaaacp-32L : inexact-ok
= atanh downward ldbl-128ibm 0x2p-32L : 0x2.0000000000000002aaaaaaaaaap-32L : inexact-ok
= atanh tonearest ldbl-128ibm 0x2p-32L : 0x2.0000000000000002aaaaaaaaabp-32L : inexact-ok
= atanh towardzero ldbl-128ibm 0x2p-32L : 0x2.0000000000000002aaaaaaaaaap-32L : inexact-ok
= atanh upward ldbl-128ibm 0x2p-32L : 0x2.0000000000000002aaaaaaaaabp-32L : inexact-ok
atanh 0x1p-32
= atanh downward flt-32 0x1p-32f : 0x1p-32f : inexact-ok
= atanh tonearest flt-32 0x1p-32f : 0x1p-32f : inexact-ok
= atanh towardzero flt-32 0x1p-32f : 0x1p-32f : inexact-ok
= atanh upward flt-32 0x1p-32f : 0x1.000002p-32f : inexact-ok
= atanh downward dbl-64 0x1p-32 : 0x1p-32 : inexact-ok
= atanh tonearest dbl-64 0x1p-32 : 0x1p-32 : inexact-ok
= atanh towardzero dbl-64 0x1p-32 : 0x1p-32 : inexact-ok
= atanh upward dbl-64 0x1p-32 : 0x1.0000000000001p-32 : inexact-ok
= atanh downward ldbl-96-intel 0x1p-32L : 0x1p-32L : inexact-ok
= atanh tonearest ldbl-96-intel 0x1p-32L : 0x1p-32L : inexact-ok
= atanh towardzero ldbl-96-intel 0x1p-32L : 0x1p-32L : inexact-ok
= atanh upward ldbl-96-intel 0x1p-32L : 0x1.0000000000000002p-32L : inexact-ok
= atanh downward ldbl-96-m68k 0x1p-32L : 0x1p-32L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x1p-32L : 0x1p-32L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x1p-32L : 0x1p-32L : inexact-ok
= atanh upward ldbl-96-m68k 0x1p-32L : 0x1.0000000000000002p-32L : inexact-ok
= atanh downward ldbl-128 0x1p-32L : 0x1.0000000000000000555555555555p-32L : inexact-ok
= atanh tonearest ldbl-128 0x1p-32L : 0x1.0000000000000000555555555555p-32L : inexact-ok
= atanh towardzero ldbl-128 0x1p-32L : 0x1.0000000000000000555555555555p-32L : inexact-ok
= atanh upward ldbl-128 0x1p-32L : 0x1.0000000000000000555555555556p-32L : inexact-ok
= atanh downward ldbl-128ibm 0x1p-32L : 0x1.00000000000000005555555555p-32L : inexact-ok
= atanh tonearest ldbl-128ibm 0x1p-32L : 0x1.000000000000000055555555558p-32L : inexact-ok
= atanh towardzero ldbl-128ibm 0x1p-32L : 0x1.00000000000000005555555555p-32L : inexact-ok
= atanh upward ldbl-128ibm 0x1p-32L : 0x1.000000000000000055555555558p-32L : inexact-ok
atanh 0x1p-33
= atanh downward flt-32 0x8p-36f : 0x8p-36f : inexact-ok
= atanh tonearest flt-32 0x8p-36f : 0x8p-36f : inexact-ok
= atanh towardzero flt-32 0x8p-36f : 0x8p-36f : inexact-ok
= atanh upward flt-32 0x8p-36f : 0x8.00001p-36f : inexact-ok
= atanh downward dbl-64 0x8p-36 : 0x8p-36 : inexact-ok
= atanh tonearest dbl-64 0x8p-36 : 0x8p-36 : inexact-ok
= atanh towardzero dbl-64 0x8p-36 : 0x8p-36 : inexact-ok
= atanh upward dbl-64 0x8p-36 : 0x8.0000000000008p-36 : inexact-ok
= atanh downward ldbl-96-intel 0x8p-36L : 0x8p-36L : inexact-ok
= atanh tonearest ldbl-96-intel 0x8p-36L : 0x8p-36L : inexact-ok
= atanh towardzero ldbl-96-intel 0x8p-36L : 0x8p-36L : inexact-ok
= atanh upward ldbl-96-intel 0x8p-36L : 0x8.000000000000001p-36L : inexact-ok
= atanh downward ldbl-96-m68k 0x8p-36L : 0x8p-36L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x8p-36L : 0x8p-36L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x8p-36L : 0x8p-36L : inexact-ok
= atanh upward ldbl-96-m68k 0x8p-36L : 0x8.000000000000001p-36L : inexact-ok
= atanh downward ldbl-128 0x8p-36L : 0x8.0000000000000000aaaaaaaaaaa8p-36L : inexact-ok
= atanh tonearest ldbl-128 0x8p-36L : 0x8.0000000000000000aaaaaaaaaaa8p-36L : inexact-ok
= atanh towardzero ldbl-128 0x8p-36L : 0x8.0000000000000000aaaaaaaaaaa8p-36L : inexact-ok
= atanh upward ldbl-128 0x8p-36L : 0x8.0000000000000000aaaaaaaaaabp-36L : inexact-ok
= atanh downward ldbl-128ibm 0x8p-36L : 0x8.0000000000000000aaaaaaaaa8p-36L : inexact-ok
= atanh tonearest ldbl-128ibm 0x8p-36L : 0x8.0000000000000000aaaaaaaaacp-36L : inexact-ok
= atanh towardzero ldbl-128ibm 0x8p-36L : 0x8.0000000000000000aaaaaaaaa8p-36L : inexact-ok
= atanh upward ldbl-128ibm 0x8p-36L : 0x8.0000000000000000aaaaaaaaacp-36L : inexact-ok
atanh 0x1p-48
= atanh downward flt-32 0x1p-48f : 0x1p-48f : inexact-ok
= atanh tonearest flt-32 0x1p-48f : 0x1p-48f : inexact-ok
= atanh towardzero flt-32 0x1p-48f : 0x1p-48f : inexact-ok
= atanh upward flt-32 0x1p-48f : 0x1.000002p-48f : inexact-ok
= atanh downward dbl-64 0x1p-48 : 0x1p-48 : inexact-ok
= atanh tonearest dbl-64 0x1p-48 : 0x1p-48 : inexact-ok
= atanh towardzero dbl-64 0x1p-48 : 0x1p-48 : inexact-ok
= atanh upward dbl-64 0x1p-48 : 0x1.0000000000001p-48 : inexact-ok
= atanh downward ldbl-96-intel 0x1p-48L : 0x1p-48L : inexact-ok
= atanh tonearest ldbl-96-intel 0x1p-48L : 0x1p-48L : inexact-ok
= atanh towardzero ldbl-96-intel 0x1p-48L : 0x1p-48L : inexact-ok
= atanh upward ldbl-96-intel 0x1p-48L : 0x1.0000000000000002p-48L : inexact-ok
= atanh downward ldbl-96-m68k 0x1p-48L : 0x1p-48L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x1p-48L : 0x1p-48L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x1p-48L : 0x1p-48L : inexact-ok
= atanh upward ldbl-96-m68k 0x1p-48L : 0x1.0000000000000002p-48L : inexact-ok
= atanh downward ldbl-128 0x1p-48L : 0x1.0000000000000000000000005555p-48L : inexact-ok
= atanh tonearest ldbl-128 0x1p-48L : 0x1.0000000000000000000000005555p-48L : inexact-ok
= atanh towardzero ldbl-128 0x1p-48L : 0x1.0000000000000000000000005555p-48L : inexact-ok
= atanh upward ldbl-128 0x1p-48L : 0x1.0000000000000000000000005556p-48L : inexact-ok
= atanh downward ldbl-128ibm 0x1p-48L : 0x1.00000000000000000000000055p-48L : inexact-ok
= atanh tonearest ldbl-128ibm 0x1p-48L : 0x1.000000000000000000000000558p-48L : inexact-ok
= atanh towardzero ldbl-128ibm 0x1p-48L : 0x1.00000000000000000000000055p-48L : inexact-ok
= atanh upward ldbl-128ibm 0x1p-48L : 0x1.000000000000000000000000558p-48L : inexact-ok
atanh 0x1p-49
= atanh downward flt-32 0x8p-52f : 0x8p-52f : inexact-ok
= atanh tonearest flt-32 0x8p-52f : 0x8p-52f : inexact-ok
= atanh towardzero flt-32 0x8p-52f : 0x8p-52f : inexact-ok
= atanh upward flt-32 0x8p-52f : 0x8.00001p-52f : inexact-ok
= atanh downward dbl-64 0x8p-52 : 0x8p-52 : inexact-ok
= atanh tonearest dbl-64 0x8p-52 : 0x8p-52 : inexact-ok
= atanh towardzero dbl-64 0x8p-52 : 0x8p-52 : inexact-ok
= atanh upward dbl-64 0x8p-52 : 0x8.0000000000008p-52 : inexact-ok
= atanh downward ldbl-96-intel 0x8p-52L : 0x8p-52L : inexact-ok
= atanh tonearest ldbl-96-intel 0x8p-52L : 0x8p-52L : inexact-ok
= atanh towardzero ldbl-96-intel 0x8p-52L : 0x8p-52L : inexact-ok
= atanh upward ldbl-96-intel 0x8p-52L : 0x8.000000000000001p-52L : inexact-ok
= atanh downward ldbl-96-m68k 0x8p-52L : 0x8p-52L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x8p-52L : 0x8p-52L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x8p-52L : 0x8p-52L : inexact-ok
= atanh upward ldbl-96-m68k 0x8p-52L : 0x8.000000000000001p-52L : inexact-ok
= atanh downward ldbl-128 0x8p-52L : 0x8.000000000000000000000000aaa8p-52L : inexact-ok
= atanh tonearest ldbl-128 0x8p-52L : 0x8.000000000000000000000000aaa8p-52L : inexact-ok
= atanh towardzero ldbl-128 0x8p-52L : 0x8.000000000000000000000000aaa8p-52L : inexact-ok
= atanh upward ldbl-128 0x8p-52L : 0x8.000000000000000000000000aabp-52L : inexact-ok
= atanh downward ldbl-128ibm 0x8p-52L : 0x8.000000000000000000000000a8p-52L : inexact-ok
= atanh tonearest ldbl-128ibm 0x8p-52L : 0x8.000000000000000000000000acp-52L : inexact-ok
= atanh towardzero ldbl-128ibm 0x8p-52L : 0x8.000000000000000000000000a8p-52L : inexact-ok
= atanh upward ldbl-128ibm 0x8p-52L : 0x8.000000000000000000000000acp-52L : inexact-ok
atanh 0x1p-50
= atanh downward flt-32 0x4p-52f : 0x4p-52f : inexact-ok
= atanh tonearest flt-32 0x4p-52f : 0x4p-52f : inexact-ok
= atanh towardzero flt-32 0x4p-52f : 0x4p-52f : inexact-ok
= atanh upward flt-32 0x4p-52f : 0x4.000008p-52f : inexact-ok
= atanh downward dbl-64 0x4p-52 : 0x4p-52 : inexact-ok
= atanh tonearest dbl-64 0x4p-52 : 0x4p-52 : inexact-ok
= atanh towardzero dbl-64 0x4p-52 : 0x4p-52 : inexact-ok
= atanh upward dbl-64 0x4p-52 : 0x4.0000000000004p-52 : inexact-ok
= atanh downward ldbl-96-intel 0x4p-52L : 0x4p-52L : inexact-ok
= atanh tonearest ldbl-96-intel 0x4p-52L : 0x4p-52L : inexact-ok
= atanh towardzero ldbl-96-intel 0x4p-52L : 0x4p-52L : inexact-ok
= atanh upward ldbl-96-intel 0x4p-52L : 0x4.0000000000000008p-52L : inexact-ok
= atanh downward ldbl-96-m68k 0x4p-52L : 0x4p-52L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x4p-52L : 0x4p-52L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x4p-52L : 0x4p-52L : inexact-ok
= atanh upward ldbl-96-m68k 0x4p-52L : 0x4.0000000000000008p-52L : inexact-ok
= atanh downward ldbl-128 0x4p-52L : 0x4.0000000000000000000000001554p-52L : inexact-ok
= atanh tonearest ldbl-128 0x4p-52L : 0x4.0000000000000000000000001554p-52L : inexact-ok
= atanh towardzero ldbl-128 0x4p-52L : 0x4.0000000000000000000000001554p-52L : inexact-ok
= atanh upward ldbl-128 0x4p-52L : 0x4.0000000000000000000000001558p-52L : inexact-ok
= atanh downward ldbl-128ibm 0x4p-52L : 0x4.00000000000000000000000014p-52L : inexact-ok
= atanh tonearest ldbl-128ibm 0x4p-52L : 0x4.00000000000000000000000016p-52L : inexact-ok
= atanh towardzero ldbl-128ibm 0x4p-52L : 0x4.00000000000000000000000014p-52L : inexact-ok
= atanh upward ldbl-128ibm 0x4p-52L : 0x4.00000000000000000000000016p-52L : inexact-ok
atanh 0x1p-51
= atanh downward flt-32 0x2p-52f : 0x2p-52f : inexact-ok
= atanh tonearest flt-32 0x2p-52f : 0x2p-52f : inexact-ok
= atanh towardzero flt-32 0x2p-52f : 0x2p-52f : inexact-ok
= atanh upward flt-32 0x2p-52f : 0x2.000004p-52f : inexact-ok
= atanh downward dbl-64 0x2p-52 : 0x2p-52 : inexact-ok
= atanh tonearest dbl-64 0x2p-52 : 0x2p-52 : inexact-ok
= atanh towardzero dbl-64 0x2p-52 : 0x2p-52 : inexact-ok
= atanh upward dbl-64 0x2p-52 : 0x2.0000000000002p-52 : inexact-ok
= atanh downward ldbl-96-intel 0x2p-52L : 0x2p-52L : inexact-ok
= atanh tonearest ldbl-96-intel 0x2p-52L : 0x2p-52L : inexact-ok
= atanh towardzero ldbl-96-intel 0x2p-52L : 0x2p-52L : inexact-ok
= atanh upward ldbl-96-intel 0x2p-52L : 0x2.0000000000000004p-52L : inexact-ok
= atanh downward ldbl-96-m68k 0x2p-52L : 0x2p-52L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x2p-52L : 0x2p-52L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x2p-52L : 0x2p-52L : inexact-ok
= atanh upward ldbl-96-m68k 0x2p-52L : 0x2.0000000000000004p-52L : inexact-ok
= atanh downward ldbl-128 0x2p-52L : 0x2.00000000000000000000000002aap-52L : inexact-ok
= atanh tonearest ldbl-128 0x2p-52L : 0x2.00000000000000000000000002aap-52L : inexact-ok
= atanh towardzero ldbl-128 0x2p-52L : 0x2.00000000000000000000000002aap-52L : inexact-ok
= atanh upward ldbl-128 0x2p-52L : 0x2.00000000000000000000000002acp-52L : inexact-ok
= atanh downward ldbl-128ibm 0x2p-52L : 0x2.00000000000000000000000002p-52L : inexact-ok
= atanh tonearest ldbl-128ibm 0x2p-52L : 0x2.00000000000000000000000003p-52L : inexact-ok
= atanh towardzero ldbl-128ibm 0x2p-52L : 0x2.00000000000000000000000002p-52L : inexact-ok
= atanh upward ldbl-128ibm 0x2p-52L : 0x2.00000000000000000000000003p-52L : inexact-ok
atanh 0x1p-52
= atanh downward flt-32 0x1p-52f : 0x1p-52f : inexact-ok
= atanh tonearest flt-32 0x1p-52f : 0x1p-52f : inexact-ok
= atanh towardzero flt-32 0x1p-52f : 0x1p-52f : inexact-ok
= atanh upward flt-32 0x1p-52f : 0x1.000002p-52f : inexact-ok
= atanh downward dbl-64 0x1p-52 : 0x1p-52 : inexact-ok
= atanh tonearest dbl-64 0x1p-52 : 0x1p-52 : inexact-ok
= atanh towardzero dbl-64 0x1p-52 : 0x1p-52 : inexact-ok
= atanh upward dbl-64 0x1p-52 : 0x1.0000000000001p-52 : inexact-ok
= atanh downward ldbl-96-intel 0x1p-52L : 0x1p-52L : inexact-ok
= atanh tonearest ldbl-96-intel 0x1p-52L : 0x1p-52L : inexact-ok
= atanh towardzero ldbl-96-intel 0x1p-52L : 0x1p-52L : inexact-ok
= atanh upward ldbl-96-intel 0x1p-52L : 0x1.0000000000000002p-52L : inexact-ok
= atanh downward ldbl-96-m68k 0x1p-52L : 0x1p-52L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x1p-52L : 0x1p-52L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x1p-52L : 0x1p-52L : inexact-ok
= atanh upward ldbl-96-m68k 0x1p-52L : 0x1.0000000000000002p-52L : inexact-ok
= atanh downward ldbl-128 0x1p-52L : 0x1.0000000000000000000000000055p-52L : inexact-ok
= atanh tonearest ldbl-128 0x1p-52L : 0x1.0000000000000000000000000055p-52L : inexact-ok
= atanh towardzero ldbl-128 0x1p-52L : 0x1.0000000000000000000000000055p-52L : inexact-ok
= atanh upward ldbl-128 0x1p-52L : 0x1.0000000000000000000000000056p-52L : inexact-ok
= atanh downward ldbl-128ibm 0x1p-52L : 0x1p-52L : inexact-ok
= atanh tonearest ldbl-128ibm 0x1p-52L : 0x1.000000000000000000000000008p-52L : inexact-ok
= atanh towardzero ldbl-128ibm 0x1p-52L : 0x1p-52L : inexact-ok
= atanh upward ldbl-128ibm 0x1p-52L : 0x1.000000000000000000000000008p-52L : inexact-ok
atanh 0x1p-53
= atanh downward flt-32 0x8p-56f : 0x8p-56f : inexact-ok
= atanh tonearest flt-32 0x8p-56f : 0x8p-56f : inexact-ok
= atanh towardzero flt-32 0x8p-56f : 0x8p-56f : inexact-ok
= atanh upward flt-32 0x8p-56f : 0x8.00001p-56f : inexact-ok
= atanh downward dbl-64 0x8p-56 : 0x8p-56 : inexact-ok
= atanh tonearest dbl-64 0x8p-56 : 0x8p-56 : inexact-ok
= atanh towardzero dbl-64 0x8p-56 : 0x8p-56 : inexact-ok
= atanh upward dbl-64 0x8p-56 : 0x8.0000000000008p-56 : inexact-ok
= atanh downward ldbl-96-intel 0x8p-56L : 0x8p-56L : inexact-ok
= atanh tonearest ldbl-96-intel 0x8p-56L : 0x8p-56L : inexact-ok
= atanh towardzero ldbl-96-intel 0x8p-56L : 0x8p-56L : inexact-ok
= atanh upward ldbl-96-intel 0x8p-56L : 0x8.000000000000001p-56L : inexact-ok
= atanh downward ldbl-96-m68k 0x8p-56L : 0x8p-56L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x8p-56L : 0x8p-56L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x8p-56L : 0x8p-56L : inexact-ok
= atanh upward ldbl-96-m68k 0x8p-56L : 0x8.000000000000001p-56L : inexact-ok
= atanh downward ldbl-128 0x8p-56L : 0x8.00000000000000000000000000a8p-56L : inexact-ok
= atanh tonearest ldbl-128 0x8p-56L : 0x8.00000000000000000000000000a8p-56L : inexact-ok
= atanh towardzero ldbl-128 0x8p-56L : 0x8.00000000000000000000000000a8p-56L : inexact-ok
= atanh upward ldbl-128 0x8p-56L : 0x8.00000000000000000000000000bp-56L : inexact-ok
= atanh downward ldbl-128ibm 0x8p-56L : 0x8p-56L : inexact-ok
= atanh tonearest ldbl-128ibm 0x8p-56L : 0x8p-56L : inexact-ok
= atanh towardzero ldbl-128ibm 0x8p-56L : 0x8p-56L : inexact-ok
= atanh upward ldbl-128ibm 0x8p-56L : 0x8.00000000000000000000000004p-56L : inexact-ok
atanh 0x1p-54
= atanh downward flt-32 0x4p-56f : 0x4p-56f : inexact-ok
= atanh tonearest flt-32 0x4p-56f : 0x4p-56f : inexact-ok
= atanh towardzero flt-32 0x4p-56f : 0x4p-56f : inexact-ok
= atanh upward flt-32 0x4p-56f : 0x4.000008p-56f : inexact-ok
= atanh downward dbl-64 0x4p-56 : 0x4p-56 : inexact-ok
= atanh tonearest dbl-64 0x4p-56 : 0x4p-56 : inexact-ok
= atanh towardzero dbl-64 0x4p-56 : 0x4p-56 : inexact-ok
= atanh upward dbl-64 0x4p-56 : 0x4.0000000000004p-56 : inexact-ok
= atanh downward ldbl-96-intel 0x4p-56L : 0x4p-56L : inexact-ok
= atanh tonearest ldbl-96-intel 0x4p-56L : 0x4p-56L : inexact-ok
= atanh towardzero ldbl-96-intel 0x4p-56L : 0x4p-56L : inexact-ok
= atanh upward ldbl-96-intel 0x4p-56L : 0x4.0000000000000008p-56L : inexact-ok
= atanh downward ldbl-96-m68k 0x4p-56L : 0x4p-56L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x4p-56L : 0x4p-56L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x4p-56L : 0x4p-56L : inexact-ok
= atanh upward ldbl-96-m68k 0x4p-56L : 0x4.0000000000000008p-56L : inexact-ok
= atanh downward ldbl-128 0x4p-56L : 0x4.0000000000000000000000000014p-56L : inexact-ok
= atanh tonearest ldbl-128 0x4p-56L : 0x4.0000000000000000000000000014p-56L : inexact-ok
= atanh towardzero ldbl-128 0x4p-56L : 0x4.0000000000000000000000000014p-56L : inexact-ok
= atanh upward ldbl-128 0x4p-56L : 0x4.0000000000000000000000000018p-56L : inexact-ok
= atanh downward ldbl-128ibm 0x4p-56L : 0x4p-56L : inexact-ok
= atanh tonearest ldbl-128ibm 0x4p-56L : 0x4p-56L : inexact-ok
= atanh towardzero ldbl-128ibm 0x4p-56L : 0x4p-56L : inexact-ok
= atanh upward ldbl-128ibm 0x4p-56L : 0x4.00000000000000000000000002p-56L : inexact-ok
atanh 0x1p-55
= atanh downward flt-32 0x2p-56f : 0x2p-56f : inexact-ok
= atanh tonearest flt-32 0x2p-56f : 0x2p-56f : inexact-ok
= atanh towardzero flt-32 0x2p-56f : 0x2p-56f : inexact-ok
= atanh upward flt-32 0x2p-56f : 0x2.000004p-56f : inexact-ok
= atanh downward dbl-64 0x2p-56 : 0x2p-56 : inexact-ok
= atanh tonearest dbl-64 0x2p-56 : 0x2p-56 : inexact-ok
= atanh towardzero dbl-64 0x2p-56 : 0x2p-56 : inexact-ok
= atanh upward dbl-64 0x2p-56 : 0x2.0000000000002p-56 : inexact-ok
= atanh downward ldbl-96-intel 0x2p-56L : 0x2p-56L : inexact-ok
= atanh tonearest ldbl-96-intel 0x2p-56L : 0x2p-56L : inexact-ok
= atanh towardzero ldbl-96-intel 0x2p-56L : 0x2p-56L : inexact-ok
= atanh upward ldbl-96-intel 0x2p-56L : 0x2.0000000000000004p-56L : inexact-ok
= atanh downward ldbl-96-m68k 0x2p-56L : 0x2p-56L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x2p-56L : 0x2p-56L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x2p-56L : 0x2p-56L : inexact-ok
= atanh upward ldbl-96-m68k 0x2p-56L : 0x2.0000000000000004p-56L : inexact-ok
= atanh downward ldbl-128 0x2p-56L : 0x2.0000000000000000000000000002p-56L : inexact-ok
= atanh tonearest ldbl-128 0x2p-56L : 0x2.0000000000000000000000000002p-56L : inexact-ok
= atanh towardzero ldbl-128 0x2p-56L : 0x2.0000000000000000000000000002p-56L : inexact-ok
= atanh upward ldbl-128 0x2p-56L : 0x2.0000000000000000000000000004p-56L : inexact-ok
= atanh downward ldbl-128ibm 0x2p-56L : 0x2p-56L : inexact-ok
= atanh tonearest ldbl-128ibm 0x2p-56L : 0x2p-56L : inexact-ok
= atanh towardzero ldbl-128ibm 0x2p-56L : 0x2p-56L : inexact-ok
= atanh upward ldbl-128ibm 0x2p-56L : 0x2.00000000000000000000000001p-56L : inexact-ok
atanh 0x1p-56
= atanh downward flt-32 0x1p-56f : 0x1p-56f : inexact-ok
= atanh tonearest flt-32 0x1p-56f : 0x1p-56f : inexact-ok
= atanh towardzero flt-32 0x1p-56f : 0x1p-56f : inexact-ok
= atanh upward flt-32 0x1p-56f : 0x1.000002p-56f : inexact-ok
= atanh downward dbl-64 0x1p-56 : 0x1p-56 : inexact-ok
= atanh tonearest dbl-64 0x1p-56 : 0x1p-56 : inexact-ok
= atanh towardzero dbl-64 0x1p-56 : 0x1p-56 : inexact-ok
= atanh upward dbl-64 0x1p-56 : 0x1.0000000000001p-56 : inexact-ok
= atanh downward ldbl-96-intel 0x1p-56L : 0x1p-56L : inexact-ok
= atanh tonearest ldbl-96-intel 0x1p-56L : 0x1p-56L : inexact-ok
= atanh towardzero ldbl-96-intel 0x1p-56L : 0x1p-56L : inexact-ok
= atanh upward ldbl-96-intel 0x1p-56L : 0x1.0000000000000002p-56L : inexact-ok
= atanh downward ldbl-96-m68k 0x1p-56L : 0x1p-56L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x1p-56L : 0x1p-56L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x1p-56L : 0x1p-56L : inexact-ok
= atanh upward ldbl-96-m68k 0x1p-56L : 0x1.0000000000000002p-56L : inexact-ok
= atanh downward ldbl-128 0x1p-56L : 0x1p-56L : inexact-ok
= atanh tonearest ldbl-128 0x1p-56L : 0x1p-56L : inexact-ok
= atanh towardzero ldbl-128 0x1p-56L : 0x1p-56L : inexact-ok
= atanh upward ldbl-128 0x1p-56L : 0x1.0000000000000000000000000001p-56L : inexact-ok
= atanh downward ldbl-128ibm 0x1p-56L : 0x1p-56L : inexact-ok
= atanh tonearest ldbl-128ibm 0x1p-56L : 0x1p-56L : inexact-ok
= atanh towardzero ldbl-128ibm 0x1p-56L : 0x1p-56L : inexact-ok
= atanh upward ldbl-128ibm 0x1p-56L : 0x1.000000000000000000000000008p-56L : inexact-ok
atanh 0x1p-57
= atanh downward flt-32 0x8p-60f : 0x8p-60f : inexact-ok
= atanh tonearest flt-32 0x8p-60f : 0x8p-60f : inexact-ok
= atanh towardzero flt-32 0x8p-60f : 0x8p-60f : inexact-ok
= atanh upward flt-32 0x8p-60f : 0x8.00001p-60f : inexact-ok
= atanh downward dbl-64 0x8p-60 : 0x8p-60 : inexact-ok
= atanh tonearest dbl-64 0x8p-60 : 0x8p-60 : inexact-ok
= atanh towardzero dbl-64 0x8p-60 : 0x8p-60 : inexact-ok
= atanh upward dbl-64 0x8p-60 : 0x8.0000000000008p-60 : inexact-ok
= atanh downward ldbl-96-intel 0x8p-60L : 0x8p-60L : inexact-ok
= atanh tonearest ldbl-96-intel 0x8p-60L : 0x8p-60L : inexact-ok
= atanh towardzero ldbl-96-intel 0x8p-60L : 0x8p-60L : inexact-ok
= atanh upward ldbl-96-intel 0x8p-60L : 0x8.000000000000001p-60L : inexact-ok
= atanh downward ldbl-96-m68k 0x8p-60L : 0x8p-60L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x8p-60L : 0x8p-60L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x8p-60L : 0x8p-60L : inexact-ok
= atanh upward ldbl-96-m68k 0x8p-60L : 0x8.000000000000001p-60L : inexact-ok
= atanh downward ldbl-128 0x8p-60L : 0x8p-60L : inexact-ok
= atanh tonearest ldbl-128 0x8p-60L : 0x8p-60L : inexact-ok
= atanh towardzero ldbl-128 0x8p-60L : 0x8p-60L : inexact-ok
= atanh upward ldbl-128 0x8p-60L : 0x8.0000000000000000000000000008p-60L : inexact-ok
= atanh downward ldbl-128ibm 0x8p-60L : 0x8p-60L : inexact-ok
= atanh tonearest ldbl-128ibm 0x8p-60L : 0x8p-60L : inexact-ok
= atanh towardzero ldbl-128ibm 0x8p-60L : 0x8p-60L : inexact-ok
= atanh upward ldbl-128ibm 0x8p-60L : 0x8.00000000000000000000000004p-60L : inexact-ok
atanh 0x1p-58
= atanh downward flt-32 0x4p-60f : 0x4p-60f : inexact-ok
= atanh tonearest flt-32 0x4p-60f : 0x4p-60f : inexact-ok
= atanh towardzero flt-32 0x4p-60f : 0x4p-60f : inexact-ok
= atanh upward flt-32 0x4p-60f : 0x4.000008p-60f : inexact-ok
= atanh downward dbl-64 0x4p-60 : 0x4p-60 : inexact-ok
= atanh tonearest dbl-64 0x4p-60 : 0x4p-60 : inexact-ok
= atanh towardzero dbl-64 0x4p-60 : 0x4p-60 : inexact-ok
= atanh upward dbl-64 0x4p-60 : 0x4.0000000000004p-60 : inexact-ok
= atanh downward ldbl-96-intel 0x4p-60L : 0x4p-60L : inexact-ok
= atanh tonearest ldbl-96-intel 0x4p-60L : 0x4p-60L : inexact-ok
= atanh towardzero ldbl-96-intel 0x4p-60L : 0x4p-60L : inexact-ok
= atanh upward ldbl-96-intel 0x4p-60L : 0x4.0000000000000008p-60L : inexact-ok
= atanh downward ldbl-96-m68k 0x4p-60L : 0x4p-60L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x4p-60L : 0x4p-60L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x4p-60L : 0x4p-60L : inexact-ok
= atanh upward ldbl-96-m68k 0x4p-60L : 0x4.0000000000000008p-60L : inexact-ok
= atanh downward ldbl-128 0x4p-60L : 0x4p-60L : inexact-ok
= atanh tonearest ldbl-128 0x4p-60L : 0x4p-60L : inexact-ok
= atanh towardzero ldbl-128 0x4p-60L : 0x4p-60L : inexact-ok
= atanh upward ldbl-128 0x4p-60L : 0x4.0000000000000000000000000004p-60L : inexact-ok
= atanh downward ldbl-128ibm 0x4p-60L : 0x4p-60L : inexact-ok
= atanh tonearest ldbl-128ibm 0x4p-60L : 0x4p-60L : inexact-ok
= atanh towardzero ldbl-128ibm 0x4p-60L : 0x4p-60L : inexact-ok
= atanh upward ldbl-128ibm 0x4p-60L : 0x4.00000000000000000000000002p-60L : inexact-ok
atanh 0x1p-59
= atanh downward flt-32 0x2p-60f : 0x2p-60f : inexact-ok
= atanh tonearest flt-32 0x2p-60f : 0x2p-60f : inexact-ok
= atanh towardzero flt-32 0x2p-60f : 0x2p-60f : inexact-ok
= atanh upward flt-32 0x2p-60f : 0x2.000004p-60f : inexact-ok
= atanh downward dbl-64 0x2p-60 : 0x2p-60 : inexact-ok
= atanh tonearest dbl-64 0x2p-60 : 0x2p-60 : inexact-ok
= atanh towardzero dbl-64 0x2p-60 : 0x2p-60 : inexact-ok
= atanh upward dbl-64 0x2p-60 : 0x2.0000000000002p-60 : inexact-ok
= atanh downward ldbl-96-intel 0x2p-60L : 0x2p-60L : inexact-ok
= atanh tonearest ldbl-96-intel 0x2p-60L : 0x2p-60L : inexact-ok
= atanh towardzero ldbl-96-intel 0x2p-60L : 0x2p-60L : inexact-ok
= atanh upward ldbl-96-intel 0x2p-60L : 0x2.0000000000000004p-60L : inexact-ok
= atanh downward ldbl-96-m68k 0x2p-60L : 0x2p-60L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x2p-60L : 0x2p-60L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x2p-60L : 0x2p-60L : inexact-ok
= atanh upward ldbl-96-m68k 0x2p-60L : 0x2.0000000000000004p-60L : inexact-ok
= atanh downward ldbl-128 0x2p-60L : 0x2p-60L : inexact-ok
= atanh tonearest ldbl-128 0x2p-60L : 0x2p-60L : inexact-ok
= atanh towardzero ldbl-128 0x2p-60L : 0x2p-60L : inexact-ok
= atanh upward ldbl-128 0x2p-60L : 0x2.0000000000000000000000000002p-60L : inexact-ok
= atanh downward ldbl-128ibm 0x2p-60L : 0x2p-60L : inexact-ok
= atanh tonearest ldbl-128ibm 0x2p-60L : 0x2p-60L : inexact-ok
= atanh towardzero ldbl-128ibm 0x2p-60L : 0x2p-60L : inexact-ok
= atanh upward ldbl-128ibm 0x2p-60L : 0x2.00000000000000000000000001p-60L : inexact-ok
atanh 0x1p-100
= atanh downward flt-32 0x1p-100f : 0x1p-100f : inexact-ok
= atanh tonearest flt-32 0x1p-100f : 0x1p-100f : inexact-ok
= atanh towardzero flt-32 0x1p-100f : 0x1p-100f : inexact-ok
= atanh upward flt-32 0x1p-100f : 0x1.000002p-100f : inexact-ok
= atanh downward dbl-64 0x1p-100 : 0x1p-100 : inexact-ok
= atanh tonearest dbl-64 0x1p-100 : 0x1p-100 : inexact-ok
= atanh towardzero dbl-64 0x1p-100 : 0x1p-100 : inexact-ok
= atanh upward dbl-64 0x1p-100 : 0x1.0000000000001p-100 : inexact-ok
= atanh downward ldbl-96-intel 0x1p-100L : 0x1p-100L : inexact-ok
= atanh tonearest ldbl-96-intel 0x1p-100L : 0x1p-100L : inexact-ok
= atanh towardzero ldbl-96-intel 0x1p-100L : 0x1p-100L : inexact-ok
= atanh upward ldbl-96-intel 0x1p-100L : 0x1.0000000000000002p-100L : inexact-ok
= atanh downward ldbl-96-m68k 0x1p-100L : 0x1p-100L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x1p-100L : 0x1p-100L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x1p-100L : 0x1p-100L : inexact-ok
= atanh upward ldbl-96-m68k 0x1p-100L : 0x1.0000000000000002p-100L : inexact-ok
= atanh downward ldbl-128 0x1p-100L : 0x1p-100L : inexact-ok
= atanh tonearest ldbl-128 0x1p-100L : 0x1p-100L : inexact-ok
= atanh towardzero ldbl-128 0x1p-100L : 0x1p-100L : inexact-ok
= atanh upward ldbl-128 0x1p-100L : 0x1.0000000000000000000000000001p-100L : inexact-ok
= atanh downward ldbl-128ibm 0x1p-100L : 0x1p-100L : inexact-ok
= atanh tonearest ldbl-128ibm 0x1p-100L : 0x1p-100L : inexact-ok
= atanh towardzero ldbl-128ibm 0x1p-100L : 0x1p-100L : inexact-ok
= atanh upward ldbl-128ibm 0x1p-100L : 0x1.000000000000000000000000008p-100L : inexact-ok
atanh 0x1p-500 missing-underflow
= atanh downward flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok
= atanh tonearest flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok
= atanh towardzero flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok
= atanh upward flt-32 0x8p-152f : 0x1p-148f : inexact-ok underflow underflow-ok errno-erange-ok
= atanh downward dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= atanh tonearest dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= atanh towardzero dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= atanh upward dbl-64 0x8p-152 : 0x8.0000000000008p-152 : inexact-ok
= atanh downward ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-96-intel 0x8p-152L : 0x8.000000000000001p-152L : inexact-ok
= atanh downward ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-96-m68k 0x8p-152L : 0x8.000000000000001p-152L : inexact-ok
= atanh downward ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-128 0x8p-152L : 0x8.0000000000000000000000000008p-152L : inexact-ok
= atanh downward ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-128ibm 0x8p-152L : 0x8.00000000000000000000000004p-152L : inexact-ok
= atanh downward flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh tonearest flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh towardzero flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh upward flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh downward dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh tonearest dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh towardzero dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh upward dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh downward ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward dbl-64 0x1p-500 : 0x1p-500 : inexact-ok
= atanh tonearest dbl-64 0x1p-500 : 0x1p-500 : inexact-ok
= atanh towardzero dbl-64 0x1p-500 : 0x1p-500 : inexact-ok
= atanh upward dbl-64 0x1p-500 : 0x1.0000000000001p-500 : inexact-ok
= atanh downward ldbl-96-intel 0x1p-500L : 0x1p-500L : inexact-ok
= atanh tonearest ldbl-96-intel 0x1p-500L : 0x1p-500L : inexact-ok
= atanh towardzero ldbl-96-intel 0x1p-500L : 0x1p-500L : inexact-ok
= atanh upward ldbl-96-intel 0x1p-500L : 0x1.0000000000000002p-500L : inexact-ok
= atanh downward ldbl-96-m68k 0x1p-500L : 0x1p-500L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x1p-500L : 0x1p-500L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x1p-500L : 0x1p-500L : inexact-ok
= atanh upward ldbl-96-m68k 0x1p-500L : 0x1.0000000000000002p-500L : inexact-ok
= atanh downward ldbl-128 0x1p-500L : 0x1p-500L : inexact-ok
= atanh tonearest ldbl-128 0x1p-500L : 0x1p-500L : inexact-ok
= atanh towardzero ldbl-128 0x1p-500L : 0x1p-500L : inexact-ok
= atanh upward ldbl-128 0x1p-500L : 0x1.0000000000000000000000000001p-500L : inexact-ok
= atanh downward ldbl-128ibm 0x1p-500L : 0x1p-500L : inexact-ok
= atanh tonearest ldbl-128ibm 0x1p-500L : 0x1p-500L : inexact-ok
= atanh towardzero ldbl-128ibm 0x1p-500L : 0x1p-500L : inexact-ok
= atanh upward ldbl-128ibm 0x1p-500L : 0x1.000000000000000000000000008p-500L : inexact-ok
atanh 0x1p-5000 missing-underflow
= atanh downward flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok
= atanh tonearest flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok
= atanh towardzero flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok
= atanh upward flt-32 0x8p-152f : 0x1p-148f : inexact-ok underflow underflow-ok errno-erange-ok
= atanh downward dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= atanh tonearest dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= atanh towardzero dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= atanh upward dbl-64 0x8p-152 : 0x8.0000000000008p-152 : inexact-ok
= atanh downward ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-96-intel 0x8p-152L : 0x8.000000000000001p-152L : inexact-ok
= atanh downward ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-96-m68k 0x8p-152L : 0x8.000000000000001p-152L : inexact-ok
= atanh downward ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-128 0x8p-152L : 0x8.0000000000000000000000000008p-152L : inexact-ok
= atanh downward ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-128ibm 0x8p-152L : 0x8.00000000000000000000000004p-152L : inexact-ok
= atanh downward flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh tonearest flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh towardzero flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh upward flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh downward dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh tonearest dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh towardzero dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh upward dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh downward ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok
= atanh tonearest dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok
= atanh towardzero dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok
= atanh upward dbl-64 0x4p-1076 : 0x8p-1076 : inexact-ok underflow underflow-ok errno-erange-ok
= atanh downward ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh tonearest ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh towardzero ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh upward ldbl-96-intel 0x4p-1076L : 0x4.0000000000000008p-1076L : inexact-ok
= atanh downward ldbl-96-m68k 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh upward ldbl-96-m68k 0x4p-1076L : 0x4.0000000000000008p-1076L : inexact-ok
= atanh downward ldbl-128 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh tonearest ldbl-128 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh towardzero ldbl-128 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh upward ldbl-128 0x4p-1076L : 0x4.0000000000000000000000000004p-1076L : inexact-ok
= atanh downward ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok
= atanh tonearest ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok
= atanh towardzero ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok
= atanh upward ldbl-128ibm 0x4p-1076L : 0x8p-1076L : inexact-ok underflow underflow-ok errno-erange-ok
= atanh downward ldbl-96-intel 0x1p-5000L : 0x1p-5000L : inexact-ok
= atanh tonearest ldbl-96-intel 0x1p-5000L : 0x1p-5000L : inexact-ok
= atanh towardzero ldbl-96-intel 0x1p-5000L : 0x1p-5000L : inexact-ok
= atanh upward ldbl-96-intel 0x1p-5000L : 0x1.0000000000000002p-5000L : inexact-ok
= atanh downward ldbl-96-m68k 0x1p-5000L : 0x1p-5000L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x1p-5000L : 0x1p-5000L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x1p-5000L : 0x1p-5000L : inexact-ok
= atanh upward ldbl-96-m68k 0x1p-5000L : 0x1.0000000000000002p-5000L : inexact-ok
= atanh downward ldbl-128 0x1p-5000L : 0x1p-5000L : inexact-ok
= atanh tonearest ldbl-128 0x1p-5000L : 0x1p-5000L : inexact-ok
= atanh towardzero ldbl-128 0x1p-5000L : 0x1p-5000L : inexact-ok
= atanh upward ldbl-128 0x1p-5000L : 0x1.0000000000000000000000000001p-5000L : inexact-ok
atanh min missing-underflow
= atanh downward flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok errno-erange-ok
= atanh tonearest flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok errno-erange-ok

2
sysdeps/i386/fpu/libm-test-ulps
View File

@ -150,6 +150,8 @@ ildouble: 2
ldouble: 1
Function: "atanh_towardzero":
double: 1
float: 1
idouble: 1
ifloat: 1
ildouble: 4

2
sysdeps/ieee754/ldbl-128ibm/e_atanhl.c
View File

@ -54,7 +54,7 @@ __ieee754_atanhl(long double x)
if (t == one)
return x/zero;
}
if(ix<0x3e20000000000000LL&&(huge+x)>zero) return x; /* x<2**-29 */
if(ix<0x3c70000000000000LL&&(huge+x)>zero) return x; /* x<2**-56 */
x = fabsl (x);
if(ix<0x3fe0000000000000LL) { /* x < 0.5 */
t = x+x;

4
sysdeps/ieee754/ldbl-96/e_atanhl.c
View File

@ -52,9 +52,9 @@ __ieee754_atanhl(long double x)
return (x-x)/(x-x);
if(ix==0x3fff)
return x/zero;
if(ix<0x3fe3) {
if(ix<0x3fdf) {
math_force_eval(huge+x);
return x; /* x<2**-28 */
return x; /* x<2**-32 */
}
SET_LDOUBLE_EXP(x,ix);
if(ix<0x3ffe) { /* x < 0.5 */

4
sysdeps/x86_64/fpu/libm-test-ulps
View File

@ -170,7 +170,9 @@ ildouble: 1
ldouble: 1
Function: "atanh":
double: 1
float: 1
idouble: 1
ifloat: 1
ildouble: 1
ldouble: 1
@ -184,7 +186,9 @@ ildouble: 2
ldouble: 2
Function: "atanh_towardzero":
double: 1
float: 1
idouble: 1
ifloat: 1
ildouble: 2
ldouble: 2