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Fix i386 atanhl spurious underflows (bug 18049).

Browse Source 
The i386 implementation of atanhl, for small arguments, does a
calculation that involves computing twice the square of the argument,
resulting in spurious underflows for some arguments.  This patch fixes
this by just returning the argument when its exponent is below -32,
with underflow being forced as needed for subnormal arguments.

Tested for x86 and x86_64.

	[BZ #18049]
	* sysdeps/i386/fpu/e_atanhl.S (__ieee754_atanhl): For exponents
	below -32, return the argument, with underflow if subnormal.
	* math/auto-libm-test-in: Add more tests of atanh.
	* math/auto-libm-test-out: Regenerated.
This commit is contained in:
Joseph Myers 2015-05-19 23:05:22 +00:00
parent 88ed594f5d
commit 526af54142
5 changed files with 352 additions and 4 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

8
ChangeLog
View File

@ -1,3 +1,11 @@
2015-05-19 Joseph Myers <joseph@codesourcery.com>
[BZ #18049]
* sysdeps/i386/fpu/e_atanhl.S (__ieee754_atanhl): For exponents
below -32, return the argument, with underflow if subnormal.
* math/auto-libm-test-in: Add more tests of atanh.
* math/auto-libm-test-out: Regenerated.
2015-05-19 Roland McGrath <roland@hack.frob.com>
[BZ #18434]

8
NEWS
View File

@ -15,10 +15,10 @@ Version 2.22
17631, 17692, 17711, 17715, 17776, 17779, 17792, 17836, 17912, 17916,
17930, 17932, 17944, 17949, 17964, 17965, 17967, 17969, 17978, 17987,
17991, 17996, 17998, 17999, 18007, 18019, 18020, 18029, 18030, 18032,
18036, 18038, 18039, 18042, 18043, 18046, 18047, 18068, 18080, 18093,
18100, 18104, 18110, 18111, 18125, 18128, 18138, 18185, 18196, 18197,
18206, 18210, 18211, 18217, 18220, 18221, 18247, 18287, 18319, 18333,
18346, 18397, 18409, 18418.
18036, 18038, 18039, 18042, 18043, 18046, 18047, 18049, 18068, 18080,
18093, 18100, 18104, 18110, 18111, 18125, 18128, 18138, 18185, 18196,
18197, 18206, 18210, 18211, 18217, 18220, 18221, 18247, 18287, 18319,
18333, 18346, 18397, 18409, 18418.
* Cache information can be queried via sysconf() function on s390 e.g. with
_SC_LEVEL1_ICACHE_SIZE as argument.

5
math/auto-libm-test-in
View File

@ -368,6 +368,11 @@ atanh 0x1p-57
atanh 0x1p-58
atanh 0x1p-59
atanh 0x1p-100
atanh -0x1p-100
atanh 0x1p-600
atanh -0x1p-600
atanh 0x1p-10000
atanh -0x1p-10000
atanh -0x6.e6c77p-20
atanh 0x3.2ca824p-4
atanh -0x1.cc1d66p-4

325
math/auto-libm-test-out
View File

@ -19883,6 +19883,331 @@ atanh 0x1p-100
= atanh tonearest ldbl-128ibm 0x1p-100L : 0x1p-100L : inexact-ok
= atanh towardzero ldbl-128ibm 0x1p-100L : 0x1p-100L : inexact-ok
= atanh upward ldbl-128ibm 0x1p-100L : 0x1.000000000000000000000000008p-100L : inexact-ok
atanh -0x1p-100
= atanh downward flt-32 -0x1p-100f : -0x1.000002p-100f : inexact-ok
= atanh tonearest flt-32 -0x1p-100f : -0x1p-100f : inexact-ok
= atanh towardzero flt-32 -0x1p-100f : -0x1p-100f : inexact-ok
= atanh upward flt-32 -0x1p-100f : -0x1p-100f : inexact-ok
= atanh downward dbl-64 -0x1p-100 : -0x1.0000000000001p-100 : inexact-ok
= atanh tonearest dbl-64 -0x1p-100 : -0x1p-100 : inexact-ok
= atanh towardzero dbl-64 -0x1p-100 : -0x1p-100 : inexact-ok
= atanh upward dbl-64 -0x1p-100 : -0x1p-100 : inexact-ok
= atanh downward ldbl-96-intel -0x1p-100L : -0x1.0000000000000002p-100L : inexact-ok
= atanh tonearest ldbl-96-intel -0x1p-100L : -0x1p-100L : inexact-ok
= atanh towardzero ldbl-96-intel -0x1p-100L : -0x1p-100L : inexact-ok
= atanh upward ldbl-96-intel -0x1p-100L : -0x1p-100L : inexact-ok
= atanh downward ldbl-96-m68k -0x1p-100L : -0x1.0000000000000002p-100L : inexact-ok
= atanh tonearest ldbl-96-m68k -0x1p-100L : -0x1p-100L : inexact-ok
= atanh towardzero ldbl-96-m68k -0x1p-100L : -0x1p-100L : inexact-ok
= atanh upward ldbl-96-m68k -0x1p-100L : -0x1p-100L : inexact-ok
= atanh downward ldbl-128 -0x1p-100L : -0x1.0000000000000000000000000001p-100L : inexact-ok
= atanh tonearest ldbl-128 -0x1p-100L : -0x1p-100L : inexact-ok
= atanh towardzero ldbl-128 -0x1p-100L : -0x1p-100L : inexact-ok
= atanh upward ldbl-128 -0x1p-100L : -0x1p-100L : inexact-ok
= atanh downward ldbl-128ibm -0x1p-100L : -0x1.000000000000000000000000008p-100L : inexact-ok
= atanh tonearest ldbl-128ibm -0x1p-100L : -0x1p-100L : inexact-ok
= atanh towardzero ldbl-128ibm -0x1p-100L : -0x1p-100L : inexact-ok
= atanh upward ldbl-128ibm -0x1p-100L : -0x1p-100L : inexact-ok
atanh 0x1p-600
= atanh downward flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= atanh tonearest flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= atanh towardzero flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= atanh upward flt-32 0x8p-152f : 0x1p-148f : inexact-ok underflow errno-erange-ok
= atanh downward dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= atanh tonearest dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= atanh towardzero dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= atanh upward dbl-64 0x8p-152 : 0x8.0000000000008p-152 : inexact-ok
= atanh downward ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-96-intel 0x8p-152L : 0x8.000000000000001p-152L : inexact-ok
= atanh downward ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-96-m68k 0x8p-152L : 0x8.000000000000001p-152L : inexact-ok
= atanh downward ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-128 0x8p-152L : 0x8.0000000000000000000000000008p-152L : inexact-ok
= atanh downward ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-128ibm 0x8p-152L : 0x8.00000000000000000000000004p-152L : inexact-ok
= atanh downward flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh tonearest flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh towardzero flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh upward flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh downward dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh tonearest dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh towardzero dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh upward dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh downward ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward dbl-64 0x1p-600 : 0x1p-600 : inexact-ok
= atanh tonearest dbl-64 0x1p-600 : 0x1p-600 : inexact-ok
= atanh towardzero dbl-64 0x1p-600 : 0x1p-600 : inexact-ok
= atanh upward dbl-64 0x1p-600 : 0x1.0000000000001p-600 : inexact-ok
= atanh downward ldbl-96-intel 0x1p-600L : 0x1p-600L : inexact-ok
= atanh tonearest ldbl-96-intel 0x1p-600L : 0x1p-600L : inexact-ok
= atanh towardzero ldbl-96-intel 0x1p-600L : 0x1p-600L : inexact-ok
= atanh upward ldbl-96-intel 0x1p-600L : 0x1.0000000000000002p-600L : inexact-ok
= atanh downward ldbl-96-m68k 0x1p-600L : 0x1p-600L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x1p-600L : 0x1p-600L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x1p-600L : 0x1p-600L : inexact-ok
= atanh upward ldbl-96-m68k 0x1p-600L : 0x1.0000000000000002p-600L : inexact-ok
= atanh downward ldbl-128 0x1p-600L : 0x1p-600L : inexact-ok
= atanh tonearest ldbl-128 0x1p-600L : 0x1p-600L : inexact-ok
= atanh towardzero ldbl-128 0x1p-600L : 0x1p-600L : inexact-ok
= atanh upward ldbl-128 0x1p-600L : 0x1.0000000000000000000000000001p-600L : inexact-ok
= atanh downward ldbl-128ibm 0x1p-600L : 0x1p-600L : inexact-ok
= atanh tonearest ldbl-128ibm 0x1p-600L : 0x1p-600L : inexact-ok
= atanh towardzero ldbl-128ibm 0x1p-600L : 0x1p-600L : inexact-ok
= atanh upward ldbl-128ibm 0x1p-600L : 0x1.000000000000000000000000008p-600L : inexact-ok
atanh -0x1p-600
= atanh downward flt-32 -0x0p+0f : -0x0p+0f : inexact-ok
= atanh tonearest flt-32 -0x0p+0f : -0x0p+0f : inexact-ok
= atanh towardzero flt-32 -0x0p+0f : -0x0p+0f : inexact-ok
= atanh upward flt-32 -0x0p+0f : -0x0p+0f : inexact-ok
= atanh downward dbl-64 -0x0p+0 : -0x0p+0 : inexact-ok
= atanh tonearest dbl-64 -0x0p+0 : -0x0p+0 : inexact-ok
= atanh towardzero dbl-64 -0x0p+0 : -0x0p+0 : inexact-ok
= atanh upward dbl-64 -0x0p+0 : -0x0p+0 : inexact-ok
= atanh downward ldbl-96-intel -0x0p+0L : -0x0p+0L : inexact-ok
= atanh tonearest ldbl-96-intel -0x0p+0L : -0x0p+0L : inexact-ok
= atanh towardzero ldbl-96-intel -0x0p+0L : -0x0p+0L : inexact-ok
= atanh upward ldbl-96-intel -0x0p+0L : -0x0p+0L : inexact-ok
= atanh downward ldbl-96-m68k -0x0p+0L : -0x0p+0L : inexact-ok
= atanh tonearest ldbl-96-m68k -0x0p+0L : -0x0p+0L : inexact-ok
= atanh towardzero ldbl-96-m68k -0x0p+0L : -0x0p+0L : inexact-ok
= atanh upward ldbl-96-m68k -0x0p+0L : -0x0p+0L : inexact-ok
= atanh downward ldbl-128 -0x0p+0L : -0x0p+0L : inexact-ok
= atanh tonearest ldbl-128 -0x0p+0L : -0x0p+0L : inexact-ok
= atanh towardzero ldbl-128 -0x0p+0L : -0x0p+0L : inexact-ok
= atanh upward ldbl-128 -0x0p+0L : -0x0p+0L : inexact-ok
= atanh downward ldbl-128ibm -0x0p+0L : -0x0p+0L : inexact-ok
= atanh tonearest ldbl-128ibm -0x0p+0L : -0x0p+0L : inexact-ok
= atanh towardzero ldbl-128ibm -0x0p+0L : -0x0p+0L : inexact-ok
= atanh upward ldbl-128ibm -0x0p+0L : -0x0p+0L : inexact-ok
= atanh downward flt-32 -0x8p-152f : -0x1p-148f : inexact-ok underflow errno-erange-ok
= atanh tonearest flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow errno-erange-ok
= atanh towardzero flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow errno-erange-ok
= atanh upward flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow errno-erange-ok
= atanh downward dbl-64 -0x8p-152 : -0x8.0000000000008p-152 : inexact-ok
= atanh tonearest dbl-64 -0x8p-152 : -0x8p-152 : inexact-ok
= atanh towardzero dbl-64 -0x8p-152 : -0x8p-152 : inexact-ok
= atanh upward dbl-64 -0x8p-152 : -0x8p-152 : inexact-ok
= atanh downward ldbl-96-intel -0x8p-152L : -0x8.000000000000001p-152L : inexact-ok
= atanh tonearest ldbl-96-intel -0x8p-152L : -0x8p-152L : inexact-ok
= atanh towardzero ldbl-96-intel -0x8p-152L : -0x8p-152L : inexact-ok
= atanh upward ldbl-96-intel -0x8p-152L : -0x8p-152L : inexact-ok
= atanh downward ldbl-96-m68k -0x8p-152L : -0x8.000000000000001p-152L : inexact-ok
= atanh tonearest ldbl-96-m68k -0x8p-152L : -0x8p-152L : inexact-ok
= atanh towardzero ldbl-96-m68k -0x8p-152L : -0x8p-152L : inexact-ok
= atanh upward ldbl-96-m68k -0x8p-152L : -0x8p-152L : inexact-ok
= atanh downward ldbl-128 -0x8p-152L : -0x8.0000000000000000000000000008p-152L : inexact-ok
= atanh tonearest ldbl-128 -0x8p-152L : -0x8p-152L : inexact-ok
= atanh towardzero ldbl-128 -0x8p-152L : -0x8p-152L : inexact-ok
= atanh upward ldbl-128 -0x8p-152L : -0x8p-152L : inexact-ok
= atanh downward ldbl-128ibm -0x8p-152L : -0x8.00000000000000000000000004p-152L : inexact-ok
= atanh tonearest ldbl-128ibm -0x8p-152L : -0x8p-152L : inexact-ok
= atanh towardzero ldbl-128ibm -0x8p-152L : -0x8p-152L : inexact-ok
= atanh upward ldbl-128ibm -0x8p-152L : -0x8p-152L : inexact-ok
= atanh downward dbl-64 -0x1p-600 : -0x1.0000000000001p-600 : inexact-ok
= atanh tonearest dbl-64 -0x1p-600 : -0x1p-600 : inexact-ok
= atanh towardzero dbl-64 -0x1p-600 : -0x1p-600 : inexact-ok
= atanh upward dbl-64 -0x1p-600 : -0x1p-600 : inexact-ok
= atanh downward ldbl-96-intel -0x1p-600L : -0x1.0000000000000002p-600L : inexact-ok
= atanh tonearest ldbl-96-intel -0x1p-600L : -0x1p-600L : inexact-ok
= atanh towardzero ldbl-96-intel -0x1p-600L : -0x1p-600L : inexact-ok
= atanh upward ldbl-96-intel -0x1p-600L : -0x1p-600L : inexact-ok
= atanh downward ldbl-96-m68k -0x1p-600L : -0x1.0000000000000002p-600L : inexact-ok
= atanh tonearest ldbl-96-m68k -0x1p-600L : -0x1p-600L : inexact-ok
= atanh towardzero ldbl-96-m68k -0x1p-600L : -0x1p-600L : inexact-ok
= atanh upward ldbl-96-m68k -0x1p-600L : -0x1p-600L : inexact-ok
= atanh downward ldbl-128 -0x1p-600L : -0x1.0000000000000000000000000001p-600L : inexact-ok
= atanh tonearest ldbl-128 -0x1p-600L : -0x1p-600L : inexact-ok
= atanh towardzero ldbl-128 -0x1p-600L : -0x1p-600L : inexact-ok
= atanh upward ldbl-128 -0x1p-600L : -0x1p-600L : inexact-ok
= atanh downward ldbl-128ibm -0x1p-600L : -0x1.000000000000000000000000008p-600L : inexact-ok
= atanh tonearest ldbl-128ibm -0x1p-600L : -0x1p-600L : inexact-ok
= atanh towardzero ldbl-128ibm -0x1p-600L : -0x1p-600L : inexact-ok
= atanh upward ldbl-128ibm -0x1p-600L : -0x1p-600L : inexact-ok
atanh 0x1p-10000
= atanh downward flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= atanh tonearest flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= atanh towardzero flt-32 0x8p-152f : 0x8p-152f : inexact-ok underflow errno-erange-ok
= atanh upward flt-32 0x8p-152f : 0x1p-148f : inexact-ok underflow errno-erange-ok
= atanh downward dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= atanh tonearest dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= atanh towardzero dbl-64 0x8p-152 : 0x8p-152 : inexact-ok
= atanh upward dbl-64 0x8p-152 : 0x8.0000000000008p-152 : inexact-ok
= atanh downward ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-96-intel 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-96-intel 0x8p-152L : 0x8.000000000000001p-152L : inexact-ok
= atanh downward ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-96-m68k 0x8p-152L : 0x8.000000000000001p-152L : inexact-ok
= atanh downward ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-128 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-128 0x8p-152L : 0x8.0000000000000000000000000008p-152L : inexact-ok
= atanh downward ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= atanh tonearest ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= atanh towardzero ldbl-128ibm 0x8p-152L : 0x8p-152L : inexact-ok
= atanh upward ldbl-128ibm 0x8p-152L : 0x8.00000000000000000000000004p-152L : inexact-ok
= atanh downward flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh tonearest flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh towardzero flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh upward flt-32 0x0p+0f : 0x0p+0f : inexact-ok
= atanh downward dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh tonearest dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh towardzero dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh upward dbl-64 0x0p+0 : 0x0p+0 : inexact-ok
= atanh downward ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-96-intel 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-96-m68k 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-128 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh tonearest ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh towardzero ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh upward ldbl-128ibm 0x0p+0L : 0x0p+0L : inexact-ok
= atanh downward dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow errno-erange-ok
= atanh tonearest dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow errno-erange-ok
= atanh towardzero dbl-64 0x4p-1076 : 0x4p-1076 : inexact-ok underflow errno-erange-ok
= atanh upward dbl-64 0x4p-1076 : 0x8p-1076 : inexact-ok underflow errno-erange-ok
= atanh downward ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh tonearest ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh towardzero ldbl-96-intel 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh upward ldbl-96-intel 0x4p-1076L : 0x4.0000000000000008p-1076L : inexact-ok
= atanh downward ldbl-96-m68k 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh upward ldbl-96-m68k 0x4p-1076L : 0x4.0000000000000008p-1076L : inexact-ok
= atanh downward ldbl-128 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh tonearest ldbl-128 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh towardzero ldbl-128 0x4p-1076L : 0x4p-1076L : inexact-ok
= atanh upward ldbl-128 0x4p-1076L : 0x4.0000000000000000000000000004p-1076L : inexact-ok
= atanh downward ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow errno-erange-ok
= atanh tonearest ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow errno-erange-ok
= atanh towardzero ldbl-128ibm 0x4p-1076L : 0x4p-1076L : inexact-ok underflow errno-erange-ok
= atanh upward ldbl-128ibm 0x4p-1076L : 0x8p-1076L : inexact-ok underflow errno-erange-ok
= atanh downward ldbl-96-intel 0x1p-10000L : 0x1p-10000L : inexact-ok
= atanh tonearest ldbl-96-intel 0x1p-10000L : 0x1p-10000L : inexact-ok
= atanh towardzero ldbl-96-intel 0x1p-10000L : 0x1p-10000L : inexact-ok
= atanh upward ldbl-96-intel 0x1p-10000L : 0x1.0000000000000002p-10000L : inexact-ok
= atanh downward ldbl-96-m68k 0x1p-10000L : 0x1p-10000L : inexact-ok
= atanh tonearest ldbl-96-m68k 0x1p-10000L : 0x1p-10000L : inexact-ok
= atanh towardzero ldbl-96-m68k 0x1p-10000L : 0x1p-10000L : inexact-ok
= atanh upward ldbl-96-m68k 0x1p-10000L : 0x1.0000000000000002p-10000L : inexact-ok
= atanh downward ldbl-128 0x1p-10000L : 0x1p-10000L : inexact-ok
= atanh tonearest ldbl-128 0x1p-10000L : 0x1p-10000L : inexact-ok
= atanh towardzero ldbl-128 0x1p-10000L : 0x1p-10000L : inexact-ok
= atanh upward ldbl-128 0x1p-10000L : 0x1.0000000000000000000000000001p-10000L : inexact-ok
atanh -0x1p-10000
= atanh downward flt-32 -0x0p+0f : -0x0p+0f : inexact-ok
= atanh tonearest flt-32 -0x0p+0f : -0x0p+0f : inexact-ok
= atanh towardzero flt-32 -0x0p+0f : -0x0p+0f : inexact-ok
= atanh upward flt-32 -0x0p+0f : -0x0p+0f : inexact-ok
= atanh downward dbl-64 -0x0p+0 : -0x0p+0 : inexact-ok
= atanh tonearest dbl-64 -0x0p+0 : -0x0p+0 : inexact-ok
= atanh towardzero dbl-64 -0x0p+0 : -0x0p+0 : inexact-ok
= atanh upward dbl-64 -0x0p+0 : -0x0p+0 : inexact-ok
= atanh downward ldbl-96-intel -0x0p+0L : -0x0p+0L : inexact-ok
= atanh tonearest ldbl-96-intel -0x0p+0L : -0x0p+0L : inexact-ok
= atanh towardzero ldbl-96-intel -0x0p+0L : -0x0p+0L : inexact-ok
= atanh upward ldbl-96-intel -0x0p+0L : -0x0p+0L : inexact-ok
= atanh downward ldbl-96-m68k -0x0p+0L : -0x0p+0L : inexact-ok
= atanh tonearest ldbl-96-m68k -0x0p+0L : -0x0p+0L : inexact-ok
= atanh towardzero ldbl-96-m68k -0x0p+0L : -0x0p+0L : inexact-ok
= atanh upward ldbl-96-m68k -0x0p+0L : -0x0p+0L : inexact-ok
= atanh downward ldbl-128 -0x0p+0L : -0x0p+0L : inexact-ok
= atanh tonearest ldbl-128 -0x0p+0L : -0x0p+0L : inexact-ok
= atanh towardzero ldbl-128 -0x0p+0L : -0x0p+0L : inexact-ok
= atanh upward ldbl-128 -0x0p+0L : -0x0p+0L : inexact-ok
= atanh downward ldbl-128ibm -0x0p+0L : -0x0p+0L : inexact-ok
= atanh tonearest ldbl-128ibm -0x0p+0L : -0x0p+0L : inexact-ok
= atanh towardzero ldbl-128ibm -0x0p+0L : -0x0p+0L : inexact-ok
= atanh upward ldbl-128ibm -0x0p+0L : -0x0p+0L : inexact-ok
= atanh downward flt-32 -0x8p-152f : -0x1p-148f : inexact-ok underflow errno-erange-ok
= atanh tonearest flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow errno-erange-ok
= atanh towardzero flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow errno-erange-ok
= atanh upward flt-32 -0x8p-152f : -0x8p-152f : inexact-ok underflow errno-erange-ok
= atanh downward dbl-64 -0x8p-152 : -0x8.0000000000008p-152 : inexact-ok
= atanh tonearest dbl-64 -0x8p-152 : -0x8p-152 : inexact-ok
= atanh towardzero dbl-64 -0x8p-152 : -0x8p-152 : inexact-ok
= atanh upward dbl-64 -0x8p-152 : -0x8p-152 : inexact-ok
= atanh downward ldbl-96-intel -0x8p-152L : -0x8.000000000000001p-152L : inexact-ok
= atanh tonearest ldbl-96-intel -0x8p-152L : -0x8p-152L : inexact-ok
= atanh towardzero ldbl-96-intel -0x8p-152L : -0x8p-152L : inexact-ok
= atanh upward ldbl-96-intel -0x8p-152L : -0x8p-152L : inexact-ok
= atanh downward ldbl-96-m68k -0x8p-152L : -0x8.000000000000001p-152L : inexact-ok
= atanh tonearest ldbl-96-m68k -0x8p-152L : -0x8p-152L : inexact-ok
= atanh towardzero ldbl-96-m68k -0x8p-152L : -0x8p-152L : inexact-ok
= atanh upward ldbl-96-m68k -0x8p-152L : -0x8p-152L : inexact-ok
= atanh downward ldbl-128 -0x8p-152L : -0x8.0000000000000000000000000008p-152L : inexact-ok
= atanh tonearest ldbl-128 -0x8p-152L : -0x8p-152L : inexact-ok
= atanh towardzero ldbl-128 -0x8p-152L : -0x8p-152L : inexact-ok
= atanh upward ldbl-128 -0x8p-152L : -0x8p-152L : inexact-ok
= atanh downward ldbl-128ibm -0x8p-152L : -0x8.00000000000000000000000004p-152L : inexact-ok
= atanh tonearest ldbl-128ibm -0x8p-152L : -0x8p-152L : inexact-ok
= atanh towardzero ldbl-128ibm -0x8p-152L : -0x8p-152L : inexact-ok
= atanh upward ldbl-128ibm -0x8p-152L : -0x8p-152L : inexact-ok
= atanh downward dbl-64 -0x4p-1076 : -0x8p-1076 : inexact-ok underflow errno-erange-ok
= atanh tonearest dbl-64 -0x4p-1076 : -0x4p-1076 : inexact-ok underflow errno-erange-ok
= atanh towardzero dbl-64 -0x4p-1076 : -0x4p-1076 : inexact-ok underflow errno-erange-ok
= atanh upward dbl-64 -0x4p-1076 : -0x4p-1076 : inexact-ok underflow errno-erange-ok
= atanh downward ldbl-96-intel -0x4p-1076L : -0x4.0000000000000008p-1076L : inexact-ok
= atanh tonearest ldbl-96-intel -0x4p-1076L : -0x4p-1076L : inexact-ok
= atanh towardzero ldbl-96-intel -0x4p-1076L : -0x4p-1076L : inexact-ok
= atanh upward ldbl-96-intel -0x4p-1076L : -0x4p-1076L : inexact-ok
= atanh downward ldbl-96-m68k -0x4p-1076L : -0x4.0000000000000008p-1076L : inexact-ok
= atanh tonearest ldbl-96-m68k -0x4p-1076L : -0x4p-1076L : inexact-ok
= atanh towardzero ldbl-96-m68k -0x4p-1076L : -0x4p-1076L : inexact-ok
= atanh upward ldbl-96-m68k -0x4p-1076L : -0x4p-1076L : inexact-ok
= atanh downward ldbl-128 -0x4p-1076L : -0x4.0000000000000000000000000004p-1076L : inexact-ok
= atanh tonearest ldbl-128 -0x4p-1076L : -0x4p-1076L : inexact-ok
= atanh towardzero ldbl-128 -0x4p-1076L : -0x4p-1076L : inexact-ok
= atanh upward ldbl-128 -0x4p-1076L : -0x4p-1076L : inexact-ok
= atanh downward ldbl-128ibm -0x4p-1076L : -0x8p-1076L : inexact-ok underflow errno-erange-ok
= atanh tonearest ldbl-128ibm -0x4p-1076L : -0x4p-1076L : inexact-ok underflow errno-erange-ok
= atanh towardzero ldbl-128ibm -0x4p-1076L : -0x4p-1076L : inexact-ok underflow errno-erange-ok
= atanh upward ldbl-128ibm -0x4p-1076L : -0x4p-1076L : inexact-ok underflow errno-erange-ok
= atanh downward ldbl-96-intel -0x1p-10000L : -0x1.0000000000000002p-10000L : inexact-ok
= atanh tonearest ldbl-96-intel -0x1p-10000L : -0x1p-10000L : inexact-ok
= atanh towardzero ldbl-96-intel -0x1p-10000L : -0x1p-10000L : inexact-ok
= atanh upward ldbl-96-intel -0x1p-10000L : -0x1p-10000L : inexact-ok
= atanh downward ldbl-96-m68k -0x1p-10000L : -0x1.0000000000000002p-10000L : inexact-ok
= atanh tonearest ldbl-96-m68k -0x1p-10000L : -0x1p-10000L : inexact-ok
= atanh towardzero ldbl-96-m68k -0x1p-10000L : -0x1p-10000L : inexact-ok
= atanh upward ldbl-96-m68k -0x1p-10000L : -0x1p-10000L : inexact-ok
= atanh downward ldbl-128 -0x1p-10000L : -0x1.0000000000000000000000000001p-10000L : inexact-ok
= atanh tonearest ldbl-128 -0x1p-10000L : -0x1p-10000L : inexact-ok
= atanh towardzero ldbl-128 -0x1p-10000L : -0x1p-10000L : inexact-ok
= atanh upward ldbl-128 -0x1p-10000L : -0x1p-10000L : inexact-ok
atanh -0x6.e6c77p-20
= atanh downward flt-32 -0x6.e6c77p-20f : -0x6.e6c778p-20f : inexact-ok
= atanh tonearest flt-32 -0x6.e6c77p-20f : -0x6.e6c77p-20f : inexact-ok

10
sysdeps/i386/fpu/e_atanhl.S
View File

@ -56,6 +56,16 @@ ENTRY(__ieee754_atanhl)
andl $0x7fff, %eax
cmpl $0x7fff, %eax
je 5f
cmpl $0x3fdf, %eax
jge 7f
// Exponent below -32; return x, with underflow if subnormal.
fldt 4(%esp)
cmpl $0, %eax
jne 8f
fld %st(0)
fmul %st(0)
fstp %st(0)
8: ret
7:
#ifdef PIC