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author | Joseph Myers <joseph@codesourcery.com> | 2015-09-14 22:00:12 +0000 |
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committer | Joseph Myers <joseph@codesourcery.com> | 2015-09-14 22:00:12 +0000 |
commit | 903af5af9a0404c1dfeb7b4db6d5a23a1e45593f (patch) | |
tree | 9f309a2cfd805ce474d22a80f869afb7829ef4cb | |
parent | ca6be1655bd357bf6ac8857fba9b9dce928edbdc (diff) | |
download | glibc-903af5af9a0404c1dfeb7b4db6d5a23a1e45593f.tar.gz glibc-903af5af9a0404c1dfeb7b4db6d5a23a1e45593f.tar.xz glibc-903af5af9a0404c1dfeb7b4db6d5a23a1e45593f.zip |
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.
-rw-r--r-- | ChangeLog | 25 | ||||
-rw-r--r-- | NEWS | 8 | ||||
-rw-r--r-- | math/auto-libm-test-in | 23 | ||||
-rw-r--r-- | math/auto-libm-test-out | 575 | ||||
-rw-r--r-- | math/e_exp2l.c | 12 | ||||
-rw-r--r-- | sysdeps/i386/fpu/e_exp2.S | 34 | ||||
-rw-r--r-- | sysdeps/i386/fpu/e_exp2f.S | 34 | ||||
-rw-r--r-- | sysdeps/i386/fpu/e_exp2l.S | 29 | ||||
-rw-r--r-- | sysdeps/ieee754/dbl-64/e_exp2.c | 10 | ||||
-rw-r--r-- | sysdeps/ieee754/flt-32/e_exp2f.c | 10 | ||||
-rw-r--r-- | sysdeps/x86_64/fpu/e_exp2l.S | 25 |
11 files changed, 773 insertions, 12 deletions
diff --git a/ChangeLog b/ChangeLog index 261f9440a6..3b372ccd53 100644 --- a/ChangeLog +++ b/ChangeLog @@ -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. diff --git a/NEWS b/NEWS index cf7fd5f211..0a37eddac7 100644 --- a/NEWS +++ b/NEWS @@ -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. diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in index 002a1fc852..15c91461e8 100644 --- a/math/auto-libm-test-in +++ b/math/auto-libm-test-in @@ -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 diff --git a/math/auto-libm-test-out b/math/auto-libm-test-out index 42fa83eca3..c007f24247 100644 --- a/math/auto-libm-test-out +++ b/math/auto-libm-test-out @@ -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 diff --git a/math/e_exp2l.c b/math/e_exp2l.c index 8db34ada53..b8cd158b88 100644 --- a/math/e_exp2l.c +++ b/math/e_exp2l.c @@ -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 { diff --git a/sysdeps/i386/fpu/e_exp2.S b/sysdeps/i386/fpu/e_exp2.S index f802cf8b98..b75a63a0b3 100644 --- a/sysdeps/i386/fpu/e_exp2.S +++ b/sysdeps/i386/fpu/e_exp2.S @@ -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. */ diff --git a/sysdeps/i386/fpu/e_exp2f.S b/sysdeps/i386/fpu/e_exp2f.S index f867d0d472..042c83b1ef 100644 --- a/sysdeps/i386/fpu/e_exp2f.S +++ b/sysdeps/i386/fpu/e_exp2f.S @@ -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. */ diff --git a/sysdeps/i386/fpu/e_exp2l.S b/sysdeps/i386/fpu/e_exp2l.S index 2bf9a25727..9a5ff95a6c 100644 --- a/sysdeps/i386/fpu/e_exp2l.S +++ b/sysdeps/i386/fpu/e_exp2l.S @@ -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. */ diff --git a/sysdeps/ieee754/dbl-64/e_exp2.c b/sysdeps/ieee754/dbl-64/e_exp2.c index 30f0a8f529..01df62150d 100644 --- a/sysdeps/ieee754/dbl-64/e_exp2.c +++ b/sysdeps/ieee754/dbl-64/e_exp2.c @@ -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. */ diff --git a/sysdeps/ieee754/flt-32/e_exp2f.c b/sysdeps/ieee754/flt-32/e_exp2f.c index 0b75a7ea2a..bc62042966 100644 --- a/sysdeps/ieee754/flt-32/e_exp2f.c +++ b/sysdeps/ieee754/flt-32/e_exp2f.c @@ -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)) diff --git a/sysdeps/x86_64/fpu/e_exp2l.S b/sysdeps/x86_64/fpu/e_exp2l.S index 7d42a932db..d634ad38f8 100644 --- a/sysdeps/x86_64/fpu/e_exp2l.S +++ b/sysdeps/x86_64/fpu/e_exp2l.S @@ -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. */ |