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Fix x86_64 / x86 expm1l (-min_subnorm) result sign (bug 18569).

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In the x86 / x86_64 implementations of expm1l, when expm1l's result
should underflow to 0 (argument minus the least subnormal, in some
rounding modes), it can be a zero of the wrong sign.  This patch fixes
this by returning the argument with underflow forced in that case
(this is a 1ulp error relative to the correctly rounded result of -0,
which is OK in terms of the documented accuracy goals, whereas a
result with the wrong sign never is).

Tested for x86_64 and x86.

	[BZ #18569]
	* sysdeps/i386/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]: Force
	underflow and return argument in case of subnormal argument.
	* sysdeps/x86_64/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]:
	Likewise.
	* math/auto-libm-test-in: Add more tests of expm1.
	* math/auto-libm-test-out: Regenerated.
This commit is contained in:
Joseph Myers 2015-06-21 18:43:10 +00:00
parent fea1d8d673
commit cb0937b299
6 changed files with 341 additions and 1 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

8
ChangeLog
View File

@ -1,5 +1,13 @@
2015-06-21 Joseph Myers <joseph@codesourcery.com>
[BZ #18569]
* sysdeps/i386/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]: Force
underflow and return argument in case of subnormal argument.
* sysdeps/x86_64/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]:
Likewise.
* math/auto-libm-test-in: Add more tests of expm1.
* math/auto-libm-test-out: Regenerated.
[BZ #16361]
* sysdeps/i386/fpu/e_expl.S [!USE_AS_EXPM1L] (cmin): New object.
(IEEE754_EXPL) [!USE_AS_EXPM1L]: Force underflow exception for

2
NEWS
View File

@ -23,7 +23,7 @@ Version 2.22
18422, 18434, 18444, 18468, 18469, 18470, 18479, 18483, 18495, 18496,
18497, 18498, 18507, 18512, 18519, 18520, 18522, 18527, 18528, 18529,
18530, 18532, 18533, 18534, 18536, 18539, 18540, 18542, 18544, 18545,
18546, 18547, 18553, 18558.
18546, 18547, 18553, 18558, 18569.
* Cache information can be queried via sysconf() function on s390 e.g. with
_SC_LEVEL1_ICACHE_SIZE as argument.

4
math/auto-libm-test-in
View File

@ -1364,6 +1364,10 @@ expm1 0x5.fb8dc64e91a74p-4
expm1 0x3.735f497c4e67535cp-4
# Bug 16353: underflow exception may be missing
expm1 0x4.0000000000000028p-16384 missing-underflow
expm1 min missing-underflow
expm1 -min missing-underflow
expm1 min_subnorm missing-underflow
expm1 -min_subnorm missing-underflow
fma 1.0 2.0 3.0
fma 1.25 0.75 0.0625

316
math/auto-libm-test-out
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@ -109579,6 +109579,322 @@ expm1 0x4.0000000000000028p-16384 missing-underflow
= expm1 tonearest ldbl-128 0x4.0000000000000028p-16384L : 0x4.0000000000000028p-16384L : inexact-ok
= expm1 towardzero ldbl-128 0x4.0000000000000028p-16384L : 0x4.0000000000000028p-16384L : inexact-ok
= expm1 upward ldbl-128 0x4.0000000000000028p-16384L : 0x4.0000000000000028000000000004p-16384L : inexact-ok
expm1 min missing-underflow
= expm1 downward flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok errno-erange-ok
= expm1 tonearest flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok errno-erange-ok
= expm1 towardzero flt-32 0x4p-128f : 0x4p-128f : inexact-ok underflow-ok errno-erange-ok
= expm1 upward flt-32 0x4p-128f : 0x4.000008p-128f : inexact-ok underflow-ok errno-erange-ok
= expm1 downward dbl-64 0x4p-128 : 0x4p-128 : inexact-ok
= expm1 tonearest dbl-64 0x4p-128 : 0x4p-128 : inexact-ok
= expm1 towardzero dbl-64 0x4p-128 : 0x4p-128 : inexact-ok
= expm1 upward dbl-64 0x4p-128 : 0x4.0000000000004p-128 : inexact-ok
= expm1 downward ldbl-96-intel 0x4p-128L : 0x4p-128L : inexact-ok
= expm1 tonearest ldbl-96-intel 0x4p-128L : 0x4p-128L : inexact-ok
= expm1 towardzero ldbl-96-intel 0x4p-128L : 0x4p-128L : inexact-ok
= expm1 upward ldbl-96-intel 0x4p-128L : 0x4.0000000000000008p-128L : inexact-ok
= expm1 downward ldbl-96-m68k 0x4p-128L : 0x4p-128L : inexact-ok
= expm1 tonearest ldbl-96-m68k 0x4p-128L : 0x4p-128L : inexact-ok
= expm1 towardzero ldbl-96-m68k 0x4p-128L : 0x4p-128L : inexact-ok
= expm1 upward ldbl-96-m68k 0x4p-128L : 0x4.0000000000000008p-128L : inexact-ok
= expm1 downward ldbl-128 0x4p-128L : 0x4p-128L : inexact-ok
= expm1 tonearest ldbl-128 0x4p-128L : 0x4p-128L : inexact-ok
= expm1 towardzero ldbl-128 0x4p-128L : 0x4p-128L : inexact-ok
= expm1 upward ldbl-128 0x4p-128L : 0x4.0000000000000000000000000004p-128L : inexact-ok
= expm1 downward ldbl-128ibm 0x4p-128L : 0x4p-128L : inexact-ok
= expm1 tonearest ldbl-128ibm 0x4p-128L : 0x4p-128L : inexact-ok
= expm1 towardzero ldbl-128ibm 0x4p-128L : 0x4p-128L : inexact-ok
= expm1 upward ldbl-128ibm 0x4p-128L : 0x4.00000000000000000000000002p-128L : inexact-ok
= expm1 downward dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
= expm1 tonearest dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
= expm1 towardzero dbl-64 0x4p-1024 : 0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
= expm1 upward dbl-64 0x4p-1024 : 0x4.0000000000004p-1024 : inexact-ok underflow-ok errno-erange-ok
= expm1 downward ldbl-96-intel 0x4p-1024L : 0x4p-1024L : inexact-ok
= expm1 tonearest ldbl-96-intel 0x4p-1024L : 0x4p-1024L : inexact-ok
= expm1 towardzero ldbl-96-intel 0x4p-1024L : 0x4p-1024L : inexact-ok
= expm1 upward ldbl-96-intel 0x4p-1024L : 0x4.0000000000000008p-1024L : inexact-ok
= expm1 downward ldbl-96-m68k 0x4p-1024L : 0x4p-1024L : inexact-ok
= expm1 tonearest ldbl-96-m68k 0x4p-1024L : 0x4p-1024L : inexact-ok
= expm1 towardzero ldbl-96-m68k 0x4p-1024L : 0x4p-1024L : inexact-ok
= expm1 upward ldbl-96-m68k 0x4p-1024L : 0x4.0000000000000008p-1024L : inexact-ok
= expm1 downward ldbl-128 0x4p-1024L : 0x4p-1024L : inexact-ok
= expm1 tonearest ldbl-128 0x4p-1024L : 0x4p-1024L : inexact-ok
= expm1 towardzero ldbl-128 0x4p-1024L : 0x4p-1024L : inexact-ok
= expm1 upward ldbl-128 0x4p-1024L : 0x4.0000000000000000000000000004p-1024L : inexact-ok
= expm1 downward ldbl-128ibm 0x4p-1024L : 0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128ibm 0x4p-1024L : 0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128ibm 0x4p-1024L : 0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-128ibm 0x4p-1024L : 0x4.0000000000004p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 tonearest ldbl-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 towardzero ldbl-96-intel 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 upward ldbl-96-intel 0x4p-16384L : 0x4.0000000000000008p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 downward ldbl-96-m68k 0x4p-16384L : 0x4p-16384L : inexact-ok
= expm1 tonearest ldbl-96-m68k 0x4p-16384L : 0x4p-16384L : inexact-ok
= expm1 towardzero ldbl-96-m68k 0x4p-16384L : 0x4p-16384L : inexact-ok
= expm1 upward ldbl-96-m68k 0x4p-16384L : 0x4.0000000000000008p-16384L : inexact-ok
= expm1 downward ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128 0x4p-16384L : 0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 upward ldbl-128 0x4p-16384L : 0x4.0000000000000000000000000004p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 downward ldbl-96-intel 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-96-intel 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-96-intel 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-96-intel 0x2p-16384L : 0x2.0000000000000008p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-96-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 tonearest ldbl-96-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 towardzero ldbl-96-m68k 0x2p-16384L : 0x2p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 upward ldbl-96-m68k 0x2p-16384L : 0x2.0000000000000004p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 downward ldbl-128 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128 0x2p-16384L : 0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-128 0x2p-16384L : 0x2.0000000000000000000000000004p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward dbl-64 0x8p-972 : 0x8p-972 : inexact-ok
= expm1 tonearest dbl-64 0x8p-972 : 0x8p-972 : inexact-ok
= expm1 towardzero dbl-64 0x8p-972 : 0x8p-972 : inexact-ok
= expm1 upward dbl-64 0x8p-972 : 0x8.0000000000008p-972 : inexact-ok
= expm1 downward ldbl-96-intel 0x8p-972L : 0x8p-972L : inexact-ok
= expm1 tonearest ldbl-96-intel 0x8p-972L : 0x8p-972L : inexact-ok
= expm1 towardzero ldbl-96-intel 0x8p-972L : 0x8p-972L : inexact-ok
= expm1 upward ldbl-96-intel 0x8p-972L : 0x8.000000000000001p-972L : inexact-ok
= expm1 downward ldbl-96-m68k 0x8p-972L : 0x8p-972L : inexact-ok
= expm1 tonearest ldbl-96-m68k 0x8p-972L : 0x8p-972L : inexact-ok
= expm1 towardzero ldbl-96-m68k 0x8p-972L : 0x8p-972L : inexact-ok
= expm1 upward ldbl-96-m68k 0x8p-972L : 0x8.000000000000001p-972L : inexact-ok
= expm1 downward ldbl-128 0x8p-972L : 0x8p-972L : inexact-ok
= expm1 tonearest ldbl-128 0x8p-972L : 0x8p-972L : inexact-ok
= expm1 towardzero ldbl-128 0x8p-972L : 0x8p-972L : inexact-ok
= expm1 upward ldbl-128 0x8p-972L : 0x8.0000000000000000000000000008p-972L : inexact-ok
= expm1 downward ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128ibm 0x8p-972L : 0x8p-972L : inexact-ok underflow-ok errno-erange-ok
= expm1 upward ldbl-128ibm 0x8p-972L : 0x8.00000000000000000000000004p-972L : inexact-ok underflow-ok errno-erange-ok
expm1 -min missing-underflow
= expm1 downward flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok errno-erange-ok
= expm1 tonearest flt-32 -0x4p-128f : -0x4p-128f : inexact-ok underflow-ok errno-erange-ok
= expm1 towardzero flt-32 -0x4p-128f : -0x3.fffff8p-128f : inexact-ok underflow-ok errno-erange-ok
= expm1 upward flt-32 -0x4p-128f : -0x3.fffff8p-128f : inexact-ok underflow-ok errno-erange-ok
= expm1 downward dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok
= expm1 tonearest dbl-64 -0x4p-128 : -0x4p-128 : inexact-ok
= expm1 towardzero dbl-64 -0x4p-128 : -0x3.ffffffffffffep-128 : inexact-ok
= expm1 upward dbl-64 -0x4p-128 : -0x3.ffffffffffffep-128 : inexact-ok
= expm1 downward ldbl-96-intel -0x4p-128L : -0x4p-128L : inexact-ok
= expm1 tonearest ldbl-96-intel -0x4p-128L : -0x4p-128L : inexact-ok
= expm1 towardzero ldbl-96-intel -0x4p-128L : -0x3.fffffffffffffffcp-128L : inexact-ok
= expm1 upward ldbl-96-intel -0x4p-128L : -0x3.fffffffffffffffcp-128L : inexact-ok
= expm1 downward ldbl-96-m68k -0x4p-128L : -0x4p-128L : inexact-ok
= expm1 tonearest ldbl-96-m68k -0x4p-128L : -0x4p-128L : inexact-ok
= expm1 towardzero ldbl-96-m68k -0x4p-128L : -0x3.fffffffffffffffcp-128L : inexact-ok
= expm1 upward ldbl-96-m68k -0x4p-128L : -0x3.fffffffffffffffcp-128L : inexact-ok
= expm1 downward ldbl-128 -0x4p-128L : -0x4p-128L : inexact-ok
= expm1 tonearest ldbl-128 -0x4p-128L : -0x4p-128L : inexact-ok
= expm1 towardzero ldbl-128 -0x4p-128L : -0x3.fffffffffffffffffffffffffffep-128L : inexact-ok
= expm1 upward ldbl-128 -0x4p-128L : -0x3.fffffffffffffffffffffffffffep-128L : inexact-ok
= expm1 downward ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok
= expm1 tonearest ldbl-128ibm -0x4p-128L : -0x4p-128L : inexact-ok
= expm1 towardzero ldbl-128ibm -0x4p-128L : -0x3.ffffffffffffffffffffffffffp-128L : inexact-ok
= expm1 upward ldbl-128ibm -0x4p-128L : -0x3.ffffffffffffffffffffffffffp-128L : inexact-ok
= expm1 downward dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
= expm1 tonearest dbl-64 -0x4p-1024 : -0x4p-1024 : inexact-ok underflow-ok errno-erange-ok
= expm1 towardzero dbl-64 -0x4p-1024 : -0x3.ffffffffffffcp-1024 : inexact-ok underflow-ok errno-erange-ok
= expm1 upward dbl-64 -0x4p-1024 : -0x3.ffffffffffffcp-1024 : inexact-ok underflow-ok errno-erange-ok
= expm1 downward ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok
= expm1 tonearest ldbl-96-intel -0x4p-1024L : -0x4p-1024L : inexact-ok
= expm1 towardzero ldbl-96-intel -0x4p-1024L : -0x3.fffffffffffffffcp-1024L : inexact-ok
= expm1 upward ldbl-96-intel -0x4p-1024L : -0x3.fffffffffffffffcp-1024L : inexact-ok
= expm1 downward ldbl-96-m68k -0x4p-1024L : -0x4p-1024L : inexact-ok
= expm1 tonearest ldbl-96-m68k -0x4p-1024L : -0x4p-1024L : inexact-ok
= expm1 towardzero ldbl-96-m68k -0x4p-1024L : -0x3.fffffffffffffffcp-1024L : inexact-ok
= expm1 upward ldbl-96-m68k -0x4p-1024L : -0x3.fffffffffffffffcp-1024L : inexact-ok
= expm1 downward ldbl-128 -0x4p-1024L : -0x4p-1024L : inexact-ok
= expm1 tonearest ldbl-128 -0x4p-1024L : -0x4p-1024L : inexact-ok
= expm1 towardzero ldbl-128 -0x4p-1024L : -0x3.fffffffffffffffffffffffffffep-1024L : inexact-ok
= expm1 upward ldbl-128 -0x4p-1024L : -0x3.fffffffffffffffffffffffffffep-1024L : inexact-ok
= expm1 downward ldbl-128ibm -0x4p-1024L : -0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128ibm -0x4p-1024L : -0x4p-1024L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128ibm -0x4p-1024L : -0x3.ffffffffffffcp-1024L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-128ibm -0x4p-1024L : -0x3.ffffffffffffcp-1024L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 tonearest ldbl-96-intel -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 towardzero ldbl-96-intel -0x4p-16384L : -0x3.fffffffffffffff8p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 upward ldbl-96-intel -0x4p-16384L : -0x3.fffffffffffffff8p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 downward ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok
= expm1 tonearest ldbl-96-m68k -0x4p-16384L : -0x4p-16384L : inexact-ok
= expm1 towardzero ldbl-96-m68k -0x4p-16384L : -0x3.fffffffffffffffcp-16384L : inexact-ok
= expm1 upward ldbl-96-m68k -0x4p-16384L : -0x3.fffffffffffffffcp-16384L : inexact-ok
= expm1 downward ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128 -0x4p-16384L : -0x4p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128 -0x4p-16384L : -0x3.fffffffffffffffffffffffffffcp-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 upward ldbl-128 -0x4p-16384L : -0x3.fffffffffffffffffffffffffffcp-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 downward ldbl-96-intel -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-96-intel -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-96-intel -0x2p-16384L : -0x1.fffffffffffffff8p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-96-intel -0x2p-16384L : -0x1.fffffffffffffff8p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 tonearest ldbl-96-m68k -0x2p-16384L : -0x2p-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 towardzero ldbl-96-m68k -0x2p-16384L : -0x1.fffffffffffffffcp-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 upward ldbl-96-m68k -0x2p-16384L : -0x1.fffffffffffffffcp-16384L : inexact-ok underflow-ok errno-erange-ok
= expm1 downward ldbl-128 -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128 -0x2p-16384L : -0x2p-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128 -0x2p-16384L : -0x1.fffffffffffffffffffffffffffcp-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-128 -0x2p-16384L : -0x1.fffffffffffffffffffffffffffcp-16384L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward dbl-64 -0x8p-972 : -0x8p-972 : inexact-ok
= expm1 tonearest dbl-64 -0x8p-972 : -0x8p-972 : inexact-ok
= expm1 towardzero dbl-64 -0x8p-972 : -0x7.ffffffffffffcp-972 : inexact-ok
= expm1 upward dbl-64 -0x8p-972 : -0x7.ffffffffffffcp-972 : inexact-ok
= expm1 downward ldbl-96-intel -0x8p-972L : -0x8p-972L : inexact-ok
= expm1 tonearest ldbl-96-intel -0x8p-972L : -0x8p-972L : inexact-ok
= expm1 towardzero ldbl-96-intel -0x8p-972L : -0x7.fffffffffffffff8p-972L : inexact-ok
= expm1 upward ldbl-96-intel -0x8p-972L : -0x7.fffffffffffffff8p-972L : inexact-ok
= expm1 downward ldbl-96-m68k -0x8p-972L : -0x8p-972L : inexact-ok
= expm1 tonearest ldbl-96-m68k -0x8p-972L : -0x8p-972L : inexact-ok
= expm1 towardzero ldbl-96-m68k -0x8p-972L : -0x7.fffffffffffffff8p-972L : inexact-ok
= expm1 upward ldbl-96-m68k -0x8p-972L : -0x7.fffffffffffffff8p-972L : inexact-ok
= expm1 downward ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok
= expm1 tonearest ldbl-128 -0x8p-972L : -0x8p-972L : inexact-ok
= expm1 towardzero ldbl-128 -0x8p-972L : -0x7.fffffffffffffffffffffffffffcp-972L : inexact-ok
= expm1 upward ldbl-128 -0x8p-972L : -0x7.fffffffffffffffffffffffffffcp-972L : inexact-ok
= expm1 downward ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128ibm -0x8p-972L : -0x8p-972L : inexact-ok underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128ibm -0x8p-972L : -0x7.fffffffffffffffffffffffffcp-972L : inexact-ok underflow-ok errno-erange-ok
= expm1 upward ldbl-128ibm -0x8p-972L : -0x7.fffffffffffffffffffffffffcp-972L : inexact-ok underflow-ok errno-erange-ok
expm1 min_subnorm missing-underflow
= expm1 downward flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward flt-32 0x8p-152f : 0x1p-148f : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= expm1 tonearest dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= expm1 towardzero dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= expm1 upward dbl-64 0x8p-152 : 0x8.0000000000008p-152 : inexact-ok
= expm1 downward ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= expm1 tonearest ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= expm1 towardzero ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= expm1 upward ldbl-96-intel 0x8p-152L : 0x8.000000000000001p-152L : inexact-ok
= expm1 downward ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= expm1 tonearest ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= expm1 towardzero ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= expm1 upward ldbl-96-m68k 0x8p-152L : 0x8.000000000000001p-152L : inexact-ok
= expm1 downward ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= expm1 tonearest ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= expm1 towardzero ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= expm1 upward ldbl-128 0x8p-152L : 0x8.0000000000000000000000000008p-152L : inexact-ok
= expm1 downward ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= expm1 tonearest ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= expm1 towardzero ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= expm1 upward ldbl-128ibm 0x8p-152L : 0x8.00000000000000000000000004p-152L : inexact-ok
= expm1 downward dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward dbl-64 0x4p-1076 : 0x8p-1076 : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok
= expm1 tonearest ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok
= expm1 towardzero ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok
= expm1 upward ldbl-96-intel 0x4p-1076L : 0x4.0000000000000008p-1076L : inexact-ok
= expm1 downward ldbl-96-m68k 0x4p-1076L : 0x4p-1076L : inexact-ok
= expm1 tonearest ldbl-96-m68k 0x4p-1076L : 0x4p-1076L : inexact-ok
= expm1 towardzero ldbl-96-m68k 0x4p-1076L : 0x4p-1076L : inexact-ok
= expm1 upward ldbl-96-m68k 0x4p-1076L : 0x4.0000000000000008p-1076L : inexact-ok
= expm1 downward ldbl-128 0x4p-1076L : 0x4p-1076L : inexact-ok
= expm1 tonearest ldbl-128 0x4p-1076L : 0x4p-1076L : inexact-ok
= expm1 towardzero ldbl-128 0x4p-1076L : 0x4p-1076L : inexact-ok
= expm1 upward ldbl-128 0x4p-1076L : 0x4.0000000000000000000000000004p-1076L : inexact-ok
= expm1 downward ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-128ibm 0x4p-1076L : 0x8p-1076L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-96-intel 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-96-intel 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-96-intel 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-96-intel 0x8p-16448L : 0x1p-16444L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-96-m68k 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-96-m68k 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-96-m68k 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-96-m68k 0x8p-16448L : 0xcp-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-128 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128 0x8p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-128 0x8p-16448L : 0x8.000000000004p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-96-m68k 0x4p-16448L : 0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-96-m68k 0x4p-16448L : 0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-96-m68k 0x4p-16448L : 0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-96-m68k 0x4p-16448L : 0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-128 0x4p-16448L : 0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128 0x4p-16448L : 0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128 0x4p-16448L : 0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-128 0x4p-16448L : 0x4.000000000004p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-128 0x4p-16496L : 0x4p-16496L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128 0x4p-16496L : 0x4p-16496L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128 0x4p-16496L : 0x4p-16496L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-128 0x4p-16496L : 0x8p-16496L : inexact-ok underflow underflow-ok errno-erange-ok
expm1 -min_subnorm missing-underflow
= expm1 downward flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero flt-32 -0x8p-152f : -0x0p+0f : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward flt-32 -0x8p-152f : -0x0p+0f : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward dbl-64 -0x8p-152 : -0x8p-152 : inexact-ok
= expm1 tonearest dbl-64 -0x8p-152 : -0x8p-152 : inexact-ok
= expm1 towardzero dbl-64 -0x8p-152 : -0x7.ffffffffffffcp-152 : inexact-ok
= expm1 upward dbl-64 -0x8p-152 : -0x7.ffffffffffffcp-152 : inexact-ok
= expm1 downward ldbl-96-intel -0x8p-152L : -0x8p-152L : inexact-ok
= expm1 tonearest ldbl-96-intel -0x8p-152L : -0x8p-152L : inexact-ok
= expm1 towardzero ldbl-96-intel -0x8p-152L : -0x7.fffffffffffffff8p-152L : inexact-ok
= expm1 upward ldbl-96-intel -0x8p-152L : -0x7.fffffffffffffff8p-152L : inexact-ok
= expm1 downward ldbl-96-m68k -0x8p-152L : -0x8p-152L : inexact-ok
= expm1 tonearest ldbl-96-m68k -0x8p-152L : -0x8p-152L : inexact-ok
= expm1 towardzero ldbl-96-m68k -0x8p-152L : -0x7.fffffffffffffff8p-152L : inexact-ok
= expm1 upward ldbl-96-m68k -0x8p-152L : -0x7.fffffffffffffff8p-152L : inexact-ok
= expm1 downward ldbl-128 -0x8p-152L : -0x8p-152L : inexact-ok
= expm1 tonearest ldbl-128 -0x8p-152L : -0x8p-152L : inexact-ok
= expm1 towardzero ldbl-128 -0x8p-152L : -0x7.fffffffffffffffffffffffffffcp-152L : inexact-ok
= expm1 upward ldbl-128 -0x8p-152L : -0x7.fffffffffffffffffffffffffffcp-152L : inexact-ok
= expm1 downward ldbl-128ibm -0x8p-152L : -0x8p-152L : inexact-ok
= expm1 tonearest ldbl-128ibm -0x8p-152L : -0x8p-152L : inexact-ok
= expm1 towardzero ldbl-128ibm -0x8p-152L : -0x7.fffffffffffffffffffffffffep-152L : inexact-ok
= expm1 upward ldbl-128ibm -0x8p-152L : -0x7.fffffffffffffffffffffffffep-152L : inexact-ok
= expm1 downward dbl-64 -0x4p-1076 : -0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest dbl-64 -0x4p-1076 : -0x4p-1076 : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero dbl-64 -0x4p-1076 : -0x0p+0 : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward dbl-64 -0x4p-1076 : -0x0p+0 : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-96-intel -0x4p-1076L : -0x4p-1076L : inexact-ok
= expm1 tonearest ldbl-96-intel -0x4p-1076L : -0x4p-1076L : inexact-ok
= expm1 towardzero ldbl-96-intel -0x4p-1076L : -0x3.fffffffffffffffcp-1076L : inexact-ok
= expm1 upward ldbl-96-intel -0x4p-1076L : -0x3.fffffffffffffffcp-1076L : inexact-ok
= expm1 downward ldbl-96-m68k -0x4p-1076L : -0x4p-1076L : inexact-ok
= expm1 tonearest ldbl-96-m68k -0x4p-1076L : -0x4p-1076L : inexact-ok
= expm1 towardzero ldbl-96-m68k -0x4p-1076L : -0x3.fffffffffffffffcp-1076L : inexact-ok
= expm1 upward ldbl-96-m68k -0x4p-1076L : -0x3.fffffffffffffffcp-1076L : inexact-ok
= expm1 downward ldbl-128 -0x4p-1076L : -0x4p-1076L : inexact-ok
= expm1 tonearest ldbl-128 -0x4p-1076L : -0x4p-1076L : inexact-ok
= expm1 towardzero ldbl-128 -0x4p-1076L : -0x3.fffffffffffffffffffffffffffep-1076L : inexact-ok
= expm1 upward ldbl-128 -0x4p-1076L : -0x3.fffffffffffffffffffffffffffep-1076L : inexact-ok
= expm1 downward ldbl-128ibm -0x4p-1076L : -0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128ibm -0x4p-1076L : -0x4p-1076L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128ibm -0x4p-1076L : -0x0p+0L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-128ibm -0x4p-1076L : -0x0p+0L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-96-intel -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-96-intel -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-96-intel -0x8p-16448L : -0x0p+0L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-96-intel -0x8p-16448L : -0x0p+0L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-96-m68k -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-96-m68k -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-96-m68k -0x8p-16448L : -0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-96-m68k -0x8p-16448L : -0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-128 -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128 -0x8p-16448L : -0x8p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128 -0x8p-16448L : -0x7.fffffffffffcp-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-128 -0x8p-16448L : -0x7.fffffffffffcp-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-96-m68k -0x4p-16448L : -0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-96-m68k -0x4p-16448L : -0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-96-m68k -0x4p-16448L : -0x0p+0L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-96-m68k -0x4p-16448L : -0x0p+0L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-128 -0x4p-16448L : -0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128 -0x4p-16448L : -0x4p-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128 -0x4p-16448L : -0x3.fffffffffffcp-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-128 -0x4p-16448L : -0x3.fffffffffffcp-16448L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 downward ldbl-128 -0x4p-16496L : -0x4p-16496L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 tonearest ldbl-128 -0x4p-16496L : -0x4p-16496L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 towardzero ldbl-128 -0x4p-16496L : -0x0p+0L : inexact-ok underflow underflow-ok errno-erange-ok
= expm1 upward ldbl-128 -0x4p-16496L : -0x0p+0L : inexact-ok underflow underflow-ok errno-erange-ok
fma 1.0 2.0 3.0
= fma downward flt-32 0x1p+0f 0x2p+0f 0x3p+0f : 0x5p+0f :
= fma tonearest flt-32 0x1p+0f 0x2p+0f 0x3p+0f : 0x5p+0f :

6
sysdeps/i386/fpu/e_expl.S
View File

@ -122,6 +122,12 @@ ENTRY(IEEE754_EXPL)
normal. */
cmpl $0x0001, %eax
jge 2f
/* Force underflow and return the argument, to avoid wrong signs
of zero results from the code below in some rounding modes. */
fld %st
fmul %st
fstp %st
jmp 2f
#else
movzwl 4+8(%esp), %eax
andl $0x7fff, %eax

6
sysdeps/x86_64/fpu/e_expl.S
View File

@ -119,6 +119,12 @@ ENTRY(IEEE754_EXPL)
normal. */
cmpl $0x0001, %eax
jge 2f
/* Force underflow and return the argument, to avoid wrong signs
of zero results from the code below in some rounding modes. */
fld %st
fmul %st
fstp %st
jmp 2f
#else
movzwl 8+8(%rsp), %eax
andl $0x7fff, %eax