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Fix exp2 missing underflows (bug 16521). 

Various exp2 implementations in glibc can miss underflow exceptions
when the scaling down part of the calculation is exact (or, in the x86
case, when the conversion from extended precision to the target
precision is exact).  This patch forces the exception in a similar way
to previous fixes.

The x86 exp2f changes may in fact not be needed for this purpose -
it's likely to be the case that no argument of type float has an exp2
result so close to an exact subnormal float value that it equals that
value when rounded to 64 bits (even taking account of variation
between different x86 implementations).  However, they are included
for consistency with the changes to exp2 and so as to fix the exp2f
part of bug 18875 by ensuring that excess range and precision is
removed from underflowing return values.

Tested for x86_64, x86 and mips64.

	[BZ #16521]
	[BZ #18875]
	* math/e_exp2l.c (__ieee754_exp2l): Force underflow exception for
	small results.
	* sysdeps/i386/fpu/e_exp2.S (dbl_min): New object.
	(MO): New macro.
	(__ieee754_exp2): For small results, force underflow exception and
	remove excess range and precision from return value.
	* sysdeps/i386/fpu/e_exp2f.S (flt_min): New object.
	(MO): New macro.
	(__ieee754_exp2f): For small results, force underflow exception
	and remove excess range and precision from return value.
	* sysdeps/i386/fpu/e_exp2l.S (ldbl_min): New object.
	(MO): New macro.
	(__ieee754_exp2l): Force underflow exception for small results.
	* sysdeps/ieee754/dbl-64/e_exp2.c (__ieee754_exp2): Likewise.
	* sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Likewise.
	* sysdeps/x86_64/fpu/e_exp2l.S (ldbl_min): New object.
	(MO): New macro.
	(__ieee754_exp2l): Force underflow exception for small results.
	* math/auto-libm-test-in: Add more tests or exp2.
	* math/auto-libm-test-out: Regenerated.
This commit is contained in:
Joseph Myers 2015-09-14 22:00:12 +00:00
parent ca6be1655b
commit 903af5af9a
11 changed files with 773 additions and 12 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

25
ChangeLog
View File

@ -1,3 +1,28 @@
2015-09-14 Joseph Myers <joseph@codesourcery.com>
[BZ #16521]
[BZ #18875]
* math/e_exp2l.c (__ieee754_exp2l): Force underflow exception for
small results.
* sysdeps/i386/fpu/e_exp2.S (dbl_min): New object.
(MO): New macro.
(__ieee754_exp2): For small results, force underflow exception and
remove excess range and precision from return value.
* sysdeps/i386/fpu/e_exp2f.S (flt_min): New object.
(MO): New macro.
(__ieee754_exp2f): For small results, force underflow exception
and remove excess range and precision from return value.
* sysdeps/i386/fpu/e_exp2l.S (ldbl_min): New object.
(MO): New macro.
(__ieee754_exp2l): Force underflow exception for small results.
* sysdeps/ieee754/dbl-64/e_exp2.c (__ieee754_exp2): Likewise.
* sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Likewise.
* sysdeps/x86_64/fpu/e_exp2l.S (ldbl_min): New object.
(MO): New macro.
(__ieee754_exp2l): Force underflow exception for small results.
* math/auto-libm-test-in: Add more tests or exp2.
* math/auto-libm-test-out: Regenerated.
2015-09-14 Carlos O'Donell <carlos@redhat.com>
* malloc/malloc.c (systrim): Use ALIGN_DOWN.

8
NEWS
View File

@ -10,10 +10,10 @@ Version 2.23
* The following bugs are resolved with this release:
2542, 2543, 2558, 2898, 14341, 14912, 15786, 16141, 16517, 16519, 16520,
16734, 16973, 16985, 17787, 17905, 18084, 18086, 18240, 18265, 18370,
18421, 18480, 18525, 18610, 18618, 18647, 18661, 18674, 18675, 18681,
18757, 18778, 18781, 18787, 18789, 18790, 18795, 18796, 18820, 18823,
18824, 18863, 18870, 18873, 18887, 18921, 18952.
16521, 16734, 16973, 16985, 17787, 17905, 18084, 18086, 18240, 18265,
18370, 18421, 18480, 18525, 18610, 18618, 18647, 18661, 18674, 18675,
18681, 18757, 18778, 18781, 18787, 18789, 18790, 18795, 18796, 18820,
18823, 18824, 18863, 18870, 18873, 18887, 18921, 18952.
* The obsolete header <regexp.h> has been removed. Programs that require
this header must be updated to use <regex.h> instead.

23
math/auto-libm-test-in
View File

@ -1497,6 +1497,29 @@ exp2 1023
exp2 -1074
exp2 16383
exp2 -16400
exp2 -126.125
exp2 -126.25
exp2 -126.375
exp2 -126.5
exp2 -126.625
exp2 -126.75
exp2 -126.875
exp2 -1022.125
exp2 -1022.25
exp2 -1022.375
exp2 -1022.5
exp2 -1022.625
exp2 -1022.75
exp2 -1022.875
exp2 -0x3.fe4e8p+8
exp2 -0x3.fe513p+8
exp2 -16382.125
exp2 -16382.25
exp2 -16382.375
exp2 -16382.5
exp2 -16382.625
exp2 -16382.75
exp2 -16382.875
exp2 0x1p-10
exp2 -0x1p-10
exp2 0x1p-20

575
math/auto-libm-test-out
View File

@ -117963,6 +117963,581 @@ exp2 -16400
= exp2 tonearest ldbl-128ibm -0x4.01p+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 towardzero ldbl-128ibm -0x4.01p+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 upward ldbl-128ibm -0x4.01p+12L : 0x4p-1076L : inexact-ok underflow errno-erange-ok
exp2 -126.125
= exp2 downward flt-32 -0x7.e2p+4f : 0x3.ab0318p-128f : inexact-ok underflow errno-erange-ok
= exp2 tonearest flt-32 -0x7.e2p+4f : 0x3.ab0318p-128f : inexact-ok underflow errno-erange-ok
= exp2 towardzero flt-32 -0x7.e2p+4f : 0x3.ab0318p-128f : inexact-ok underflow errno-erange-ok
= exp2 upward flt-32 -0x7.e2p+4f : 0x3.ab032p-128f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x7.e2p+4 : 0x3.ab031b9f7490ep-128 : inexact-ok
= exp2 tonearest dbl-64 -0x7.e2p+4 : 0x3.ab031b9f7490ep-128 : inexact-ok
= exp2 towardzero dbl-64 -0x7.e2p+4 : 0x3.ab031b9f7490ep-128 : inexact-ok
= exp2 upward dbl-64 -0x7.e2p+4 : 0x3.ab031b9f7491p-128 : inexact-ok
= exp2 downward ldbl-96-intel -0x7.e2p+4L : 0x3.ab031b9f7490e4b8p-128L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x7.e2p+4L : 0x3.ab031b9f7490e4bcp-128L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x7.e2p+4L : 0x3.ab031b9f7490e4b8p-128L : inexact-ok
= exp2 upward ldbl-96-intel -0x7.e2p+4L : 0x3.ab031b9f7490e4bcp-128L : inexact-ok
= exp2 downward ldbl-96-m68k -0x7.e2p+4L : 0x3.ab031b9f7490e4b8p-128L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x7.e2p+4L : 0x3.ab031b9f7490e4bcp-128L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x7.e2p+4L : 0x3.ab031b9f7490e4b8p-128L : inexact-ok
= exp2 upward ldbl-96-m68k -0x7.e2p+4L : 0x3.ab031b9f7490e4bcp-128L : inexact-ok
= exp2 downward ldbl-128 -0x7.e2p+4L : 0x3.ab031b9f7490e4bb40b5d6cdc1b8p-128L : inexact-ok
= exp2 tonearest ldbl-128 -0x7.e2p+4L : 0x3.ab031b9f7490e4bb40b5d6cdc1bap-128L : inexact-ok
= exp2 towardzero ldbl-128 -0x7.e2p+4L : 0x3.ab031b9f7490e4bb40b5d6cdc1b8p-128L : inexact-ok
= exp2 upward ldbl-128 -0x7.e2p+4L : 0x3.ab031b9f7490e4bb40b5d6cdc1bap-128L : inexact-ok
= exp2 downward ldbl-128ibm -0x7.e2p+4L : 0x3.ab031b9f7490e4bb40b5d6cdc1p-128L : inexact-ok
= exp2 tonearest ldbl-128ibm -0x7.e2p+4L : 0x3.ab031b9f7490e4bb40b5d6cdc2p-128L : inexact-ok
= exp2 towardzero ldbl-128ibm -0x7.e2p+4L : 0x3.ab031b9f7490e4bb40b5d6cdc1p-128L : inexact-ok
= exp2 upward ldbl-128ibm -0x7.e2p+4L : 0x3.ab031b9f7490e4bb40b5d6cdc2p-128L : inexact-ok
exp2 -126.25
= exp2 downward flt-32 -0x7.e4p+4f : 0x3.5d13fp-128f : inexact-ok underflow errno-erange-ok
= exp2 tonearest flt-32 -0x7.e4p+4f : 0x3.5d13fp-128f : inexact-ok underflow errno-erange-ok
= exp2 towardzero flt-32 -0x7.e4p+4f : 0x3.5d13fp-128f : inexact-ok underflow errno-erange-ok
= exp2 upward flt-32 -0x7.e4p+4f : 0x3.5d13f8p-128f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x7.e4p+4 : 0x3.5d13f32b5a75ap-128 : inexact-ok
= exp2 tonearest dbl-64 -0x7.e4p+4 : 0x3.5d13f32b5a75ap-128 : inexact-ok
= exp2 towardzero dbl-64 -0x7.e4p+4 : 0x3.5d13f32b5a75ap-128 : inexact-ok
= exp2 upward dbl-64 -0x7.e4p+4 : 0x3.5d13f32b5a75cp-128 : inexact-ok
= exp2 downward ldbl-96-intel -0x7.e4p+4L : 0x3.5d13f32b5a75abdp-128L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x7.e4p+4L : 0x3.5d13f32b5a75abdp-128L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x7.e4p+4L : 0x3.5d13f32b5a75abdp-128L : inexact-ok
= exp2 upward ldbl-96-intel -0x7.e4p+4L : 0x3.5d13f32b5a75abd4p-128L : inexact-ok
= exp2 downward ldbl-96-m68k -0x7.e4p+4L : 0x3.5d13f32b5a75abdp-128L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x7.e4p+4L : 0x3.5d13f32b5a75abdp-128L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x7.e4p+4L : 0x3.5d13f32b5a75abdp-128L : inexact-ok
= exp2 upward ldbl-96-m68k -0x7.e4p+4L : 0x3.5d13f32b5a75abd4p-128L : inexact-ok
= exp2 downward ldbl-128 -0x7.e4p+4L : 0x3.5d13f32b5a75abd0e69a2ee640b4p-128L : inexact-ok
= exp2 tonearest ldbl-128 -0x7.e4p+4L : 0x3.5d13f32b5a75abd0e69a2ee640b4p-128L : inexact-ok
= exp2 towardzero ldbl-128 -0x7.e4p+4L : 0x3.5d13f32b5a75abd0e69a2ee640b4p-128L : inexact-ok
= exp2 upward ldbl-128 -0x7.e4p+4L : 0x3.5d13f32b5a75abd0e69a2ee640b6p-128L : inexact-ok
= exp2 downward ldbl-128ibm -0x7.e4p+4L : 0x3.5d13f32b5a75abd0e69a2ee64p-128L : inexact-ok
= exp2 tonearest ldbl-128ibm -0x7.e4p+4L : 0x3.5d13f32b5a75abd0e69a2ee641p-128L : inexact-ok
= exp2 towardzero ldbl-128ibm -0x7.e4p+4L : 0x3.5d13f32b5a75abd0e69a2ee64p-128L : inexact-ok
= exp2 upward ldbl-128ibm -0x7.e4p+4L : 0x3.5d13f32b5a75abd0e69a2ee641p-128L : inexact-ok
exp2 -126.375
= exp2 downward flt-32 -0x7.e6p+4f : 0x3.159ca8p-128f : inexact-ok underflow errno-erange-ok
= exp2 tonearest flt-32 -0x7.e6p+4f : 0x3.159ca8p-128f : inexact-ok underflow errno-erange-ok
= exp2 towardzero flt-32 -0x7.e6p+4f : 0x3.159ca8p-128f : inexact-ok underflow errno-erange-ok
= exp2 upward flt-32 -0x7.e6p+4f : 0x3.159cbp-128f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x7.e6p+4 : 0x3.159ca845541b6p-128 : inexact-ok
= exp2 tonearest dbl-64 -0x7.e6p+4 : 0x3.159ca845541b6p-128 : inexact-ok
= exp2 towardzero dbl-64 -0x7.e6p+4 : 0x3.159ca845541b6p-128 : inexact-ok
= exp2 upward dbl-64 -0x7.e6p+4 : 0x3.159ca845541b8p-128 : inexact-ok
= exp2 downward ldbl-96-intel -0x7.e6p+4L : 0x3.159ca845541b6b74p-128L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x7.e6p+4L : 0x3.159ca845541b6b74p-128L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x7.e6p+4L : 0x3.159ca845541b6b74p-128L : inexact-ok
= exp2 upward ldbl-96-intel -0x7.e6p+4L : 0x3.159ca845541b6b78p-128L : inexact-ok
= exp2 downward ldbl-96-m68k -0x7.e6p+4L : 0x3.159ca845541b6b74p-128L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x7.e6p+4L : 0x3.159ca845541b6b74p-128L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x7.e6p+4L : 0x3.159ca845541b6b74p-128L : inexact-ok
= exp2 upward ldbl-96-m68k -0x7.e6p+4L : 0x3.159ca845541b6b78p-128L : inexact-ok
= exp2 downward ldbl-128 -0x7.e6p+4L : 0x3.159ca845541b6b74f8ab43259376p-128L : inexact-ok
= exp2 tonearest ldbl-128 -0x7.e6p+4L : 0x3.159ca845541b6b74f8ab43259376p-128L : inexact-ok
= exp2 towardzero ldbl-128 -0x7.e6p+4L : 0x3.159ca845541b6b74f8ab43259376p-128L : inexact-ok
= exp2 upward ldbl-128 -0x7.e6p+4L : 0x3.159ca845541b6b74f8ab43259378p-128L : inexact-ok
= exp2 downward ldbl-128ibm -0x7.e6p+4L : 0x3.159ca845541b6b74f8ab432593p-128L : inexact-ok
= exp2 tonearest ldbl-128ibm -0x7.e6p+4L : 0x3.159ca845541b6b74f8ab432593p-128L : inexact-ok
= exp2 towardzero ldbl-128ibm -0x7.e6p+4L : 0x3.159ca845541b6b74f8ab432593p-128L : inexact-ok
= exp2 upward ldbl-128ibm -0x7.e6p+4L : 0x3.159ca845541b6b74f8ab432594p-128L : inexact-ok
exp2 -126.5
= exp2 downward flt-32 -0x7.e8p+4f : 0x2.d413c8p-128f : inexact-ok underflow errno-erange-ok
= exp2 tonearest flt-32 -0x7.e8p+4f : 0x2.d413dp-128f : inexact-ok underflow errno-erange-ok
= exp2 towardzero flt-32 -0x7.e8p+4f : 0x2.d413c8p-128f : inexact-ok underflow errno-erange-ok
= exp2 upward flt-32 -0x7.e8p+4f : 0x2.d413dp-128f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x7.e8p+4 : 0x2.d413cccfe7798p-128 : inexact-ok
= exp2 tonearest dbl-64 -0x7.e8p+4 : 0x2.d413cccfe779ap-128 : inexact-ok
= exp2 towardzero dbl-64 -0x7.e8p+4 : 0x2.d413cccfe7798p-128 : inexact-ok
= exp2 upward dbl-64 -0x7.e8p+4 : 0x2.d413cccfe779ap-128 : inexact-ok
= exp2 downward ldbl-96-intel -0x7.e8p+4L : 0x2.d413cccfe779921p-128L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x7.e8p+4L : 0x2.d413cccfe779921p-128L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x7.e8p+4L : 0x2.d413cccfe779921p-128L : inexact-ok
= exp2 upward ldbl-96-intel -0x7.e8p+4L : 0x2.d413cccfe7799214p-128L : inexact-ok
= exp2 downward ldbl-96-m68k -0x7.e8p+4L : 0x2.d413cccfe779921p-128L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x7.e8p+4L : 0x2.d413cccfe779921p-128L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x7.e8p+4L : 0x2.d413cccfe779921p-128L : inexact-ok
= exp2 upward ldbl-96-m68k -0x7.e8p+4L : 0x2.d413cccfe7799214p-128L : inexact-ok
= exp2 downward ldbl-128 -0x7.e8p+4L : 0x2.d413cccfe779921165f626cdd52ap-128L : inexact-ok
= exp2 tonearest ldbl-128 -0x7.e8p+4L : 0x2.d413cccfe779921165f626cdd52ap-128L : inexact-ok
= exp2 towardzero ldbl-128 -0x7.e8p+4L : 0x2.d413cccfe779921165f626cdd52ap-128L : inexact-ok
= exp2 upward ldbl-128 -0x7.e8p+4L : 0x2.d413cccfe779921165f626cdd52cp-128L : inexact-ok
= exp2 downward ldbl-128ibm -0x7.e8p+4L : 0x2.d413cccfe779921165f626cdd5p-128L : inexact-ok
= exp2 tonearest ldbl-128ibm -0x7.e8p+4L : 0x2.d413cccfe779921165f626cdd5p-128L : inexact-ok
= exp2 towardzero ldbl-128ibm -0x7.e8p+4L : 0x2.d413cccfe779921165f626cdd5p-128L : inexact-ok
= exp2 upward ldbl-128ibm -0x7.e8p+4L : 0x2.d413cccfe779921165f626cdd6p-128L : inexact-ok
exp2 -126.625
= exp2 downward flt-32 -0x7.eap+4f : 0x2.97fb58p-128f : inexact-ok underflow errno-erange-ok
= exp2 tonearest flt-32 -0x7.eap+4f : 0x2.97fb58p-128f : inexact-ok underflow errno-erange-ok
= exp2 towardzero flt-32 -0x7.eap+4f : 0x2.97fb58p-128f : inexact-ok underflow errno-erange-ok
= exp2 upward flt-32 -0x7.eap+4f : 0x2.97fb6p-128f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x7.eap+4 : 0x2.97fb5aa6c544ep-128 : inexact-ok
= exp2 tonearest dbl-64 -0x7.eap+4 : 0x2.97fb5aa6c544ep-128 : inexact-ok
= exp2 towardzero dbl-64 -0x7.eap+4 : 0x2.97fb5aa6c544ep-128 : inexact-ok
= exp2 upward dbl-64 -0x7.eap+4 : 0x2.97fb5aa6c545p-128 : inexact-ok
= exp2 downward ldbl-96-intel -0x7.eap+4L : 0x2.97fb5aa6c544e3a8p-128L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x7.eap+4L : 0x2.97fb5aa6c544e3a8p-128L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x7.eap+4L : 0x2.97fb5aa6c544e3a8p-128L : inexact-ok
= exp2 upward ldbl-96-intel -0x7.eap+4L : 0x2.97fb5aa6c544e3acp-128L : inexact-ok
= exp2 downward ldbl-96-m68k -0x7.eap+4L : 0x2.97fb5aa6c544e3a8p-128L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x7.eap+4L : 0x2.97fb5aa6c544e3a8p-128L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x7.eap+4L : 0x2.97fb5aa6c544e3a8p-128L : inexact-ok
= exp2 upward ldbl-96-m68k -0x7.eap+4L : 0x2.97fb5aa6c544e3acp-128L : inexact-ok
= exp2 downward ldbl-128 -0x7.eap+4L : 0x2.97fb5aa6c544e3a872f5fd885c4p-128L : inexact-ok
= exp2 tonearest ldbl-128 -0x7.eap+4L : 0x2.97fb5aa6c544e3a872f5fd885c42p-128L : inexact-ok
= exp2 towardzero ldbl-128 -0x7.eap+4L : 0x2.97fb5aa6c544e3a872f5fd885c4p-128L : inexact-ok
= exp2 upward ldbl-128 -0x7.eap+4L : 0x2.97fb5aa6c544e3a872f5fd885c42p-128L : inexact-ok
= exp2 downward ldbl-128ibm -0x7.eap+4L : 0x2.97fb5aa6c544e3a872f5fd885cp-128L : inexact-ok
= exp2 tonearest ldbl-128ibm -0x7.eap+4L : 0x2.97fb5aa6c544e3a872f5fd885cp-128L : inexact-ok
= exp2 towardzero ldbl-128ibm -0x7.eap+4L : 0x2.97fb5aa6c544e3a872f5fd885cp-128L : inexact-ok
= exp2 upward ldbl-128ibm -0x7.eap+4L : 0x2.97fb5aa6c544e3a872f5fd885dp-128L : inexact-ok
exp2 -126.75
= exp2 downward flt-32 -0x7.ecp+4f : 0x2.60dfcp-128f : inexact-ok underflow errno-erange-ok
= exp2 tonearest flt-32 -0x7.ecp+4f : 0x2.60dfcp-128f : inexact-ok underflow errno-erange-ok
= exp2 towardzero flt-32 -0x7.ecp+4f : 0x2.60dfcp-128f : inexact-ok underflow errno-erange-ok
= exp2 upward flt-32 -0x7.ecp+4f : 0x2.60dfc8p-128f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x7.ecp+4 : 0x2.60dfc14636e2ap-128 : inexact-ok
= exp2 tonearest dbl-64 -0x7.ecp+4 : 0x2.60dfc14636e2ap-128 : inexact-ok
= exp2 towardzero dbl-64 -0x7.ecp+4 : 0x2.60dfc14636e2ap-128 : inexact-ok
= exp2 upward dbl-64 -0x7.ecp+4 : 0x2.60dfc14636e2cp-128 : inexact-ok
= exp2 downward ldbl-96-intel -0x7.ecp+4L : 0x2.60dfc14636e2a5bcp-128L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x7.ecp+4L : 0x2.60dfc14636e2a5bcp-128L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x7.ecp+4L : 0x2.60dfc14636e2a5bcp-128L : inexact-ok
= exp2 upward ldbl-96-intel -0x7.ecp+4L : 0x2.60dfc14636e2a5cp-128L : inexact-ok
= exp2 downward ldbl-96-m68k -0x7.ecp+4L : 0x2.60dfc14636e2a5bcp-128L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x7.ecp+4L : 0x2.60dfc14636e2a5bcp-128L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x7.ecp+4L : 0x2.60dfc14636e2a5bcp-128L : inexact-ok
= exp2 upward ldbl-96-m68k -0x7.ecp+4L : 0x2.60dfc14636e2a5cp-128L : inexact-ok
= exp2 downward ldbl-128 -0x7.ecp+4L : 0x2.60dfc14636e2a5bd1ab48c60b90ap-128L : inexact-ok
= exp2 tonearest ldbl-128 -0x7.ecp+4L : 0x2.60dfc14636e2a5bd1ab48c60b90cp-128L : inexact-ok
= exp2 towardzero ldbl-128 -0x7.ecp+4L : 0x2.60dfc14636e2a5bd1ab48c60b90ap-128L : inexact-ok
= exp2 upward ldbl-128 -0x7.ecp+4L : 0x2.60dfc14636e2a5bd1ab48c60b90cp-128L : inexact-ok
= exp2 downward ldbl-128ibm -0x7.ecp+4L : 0x2.60dfc14636e2a5bd1ab48c60b9p-128L : inexact-ok
= exp2 tonearest ldbl-128ibm -0x7.ecp+4L : 0x2.60dfc14636e2a5bd1ab48c60b9p-128L : inexact-ok
= exp2 towardzero ldbl-128ibm -0x7.ecp+4L : 0x2.60dfc14636e2a5bd1ab48c60b9p-128L : inexact-ok
= exp2 upward ldbl-128ibm -0x7.ecp+4L : 0x2.60dfc14636e2a5bd1ab48c60bap-128L : inexact-ok
exp2 -126.875
= exp2 downward flt-32 -0x7.eep+4f : 0x2.2e57p-128f : inexact-ok underflow errno-erange-ok
= exp2 tonearest flt-32 -0x7.eep+4f : 0x2.2e5708p-128f : inexact-ok underflow errno-erange-ok
= exp2 towardzero flt-32 -0x7.eep+4f : 0x2.2e57p-128f : inexact-ok underflow errno-erange-ok
= exp2 upward flt-32 -0x7.eep+4f : 0x2.2e5708p-128f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x7.eep+4 : 0x2.2e57078faa2f4p-128 : inexact-ok
= exp2 tonearest dbl-64 -0x7.eep+4 : 0x2.2e57078faa2f6p-128 : inexact-ok
= exp2 towardzero dbl-64 -0x7.eep+4 : 0x2.2e57078faa2f4p-128 : inexact-ok
= exp2 upward dbl-64 -0x7.eep+4 : 0x2.2e57078faa2f6p-128 : inexact-ok
= exp2 downward ldbl-96-intel -0x7.eep+4L : 0x2.2e57078faa2f5b98p-128L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x7.eep+4L : 0x2.2e57078faa2f5b9cp-128L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x7.eep+4L : 0x2.2e57078faa2f5b98p-128L : inexact-ok
= exp2 upward ldbl-96-intel -0x7.eep+4L : 0x2.2e57078faa2f5b9cp-128L : inexact-ok
= exp2 downward ldbl-96-m68k -0x7.eep+4L : 0x2.2e57078faa2f5b98p-128L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x7.eep+4L : 0x2.2e57078faa2f5b9cp-128L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x7.eep+4L : 0x2.2e57078faa2f5b98p-128L : inexact-ok
= exp2 upward ldbl-96-m68k -0x7.eep+4L : 0x2.2e57078faa2f5b9cp-128L : inexact-ok
= exp2 downward ldbl-128 -0x7.eep+4L : 0x2.2e57078faa2f5b9bef918a1d6294p-128L : inexact-ok
= exp2 tonearest ldbl-128 -0x7.eep+4L : 0x2.2e57078faa2f5b9bef918a1d6294p-128L : inexact-ok
= exp2 towardzero ldbl-128 -0x7.eep+4L : 0x2.2e57078faa2f5b9bef918a1d6294p-128L : inexact-ok
= exp2 upward ldbl-128 -0x7.eep+4L : 0x2.2e57078faa2f5b9bef918a1d6296p-128L : inexact-ok
= exp2 downward ldbl-128ibm -0x7.eep+4L : 0x2.2e57078faa2f5b9bef918a1d62p-128L : inexact-ok
= exp2 tonearest ldbl-128ibm -0x7.eep+4L : 0x2.2e57078faa2f5b9bef918a1d63p-128L : inexact-ok
= exp2 towardzero ldbl-128ibm -0x7.eep+4L : 0x2.2e57078faa2f5b9bef918a1d62p-128L : inexact-ok
= exp2 upward ldbl-128ibm -0x7.eep+4L : 0x2.2e57078faa2f5b9bef918a1d63p-128L : inexact-ok
exp2 -1022.125
= exp2 downward flt-32 -0x3.fe2p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.fe2p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.fe2p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.fe2p+8f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.fe2p+8 : 0x3.ab031b9f7490cp-1024 : inexact-ok underflow errno-erange-ok
= exp2 tonearest dbl-64 -0x3.fe2p+8 : 0x3.ab031b9f7491p-1024 : inexact-ok underflow errno-erange-ok
= exp2 towardzero dbl-64 -0x3.fe2p+8 : 0x3.ab031b9f7490cp-1024 : inexact-ok underflow errno-erange-ok
= exp2 upward dbl-64 -0x3.fe2p+8 : 0x3.ab031b9f7491p-1024 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.fe2p+8L : 0x3.ab031b9f7490e4b8p-1024L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x3.fe2p+8L : 0x3.ab031b9f7490e4bcp-1024L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x3.fe2p+8L : 0x3.ab031b9f7490e4b8p-1024L : inexact-ok
= exp2 upward ldbl-96-intel -0x3.fe2p+8L : 0x3.ab031b9f7490e4bcp-1024L : inexact-ok
= exp2 downward ldbl-96-m68k -0x3.fe2p+8L : 0x3.ab031b9f7490e4b8p-1024L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.fe2p+8L : 0x3.ab031b9f7490e4bcp-1024L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.fe2p+8L : 0x3.ab031b9f7490e4b8p-1024L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.fe2p+8L : 0x3.ab031b9f7490e4bcp-1024L : inexact-ok
= exp2 downward ldbl-128 -0x3.fe2p+8L : 0x3.ab031b9f7490e4bb40b5d6cdc1b8p-1024L : inexact-ok
= exp2 tonearest ldbl-128 -0x3.fe2p+8L : 0x3.ab031b9f7490e4bb40b5d6cdc1bap-1024L : inexact-ok
= exp2 towardzero ldbl-128 -0x3.fe2p+8L : 0x3.ab031b9f7490e4bb40b5d6cdc1b8p-1024L : inexact-ok
= exp2 upward ldbl-128 -0x3.fe2p+8L : 0x3.ab031b9f7490e4bb40b5d6cdc1bap-1024L : inexact-ok
= exp2 downward ldbl-128ibm -0x3.fe2p+8L : 0x3.ab031b9f7490cp-1024L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128ibm -0x3.fe2p+8L : 0x3.ab031b9f7491p-1024L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128ibm -0x3.fe2p+8L : 0x3.ab031b9f7490cp-1024L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128ibm -0x3.fe2p+8L : 0x3.ab031b9f7491p-1024L : inexact-ok underflow errno-erange-ok
exp2 -1022.25
= exp2 downward flt-32 -0x3.fe4p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.fe4p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.fe4p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.fe4p+8f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.fe4p+8 : 0x3.5d13f32b5a758p-1024 : inexact-ok underflow errno-erange-ok
= exp2 tonearest dbl-64 -0x3.fe4p+8 : 0x3.5d13f32b5a75cp-1024 : inexact-ok underflow errno-erange-ok
= exp2 towardzero dbl-64 -0x3.fe4p+8 : 0x3.5d13f32b5a758p-1024 : inexact-ok underflow errno-erange-ok
= exp2 upward dbl-64 -0x3.fe4p+8 : 0x3.5d13f32b5a75cp-1024 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.fe4p+8L : 0x3.5d13f32b5a75abdp-1024L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x3.fe4p+8L : 0x3.5d13f32b5a75abdp-1024L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x3.fe4p+8L : 0x3.5d13f32b5a75abdp-1024L : inexact-ok
= exp2 upward ldbl-96-intel -0x3.fe4p+8L : 0x3.5d13f32b5a75abd4p-1024L : inexact-ok
= exp2 downward ldbl-96-m68k -0x3.fe4p+8L : 0x3.5d13f32b5a75abdp-1024L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.fe4p+8L : 0x3.5d13f32b5a75abdp-1024L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.fe4p+8L : 0x3.5d13f32b5a75abdp-1024L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.fe4p+8L : 0x3.5d13f32b5a75abd4p-1024L : inexact-ok
= exp2 downward ldbl-128 -0x3.fe4p+8L : 0x3.5d13f32b5a75abd0e69a2ee640b4p-1024L : inexact-ok
= exp2 tonearest ldbl-128 -0x3.fe4p+8L : 0x3.5d13f32b5a75abd0e69a2ee640b4p-1024L : inexact-ok
= exp2 towardzero ldbl-128 -0x3.fe4p+8L : 0x3.5d13f32b5a75abd0e69a2ee640b4p-1024L : inexact-ok
= exp2 upward ldbl-128 -0x3.fe4p+8L : 0x3.5d13f32b5a75abd0e69a2ee640b6p-1024L : inexact-ok
= exp2 downward ldbl-128ibm -0x3.fe4p+8L : 0x3.5d13f32b5a758p-1024L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128ibm -0x3.fe4p+8L : 0x3.5d13f32b5a75cp-1024L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128ibm -0x3.fe4p+8L : 0x3.5d13f32b5a758p-1024L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128ibm -0x3.fe4p+8L : 0x3.5d13f32b5a75cp-1024L : inexact-ok underflow errno-erange-ok
exp2 -1022.375
= exp2 downward flt-32 -0x3.fe6p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.fe6p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.fe6p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.fe6p+8f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.fe6p+8 : 0x3.159ca845541b4p-1024 : inexact-ok underflow errno-erange-ok
= exp2 tonearest dbl-64 -0x3.fe6p+8 : 0x3.159ca845541b8p-1024 : inexact-ok underflow errno-erange-ok
= exp2 towardzero dbl-64 -0x3.fe6p+8 : 0x3.159ca845541b4p-1024 : inexact-ok underflow errno-erange-ok
= exp2 upward dbl-64 -0x3.fe6p+8 : 0x3.159ca845541b8p-1024 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.fe6p+8L : 0x3.159ca845541b6b74p-1024L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x3.fe6p+8L : 0x3.159ca845541b6b74p-1024L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x3.fe6p+8L : 0x3.159ca845541b6b74p-1024L : inexact-ok
= exp2 upward ldbl-96-intel -0x3.fe6p+8L : 0x3.159ca845541b6b78p-1024L : inexact-ok
= exp2 downward ldbl-96-m68k -0x3.fe6p+8L : 0x3.159ca845541b6b74p-1024L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.fe6p+8L : 0x3.159ca845541b6b74p-1024L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.fe6p+8L : 0x3.159ca845541b6b74p-1024L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.fe6p+8L : 0x3.159ca845541b6b78p-1024L : inexact-ok
= exp2 downward ldbl-128 -0x3.fe6p+8L : 0x3.159ca845541b6b74f8ab43259376p-1024L : inexact-ok
= exp2 tonearest ldbl-128 -0x3.fe6p+8L : 0x3.159ca845541b6b74f8ab43259376p-1024L : inexact-ok
= exp2 towardzero ldbl-128 -0x3.fe6p+8L : 0x3.159ca845541b6b74f8ab43259376p-1024L : inexact-ok
= exp2 upward ldbl-128 -0x3.fe6p+8L : 0x3.159ca845541b6b74f8ab43259378p-1024L : inexact-ok
= exp2 downward ldbl-128ibm -0x3.fe6p+8L : 0x3.159ca845541b4p-1024L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128ibm -0x3.fe6p+8L : 0x3.159ca845541b8p-1024L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128ibm -0x3.fe6p+8L : 0x3.159ca845541b4p-1024L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128ibm -0x3.fe6p+8L : 0x3.159ca845541b8p-1024L : inexact-ok underflow errno-erange-ok
exp2 -1022.5
= exp2 downward flt-32 -0x3.fe8p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.fe8p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.fe8p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.fe8p+8f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.fe8p+8 : 0x2.d413cccfe7798p-1024 : inexact-ok underflow errno-erange-ok
= exp2 tonearest dbl-64 -0x3.fe8p+8 : 0x2.d413cccfe7798p-1024 : inexact-ok underflow errno-erange-ok
= exp2 towardzero dbl-64 -0x3.fe8p+8 : 0x2.d413cccfe7798p-1024 : inexact-ok underflow errno-erange-ok
= exp2 upward dbl-64 -0x3.fe8p+8 : 0x2.d413cccfe779cp-1024 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.fe8p+8L : 0x2.d413cccfe779921p-1024L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x3.fe8p+8L : 0x2.d413cccfe779921p-1024L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x3.fe8p+8L : 0x2.d413cccfe779921p-1024L : inexact-ok
= exp2 upward ldbl-96-intel -0x3.fe8p+8L : 0x2.d413cccfe7799214p-1024L : inexact-ok
= exp2 downward ldbl-96-m68k -0x3.fe8p+8L : 0x2.d413cccfe779921p-1024L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.fe8p+8L : 0x2.d413cccfe779921p-1024L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.fe8p+8L : 0x2.d413cccfe779921p-1024L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.fe8p+8L : 0x2.d413cccfe7799214p-1024L : inexact-ok
= exp2 downward ldbl-128 -0x3.fe8p+8L : 0x2.d413cccfe779921165f626cdd52ap-1024L : inexact-ok
= exp2 tonearest ldbl-128 -0x3.fe8p+8L : 0x2.d413cccfe779921165f626cdd52ap-1024L : inexact-ok
= exp2 towardzero ldbl-128 -0x3.fe8p+8L : 0x2.d413cccfe779921165f626cdd52ap-1024L : inexact-ok
= exp2 upward ldbl-128 -0x3.fe8p+8L : 0x2.d413cccfe779921165f626cdd52cp-1024L : inexact-ok
= exp2 downward ldbl-128ibm -0x3.fe8p+8L : 0x2.d413cccfe7798p-1024L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128ibm -0x3.fe8p+8L : 0x2.d413cccfe7798p-1024L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128ibm -0x3.fe8p+8L : 0x2.d413cccfe7798p-1024L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128ibm -0x3.fe8p+8L : 0x2.d413cccfe779cp-1024L : inexact-ok underflow errno-erange-ok
exp2 -1022.625
= exp2 downward flt-32 -0x3.feap+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.feap+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.feap+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.feap+8f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.feap+8 : 0x2.97fb5aa6c544cp-1024 : inexact-ok underflow errno-erange-ok
= exp2 tonearest dbl-64 -0x3.feap+8 : 0x2.97fb5aa6c545p-1024 : inexact-ok underflow errno-erange-ok
= exp2 towardzero dbl-64 -0x3.feap+8 : 0x2.97fb5aa6c544cp-1024 : inexact-ok underflow errno-erange-ok
= exp2 upward dbl-64 -0x3.feap+8 : 0x2.97fb5aa6c545p-1024 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.feap+8L : 0x2.97fb5aa6c544e3a8p-1024L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x3.feap+8L : 0x2.97fb5aa6c544e3a8p-1024L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x3.feap+8L : 0x2.97fb5aa6c544e3a8p-1024L : inexact-ok
= exp2 upward ldbl-96-intel -0x3.feap+8L : 0x2.97fb5aa6c544e3acp-1024L : inexact-ok
= exp2 downward ldbl-96-m68k -0x3.feap+8L : 0x2.97fb5aa6c544e3a8p-1024L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.feap+8L : 0x2.97fb5aa6c544e3a8p-1024L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.feap+8L : 0x2.97fb5aa6c544e3a8p-1024L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.feap+8L : 0x2.97fb5aa6c544e3acp-1024L : inexact-ok
= exp2 downward ldbl-128 -0x3.feap+8L : 0x2.97fb5aa6c544e3a872f5fd885c4p-1024L : inexact-ok
= exp2 tonearest ldbl-128 -0x3.feap+8L : 0x2.97fb5aa6c544e3a872f5fd885c42p-1024L : inexact-ok
= exp2 towardzero ldbl-128 -0x3.feap+8L : 0x2.97fb5aa6c544e3a872f5fd885c4p-1024L : inexact-ok
= exp2 upward ldbl-128 -0x3.feap+8L : 0x2.97fb5aa6c544e3a872f5fd885c42p-1024L : inexact-ok
= exp2 downward ldbl-128ibm -0x3.feap+8L : 0x2.97fb5aa6c544cp-1024L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128ibm -0x3.feap+8L : 0x2.97fb5aa6c545p-1024L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128ibm -0x3.feap+8L : 0x2.97fb5aa6c544cp-1024L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128ibm -0x3.feap+8L : 0x2.97fb5aa6c545p-1024L : inexact-ok underflow errno-erange-ok
exp2 -1022.75
= exp2 downward flt-32 -0x3.fecp+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.fecp+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.fecp+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.fecp+8f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.fecp+8 : 0x2.60dfc14636e28p-1024 : inexact-ok underflow errno-erange-ok
= exp2 tonearest dbl-64 -0x3.fecp+8 : 0x2.60dfc14636e2cp-1024 : inexact-ok underflow errno-erange-ok
= exp2 towardzero dbl-64 -0x3.fecp+8 : 0x2.60dfc14636e28p-1024 : inexact-ok underflow errno-erange-ok
= exp2 upward dbl-64 -0x3.fecp+8 : 0x2.60dfc14636e2cp-1024 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.fecp+8L : 0x2.60dfc14636e2a5bcp-1024L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x3.fecp+8L : 0x2.60dfc14636e2a5bcp-1024L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x3.fecp+8L : 0x2.60dfc14636e2a5bcp-1024L : inexact-ok
= exp2 upward ldbl-96-intel -0x3.fecp+8L : 0x2.60dfc14636e2a5cp-1024L : inexact-ok
= exp2 downward ldbl-96-m68k -0x3.fecp+8L : 0x2.60dfc14636e2a5bcp-1024L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.fecp+8L : 0x2.60dfc14636e2a5bcp-1024L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.fecp+8L : 0x2.60dfc14636e2a5bcp-1024L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.fecp+8L : 0x2.60dfc14636e2a5cp-1024L : inexact-ok
= exp2 downward ldbl-128 -0x3.fecp+8L : 0x2.60dfc14636e2a5bd1ab48c60b90ap-1024L : inexact-ok
= exp2 tonearest ldbl-128 -0x3.fecp+8L : 0x2.60dfc14636e2a5bd1ab48c60b90cp-1024L : inexact-ok
= exp2 towardzero ldbl-128 -0x3.fecp+8L : 0x2.60dfc14636e2a5bd1ab48c60b90ap-1024L : inexact-ok
= exp2 upward ldbl-128 -0x3.fecp+8L : 0x2.60dfc14636e2a5bd1ab48c60b90cp-1024L : inexact-ok
= exp2 downward ldbl-128ibm -0x3.fecp+8L : 0x2.60dfc14636e28p-1024L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128ibm -0x3.fecp+8L : 0x2.60dfc14636e2cp-1024L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128ibm -0x3.fecp+8L : 0x2.60dfc14636e28p-1024L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128ibm -0x3.fecp+8L : 0x2.60dfc14636e2cp-1024L : inexact-ok underflow errno-erange-ok
exp2 -1022.875
= exp2 downward flt-32 -0x3.feep+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.feep+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.feep+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.feep+8f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.feep+8 : 0x2.2e57078faa2f4p-1024 : inexact-ok underflow errno-erange-ok
= exp2 tonearest dbl-64 -0x3.feep+8 : 0x2.2e57078faa2f4p-1024 : inexact-ok underflow errno-erange-ok
= exp2 towardzero dbl-64 -0x3.feep+8 : 0x2.2e57078faa2f4p-1024 : inexact-ok underflow errno-erange-ok
= exp2 upward dbl-64 -0x3.feep+8 : 0x2.2e57078faa2f8p-1024 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.feep+8L : 0x2.2e57078faa2f5b98p-1024L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x3.feep+8L : 0x2.2e57078faa2f5b9cp-1024L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x3.feep+8L : 0x2.2e57078faa2f5b98p-1024L : inexact-ok
= exp2 upward ldbl-96-intel -0x3.feep+8L : 0x2.2e57078faa2f5b9cp-1024L : inexact-ok
= exp2 downward ldbl-96-m68k -0x3.feep+8L : 0x2.2e57078faa2f5b98p-1024L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.feep+8L : 0x2.2e57078faa2f5b9cp-1024L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.feep+8L : 0x2.2e57078faa2f5b98p-1024L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.feep+8L : 0x2.2e57078faa2f5b9cp-1024L : inexact-ok
= exp2 downward ldbl-128 -0x3.feep+8L : 0x2.2e57078faa2f5b9bef918a1d6294p-1024L : inexact-ok
= exp2 tonearest ldbl-128 -0x3.feep+8L : 0x2.2e57078faa2f5b9bef918a1d6294p-1024L : inexact-ok
= exp2 towardzero ldbl-128 -0x3.feep+8L : 0x2.2e57078faa2f5b9bef918a1d6294p-1024L : inexact-ok
= exp2 upward ldbl-128 -0x3.feep+8L : 0x2.2e57078faa2f5b9bef918a1d6296p-1024L : inexact-ok
= exp2 downward ldbl-128ibm -0x3.feep+8L : 0x2.2e57078faa2f4p-1024L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128ibm -0x3.feep+8L : 0x2.2e57078faa2f4p-1024L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128ibm -0x3.feep+8L : 0x2.2e57078faa2f4p-1024L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128ibm -0x3.feep+8L : 0x2.2e57078faa2f8p-1024L : inexact-ok underflow errno-erange-ok
exp2 -0x3.fe4e8p+8
= exp2 downward flt-32 -0x3.fe4e8p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.fe4e8p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.fe4e8p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.fe4e8p+8f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.fe4e8p+8 : 0x3.3bed4179f82bcp-1024 : inexact-ok underflow errno-erange-ok
= exp2 tonearest dbl-64 -0x3.fe4e8p+8 : 0x3.3bed4179f82bcp-1024 : inexact-ok underflow errno-erange-ok
= exp2 towardzero dbl-64 -0x3.fe4e8p+8 : 0x3.3bed4179f82bcp-1024 : inexact-ok underflow errno-erange-ok
= exp2 upward dbl-64 -0x3.fe4e8p+8 : 0x3.3bed4179f82cp-1024 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.fe4e8p+8L : 0x3.3bed4179f82bcp-1024L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x3.fe4e8p+8L : 0x3.3bed4179f82bc004p-1024L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x3.fe4e8p+8L : 0x3.3bed4179f82bcp-1024L : inexact-ok
= exp2 upward ldbl-96-intel -0x3.fe4e8p+8L : 0x3.3bed4179f82bc004p-1024L : inexact-ok
= exp2 downward ldbl-96-m68k -0x3.fe4e8p+8L : 0x3.3bed4179f82bcp-1024L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.fe4e8p+8L : 0x3.3bed4179f82bc004p-1024L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.fe4e8p+8L : 0x3.3bed4179f82bcp-1024L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.fe4e8p+8L : 0x3.3bed4179f82bc004p-1024L : inexact-ok
= exp2 downward ldbl-128 -0x3.fe4e8p+8L : 0x3.3bed4179f82bc002979648b91cf8p-1024L : inexact-ok
= exp2 tonearest ldbl-128 -0x3.fe4e8p+8L : 0x3.3bed4179f82bc002979648b91cfap-1024L : inexact-ok
= exp2 towardzero ldbl-128 -0x3.fe4e8p+8L : 0x3.3bed4179f82bc002979648b91cf8p-1024L : inexact-ok
= exp2 upward ldbl-128 -0x3.fe4e8p+8L : 0x3.3bed4179f82bc002979648b91cfap-1024L : inexact-ok
= exp2 downward ldbl-128ibm -0x3.fe4e8p+8L : 0x3.3bed4179f82bcp-1024L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128ibm -0x3.fe4e8p+8L : 0x3.3bed4179f82bcp-1024L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128ibm -0x3.fe4e8p+8L : 0x3.3bed4179f82bcp-1024L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128ibm -0x3.fe4e8p+8L : 0x3.3bed4179f82cp-1024L : inexact-ok underflow errno-erange-ok
exp2 -0x3.fe513p+8
= exp2 downward flt-32 -0x3.fe513p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.fe513p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.fe513p+8f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.fe513p+8f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.fe513p+8 : 0x3.35ec906f22fb8p-1024 : inexact-ok underflow errno-erange-ok
= exp2 tonearest dbl-64 -0x3.fe513p+8 : 0x3.35ec906f22fbcp-1024 : inexact-ok underflow errno-erange-ok
= exp2 towardzero dbl-64 -0x3.fe513p+8 : 0x3.35ec906f22fb8p-1024 : inexact-ok underflow errno-erange-ok
= exp2 upward dbl-64 -0x3.fe513p+8 : 0x3.35ec906f22fbcp-1024 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.fe513p+8L : 0x3.35ec906f22fbbffcp-1024L : inexact-ok
= exp2 tonearest ldbl-96-intel -0x3.fe513p+8L : 0x3.35ec906f22fbcp-1024L : inexact-ok
= exp2 towardzero ldbl-96-intel -0x3.fe513p+8L : 0x3.35ec906f22fbbffcp-1024L : inexact-ok
= exp2 upward ldbl-96-intel -0x3.fe513p+8L : 0x3.35ec906f22fbcp-1024L : inexact-ok
= exp2 downward ldbl-96-m68k -0x3.fe513p+8L : 0x3.35ec906f22fbbffcp-1024L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.fe513p+8L : 0x3.35ec906f22fbcp-1024L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.fe513p+8L : 0x3.35ec906f22fbbffcp-1024L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.fe513p+8L : 0x3.35ec906f22fbcp-1024L : inexact-ok
= exp2 downward ldbl-128 -0x3.fe513p+8L : 0x3.35ec906f22fbbffeffc0d272938p-1024L : inexact-ok
= exp2 tonearest ldbl-128 -0x3.fe513p+8L : 0x3.35ec906f22fbbffeffc0d272938p-1024L : inexact-ok
= exp2 towardzero ldbl-128 -0x3.fe513p+8L : 0x3.35ec906f22fbbffeffc0d272938p-1024L : inexact-ok
= exp2 upward ldbl-128 -0x3.fe513p+8L : 0x3.35ec906f22fbbffeffc0d2729382p-1024L : inexact-ok
= exp2 downward ldbl-128ibm -0x3.fe513p+8L : 0x3.35ec906f22fb8p-1024L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128ibm -0x3.fe513p+8L : 0x3.35ec906f22fbcp-1024L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128ibm -0x3.fe513p+8L : 0x3.35ec906f22fb8p-1024L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128ibm -0x3.fe513p+8L : 0x3.35ec906f22fbcp-1024L : inexact-ok underflow errno-erange-ok
exp2 -16382.125
= exp2 downward flt-32 -0x3.ffe2p+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.ffe2p+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.ffe2p+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.ffe2p+12f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.ffe2p+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 tonearest dbl-64 -0x3.ffe2p+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 towardzero dbl-64 -0x3.ffe2p+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 upward dbl-64 -0x3.ffe2p+12 : 0x4p-1076 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.ffe2p+12L : 0x3.ab031b9f7490e4b8p-16384L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-96-intel -0x3.ffe2p+12L : 0x3.ab031b9f7490e4b8p-16384L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-96-intel -0x3.ffe2p+12L : 0x3.ab031b9f7490e4b8p-16384L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-96-intel -0x3.ffe2p+12L : 0x3.ab031b9f7490e4cp-16384L : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-m68k -0x3.ffe2p+12L : 0x3.ab031b9f7490e4b8p-16384L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.ffe2p+12L : 0x3.ab031b9f7490e4bcp-16384L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.ffe2p+12L : 0x3.ab031b9f7490e4b8p-16384L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.ffe2p+12L : 0x3.ab031b9f7490e4bcp-16384L : inexact-ok
= exp2 downward ldbl-128 -0x3.ffe2p+12L : 0x3.ab031b9f7490e4bb40b5d6cdc1b8p-16384L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128 -0x3.ffe2p+12L : 0x3.ab031b9f7490e4bb40b5d6cdc1b8p-16384L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128 -0x3.ffe2p+12L : 0x3.ab031b9f7490e4bb40b5d6cdc1b8p-16384L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128 -0x3.ffe2p+12L : 0x3.ab031b9f7490e4bb40b5d6cdc1bcp-16384L : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-128ibm -0x3.ffe2p+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 tonearest ldbl-128ibm -0x3.ffe2p+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 towardzero ldbl-128ibm -0x3.ffe2p+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 upward ldbl-128ibm -0x3.ffe2p+12L : 0x4p-1076L : inexact-ok underflow errno-erange-ok
exp2 -16382.25
= exp2 downward flt-32 -0x3.ffe4p+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.ffe4p+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.ffe4p+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.ffe4p+12f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.ffe4p+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 tonearest dbl-64 -0x3.ffe4p+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 towardzero dbl-64 -0x3.ffe4p+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 upward dbl-64 -0x3.ffe4p+12 : 0x4p-1076 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.ffe4p+12L : 0x3.5d13f32b5a75abdp-16384L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-96-intel -0x3.ffe4p+12L : 0x3.5d13f32b5a75abdp-16384L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-96-intel -0x3.ffe4p+12L : 0x3.5d13f32b5a75abdp-16384L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-96-intel -0x3.ffe4p+12L : 0x3.5d13f32b5a75abd8p-16384L : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-m68k -0x3.ffe4p+12L : 0x3.5d13f32b5a75abdp-16384L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.ffe4p+12L : 0x3.5d13f32b5a75abdp-16384L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.ffe4p+12L : 0x3.5d13f32b5a75abdp-16384L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.ffe4p+12L : 0x3.5d13f32b5a75abd4p-16384L : inexact-ok
= exp2 downward ldbl-128 -0x3.ffe4p+12L : 0x3.5d13f32b5a75abd0e69a2ee640b4p-16384L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128 -0x3.ffe4p+12L : 0x3.5d13f32b5a75abd0e69a2ee640b4p-16384L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128 -0x3.ffe4p+12L : 0x3.5d13f32b5a75abd0e69a2ee640b4p-16384L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128 -0x3.ffe4p+12L : 0x3.5d13f32b5a75abd0e69a2ee640b8p-16384L : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-128ibm -0x3.ffe4p+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 tonearest ldbl-128ibm -0x3.ffe4p+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 towardzero ldbl-128ibm -0x3.ffe4p+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 upward ldbl-128ibm -0x3.ffe4p+12L : 0x4p-1076L : inexact-ok underflow errno-erange-ok
exp2 -16382.375
= exp2 downward flt-32 -0x3.ffe6p+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.ffe6p+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.ffe6p+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.ffe6p+12f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.ffe6p+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 tonearest dbl-64 -0x3.ffe6p+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 towardzero dbl-64 -0x3.ffe6p+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 upward dbl-64 -0x3.ffe6p+12 : 0x4p-1076 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.ffe6p+12L : 0x3.159ca845541b6b7p-16384L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-96-intel -0x3.ffe6p+12L : 0x3.159ca845541b6b78p-16384L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-96-intel -0x3.ffe6p+12L : 0x3.159ca845541b6b7p-16384L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-96-intel -0x3.ffe6p+12L : 0x3.159ca845541b6b78p-16384L : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-m68k -0x3.ffe6p+12L : 0x3.159ca845541b6b74p-16384L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.ffe6p+12L : 0x3.159ca845541b6b74p-16384L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.ffe6p+12L : 0x3.159ca845541b6b74p-16384L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.ffe6p+12L : 0x3.159ca845541b6b78p-16384L : inexact-ok
= exp2 downward ldbl-128 -0x3.ffe6p+12L : 0x3.159ca845541b6b74f8ab43259374p-16384L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128 -0x3.ffe6p+12L : 0x3.159ca845541b6b74f8ab43259378p-16384L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128 -0x3.ffe6p+12L : 0x3.159ca845541b6b74f8ab43259374p-16384L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128 -0x3.ffe6p+12L : 0x3.159ca845541b6b74f8ab43259378p-16384L : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-128ibm -0x3.ffe6p+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 tonearest ldbl-128ibm -0x3.ffe6p+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 towardzero ldbl-128ibm -0x3.ffe6p+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 upward ldbl-128ibm -0x3.ffe6p+12L : 0x4p-1076L : inexact-ok underflow errno-erange-ok
exp2 -16382.5
= exp2 downward flt-32 -0x3.ffe8p+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.ffe8p+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.ffe8p+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.ffe8p+12f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.ffe8p+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 tonearest dbl-64 -0x3.ffe8p+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 towardzero dbl-64 -0x3.ffe8p+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 upward dbl-64 -0x3.ffe8p+12 : 0x4p-1076 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.ffe8p+12L : 0x2.d413cccfe779921p-16384L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-96-intel -0x3.ffe8p+12L : 0x2.d413cccfe779921p-16384L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-96-intel -0x3.ffe8p+12L : 0x2.d413cccfe779921p-16384L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-96-intel -0x3.ffe8p+12L : 0x2.d413cccfe7799218p-16384L : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-m68k -0x3.ffe8p+12L : 0x2.d413cccfe779921p-16384L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.ffe8p+12L : 0x2.d413cccfe779921p-16384L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.ffe8p+12L : 0x2.d413cccfe779921p-16384L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.ffe8p+12L : 0x2.d413cccfe7799214p-16384L : inexact-ok
= exp2 downward ldbl-128 -0x3.ffe8p+12L : 0x2.d413cccfe779921165f626cdd528p-16384L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128 -0x3.ffe8p+12L : 0x2.d413cccfe779921165f626cdd52cp-16384L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128 -0x3.ffe8p+12L : 0x2.d413cccfe779921165f626cdd528p-16384L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128 -0x3.ffe8p+12L : 0x2.d413cccfe779921165f626cdd52cp-16384L : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-128ibm -0x3.ffe8p+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 tonearest ldbl-128ibm -0x3.ffe8p+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 towardzero ldbl-128ibm -0x3.ffe8p+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 upward ldbl-128ibm -0x3.ffe8p+12L : 0x4p-1076L : inexact-ok underflow errno-erange-ok
exp2 -16382.625
= exp2 downward flt-32 -0x3.ffeap+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.ffeap+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.ffeap+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.ffeap+12f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.ffeap+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 tonearest dbl-64 -0x3.ffeap+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 towardzero dbl-64 -0x3.ffeap+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 upward dbl-64 -0x3.ffeap+12 : 0x4p-1076 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.ffeap+12L : 0x2.97fb5aa6c544e3a8p-16384L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-96-intel -0x3.ffeap+12L : 0x2.97fb5aa6c544e3a8p-16384L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-96-intel -0x3.ffeap+12L : 0x2.97fb5aa6c544e3a8p-16384L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-96-intel -0x3.ffeap+12L : 0x2.97fb5aa6c544e3bp-16384L : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-m68k -0x3.ffeap+12L : 0x2.97fb5aa6c544e3a8p-16384L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.ffeap+12L : 0x2.97fb5aa6c544e3a8p-16384L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.ffeap+12L : 0x2.97fb5aa6c544e3a8p-16384L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.ffeap+12L : 0x2.97fb5aa6c544e3acp-16384L : inexact-ok
= exp2 downward ldbl-128 -0x3.ffeap+12L : 0x2.97fb5aa6c544e3a872f5fd885c4p-16384L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128 -0x3.ffeap+12L : 0x2.97fb5aa6c544e3a872f5fd885c4p-16384L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128 -0x3.ffeap+12L : 0x2.97fb5aa6c544e3a872f5fd885c4p-16384L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128 -0x3.ffeap+12L : 0x2.97fb5aa6c544e3a872f5fd885c44p-16384L : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-128ibm -0x3.ffeap+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 tonearest ldbl-128ibm -0x3.ffeap+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 towardzero ldbl-128ibm -0x3.ffeap+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 upward ldbl-128ibm -0x3.ffeap+12L : 0x4p-1076L : inexact-ok underflow errno-erange-ok
exp2 -16382.75
= exp2 downward flt-32 -0x3.ffecp+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.ffecp+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.ffecp+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.ffecp+12f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.ffecp+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 tonearest dbl-64 -0x3.ffecp+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 towardzero dbl-64 -0x3.ffecp+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 upward dbl-64 -0x3.ffecp+12 : 0x4p-1076 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.ffecp+12L : 0x2.60dfc14636e2a5b8p-16384L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-96-intel -0x3.ffecp+12L : 0x2.60dfc14636e2a5cp-16384L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-96-intel -0x3.ffecp+12L : 0x2.60dfc14636e2a5b8p-16384L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-96-intel -0x3.ffecp+12L : 0x2.60dfc14636e2a5cp-16384L : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-m68k -0x3.ffecp+12L : 0x2.60dfc14636e2a5bcp-16384L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.ffecp+12L : 0x2.60dfc14636e2a5bcp-16384L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.ffecp+12L : 0x2.60dfc14636e2a5bcp-16384L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.ffecp+12L : 0x2.60dfc14636e2a5cp-16384L : inexact-ok
= exp2 downward ldbl-128 -0x3.ffecp+12L : 0x2.60dfc14636e2a5bd1ab48c60b908p-16384L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128 -0x3.ffecp+12L : 0x2.60dfc14636e2a5bd1ab48c60b90cp-16384L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128 -0x3.ffecp+12L : 0x2.60dfc14636e2a5bd1ab48c60b908p-16384L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128 -0x3.ffecp+12L : 0x2.60dfc14636e2a5bd1ab48c60b90cp-16384L : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-128ibm -0x3.ffecp+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 tonearest ldbl-128ibm -0x3.ffecp+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 towardzero ldbl-128ibm -0x3.ffecp+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 upward ldbl-128ibm -0x3.ffecp+12L : 0x4p-1076L : inexact-ok underflow errno-erange-ok
exp2 -16382.875
= exp2 downward flt-32 -0x3.ffeep+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 tonearest flt-32 -0x3.ffeep+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 towardzero flt-32 -0x3.ffeep+12f : 0x0p+0f : inexact-ok underflow errno-erange
= exp2 upward flt-32 -0x3.ffeep+12f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= exp2 downward dbl-64 -0x3.ffeep+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 tonearest dbl-64 -0x3.ffeep+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 towardzero dbl-64 -0x3.ffeep+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp2 upward dbl-64 -0x3.ffeep+12 : 0x4p-1076 : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-intel -0x3.ffeep+12L : 0x2.2e57078faa2f5b98p-16384L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-96-intel -0x3.ffeep+12L : 0x2.2e57078faa2f5b98p-16384L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-96-intel -0x3.ffeep+12L : 0x2.2e57078faa2f5b98p-16384L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-96-intel -0x3.ffeep+12L : 0x2.2e57078faa2f5bap-16384L : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-96-m68k -0x3.ffeep+12L : 0x2.2e57078faa2f5b98p-16384L : inexact-ok
= exp2 tonearest ldbl-96-m68k -0x3.ffeep+12L : 0x2.2e57078faa2f5b9cp-16384L : inexact-ok
= exp2 towardzero ldbl-96-m68k -0x3.ffeep+12L : 0x2.2e57078faa2f5b98p-16384L : inexact-ok
= exp2 upward ldbl-96-m68k -0x3.ffeep+12L : 0x2.2e57078faa2f5b9cp-16384L : inexact-ok
= exp2 downward ldbl-128 -0x3.ffeep+12L : 0x2.2e57078faa2f5b9bef918a1d6294p-16384L : inexact-ok underflow errno-erange-ok
= exp2 tonearest ldbl-128 -0x3.ffeep+12L : 0x2.2e57078faa2f5b9bef918a1d6294p-16384L : inexact-ok underflow errno-erange-ok
= exp2 towardzero ldbl-128 -0x3.ffeep+12L : 0x2.2e57078faa2f5b9bef918a1d6294p-16384L : inexact-ok underflow errno-erange-ok
= exp2 upward ldbl-128 -0x3.ffeep+12L : 0x2.2e57078faa2f5b9bef918a1d6298p-16384L : inexact-ok underflow errno-erange-ok
= exp2 downward ldbl-128ibm -0x3.ffeep+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 tonearest ldbl-128ibm -0x3.ffeep+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 towardzero ldbl-128ibm -0x3.ffeep+12L : 0x0p+0L : inexact-ok underflow errno-erange
= exp2 upward ldbl-128ibm -0x3.ffeep+12L : 0x4p-1076L : inexact-ok underflow errno-erange-ok
exp2 0x1p-10
= exp2 downward flt-32 0x4p-12f : 0x1.002c6p+0f : inexact-ok
= exp2 tonearest flt-32 0x4p-12f : 0x1.002c6p+0f : inexact-ok

12
math/e_exp2l.c
View File

@ -38,9 +38,17 @@ __ieee754_exp2l (long double x)
{
int intx = (int) x;
long double fractx = x - intx;
long double result;
if (fabsl (fractx) < LDBL_EPSILON / 4.0L)
return __scalbnl (1.0L + fractx, intx);
return __scalbnl (__ieee754_expl (M_LN2l * fractx), intx);
result = __scalbnl (1.0L + fractx, intx);
else
result = __scalbnl (__ieee754_expl (M_LN2l * fractx), intx);
if (result < LDBL_MIN)
{
long double force_underflow = result * result;
math_force_eval (force_underflow);
}
return result;
}
else
{

34
sysdeps/i386/fpu/e_exp2.S
View File

@ -6,7 +6,24 @@
#include <machine/asm.h>
.section .rodata.cst8,"aM",@progbits,8
.p2align 3
.type dbl_min,@object
dbl_min: .byte 0, 0, 0, 0, 0, 0, 0x10, 0
ASM_SIZE_DIRECTIVE(dbl_min)
#ifdef PIC
# define MO(op) op##@GOTOFF(%ecx)
#else
# define MO(op) op
#endif
.text
ENTRY(__ieee754_exp2)
#ifdef PIC
LOAD_PIC_REG (cx)
#endif
fldl 4(%esp)
/* I added the following ugly construct because exp(+-Inf) resulted
in NaN. The ugliness results from the bright minds at Intel.
@ -27,7 +44,22 @@ ENTRY(__ieee754_exp2)
faddp /* 2^(fract(x)) */
fscale /* e^x */
fstp %st(1)
ret
fldl MO(dbl_min)
fld %st(1)
fucompp
fnstsw
sahf
jnc 3f
subl $8, %esp
cfi_adjust_cfa_offset (8)
fld %st(0)
fmul %st(0)
fstpl (%esp)
fstpl (%esp)
fldl (%esp)
addl $8, %esp
cfi_adjust_cfa_offset (-8)
3: ret
1: testl $0x200, %eax /* Test sign. */
jz 2f /* If positive, jump. */

34
sysdeps/i386/fpu/e_exp2f.S
View File

@ -6,7 +6,24 @@
#include <machine/asm.h>
.section .rodata.cst4,"aM",@progbits,4
.p2align 2
.type flt_min,@object
flt_min: .byte 0, 0, 0x80, 0
ASM_SIZE_DIRECTIVE(flt_min)
#ifdef PIC
# define MO(op) op##@GOTOFF(%ecx)
#else
# define MO(op) op
#endif
.text
ENTRY(__ieee754_exp2f)
#ifdef PIC
LOAD_PIC_REG (cx)
#endif
flds 4(%esp)
/* I added the following ugly construct because exp(+-Inf) resulted
in NaN. The ugliness results from the bright minds at Intel.
@ -27,7 +44,22 @@ ENTRY(__ieee754_exp2f)
faddp /* 2^(fract(x)) */
fscale /* e^x */
fstp %st(1)
ret
flds MO(flt_min)
fld %st(1)
fucompp
fnstsw
sahf
jnc 3f
subl $4, %esp
cfi_adjust_cfa_offset (4)
fld %st(0)
fmul %st(0)
fstps (%esp)
fstps (%esp)
flds (%esp)
addl $4, %esp
cfi_adjust_cfa_offset (-4)
3: ret
1: testl $0x200, %eax /* Test sign. */
jz 2f /* If positive, jump. */

29
sysdeps/i386/fpu/e_exp2l.S
View File

@ -6,7 +6,24 @@
#include <machine/asm.h>
.section .rodata.cst16,"aM",@progbits,16
.p2align 4
.type ldbl_min,@object
ldbl_min: .byte 0, 0, 0, 0, 0, 0, 0, 0x80, 0x1, 0
.byte 0, 0, 0, 0, 0, 0
ASM_SIZE_DIRECTIVE(ldbl_min)
#ifdef PIC
# define MO(op) op##@GOTOFF(%ecx)
#else
# define MO(op) op
#endif
.text
ENTRY(__ieee754_exp2l)
#ifdef PIC
LOAD_PIC_REG (cx)
#endif
fldt 4(%esp)
/* I added the following ugly construct because exp(+-Inf) resulted
in NaN. The ugliness results from the bright minds at Intel.
@ -35,7 +52,17 @@ ENTRY(__ieee754_exp2l)
faddp /* 2^(fract(x)) */
fscale /* e^x */
fstp %st(1)
ret
/* Ensure underflow for tiny result. */
fldt MO(ldbl_min)
fld %st(1)
fucompp
fnstsw
sahf
jnc 4f
fld %st
fmul %st
fstp %st
4: ret
1: testl $0x200, %eax /* Test sign. */
jz 2f /* If positive, jump. */

10
sysdeps/ieee754/dbl-64/e_exp2.c
View File

@ -120,7 +120,15 @@ __ieee754_exp2 (double x)
if (!unsafe)
return result;
else
return result * scale_u.d;
{
result *= scale_u.d;
if (result < DBL_MIN)
{
double force_underflow = result * result;
math_force_eval (force_underflow);
}
return result;
}
}
else
/* Return x, if x is a NaN or Inf; or overflow, otherwise. */

10
sysdeps/ieee754/flt-32/e_exp2f.c
View File

@ -109,7 +109,15 @@ __ieee754_exp2f (float x)
if (!unsafe)
return result;
else
return result * scale_u.f;
{
result *= scale_u.f;
if (result < FLT_MIN)
{
float force_underflow = result * result;
math_force_eval (force_underflow);
}
return result;
}
}
/* Exceptional cases: */
else if (isless (x, himark))

25
sysdeps/x86_64/fpu/e_exp2l.S
View File

@ -7,6 +7,20 @@
#include <machine/asm.h>
.section .rodata.cst16,"aM",@progbits,16
.p2align 4
.type ldbl_min,@object
ldbl_min: .byte 0, 0, 0, 0, 0, 0, 0, 0x80, 0x1, 0
.byte 0, 0, 0, 0, 0, 0
ASM_SIZE_DIRECTIVE(ldbl_min)
#ifdef PIC
# define MO(op) op##(%rip)
#else
# define MO(op) op
#endif
.text
ENTRY(__ieee754_exp2l)
fldt 8(%rsp)
/* I added the following ugly construct because exp(+-Inf) resulted
@ -36,7 +50,16 @@ ENTRY(__ieee754_exp2l)
faddp /* 2^(fract(x)) */
fscale /* e^x */
fstp %st(1)
ret
/* Ensure underflow for tiny result. */
fldt MO(ldbl_min)
fld %st(1)
fucomip %st(1), %st
fstp %st
jnc 4f
fld %st
fmul %st
fstp %st
4: ret
1: testl $0x200, %eax /* Test sign. */
jz 2f /* If positive, jump. */