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author | Joseph Myers <joseph@codesourcery.com> | 2014-03-27 18:41:14 +0000 |
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committer | Joseph Myers <joseph@codesourcery.com> | 2014-03-27 18:41:14 +0000 |
commit | 03a7091fa2afc84e215fc99fceca52baa4b0f8f1 (patch) | |
tree | c7be03c2bfe3c2509ed74f3cb8581ab1d08e5dab /math | |
parent | dd3022d75e6fb8957843d6d84257a5d8457822d5 (diff) | |
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Fix x86/x86_64 expl/exp10l spurious underflows (bug 16348).
This patch fixes bug 16348, spurious underflows from x86/x86_64 expl
on arguments close to 0. These implementations effectively use expm1
(on the fractional part of the argument) internally, so resulting in
spurious underflows when the result is very close to 1. For arguments
small enough that the round-to-nearest correct result is 1, this patch
uses 1+x instead.
These implementations are also used for exp10l and so the patch fixes
similar issues there (the 0x1p-67 threshold being small enough to be
correct for exp10l as well as expl). But because of spurious
underflows in other exp10 implementations (bug 16560), the tests
aren't added for exp10 at this point - they can be added when the
other exp10 parts of that bug are fixed.
Tested x86_64 and x86; no ulps updates needed.
[BZ #16348]
* sysdeps/i386/fpu/e_expl.S (IEEE754_EXPL) [!USE_AS_EXPM1L]: Use
1+x for argument with exponent below -67.
* sysdeps/x86_64/fpu/e_expl.S (IEEE754_EXPL) [!USE_AS_EXPM1L]:
Likewise.
* math/auto-libm-test-in: Add more tests of exp.
* math/auto-libm-test-out: Regenerated.
Diffstat (limited to 'math')
-rw-r--r-- | math/auto-libm-test-in | 18 | ||||
-rw-r--r-- | math/auto-libm-test-out | 666 |
2 files changed, 684 insertions, 0 deletions
diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in index 7c80192ccd..7ad407c238 100644 --- a/math/auto-libm-test-in +++ b/math/auto-libm-test-in @@ -843,6 +843,24 @@ exp -7.4444006192138124e+02 exp -0x1.75f113c30b1c8p+9 exp -max exp -11342.8125 +exp 0x1p-10 +exp -0x1p-10 +exp 0x1p-20 +exp -0x1p-20 +exp 0x1p-30 +exp -0x1p-30 +exp 0x1p-40 +exp -0x1p-40 +exp 0x1p-50 +exp -0x1p-50 +exp 0x1p-60 +exp -0x1p-60 +exp 0x1p-100 +exp -0x1p-100 +exp min +exp -min +exp min_subnorm +exp -min_subnorm exp10 0 exp10 -0 diff --git a/math/auto-libm-test-out b/math/auto-libm-test-out index 1dadc38c6c..64dc911e97 100644 --- a/math/auto-libm-test-out +++ b/math/auto-libm-test-out @@ -89391,6 +89391,672 @@ exp -11342.8125 = exp tonearest ldbl-128ibm -0x2.c4edp+12L : 0x0p+0L : inexact-ok underflow errno-erange = exp towardzero ldbl-128ibm -0x2.c4edp+12L : 0x0p+0L : inexact-ok underflow errno-erange = exp upward ldbl-128ibm -0x2.c4edp+12L : 0x4p-1076L : inexact-ok underflow errno-erange-ok +exp 0x1p-10 += exp downward flt-32 0x4p-12f : 0x1.004008p+0f : inexact-ok += exp tonearest flt-32 0x4p-12f : 0x1.004008p+0f : inexact-ok += exp towardzero flt-32 0x4p-12f : 0x1.004008p+0f : inexact-ok += exp upward flt-32 0x4p-12f : 0x1.00400ap+0f : inexact-ok += exp downward dbl-64 0x4p-12 : 0x1.00400800aab55p+0 : inexact-ok += exp tonearest dbl-64 0x4p-12 : 0x1.00400800aab55p+0 : inexact-ok += exp towardzero dbl-64 0x4p-12 : 0x1.00400800aab55p+0 : inexact-ok += exp upward dbl-64 0x4p-12 : 0x1.00400800aab56p+0 : inexact-ok += exp downward ldbl-96-intel 0x4p-12L : 0x1.00400800aab555dcp+0L : inexact-ok += exp tonearest ldbl-96-intel 0x4p-12L : 0x1.00400800aab555dep+0L : inexact-ok += exp towardzero ldbl-96-intel 0x4p-12L : 0x1.00400800aab555dcp+0L : inexact-ok += exp upward ldbl-96-intel 0x4p-12L : 0x1.00400800aab555dep+0L : inexact-ok += exp downward ldbl-96-m68k 0x4p-12L : 0x1.00400800aab555dcp+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x4p-12L : 0x1.00400800aab555dep+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x4p-12L : 0x1.00400800aab555dcp+0L : inexact-ok += exp upward ldbl-96-m68k 0x4p-12L : 0x1.00400800aab555dep+0L : inexact-ok += exp downward ldbl-128 0x4p-12L : 0x1.00400800aab555dde38e6ce86e92p+0L : inexact-ok += exp tonearest ldbl-128 0x4p-12L : 0x1.00400800aab555dde38e6ce86e92p+0L : inexact-ok += exp towardzero ldbl-128 0x4p-12L : 0x1.00400800aab555dde38e6ce86e92p+0L : inexact-ok += exp upward ldbl-128 0x4p-12L : 0x1.00400800aab555dde38e6ce86e93p+0L : inexact-ok += exp downward ldbl-128ibm 0x4p-12L : 0x1.00400800aab555dde38e6ce86e8p+0L : inexact-ok += exp tonearest ldbl-128ibm 0x4p-12L : 0x1.00400800aab555dde38e6ce86e8p+0L : inexact-ok += exp towardzero ldbl-128ibm 0x4p-12L : 0x1.00400800aab555dde38e6ce86e8p+0L : inexact-ok += exp upward ldbl-128ibm 0x4p-12L : 0x1.00400800aab555dde38e6ce86fp+0L : inexact-ok +exp -0x1p-10 += exp downward flt-32 -0x4p-12f : 0xf.fc007p-4f : inexact-ok += exp tonearest flt-32 -0x4p-12f : 0xf.fc008p-4f : inexact-ok += exp towardzero flt-32 -0x4p-12f : 0xf.fc007p-4f : inexact-ok += exp upward flt-32 -0x4p-12f : 0xf.fc008p-4f : inexact-ok += exp downward dbl-64 -0x4p-12 : 0xf.fc007ff555ff8p-4 : inexact-ok += exp tonearest dbl-64 -0x4p-12 : 0xf.fc007ff556p-4 : inexact-ok += exp towardzero dbl-64 -0x4p-12 : 0xf.fc007ff555ff8p-4 : inexact-ok += exp upward dbl-64 -0x4p-12 : 0xf.fc007ff556p-4 : inexact-ok += exp downward ldbl-96-intel -0x4p-12L : 0xf.fc007ff555fff77p-4L : inexact-ok += exp tonearest ldbl-96-intel -0x4p-12L : 0xf.fc007ff555fff77p-4L : inexact-ok += exp towardzero ldbl-96-intel -0x4p-12L : 0xf.fc007ff555fff77p-4L : inexact-ok += exp upward ldbl-96-intel -0x4p-12L : 0xf.fc007ff555fff78p-4L : inexact-ok += exp downward ldbl-96-m68k -0x4p-12L : 0xf.fc007ff555fff77p-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x4p-12L : 0xf.fc007ff555fff77p-4L : inexact-ok += exp towardzero ldbl-96-m68k -0x4p-12L : 0xf.fc007ff555fff77p-4L : inexact-ok += exp upward ldbl-96-m68k -0x4p-12L : 0xf.fc007ff555fff78p-4L : inexact-ok += exp downward ldbl-128 -0x4p-12L : 0xf.fc007ff555fff777d279e7b87ac8p-4L : inexact-ok += exp tonearest ldbl-128 -0x4p-12L : 0xf.fc007ff555fff777d279e7b87adp-4L : inexact-ok += exp towardzero ldbl-128 -0x4p-12L : 0xf.fc007ff555fff777d279e7b87ac8p-4L : inexact-ok += exp upward ldbl-128 -0x4p-12L : 0xf.fc007ff555fff777d279e7b87adp-4L : inexact-ok += exp downward ldbl-128ibm -0x4p-12L : 0xf.fc007ff555fff777d279e7b878p-4L : inexact-ok += exp tonearest ldbl-128ibm -0x4p-12L : 0xf.fc007ff555fff777d279e7b87cp-4L : inexact-ok += exp towardzero ldbl-128ibm -0x4p-12L : 0xf.fc007ff555fff777d279e7b878p-4L : inexact-ok += exp upward ldbl-128ibm -0x4p-12L : 0xf.fc007ff555fff777d279e7b87cp-4L : inexact-ok +exp 0x1p-20 += exp downward flt-32 0x1p-20f : 0x1.00001p+0f : inexact-ok += exp tonearest flt-32 0x1p-20f : 0x1.00001p+0f : inexact-ok += exp towardzero flt-32 0x1p-20f : 0x1.00001p+0f : inexact-ok += exp upward flt-32 0x1p-20f : 0x1.000012p+0f : inexact-ok += exp downward dbl-64 0x1p-20 : 0x1.00001000008p+0 : inexact-ok += exp tonearest dbl-64 0x1p-20 : 0x1.00001000008p+0 : inexact-ok += exp towardzero dbl-64 0x1p-20 : 0x1.00001000008p+0 : inexact-ok += exp upward dbl-64 0x1p-20 : 0x1.0000100000801p+0 : inexact-ok += exp downward ldbl-96-intel 0x1p-20L : 0x1.0000100000800002p+0L : inexact-ok += exp tonearest ldbl-96-intel 0x1p-20L : 0x1.0000100000800002p+0L : inexact-ok += exp towardzero ldbl-96-intel 0x1p-20L : 0x1.0000100000800002p+0L : inexact-ok += exp upward ldbl-96-intel 0x1p-20L : 0x1.0000100000800004p+0L : inexact-ok += exp downward ldbl-96-m68k 0x1p-20L : 0x1.0000100000800002p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x1p-20L : 0x1.0000100000800002p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x1p-20L : 0x1.0000100000800002p+0L : inexact-ok += exp upward ldbl-96-m68k 0x1p-20L : 0x1.0000100000800004p+0L : inexact-ok += exp downward ldbl-128 0x1p-20L : 0x1.0000100000800002aaaab5555577p+0L : inexact-ok += exp tonearest ldbl-128 0x1p-20L : 0x1.0000100000800002aaaab5555577p+0L : inexact-ok += exp towardzero ldbl-128 0x1p-20L : 0x1.0000100000800002aaaab5555577p+0L : inexact-ok += exp upward ldbl-128 0x1p-20L : 0x1.0000100000800002aaaab5555578p+0L : inexact-ok += exp downward ldbl-128ibm 0x1p-20L : 0x1.0000100000800002aaaab55555p+0L : inexact-ok += exp tonearest ldbl-128ibm 0x1p-20L : 0x1.0000100000800002aaaab555558p+0L : inexact-ok += exp towardzero ldbl-128ibm 0x1p-20L : 0x1.0000100000800002aaaab55555p+0L : inexact-ok += exp upward ldbl-128ibm 0x1p-20L : 0x1.0000100000800002aaaab555558p+0L : inexact-ok +exp -0x1p-20 += exp downward flt-32 -0x1p-20f : 0xf.ffffp-4f : inexact-ok += exp tonearest flt-32 -0x1p-20f : 0xf.ffffp-4f : inexact-ok += exp towardzero flt-32 -0x1p-20f : 0xf.ffffp-4f : inexact-ok += exp upward flt-32 -0x1p-20f : 0xf.ffff1p-4f : inexact-ok += exp downward dbl-64 -0x1p-20 : 0xf.ffff000007ff8p-4 : inexact-ok += exp tonearest dbl-64 -0x1p-20 : 0xf.ffff000008p-4 : inexact-ok += exp towardzero dbl-64 -0x1p-20 : 0xf.ffff000007ff8p-4 : inexact-ok += exp upward dbl-64 -0x1p-20 : 0xf.ffff000008p-4 : inexact-ok += exp downward ldbl-96-intel -0x1p-20L : 0xf.ffff000007ffffdp-4L : inexact-ok += exp tonearest ldbl-96-intel -0x1p-20L : 0xf.ffff000007ffffdp-4L : inexact-ok += exp towardzero ldbl-96-intel -0x1p-20L : 0xf.ffff000007ffffdp-4L : inexact-ok += exp upward ldbl-96-intel -0x1p-20L : 0xf.ffff000007ffffep-4L : inexact-ok += exp downward ldbl-96-m68k -0x1p-20L : 0xf.ffff000007ffffdp-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x1p-20L : 0xf.ffff000007ffffdp-4L : inexact-ok += exp towardzero ldbl-96-m68k -0x1p-20L : 0xf.ffff000007ffffdp-4L : inexact-ok += exp upward ldbl-96-m68k -0x1p-20L : 0xf.ffff000007ffffep-4L : inexact-ok += exp downward ldbl-128 -0x1p-20L : 0xf.ffff000007ffffd55555fffffdd8p-4L : inexact-ok += exp tonearest ldbl-128 -0x1p-20L : 0xf.ffff000007ffffd55555fffffdep-4L : inexact-ok += exp towardzero ldbl-128 -0x1p-20L : 0xf.ffff000007ffffd55555fffffdd8p-4L : inexact-ok += exp upward ldbl-128 -0x1p-20L : 0xf.ffff000007ffffd55555fffffdep-4L : inexact-ok += exp downward ldbl-128ibm -0x1p-20L : 0xf.ffff000007ffffd55555fffffcp-4L : inexact-ok += exp tonearest ldbl-128ibm -0x1p-20L : 0xf.ffff000007ffffd55555fffffcp-4L : inexact-ok += exp towardzero ldbl-128ibm -0x1p-20L : 0xf.ffff000007ffffd55555fffffcp-4L : inexact-ok += exp upward ldbl-128ibm -0x1p-20L : 0xf.ffff000007ffffd55556p-4L : inexact-ok +exp 0x1p-30 += exp downward flt-32 0x4p-32f : 0x1p+0f : inexact-ok += exp tonearest flt-32 0x4p-32f : 0x1p+0f : inexact-ok += exp towardzero flt-32 0x4p-32f : 0x1p+0f : inexact-ok += exp upward flt-32 0x4p-32f : 0x1.000002p+0f : inexact-ok += exp downward dbl-64 0x4p-32 : 0x1.00000004p+0 : inexact-ok += exp tonearest dbl-64 0x4p-32 : 0x1.00000004p+0 : inexact-ok += exp towardzero dbl-64 0x4p-32 : 0x1.00000004p+0 : inexact-ok += exp upward dbl-64 0x4p-32 : 0x1.0000000400001p+0 : inexact-ok += exp downward ldbl-96-intel 0x4p-32L : 0x1.0000000400000008p+0L : inexact-ok += exp tonearest ldbl-96-intel 0x4p-32L : 0x1.0000000400000008p+0L : inexact-ok += exp towardzero ldbl-96-intel 0x4p-32L : 0x1.0000000400000008p+0L : inexact-ok += exp upward ldbl-96-intel 0x4p-32L : 0x1.000000040000000ap+0L : inexact-ok += exp downward ldbl-96-m68k 0x4p-32L : 0x1.0000000400000008p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x4p-32L : 0x1.0000000400000008p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x4p-32L : 0x1.0000000400000008p+0L : inexact-ok += exp upward ldbl-96-m68k 0x4p-32L : 0x1.000000040000000ap+0L : inexact-ok += exp downward ldbl-128 0x4p-32L : 0x1.00000004000000080000000aaaaap+0L : inexact-ok += exp tonearest ldbl-128 0x4p-32L : 0x1.00000004000000080000000aaaabp+0L : inexact-ok += exp towardzero ldbl-128 0x4p-32L : 0x1.00000004000000080000000aaaaap+0L : inexact-ok += exp upward ldbl-128 0x4p-32L : 0x1.00000004000000080000000aaaabp+0L : inexact-ok += exp downward ldbl-128ibm 0x4p-32L : 0x1.00000004000000080000000aaa8p+0L : inexact-ok += exp tonearest ldbl-128ibm 0x4p-32L : 0x1.00000004000000080000000aaa8p+0L : inexact-ok += exp towardzero ldbl-128ibm 0x4p-32L : 0x1.00000004000000080000000aaa8p+0L : inexact-ok += exp upward ldbl-128ibm 0x4p-32L : 0x1.00000004000000080000000aabp+0L : inexact-ok +exp -0x1p-30 += exp downward flt-32 -0x4p-32f : 0xf.fffffp-4f : inexact-ok += exp tonearest flt-32 -0x4p-32f : 0x1p+0f : inexact-ok += exp towardzero flt-32 -0x4p-32f : 0xf.fffffp-4f : inexact-ok += exp upward flt-32 -0x4p-32f : 0x1p+0f : inexact-ok += exp downward dbl-64 -0x4p-32 : 0xf.ffffffcp-4 : inexact-ok += exp tonearest dbl-64 -0x4p-32 : 0xf.ffffffcp-4 : inexact-ok += exp towardzero dbl-64 -0x4p-32 : 0xf.ffffffcp-4 : inexact-ok += exp upward dbl-64 -0x4p-32 : 0xf.ffffffc000008p-4 : inexact-ok += exp downward ldbl-96-intel -0x4p-32L : 0xf.ffffffc00000007p-4L : inexact-ok += exp tonearest ldbl-96-intel -0x4p-32L : 0xf.ffffffc00000008p-4L : inexact-ok += exp towardzero ldbl-96-intel -0x4p-32L : 0xf.ffffffc00000007p-4L : inexact-ok += exp upward ldbl-96-intel -0x4p-32L : 0xf.ffffffc00000008p-4L : inexact-ok += exp downward ldbl-96-m68k -0x4p-32L : 0xf.ffffffc00000007p-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x4p-32L : 0xf.ffffffc00000008p-4L : inexact-ok += exp towardzero ldbl-96-m68k -0x4p-32L : 0xf.ffffffc00000007p-4L : inexact-ok += exp upward ldbl-96-m68k -0x4p-32L : 0xf.ffffffc00000008p-4L : inexact-ok += exp downward ldbl-128 -0x4p-32L : 0xf.ffffffc00000007fffffff55555p-4L : inexact-ok += exp tonearest ldbl-128 -0x4p-32L : 0xf.ffffffc00000007fffffff555558p-4L : inexact-ok += exp towardzero ldbl-128 -0x4p-32L : 0xf.ffffffc00000007fffffff55555p-4L : inexact-ok += exp upward ldbl-128 -0x4p-32L : 0xf.ffffffc00000007fffffff555558p-4L : inexact-ok += exp downward ldbl-128ibm -0x4p-32L : 0xf.ffffffc00000007fffffff5554p-4L : inexact-ok += exp tonearest ldbl-128ibm -0x4p-32L : 0xf.ffffffc00000007fffffff5554p-4L : inexact-ok += exp towardzero ldbl-128ibm -0x4p-32L : 0xf.ffffffc00000007fffffff5554p-4L : inexact-ok += exp upward ldbl-128ibm -0x4p-32L : 0xf.ffffffc00000007fffffff5558p-4L : inexact-ok +exp 0x1p-40 += exp downward flt-32 0x1p-40f : 0x1p+0f : inexact-ok += exp tonearest flt-32 0x1p-40f : 0x1p+0f : inexact-ok += exp towardzero flt-32 0x1p-40f : 0x1p+0f : inexact-ok += exp upward flt-32 0x1p-40f : 0x1.000002p+0f : inexact-ok += exp downward dbl-64 0x1p-40 : 0x1.0000000001p+0 : inexact-ok += exp tonearest dbl-64 0x1p-40 : 0x1.0000000001p+0 : inexact-ok += exp towardzero dbl-64 0x1p-40 : 0x1.0000000001p+0 : inexact-ok += exp upward dbl-64 0x1p-40 : 0x1.0000000001001p+0 : inexact-ok += exp downward ldbl-96-intel 0x1p-40L : 0x1.0000000001p+0L : inexact-ok += exp tonearest ldbl-96-intel 0x1p-40L : 0x1.0000000001p+0L : inexact-ok += exp towardzero ldbl-96-intel 0x1p-40L : 0x1.0000000001p+0L : inexact-ok += exp upward ldbl-96-intel 0x1p-40L : 0x1.0000000001000002p+0L : inexact-ok += exp downward ldbl-96-m68k 0x1p-40L : 0x1.0000000001p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x1p-40L : 0x1.0000000001p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x1p-40L : 0x1.0000000001p+0L : inexact-ok += exp upward ldbl-96-m68k 0x1p-40L : 0x1.0000000001000002p+0L : inexact-ok += exp downward ldbl-128 0x1p-40L : 0x1.000000000100000000008p+0L : inexact-ok += exp tonearest ldbl-128 0x1p-40L : 0x1.000000000100000000008p+0L : inexact-ok += exp towardzero ldbl-128 0x1p-40L : 0x1.000000000100000000008p+0L : inexact-ok += exp upward ldbl-128 0x1p-40L : 0x1.0000000001000000000080000001p+0L : inexact-ok += exp downward ldbl-128ibm 0x1p-40L : 0x1.000000000100000000008p+0L : inexact-ok += exp tonearest ldbl-128ibm 0x1p-40L : 0x1.000000000100000000008p+0L : inexact-ok += exp towardzero ldbl-128ibm 0x1p-40L : 0x1.000000000100000000008p+0L : inexact-ok += exp upward ldbl-128ibm 0x1p-40L : 0x1.000000000100000000008000008p+0L : inexact-ok +exp -0x1p-40 += exp downward flt-32 -0x1p-40f : 0xf.fffffp-4f : inexact-ok += exp tonearest flt-32 -0x1p-40f : 0x1p+0f : inexact-ok += exp towardzero flt-32 -0x1p-40f : 0xf.fffffp-4f : inexact-ok += exp upward flt-32 -0x1p-40f : 0x1p+0f : inexact-ok += exp downward dbl-64 -0x1p-40 : 0xf.fffffffffp-4 : inexact-ok += exp tonearest dbl-64 -0x1p-40 : 0xf.fffffffffp-4 : inexact-ok += exp towardzero dbl-64 -0x1p-40 : 0xf.fffffffffp-4 : inexact-ok += exp upward dbl-64 -0x1p-40 : 0xf.fffffffff0008p-4 : inexact-ok += exp downward ldbl-96-intel -0x1p-40L : 0xf.fffffffffp-4L : inexact-ok += exp tonearest ldbl-96-intel -0x1p-40L : 0xf.fffffffffp-4L : inexact-ok += exp towardzero ldbl-96-intel -0x1p-40L : 0xf.fffffffffp-4L : inexact-ok += exp upward ldbl-96-intel -0x1p-40L : 0xf.fffffffff000001p-4L : inexact-ok += exp downward ldbl-96-m68k -0x1p-40L : 0xf.fffffffffp-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x1p-40L : 0xf.fffffffffp-4L : inexact-ok += exp towardzero ldbl-96-m68k -0x1p-40L : 0xf.fffffffffp-4L : inexact-ok += exp upward ldbl-96-m68k -0x1p-40L : 0xf.fffffffff000001p-4L : inexact-ok += exp downward ldbl-128 -0x1p-40L : 0xf.fffffffff00000000007fffffff8p-4L : inexact-ok += exp tonearest ldbl-128 -0x1p-40L : 0xf.fffffffff00000000008p-4L : inexact-ok += exp towardzero ldbl-128 -0x1p-40L : 0xf.fffffffff00000000007fffffff8p-4L : inexact-ok += exp upward ldbl-128 -0x1p-40L : 0xf.fffffffff00000000008p-4L : inexact-ok += exp downward ldbl-128ibm -0x1p-40L : 0xf.fffffffff00000000007fffffcp-4L : inexact-ok += exp tonearest ldbl-128ibm -0x1p-40L : 0xf.fffffffff00000000008p-4L : inexact-ok += exp towardzero ldbl-128ibm -0x1p-40L : 0xf.fffffffff00000000007fffffcp-4L : inexact-ok += exp upward ldbl-128ibm -0x1p-40L : 0xf.fffffffff00000000008p-4L : inexact-ok +exp 0x1p-50 += exp downward flt-32 0x4p-52f : 0x1p+0f : inexact-ok += exp tonearest flt-32 0x4p-52f : 0x1p+0f : inexact-ok += exp towardzero flt-32 0x4p-52f : 0x1p+0f : inexact-ok += exp upward flt-32 0x4p-52f : 0x1.000002p+0f : inexact-ok += exp downward dbl-64 0x4p-52 : 0x1.0000000000004p+0 : inexact-ok += exp tonearest dbl-64 0x4p-52 : 0x1.0000000000004p+0 : inexact-ok += exp towardzero dbl-64 0x4p-52 : 0x1.0000000000004p+0 : inexact-ok += exp upward dbl-64 0x4p-52 : 0x1.0000000000005p+0 : inexact-ok += exp downward ldbl-96-intel 0x4p-52L : 0x1.0000000000004p+0L : inexact-ok += exp tonearest ldbl-96-intel 0x4p-52L : 0x1.0000000000004p+0L : inexact-ok += exp towardzero ldbl-96-intel 0x4p-52L : 0x1.0000000000004p+0L : inexact-ok += exp upward ldbl-96-intel 0x4p-52L : 0x1.0000000000004002p+0L : inexact-ok += exp downward ldbl-96-m68k 0x4p-52L : 0x1.0000000000004p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x4p-52L : 0x1.0000000000004p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x4p-52L : 0x1.0000000000004p+0L : inexact-ok += exp upward ldbl-96-m68k 0x4p-52L : 0x1.0000000000004002p+0L : inexact-ok += exp downward ldbl-128 0x4p-52L : 0x1.00000000000040000000000008p+0L : inexact-ok += exp tonearest ldbl-128 0x4p-52L : 0x1.00000000000040000000000008p+0L : inexact-ok += exp towardzero ldbl-128 0x4p-52L : 0x1.00000000000040000000000008p+0L : inexact-ok += exp upward ldbl-128 0x4p-52L : 0x1.0000000000004000000000000801p+0L : inexact-ok += exp downward ldbl-128ibm 0x4p-52L : 0x1.00000000000040000000000008p+0L : inexact-ok += exp tonearest ldbl-128ibm 0x4p-52L : 0x1.00000000000040000000000008p+0L : inexact-ok += exp towardzero ldbl-128ibm 0x4p-52L : 0x1.00000000000040000000000008p+0L : inexact-ok += exp upward ldbl-128ibm 0x4p-52L : 0x1.000000000000400000000000088p+0L : inexact-ok +exp -0x1p-50 += exp downward flt-32 -0x4p-52f : 0xf.fffffp-4f : inexact-ok += exp tonearest flt-32 -0x4p-52f : 0x1p+0f : inexact-ok += exp towardzero flt-32 -0x4p-52f : 0xf.fffffp-4f : inexact-ok += exp upward flt-32 -0x4p-52f : 0x1p+0f : inexact-ok += exp downward dbl-64 -0x4p-52 : 0xf.fffffffffffcp-4 : inexact-ok += exp tonearest dbl-64 -0x4p-52 : 0xf.fffffffffffcp-4 : inexact-ok += exp towardzero dbl-64 -0x4p-52 : 0xf.fffffffffffcp-4 : inexact-ok += exp upward dbl-64 -0x4p-52 : 0xf.fffffffffffc8p-4 : inexact-ok += exp downward ldbl-96-intel -0x4p-52L : 0xf.fffffffffffcp-4L : inexact-ok += exp tonearest ldbl-96-intel -0x4p-52L : 0xf.fffffffffffcp-4L : inexact-ok += exp towardzero ldbl-96-intel -0x4p-52L : 0xf.fffffffffffcp-4L : inexact-ok += exp upward ldbl-96-intel -0x4p-52L : 0xf.fffffffffffc001p-4L : inexact-ok += exp downward ldbl-96-m68k -0x4p-52L : 0xf.fffffffffffcp-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x4p-52L : 0xf.fffffffffffcp-4L : inexact-ok += exp towardzero ldbl-96-m68k -0x4p-52L : 0xf.fffffffffffcp-4L : inexact-ok += exp upward ldbl-96-m68k -0x4p-52L : 0xf.fffffffffffc001p-4L : inexact-ok += exp downward ldbl-128 -0x4p-52L : 0xf.fffffffffffc0000000000007ff8p-4L : inexact-ok += exp tonearest ldbl-128 -0x4p-52L : 0xf.fffffffffffc0000000000008p-4L : inexact-ok += exp towardzero ldbl-128 -0x4p-52L : 0xf.fffffffffffc0000000000007ff8p-4L : inexact-ok += exp upward ldbl-128 -0x4p-52L : 0xf.fffffffffffc0000000000008p-4L : inexact-ok += exp downward ldbl-128ibm -0x4p-52L : 0xf.fffffffffffc0000000000007cp-4L : inexact-ok += exp tonearest ldbl-128ibm -0x4p-52L : 0xf.fffffffffffc0000000000008p-4L : inexact-ok += exp towardzero ldbl-128ibm -0x4p-52L : 0xf.fffffffffffc0000000000007cp-4L : inexact-ok += exp upward ldbl-128ibm -0x4p-52L : 0xf.fffffffffffc0000000000008p-4L : inexact-ok +exp 0x1p-60 += exp downward flt-32 0x1p-60f : 0x1p+0f : inexact-ok += exp tonearest flt-32 0x1p-60f : 0x1p+0f : inexact-ok += exp towardzero flt-32 0x1p-60f : 0x1p+0f : inexact-ok += exp upward flt-32 0x1p-60f : 0x1.000002p+0f : inexact-ok += exp downward dbl-64 0x1p-60 : 0x1p+0 : inexact-ok += exp tonearest dbl-64 0x1p-60 : 0x1p+0 : inexact-ok += exp towardzero dbl-64 0x1p-60 : 0x1p+0 : inexact-ok += exp upward dbl-64 0x1p-60 : 0x1.0000000000001p+0 : inexact-ok += exp downward ldbl-96-intel 0x1p-60L : 0x1.000000000000001p+0L : inexact-ok += exp tonearest ldbl-96-intel 0x1p-60L : 0x1.000000000000001p+0L : inexact-ok += exp towardzero ldbl-96-intel 0x1p-60L : 0x1.000000000000001p+0L : inexact-ok += exp upward ldbl-96-intel 0x1p-60L : 0x1.0000000000000012p+0L : inexact-ok += exp downward ldbl-96-m68k 0x1p-60L : 0x1.000000000000001p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x1p-60L : 0x1.000000000000001p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x1p-60L : 0x1.000000000000001p+0L : inexact-ok += exp upward ldbl-96-m68k 0x1p-60L : 0x1.0000000000000012p+0L : inexact-ok += exp downward ldbl-128 0x1p-60L : 0x1.000000000000001p+0L : inexact-ok += exp tonearest ldbl-128 0x1p-60L : 0x1.000000000000001p+0L : inexact-ok += exp towardzero ldbl-128 0x1p-60L : 0x1.000000000000001p+0L : inexact-ok += exp upward ldbl-128 0x1p-60L : 0x1.0000000000000010000000000001p+0L : inexact-ok += exp downward ldbl-128ibm 0x1p-60L : 0x1.000000000000001p+0L : inexact-ok += exp tonearest ldbl-128ibm 0x1p-60L : 0x1.000000000000001p+0L : inexact-ok += exp towardzero ldbl-128ibm 0x1p-60L : 0x1.000000000000001p+0L : inexact-ok += exp upward ldbl-128ibm 0x1p-60L : 0x1.000000000000001000000000008p+0L : inexact-ok +exp -0x1p-60 += exp downward flt-32 -0x1p-60f : 0xf.fffffp-4f : inexact-ok += exp tonearest flt-32 -0x1p-60f : 0x1p+0f : inexact-ok += exp towardzero flt-32 -0x1p-60f : 0xf.fffffp-4f : inexact-ok += exp upward flt-32 -0x1p-60f : 0x1p+0f : inexact-ok += exp downward dbl-64 -0x1p-60 : 0xf.ffffffffffff8p-4 : inexact-ok += exp tonearest dbl-64 -0x1p-60 : 0x1p+0 : inexact-ok += exp towardzero dbl-64 -0x1p-60 : 0xf.ffffffffffff8p-4 : inexact-ok += exp upward dbl-64 -0x1p-60 : 0x1p+0 : inexact-ok += exp downward ldbl-96-intel -0x1p-60L : 0xf.ffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-intel -0x1p-60L : 0xf.ffffffffffffffp-4L : inexact-ok += exp towardzero ldbl-96-intel -0x1p-60L : 0xf.ffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-intel -0x1p-60L : 0xf.ffffffffffffff1p-4L : inexact-ok += exp downward ldbl-96-m68k -0x1p-60L : 0xf.ffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x1p-60L : 0xf.ffffffffffffffp-4L : inexact-ok += exp towardzero ldbl-96-m68k -0x1p-60L : 0xf.ffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-m68k -0x1p-60L : 0xf.ffffffffffffff1p-4L : inexact-ok += exp downward ldbl-128 -0x1p-60L : 0xf.ffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-128 -0x1p-60L : 0xf.ffffffffffffffp-4L : inexact-ok += exp towardzero ldbl-128 -0x1p-60L : 0xf.ffffffffffffffp-4L : inexact-ok += exp upward ldbl-128 -0x1p-60L : 0xf.ffffffffffffff00000000000008p-4L : inexact-ok += exp downward ldbl-128ibm -0x1p-60L : 0xf.ffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-128ibm -0x1p-60L : 0xf.ffffffffffffffp-4L : inexact-ok += exp towardzero ldbl-128ibm -0x1p-60L : 0xf.ffffffffffffffp-4L : inexact-ok += exp upward ldbl-128ibm -0x1p-60L : 0xf.ffffffffffffff000000000004p-4L : inexact-ok +exp 0x1p-100 += exp downward flt-32 0x1p-100f : 0x1p+0f : inexact-ok += exp tonearest flt-32 0x1p-100f : 0x1p+0f : inexact-ok += exp towardzero flt-32 0x1p-100f : 0x1p+0f : inexact-ok += exp upward flt-32 0x1p-100f : 0x1.000002p+0f : inexact-ok += exp downward dbl-64 0x1p-100 : 0x1p+0 : inexact-ok += exp tonearest dbl-64 0x1p-100 : 0x1p+0 : inexact-ok += exp towardzero dbl-64 0x1p-100 : 0x1p+0 : inexact-ok += exp upward dbl-64 0x1p-100 : 0x1.0000000000001p+0 : inexact-ok += exp downward ldbl-96-intel 0x1p-100L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-intel 0x1p-100L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel 0x1p-100L : 0x1p+0L : inexact-ok += exp upward ldbl-96-intel 0x1p-100L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-96-m68k 0x1p-100L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x1p-100L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x1p-100L : 0x1p+0L : inexact-ok += exp upward ldbl-96-m68k 0x1p-100L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-128 0x1p-100L : 0x1.0000000000000000000000001p+0L : inexact-ok += exp tonearest ldbl-128 0x1p-100L : 0x1.0000000000000000000000001p+0L : inexact-ok += exp towardzero ldbl-128 0x1p-100L : 0x1.0000000000000000000000001p+0L : inexact-ok += exp upward ldbl-128 0x1p-100L : 0x1.0000000000000000000000001001p+0L : inexact-ok += exp downward ldbl-128ibm 0x1p-100L : 0x1.0000000000000000000000001p+0L : inexact-ok += exp tonearest ldbl-128ibm 0x1p-100L : 0x1.0000000000000000000000001p+0L : inexact-ok += exp towardzero ldbl-128ibm 0x1p-100L : 0x1.0000000000000000000000001p+0L : inexact-ok += exp upward ldbl-128ibm 0x1p-100L : 0x1.000000000000000000000000108p+0L : inexact-ok +exp -0x1p-100 += exp downward flt-32 -0x1p-100f : 0xf.fffffp-4f : inexact-ok += exp tonearest flt-32 -0x1p-100f : 0x1p+0f : inexact-ok += exp towardzero flt-32 -0x1p-100f : 0xf.fffffp-4f : inexact-ok += exp upward flt-32 -0x1p-100f : 0x1p+0f : inexact-ok += exp downward dbl-64 -0x1p-100 : 0xf.ffffffffffff8p-4 : inexact-ok += exp tonearest dbl-64 -0x1p-100 : 0x1p+0 : inexact-ok += exp towardzero dbl-64 -0x1p-100 : 0xf.ffffffffffff8p-4 : inexact-ok += exp upward dbl-64 -0x1p-100 : 0x1p+0 : inexact-ok += exp downward ldbl-96-intel -0x1p-100L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-intel -0x1p-100L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel -0x1p-100L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-intel -0x1p-100L : 0x1p+0L : inexact-ok += exp downward ldbl-96-m68k -0x1p-100L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x1p-100L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k -0x1p-100L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-m68k -0x1p-100L : 0x1p+0L : inexact-ok += exp downward ldbl-128 -0x1p-100L : 0xf.ffffffffffffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-128 -0x1p-100L : 0xf.ffffffffffffffffffffffffp-4L : inexact-ok += exp towardzero ldbl-128 -0x1p-100L : 0xf.ffffffffffffffffffffffffp-4L : inexact-ok += exp upward ldbl-128 -0x1p-100L : 0xf.ffffffffffffffffffffffff0008p-4L : inexact-ok += exp downward ldbl-128ibm -0x1p-100L : 0xf.ffffffffffffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-128ibm -0x1p-100L : 0xf.ffffffffffffffffffffffffp-4L : inexact-ok += exp towardzero ldbl-128ibm -0x1p-100L : 0xf.ffffffffffffffffffffffffp-4L : inexact-ok += exp upward ldbl-128ibm -0x1p-100L : 0xf.ffffffffffffffffffffffff04p-4L : inexact-ok +exp min += exp downward flt-32 0x4p-128f : 0x1p+0f : inexact-ok += exp tonearest flt-32 0x4p-128f : 0x1p+0f : inexact-ok += exp towardzero flt-32 0x4p-128f : 0x1p+0f : inexact-ok += exp upward flt-32 0x4p-128f : 0x1.000002p+0f : inexact-ok += exp downward dbl-64 0x4p-128 : 0x1p+0 : inexact-ok += exp tonearest dbl-64 0x4p-128 : 0x1p+0 : inexact-ok += exp towardzero dbl-64 0x4p-128 : 0x1p+0 : inexact-ok += exp upward dbl-64 0x4p-128 : 0x1.0000000000001p+0 : inexact-ok += exp downward ldbl-96-intel 0x4p-128L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-intel 0x4p-128L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel 0x4p-128L : 0x1p+0L : inexact-ok += exp upward ldbl-96-intel 0x4p-128L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-96-m68k 0x4p-128L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x4p-128L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x4p-128L : 0x1p+0L : inexact-ok += exp upward ldbl-96-m68k 0x4p-128L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-128 0x4p-128L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128 0x4p-128L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 0x4p-128L : 0x1p+0L : inexact-ok += exp upward ldbl-128 0x4p-128L : 0x1.0000000000000000000000000001p+0L : inexact-ok += exp downward ldbl-128ibm 0x4p-128L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128ibm 0x4p-128L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128ibm 0x4p-128L : 0x1p+0L : inexact-ok += exp upward ldbl-128ibm 0x4p-128L : 0x1.000000000000000000000000008p+0L : inexact-ok += exp downward dbl-64 0x4p-1024 : 0x1p+0 : inexact-ok += exp tonearest dbl-64 0x4p-1024 : 0x1p+0 : inexact-ok += exp towardzero dbl-64 0x4p-1024 : 0x1p+0 : inexact-ok += exp upward dbl-64 0x4p-1024 : 0x1.0000000000001p+0 : inexact-ok += exp downward ldbl-96-intel 0x4p-1024L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-intel 0x4p-1024L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel 0x4p-1024L : 0x1p+0L : inexact-ok += exp upward ldbl-96-intel 0x4p-1024L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-96-m68k 0x4p-1024L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x4p-1024L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x4p-1024L : 0x1p+0L : inexact-ok += exp upward ldbl-96-m68k 0x4p-1024L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-128 0x4p-1024L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128 0x4p-1024L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 0x4p-1024L : 0x1p+0L : inexact-ok += exp upward ldbl-128 0x4p-1024L : 0x1.0000000000000000000000000001p+0L : inexact-ok += exp downward ldbl-128ibm 0x4p-1024L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128ibm 0x4p-1024L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128ibm 0x4p-1024L : 0x1p+0L : inexact-ok += exp upward ldbl-128ibm 0x4p-1024L : 0x1.000000000000000000000000008p+0L : inexact-ok += exp downward ldbl-96-intel 0x4p-16384L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-intel 0x4p-16384L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel 0x4p-16384L : 0x1p+0L : inexact-ok += exp upward ldbl-96-intel 0x4p-16384L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-96-m68k 0x4p-16384L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x4p-16384L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x4p-16384L : 0x1p+0L : inexact-ok += exp upward ldbl-96-m68k 0x4p-16384L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-128 0x4p-16384L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128 0x4p-16384L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 0x4p-16384L : 0x1p+0L : inexact-ok += exp upward ldbl-128 0x4p-16384L : 0x1.0000000000000000000000000001p+0L : inexact-ok += exp downward ldbl-96-intel 0x2p-16384L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-intel 0x2p-16384L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel 0x2p-16384L : 0x1p+0L : inexact-ok += exp upward ldbl-96-intel 0x2p-16384L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-96-m68k 0x2p-16384L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x2p-16384L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x2p-16384L : 0x1p+0L : inexact-ok += exp upward ldbl-96-m68k 0x2p-16384L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-128 0x2p-16384L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128 0x2p-16384L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 0x2p-16384L : 0x1p+0L : inexact-ok += exp upward ldbl-128 0x2p-16384L : 0x1.0000000000000000000000000001p+0L : inexact-ok += exp downward dbl-64 0x8p-972 : 0x1p+0 : inexact-ok += exp tonearest dbl-64 0x8p-972 : 0x1p+0 : inexact-ok += exp towardzero dbl-64 0x8p-972 : 0x1p+0 : inexact-ok += exp upward dbl-64 0x8p-972 : 0x1.0000000000001p+0 : inexact-ok += exp downward ldbl-96-intel 0x8p-972L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-intel 0x8p-972L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel 0x8p-972L : 0x1p+0L : inexact-ok += exp upward ldbl-96-intel 0x8p-972L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-96-m68k 0x8p-972L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x8p-972L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x8p-972L : 0x1p+0L : inexact-ok += exp upward ldbl-96-m68k 0x8p-972L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-128 0x8p-972L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128 0x8p-972L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 0x8p-972L : 0x1p+0L : inexact-ok += exp upward ldbl-128 0x8p-972L : 0x1.0000000000000000000000000001p+0L : inexact-ok += exp downward ldbl-128ibm 0x8p-972L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128ibm 0x8p-972L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128ibm 0x8p-972L : 0x1p+0L : inexact-ok += exp upward ldbl-128ibm 0x8p-972L : 0x1.000000000000000000000000008p+0L : inexact-ok +exp -min += exp downward flt-32 -0x4p-128f : 0xf.fffffp-4f : inexact-ok += exp tonearest flt-32 -0x4p-128f : 0x1p+0f : inexact-ok += exp towardzero flt-32 -0x4p-128f : 0xf.fffffp-4f : inexact-ok += exp upward flt-32 -0x4p-128f : 0x1p+0f : inexact-ok += exp downward dbl-64 -0x4p-128 : 0xf.ffffffffffff8p-4 : inexact-ok += exp tonearest dbl-64 -0x4p-128 : 0x1p+0 : inexact-ok += exp towardzero dbl-64 -0x4p-128 : 0xf.ffffffffffff8p-4 : inexact-ok += exp upward dbl-64 -0x4p-128 : 0x1p+0 : inexact-ok += exp downward ldbl-96-intel -0x4p-128L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-intel -0x4p-128L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel -0x4p-128L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-intel -0x4p-128L : 0x1p+0L : inexact-ok += exp downward ldbl-96-m68k -0x4p-128L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x4p-128L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k -0x4p-128L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-m68k -0x4p-128L : 0x1p+0L : inexact-ok += exp downward ldbl-128 -0x4p-128L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp tonearest ldbl-128 -0x4p-128L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 -0x4p-128L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp upward ldbl-128 -0x4p-128L : 0x1p+0L : inexact-ok += exp downward ldbl-128ibm -0x4p-128L : 0xf.fffffffffffffffffffffffffcp-4L : inexact-ok += exp tonearest ldbl-128ibm -0x4p-128L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128ibm -0x4p-128L : 0xf.fffffffffffffffffffffffffcp-4L : inexact-ok += exp upward ldbl-128ibm -0x4p-128L : 0x1p+0L : inexact-ok += exp downward dbl-64 -0x4p-1024 : 0xf.ffffffffffff8p-4 : inexact-ok += exp tonearest dbl-64 -0x4p-1024 : 0x1p+0 : inexact-ok += exp towardzero dbl-64 -0x4p-1024 : 0xf.ffffffffffff8p-4 : inexact-ok += exp upward dbl-64 -0x4p-1024 : 0x1p+0 : inexact-ok += exp downward ldbl-96-intel -0x4p-1024L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-intel -0x4p-1024L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel -0x4p-1024L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-intel -0x4p-1024L : 0x1p+0L : inexact-ok += exp downward ldbl-96-m68k -0x4p-1024L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x4p-1024L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k -0x4p-1024L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-m68k -0x4p-1024L : 0x1p+0L : inexact-ok += exp downward ldbl-128 -0x4p-1024L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp tonearest ldbl-128 -0x4p-1024L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 -0x4p-1024L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp upward ldbl-128 -0x4p-1024L : 0x1p+0L : inexact-ok += exp downward ldbl-128ibm -0x4p-1024L : 0xf.fffffffffffffffffffffffffcp-4L : inexact-ok += exp tonearest ldbl-128ibm -0x4p-1024L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128ibm -0x4p-1024L : 0xf.fffffffffffffffffffffffffcp-4L : inexact-ok += exp upward ldbl-128ibm -0x4p-1024L : 0x1p+0L : inexact-ok += exp downward ldbl-96-intel -0x4p-16384L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-intel -0x4p-16384L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel -0x4p-16384L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-intel -0x4p-16384L : 0x1p+0L : inexact-ok += exp downward ldbl-96-m68k -0x4p-16384L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x4p-16384L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k -0x4p-16384L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-m68k -0x4p-16384L : 0x1p+0L : inexact-ok += exp downward ldbl-128 -0x4p-16384L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp tonearest ldbl-128 -0x4p-16384L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 -0x4p-16384L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp upward ldbl-128 -0x4p-16384L : 0x1p+0L : inexact-ok += exp downward ldbl-96-intel -0x2p-16384L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-intel -0x2p-16384L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel -0x2p-16384L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-intel -0x2p-16384L : 0x1p+0L : inexact-ok += exp downward ldbl-96-m68k -0x2p-16384L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x2p-16384L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k -0x2p-16384L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-m68k -0x2p-16384L : 0x1p+0L : inexact-ok += exp downward ldbl-128 -0x2p-16384L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp tonearest ldbl-128 -0x2p-16384L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 -0x2p-16384L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp upward ldbl-128 -0x2p-16384L : 0x1p+0L : inexact-ok += exp downward dbl-64 -0x8p-972 : 0xf.ffffffffffff8p-4 : inexact-ok += exp tonearest dbl-64 -0x8p-972 : 0x1p+0 : inexact-ok += exp towardzero dbl-64 -0x8p-972 : 0xf.ffffffffffff8p-4 : inexact-ok += exp upward dbl-64 -0x8p-972 : 0x1p+0 : inexact-ok += exp downward ldbl-96-intel -0x8p-972L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-intel -0x8p-972L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel -0x8p-972L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-intel -0x8p-972L : 0x1p+0L : inexact-ok += exp downward ldbl-96-m68k -0x8p-972L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x8p-972L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k -0x8p-972L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-m68k -0x8p-972L : 0x1p+0L : inexact-ok += exp downward ldbl-128 -0x8p-972L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp tonearest ldbl-128 -0x8p-972L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 -0x8p-972L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp upward ldbl-128 -0x8p-972L : 0x1p+0L : inexact-ok += exp downward ldbl-128ibm -0x8p-972L : 0xf.fffffffffffffffffffffffffcp-4L : inexact-ok += exp tonearest ldbl-128ibm -0x8p-972L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128ibm -0x8p-972L : 0xf.fffffffffffffffffffffffffcp-4L : inexact-ok += exp upward ldbl-128ibm -0x8p-972L : 0x1p+0L : inexact-ok +exp min_subnorm += exp downward flt-32 0x8p-152f : 0x1p+0f : inexact-ok += exp tonearest flt-32 0x8p-152f : 0x1p+0f : inexact-ok += exp towardzero flt-32 0x8p-152f : 0x1p+0f : inexact-ok += exp upward flt-32 0x8p-152f : 0x1.000002p+0f : inexact-ok += exp downward dbl-64 0x8p-152 : 0x1p+0 : inexact-ok += exp tonearest dbl-64 0x8p-152 : 0x1p+0 : inexact-ok += exp towardzero dbl-64 0x8p-152 : 0x1p+0 : inexact-ok += exp upward dbl-64 0x8p-152 : 0x1.0000000000001p+0 : inexact-ok += exp downward ldbl-96-intel 0x8p-152L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-intel 0x8p-152L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel 0x8p-152L : 0x1p+0L : inexact-ok += exp upward ldbl-96-intel 0x8p-152L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-96-m68k 0x8p-152L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x8p-152L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x8p-152L : 0x1p+0L : inexact-ok += exp upward ldbl-96-m68k 0x8p-152L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-128 0x8p-152L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128 0x8p-152L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 0x8p-152L : 0x1p+0L : inexact-ok += exp upward ldbl-128 0x8p-152L : 0x1.0000000000000000000000000001p+0L : inexact-ok += exp downward ldbl-128ibm 0x8p-152L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128ibm 0x8p-152L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128ibm 0x8p-152L : 0x1p+0L : inexact-ok += exp upward ldbl-128ibm 0x8p-152L : 0x1.000000000000000000000000008p+0L : inexact-ok += exp downward dbl-64 0x4p-1076 : 0x1p+0 : inexact-ok += exp tonearest dbl-64 0x4p-1076 : 0x1p+0 : inexact-ok += exp towardzero dbl-64 0x4p-1076 : 0x1p+0 : inexact-ok += exp upward dbl-64 0x4p-1076 : 0x1.0000000000001p+0 : inexact-ok += exp downward ldbl-96-intel 0x4p-1076L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-intel 0x4p-1076L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel 0x4p-1076L : 0x1p+0L : inexact-ok += exp upward ldbl-96-intel 0x4p-1076L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-96-m68k 0x4p-1076L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x4p-1076L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x4p-1076L : 0x1p+0L : inexact-ok += exp upward ldbl-96-m68k 0x4p-1076L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-128 0x4p-1076L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128 0x4p-1076L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 0x4p-1076L : 0x1p+0L : inexact-ok += exp upward ldbl-128 0x4p-1076L : 0x1.0000000000000000000000000001p+0L : inexact-ok += exp downward ldbl-128ibm 0x4p-1076L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128ibm 0x4p-1076L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128ibm 0x4p-1076L : 0x1p+0L : inexact-ok += exp upward ldbl-128ibm 0x4p-1076L : 0x1.000000000000000000000000008p+0L : inexact-ok += exp downward ldbl-96-intel 0x8p-16448L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-intel 0x8p-16448L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel 0x8p-16448L : 0x1p+0L : inexact-ok += exp upward ldbl-96-intel 0x8p-16448L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-96-m68k 0x8p-16448L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x8p-16448L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x8p-16448L : 0x1p+0L : inexact-ok += exp upward ldbl-96-m68k 0x8p-16448L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-128 0x8p-16448L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128 0x8p-16448L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 0x8p-16448L : 0x1p+0L : inexact-ok += exp upward ldbl-128 0x8p-16448L : 0x1.0000000000000000000000000001p+0L : inexact-ok += exp downward ldbl-96-m68k 0x4p-16448L : 0x1p+0L : inexact-ok += exp tonearest ldbl-96-m68k 0x4p-16448L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k 0x4p-16448L : 0x1p+0L : inexact-ok += exp upward ldbl-96-m68k 0x4p-16448L : 0x1.0000000000000002p+0L : inexact-ok += exp downward ldbl-128 0x4p-16448L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128 0x4p-16448L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 0x4p-16448L : 0x1p+0L : inexact-ok += exp upward ldbl-128 0x4p-16448L : 0x1.0000000000000000000000000001p+0L : inexact-ok += exp downward ldbl-128 0x4p-16496L : 0x1p+0L : inexact-ok += exp tonearest ldbl-128 0x4p-16496L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 0x4p-16496L : 0x1p+0L : inexact-ok += exp upward ldbl-128 0x4p-16496L : 0x1.0000000000000000000000000001p+0L : inexact-ok +exp -min_subnorm += exp downward flt-32 -0x8p-152f : 0xf.fffffp-4f : inexact-ok += exp tonearest flt-32 -0x8p-152f : 0x1p+0f : inexact-ok += exp towardzero flt-32 -0x8p-152f : 0xf.fffffp-4f : inexact-ok += exp upward flt-32 -0x8p-152f : 0x1p+0f : inexact-ok += exp downward dbl-64 -0x8p-152 : 0xf.ffffffffffff8p-4 : inexact-ok += exp tonearest dbl-64 -0x8p-152 : 0x1p+0 : inexact-ok += exp towardzero dbl-64 -0x8p-152 : 0xf.ffffffffffff8p-4 : inexact-ok += exp upward dbl-64 -0x8p-152 : 0x1p+0 : inexact-ok += exp downward ldbl-96-intel -0x8p-152L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-intel -0x8p-152L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel -0x8p-152L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-intel -0x8p-152L : 0x1p+0L : inexact-ok += exp downward ldbl-96-m68k -0x8p-152L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x8p-152L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k -0x8p-152L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-m68k -0x8p-152L : 0x1p+0L : inexact-ok += exp downward ldbl-128 -0x8p-152L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp tonearest ldbl-128 -0x8p-152L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 -0x8p-152L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp upward ldbl-128 -0x8p-152L : 0x1p+0L : inexact-ok += exp downward ldbl-128ibm -0x8p-152L : 0xf.fffffffffffffffffffffffffcp-4L : inexact-ok += exp tonearest ldbl-128ibm -0x8p-152L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128ibm -0x8p-152L : 0xf.fffffffffffffffffffffffffcp-4L : inexact-ok += exp upward ldbl-128ibm -0x8p-152L : 0x1p+0L : inexact-ok += exp downward dbl-64 -0x4p-1076 : 0xf.ffffffffffff8p-4 : inexact-ok += exp tonearest dbl-64 -0x4p-1076 : 0x1p+0 : inexact-ok += exp towardzero dbl-64 -0x4p-1076 : 0xf.ffffffffffff8p-4 : inexact-ok += exp upward dbl-64 -0x4p-1076 : 0x1p+0 : inexact-ok += exp downward ldbl-96-intel -0x4p-1076L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-intel -0x4p-1076L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel -0x4p-1076L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-intel -0x4p-1076L : 0x1p+0L : inexact-ok += exp downward ldbl-96-m68k -0x4p-1076L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x4p-1076L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k -0x4p-1076L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-m68k -0x4p-1076L : 0x1p+0L : inexact-ok += exp downward ldbl-128 -0x4p-1076L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp tonearest ldbl-128 -0x4p-1076L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 -0x4p-1076L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp upward ldbl-128 -0x4p-1076L : 0x1p+0L : inexact-ok += exp downward ldbl-128ibm -0x4p-1076L : 0xf.fffffffffffffffffffffffffcp-4L : inexact-ok += exp tonearest ldbl-128ibm -0x4p-1076L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128ibm -0x4p-1076L : 0xf.fffffffffffffffffffffffffcp-4L : inexact-ok += exp upward ldbl-128ibm -0x4p-1076L : 0x1p+0L : inexact-ok += exp downward ldbl-96-intel -0x8p-16448L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-intel -0x8p-16448L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-intel -0x8p-16448L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-intel -0x8p-16448L : 0x1p+0L : inexact-ok += exp downward ldbl-96-m68k -0x8p-16448L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x8p-16448L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k -0x8p-16448L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-m68k -0x8p-16448L : 0x1p+0L : inexact-ok += exp downward ldbl-128 -0x8p-16448L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp tonearest ldbl-128 -0x8p-16448L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 -0x8p-16448L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp upward ldbl-128 -0x8p-16448L : 0x1p+0L : inexact-ok += exp downward ldbl-96-m68k -0x4p-16448L : 0xf.fffffffffffffffp-4L : inexact-ok += exp tonearest ldbl-96-m68k -0x4p-16448L : 0x1p+0L : inexact-ok += exp towardzero ldbl-96-m68k -0x4p-16448L : 0xf.fffffffffffffffp-4L : inexact-ok += exp upward ldbl-96-m68k -0x4p-16448L : 0x1p+0L : inexact-ok += exp downward ldbl-128 -0x4p-16448L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp tonearest ldbl-128 -0x4p-16448L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 -0x4p-16448L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp upward ldbl-128 -0x4p-16448L : 0x1p+0L : inexact-ok += exp downward ldbl-128 -0x4p-16496L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp tonearest ldbl-128 -0x4p-16496L : 0x1p+0L : inexact-ok += exp towardzero ldbl-128 -0x4p-16496L : 0xf.fffffffffffffffffffffffffff8p-4L : inexact-ok += exp upward ldbl-128 -0x4p-16496L : 0x1p+0L : inexact-ok exp10 0 = exp10 downward flt-32 0x0p+0f : 0x1p+0f : inexact-ok = exp10 tonearest flt-32 0x0p+0f : 0x1p+0f : inexact-ok |