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GNU C Library master sources branch master updated. glibc-2.21-132-g1d9ab20
- From: jsm28 at sourceware dot org
- To: glibc-cvs at sourceware dot org
- Date: 26 Feb 2015 21:07:07 -0000
- Subject: GNU C Library master sources branch master updated. glibc-2.21-132-g1d9ab20
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http://sourceware.org/git/gitweb.cgi?p=glibc.git;a=commitdiff;h=1d9ab20c14211abbf45514e63c190dfeec27fa5e
commit 1d9ab20c14211abbf45514e63c190dfeec27fa5e
Author: Joseph Myers <joseph@codesourcery.com>
Date: Thu Feb 26 21:06:34 2015 +0000
Fix ldbl-128/ldbl-128ibm acosl inaccuracy (bug 18038, bug 18039).
The ldbl-128 and ldbl-128ibm implementations of acosl have similar
bugs, using a threshold of 0x1p-57L to determine when they just return
pi/2. Since the result pi/2 - asinl (x) is roughly pi/2 - x for small
x, the relevant cut-off is actually x being < 0.5ulp of 1. This patch
fixes the implementations to use that cut-off and adds tests of small
acos arguments.
Tested for powerpc and mips64. Also tested for x86_64 and x86; no
ulps updates needed.
[BZ #18038]
[BZ #18039]
* sysdeps/ieee754/ldbl-128/e_acosl.c (__ieee754_acosl): Only
return pi/2 for arguments below 0x1p-113L.
* sysdeps/ieee754/ldbl-128ibm/e_acosl.c (__ieee754_acosl): Only
return pi/2 for arguments below 0x1p-106L.
* math/auto-libm-test-in: Add more tests of acos.
* math/auto-libm-test-out: Regenerated.
diff --git a/ChangeLog b/ChangeLog
index 1cc3de6..7f94e61 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,5 +1,14 @@
2015-02-26 Joseph Myers <joseph@codesourcery.com>
+ [BZ #18038]
+ [BZ #18039]
+ * sysdeps/ieee754/ldbl-128/e_acosl.c (__ieee754_acosl): Only
+ return pi/2 for arguments below 0x1p-113L.
+ * sysdeps/ieee754/ldbl-128ibm/e_acosl.c (__ieee754_acosl): Only
+ return pi/2 for arguments below 0x1p-106L.
+ * math/auto-libm-test-in: Add more tests of acos.
+ * math/auto-libm-test-out: Regenerated.
+
[BZ #16351]
* sysdeps/i386/fpu/e_asin.S (dbl_min): New object.
(MO): New macro.
diff --git a/NEWS b/NEWS
index 40959d3..24ebc36 100644
--- a/NEWS
+++ b/NEWS
@@ -12,7 +12,7 @@ Version 2.22
4719, 14841, 13064, 14094, 15319, 15467, 15790, 15969, 16351, 16560,
16783, 17269, 17523, 17569, 17588, 17792, 17836, 17912, 17916, 17932,
17944, 17949, 17964, 17965, 17967, 17969, 17978, 17987, 17991, 17996,
- 17998, 17999, 18019, 18020, 18029, 18030, 18032.
+ 17998, 17999, 18019, 18020, 18029, 18030, 18032, 18038, 18039.
* Character encoding and ctype tables were updated to Unicode 7.0.0, using
new generator scripts contributed by Pravin Satpute and Mike FABIAN (Red
diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in
index bd85805..19d5396 100644
--- a/math/auto-libm-test-in
+++ b/math/auto-libm-test-in
@@ -33,6 +33,37 @@ acos 0x0.ffffffffffffp0
acos -0x0.ffffffffffffp0
acos 0x0.ffffffffffffffffp0
acos -0x0.ffffffffffffffffp0
+acos 0x1p-5
+acos 0x1p-10
+acos 0x1p-15
+acos 0x1p-20
+acos 0x1p-25
+acos 0x1p-30
+acos 0x1p-35
+acos 0x1p-40
+acos 0x1p-45
+acos 0x1p-50
+acos 0x1p-55
+acos 0x1p-60
+acos 0x1p-65
+acos 0x1p-70
+acos 0x1p-75
+acos 0x1p-80
+acos 0x1p-85
+acos 0x1p-90
+acos 0x1p-95
+acos 0x1p-100
+acos 0x1p-105
+acos 0x1p-110
+acos 0x1p-115
+acos 0x1p-120
+acos -0x1p-5
+acos -0x1p-25
+acos -0x1p-45
+acos -0x1p-65
+acos -0x1p-85
+acos -0x1p-105
+acos -0x1p-125
acos min
acos -min
acos min_subnorm
diff --git a/math/auto-libm-test-out b/math/auto-libm-test-out
index 67804a5..27322e8 100644
--- a/math/auto-libm-test-out
+++ b/math/auto-libm-test-out
@@ -839,6 +839,781 @@ acos -0x0.ffffffffffffffffp0
= acos tonearest ldbl-128ibm -0xf.fffffffffffffffp-4L : 0x3.243f6a871b99226b1f5cc12532p+0L : inexact-ok
= acos towardzero ldbl-128ibm -0xf.fffffffffffffffp-4L : 0x3.243f6a871b99226b1f5cc12532p+0L : inexact-ok
= acos upward ldbl-128ibm -0xf.fffffffffffffffp-4L : 0x3.243f6a871b99226b1f5cc12533p+0L : inexact-ok
+acos 0x1p-5
+= acos downward flt-32 0x8p-8f : 0x1.8a1f5ep+0f : inexact-ok
+= acos tonearest flt-32 0x8p-8f : 0x1.8a1f6p+0f : inexact-ok
+= acos towardzero flt-32 0x8p-8f : 0x1.8a1f5ep+0f : inexact-ok
+= acos upward flt-32 0x8p-8f : 0x1.8a1f6p+0f : inexact-ok
+= acos downward dbl-64 0x8p-8 : 0x1.8a1f5fe55274ap+0 : inexact-ok
+= acos tonearest dbl-64 0x8p-8 : 0x1.8a1f5fe55274ap+0 : inexact-ok
+= acos towardzero dbl-64 0x8p-8 : 0x1.8a1f5fe55274ap+0 : inexact-ok
+= acos upward dbl-64 0x8p-8 : 0x1.8a1f5fe55274bp+0 : inexact-ok
+= acos downward ldbl-96-intel 0x8p-8L : 0x1.8a1f5fe55274a05ap+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x8p-8L : 0x1.8a1f5fe55274a05ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x8p-8L : 0x1.8a1f5fe55274a05ap+0L : inexact-ok
+= acos upward ldbl-96-intel 0x8p-8L : 0x1.8a1f5fe55274a05cp+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x8p-8L : 0x1.8a1f5fe55274a05ap+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x8p-8L : 0x1.8a1f5fe55274a05ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x8p-8L : 0x1.8a1f5fe55274a05ap+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x8p-8L : 0x1.8a1f5fe55274a05cp+0L : inexact-ok
+= acos downward ldbl-128 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a890fc3p+0L : inexact-ok
+= acos tonearest ldbl-128 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a890fc4p+0L : inexact-ok
+= acos towardzero ldbl-128 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a890fc3p+0L : inexact-ok
+= acos upward ldbl-128 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a890fc4p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a890f8p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a891p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a890f8p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x8p-8L : 0x1.8a1f5fe55274a05ad2c29a891p+0L : inexact-ok
+acos 0x1p-10
+= acos downward flt-32 0x4p-12f : 0x1.91dfb4p+0f : inexact-ok
+= acos tonearest flt-32 0x4p-12f : 0x1.91dfb6p+0f : inexact-ok
+= acos towardzero flt-32 0x4p-12f : 0x1.91dfb4p+0f : inexact-ok
+= acos upward flt-32 0x4p-12f : 0x1.91dfb6p+0f : inexact-ok
+= acos downward dbl-64 0x4p-12 : 0x1.91dfb5439826dp+0 : inexact-ok
+= acos tonearest dbl-64 0x4p-12 : 0x1.91dfb5439826dp+0 : inexact-ok
+= acos towardzero dbl-64 0x4p-12 : 0x1.91dfb5439826dp+0 : inexact-ok
+= acos upward dbl-64 0x4p-12 : 0x1.91dfb5439826ep+0 : inexact-ok
+= acos downward ldbl-96-intel 0x4p-12L : 0x1.91dfb5439826d4f2p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x4p-12L : 0x1.91dfb5439826d4f2p+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x4p-12L : 0x1.91dfb5439826d4f2p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x4p-12L : 0x1.91dfb5439826d4f4p+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x4p-12L : 0x1.91dfb5439826d4f2p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x4p-12L : 0x1.91dfb5439826d4f2p+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x4p-12L : 0x1.91dfb5439826d4f2p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x4p-12L : 0x1.91dfb5439826d4f4p+0L : inexact-ok
+= acos downward ldbl-128 0x4p-12L : 0x1.91dfb5439826d4f211e796c22ac2p+0L : inexact-ok
+= acos tonearest ldbl-128 0x4p-12L : 0x1.91dfb5439826d4f211e796c22ac3p+0L : inexact-ok
+= acos towardzero ldbl-128 0x4p-12L : 0x1.91dfb5439826d4f211e796c22ac2p+0L : inexact-ok
+= acos upward ldbl-128 0x4p-12L : 0x1.91dfb5439826d4f211e796c22ac3p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x4p-12L : 0x1.91dfb5439826d4f211e796c22a8p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x4p-12L : 0x1.91dfb5439826d4f211e796c22bp+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x4p-12L : 0x1.91dfb5439826d4f211e796c22a8p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x4p-12L : 0x1.91dfb5439826d4f211e796c22bp+0L : inexact-ok
+acos 0x1p-15
+= acos downward flt-32 0x2p-16f : 0x1.921db4p+0f : inexact-ok
+= acos tonearest flt-32 0x2p-16f : 0x1.921db6p+0f : inexact-ok
+= acos towardzero flt-32 0x2p-16f : 0x1.921db4p+0f : inexact-ok
+= acos upward flt-32 0x2p-16f : 0x1.921db6p+0f : inexact-ok
+= acos downward dbl-64 0x2p-16 : 0x1.921db54442d02p+0 : inexact-ok
+= acos tonearest dbl-64 0x2p-16 : 0x1.921db54442d03p+0 : inexact-ok
+= acos towardzero dbl-64 0x2p-16 : 0x1.921db54442d02p+0 : inexact-ok
+= acos upward dbl-64 0x2p-16 : 0x1.921db54442d03p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x2p-16L : 0x1.921db54442d02f14p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x2p-16L : 0x1.921db54442d02f14p+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x2p-16L : 0x1.921db54442d02f14p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x2p-16L : 0x1.921db54442d02f16p+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x2p-16L : 0x1.921db54442d02f14p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x2p-16L : 0x1.921db54442d02f14p+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x2p-16L : 0x1.921db54442d02f14p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x2p-16L : 0x1.921db54442d02f16p+0L : inexact-ok
+= acos downward ldbl-128 0x2p-16L : 0x1.921db54442d02f143435095b45f6p+0L : inexact-ok
+= acos tonearest ldbl-128 0x2p-16L : 0x1.921db54442d02f143435095b45f7p+0L : inexact-ok
+= acos towardzero ldbl-128 0x2p-16L : 0x1.921db54442d02f143435095b45f6p+0L : inexact-ok
+= acos upward ldbl-128 0x2p-16L : 0x1.921db54442d02f143435095b45f7p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x2p-16L : 0x1.921db54442d02f143435095b458p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x2p-16L : 0x1.921db54442d02f143435095b46p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x2p-16L : 0x1.921db54442d02f143435095b458p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x2p-16L : 0x1.921db54442d02f143435095b46p+0L : inexact-ok
+acos 0x1p-20
+= acos downward flt-32 0x1p-20f : 0x1.921fa4p+0f : inexact-ok
+= acos tonearest flt-32 0x1p-20f : 0x1.921fa6p+0f : inexact-ok
+= acos towardzero flt-32 0x1p-20f : 0x1.921fa4p+0f : inexact-ok
+= acos upward flt-32 0x1p-20f : 0x1.921fa6p+0f : inexact-ok
+= acos downward dbl-64 0x1p-20 : 0x1.921fa54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x1p-20 : 0x1.921fa54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x1p-20 : 0x1.921fa54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x1p-20 : 0x1.921fa54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x1p-20L : 0x1.921fa54442d18466p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x1p-20L : 0x1.921fa54442d18466p+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x1p-20L : 0x1.921fa54442d18466p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x1p-20L : 0x1.921fa54442d18468p+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x1p-20L : 0x1.921fa54442d18466p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x1p-20L : 0x1.921fa54442d18466p+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x1p-20L : 0x1.921fa54442d18466p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x1p-20L : 0x1.921fa54442d18468p+0L : inexact-ok
+= acos downward ldbl-128 0x1p-20L : 0x1.921fa54442d18466dee21a6c55dap+0L : inexact-ok
+= acos tonearest ldbl-128 0x1p-20L : 0x1.921fa54442d18466dee21a6c55dap+0L : inexact-ok
+= acos towardzero ldbl-128 0x1p-20L : 0x1.921fa54442d18466dee21a6c55dap+0L : inexact-ok
+= acos upward ldbl-128 0x1p-20L : 0x1.921fa54442d18466dee21a6c55dbp+0L : inexact-ok
+= acos downward ldbl-128ibm 0x1p-20L : 0x1.921fa54442d18466dee21a6c558p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x1p-20L : 0x1.921fa54442d18466dee21a6c56p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x1p-20L : 0x1.921fa54442d18466dee21a6c558p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x1p-20L : 0x1.921fa54442d18466dee21a6c56p+0L : inexact-ok
+acos 0x1p-25
+= acos downward flt-32 0x8p-28f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x8p-28f : 0x1.921fb4p+0f : inexact-ok
+= acos towardzero flt-32 0x8p-28f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x8p-28f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x8p-28 : 0x1.921fb4c442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x8p-28 : 0x1.921fb4c442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x8p-28 : 0x1.921fb4c442d18p+0 : inexact-ok
+= acos upward dbl-64 0x8p-28 : 0x1.921fb4c442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x8p-28L : 0x1.921fb4c442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x8p-28L : 0x1.921fb4c442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x8p-28L : 0x1.921fb4c442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x8p-28L : 0x1.921fb4c442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x8p-28L : 0x1.921fb4c442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x8p-28L : 0x1.921fb4c442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x8p-28L : 0x1.921fb4c442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x8p-28L : 0x1.921fb4c442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x8p-28L : 0x1.921fb4c442d1846989876fc1ac62p+0L : inexact-ok
+= acos tonearest ldbl-128 0x8p-28L : 0x1.921fb4c442d1846989876fc1ac63p+0L : inexact-ok
+= acos towardzero ldbl-128 0x8p-28L : 0x1.921fb4c442d1846989876fc1ac62p+0L : inexact-ok
+= acos upward ldbl-128 0x8p-28L : 0x1.921fb4c442d1846989876fc1ac63p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x8p-28L : 0x1.921fb4c442d1846989876fc1acp+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x8p-28L : 0x1.921fb4c442d1846989876fc1ac8p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x8p-28L : 0x1.921fb4c442d1846989876fc1acp+0L : inexact-ok
+= acos upward ldbl-128ibm 0x8p-28L : 0x1.921fb4c442d1846989876fc1ac8p+0L : inexact-ok
+acos 0x1p-30
+= acos downward flt-32 0x4p-32f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x4p-32f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x4p-32f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x4p-32f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x4p-32 : 0x1.921fb54042d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x4p-32 : 0x1.921fb54042d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x4p-32 : 0x1.921fb54042d18p+0 : inexact-ok
+= acos upward dbl-64 0x4p-32 : 0x1.921fb54042d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x4p-32L : 0x1.921fb54042d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x4p-32L : 0x1.921fb54042d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x4p-32L : 0x1.921fb54042d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x4p-32L : 0x1.921fb54042d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x4p-32L : 0x1.921fb54042d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x4p-32L : 0x1.921fb54042d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x4p-32L : 0x1.921fb54042d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x4p-32L : 0x1.921fb54042d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x4p-32L : 0x1.921fb54042d18469898cc50c570dp+0L : inexact-ok
+= acos tonearest ldbl-128 0x4p-32L : 0x1.921fb54042d18469898cc50c570ep+0L : inexact-ok
+= acos towardzero ldbl-128 0x4p-32L : 0x1.921fb54042d18469898cc50c570dp+0L : inexact-ok
+= acos upward ldbl-128 0x4p-32L : 0x1.921fb54042d18469898cc50c570ep+0L : inexact-ok
+= acos downward ldbl-128ibm 0x4p-32L : 0x1.921fb54042d18469898cc50c57p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x4p-32L : 0x1.921fb54042d18469898cc50c57p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x4p-32L : 0x1.921fb54042d18469898cc50c57p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x4p-32L : 0x1.921fb54042d18469898cc50c578p+0L : inexact-ok
+acos 0x1p-35
+= acos downward flt-32 0x2p-36f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x2p-36f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x2p-36f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x2p-36f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x2p-36 : 0x1.921fb54422d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x2p-36 : 0x1.921fb54422d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x2p-36 : 0x1.921fb54422d18p+0 : inexact-ok
+= acos upward dbl-64 0x2p-36 : 0x1.921fb54422d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x2p-36L : 0x1.921fb54422d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x2p-36L : 0x1.921fb54422d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x2p-36L : 0x1.921fb54422d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x2p-36L : 0x1.921fb54422d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x2p-36L : 0x1.921fb54422d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x2p-36L : 0x1.921fb54422d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x2p-36L : 0x1.921fb54422d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x2p-36L : 0x1.921fb54422d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x2p-36L : 0x1.921fb54422d18469898cc51701a2p+0L : inexact-ok
+= acos tonearest ldbl-128 0x2p-36L : 0x1.921fb54422d18469898cc51701a3p+0L : inexact-ok
+= acos towardzero ldbl-128 0x2p-36L : 0x1.921fb54422d18469898cc51701a2p+0L : inexact-ok
+= acos upward ldbl-128 0x2p-36L : 0x1.921fb54422d18469898cc51701a3p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x2p-36L : 0x1.921fb54422d18469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x2p-36L : 0x1.921fb54422d18469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x2p-36L : 0x1.921fb54422d18469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x2p-36L : 0x1.921fb54422d18469898cc51702p+0L : inexact-ok
+acos 0x1p-40
+= acos downward flt-32 0x1p-40f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x1p-40f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x1p-40f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x1p-40f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x1p-40 : 0x1.921fb54441d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x1p-40 : 0x1.921fb54441d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x1p-40 : 0x1.921fb54441d18p+0 : inexact-ok
+= acos upward dbl-64 0x1p-40 : 0x1.921fb54441d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x1p-40L : 0x1.921fb54441d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x1p-40L : 0x1.921fb54441d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x1p-40L : 0x1.921fb54441d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x1p-40L : 0x1.921fb54441d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x1p-40L : 0x1.921fb54441d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x1p-40L : 0x1.921fb54441d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x1p-40L : 0x1.921fb54441d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x1p-40L : 0x1.921fb54441d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x1p-40L : 0x1.921fb54441d18469898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x1p-40L : 0x1.921fb54441d18469898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x1p-40L : 0x1.921fb54441d18469898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x1p-40L : 0x1.921fb54441d18469898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x1p-40L : 0x1.921fb54441d18469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x1p-40L : 0x1.921fb54441d18469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x1p-40L : 0x1.921fb54441d18469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x1p-40L : 0x1.921fb54441d18469898cc51702p+0L : inexact-ok
+acos 0x1p-45
+= acos downward flt-32 0x8p-48f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x8p-48f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x8p-48f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x8p-48f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x8p-48 : 0x1.921fb54442c98p+0 : inexact-ok
+= acos tonearest dbl-64 0x8p-48 : 0x1.921fb54442c98p+0 : inexact-ok
+= acos towardzero dbl-64 0x8p-48 : 0x1.921fb54442c98p+0 : inexact-ok
+= acos upward dbl-64 0x8p-48 : 0x1.921fb54442c99p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x8p-48L : 0x1.921fb54442c98468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x8p-48L : 0x1.921fb54442c9846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x8p-48L : 0x1.921fb54442c98468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x8p-48L : 0x1.921fb54442c9846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x8p-48L : 0x1.921fb54442c98468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x8p-48L : 0x1.921fb54442c9846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x8p-48L : 0x1.921fb54442c98468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x8p-48L : 0x1.921fb54442c9846ap+0L : inexact-ok
+= acos downward ldbl-128 0x8p-48L : 0x1.921fb54442c98469898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x8p-48L : 0x1.921fb54442c98469898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x8p-48L : 0x1.921fb54442c98469898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x8p-48L : 0x1.921fb54442c98469898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x8p-48L : 0x1.921fb54442c98469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x8p-48L : 0x1.921fb54442c98469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x8p-48L : 0x1.921fb54442c98469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x8p-48L : 0x1.921fb54442c98469898cc51702p+0L : inexact-ok
+acos 0x1p-50
+= acos downward flt-32 0x4p-52f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x4p-52f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x4p-52f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x4p-52f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x4p-52 : 0x1.921fb54442d14p+0 : inexact-ok
+= acos tonearest dbl-64 0x4p-52 : 0x1.921fb54442d14p+0 : inexact-ok
+= acos towardzero dbl-64 0x4p-52 : 0x1.921fb54442d14p+0 : inexact-ok
+= acos upward dbl-64 0x4p-52 : 0x1.921fb54442d15p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x4p-52L : 0x1.921fb54442d14468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x4p-52L : 0x1.921fb54442d1446ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x4p-52L : 0x1.921fb54442d14468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x4p-52L : 0x1.921fb54442d1446ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x4p-52L : 0x1.921fb54442d14468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x4p-52L : 0x1.921fb54442d1446ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x4p-52L : 0x1.921fb54442d14468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x4p-52L : 0x1.921fb54442d1446ap+0L : inexact-ok
+= acos downward ldbl-128 0x4p-52L : 0x1.921fb54442d14469898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x4p-52L : 0x1.921fb54442d14469898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x4p-52L : 0x1.921fb54442d14469898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x4p-52L : 0x1.921fb54442d14469898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x4p-52L : 0x1.921fb54442d14469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x4p-52L : 0x1.921fb54442d14469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x4p-52L : 0x1.921fb54442d14469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x4p-52L : 0x1.921fb54442d14469898cc51702p+0L : inexact-ok
+acos 0x1p-55
+= acos downward flt-32 0x2p-56f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x2p-56f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x2p-56f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x2p-56f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x2p-56 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x2p-56 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x2p-56 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x2p-56 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x2p-56L : 0x1.921fb54442d18268p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x2p-56L : 0x1.921fb54442d1826ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x2p-56L : 0x1.921fb54442d18268p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x2p-56L : 0x1.921fb54442d1826ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x2p-56L : 0x1.921fb54442d18268p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x2p-56L : 0x1.921fb54442d1826ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x2p-56L : 0x1.921fb54442d18268p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x2p-56L : 0x1.921fb54442d1826ap+0L : inexact-ok
+= acos downward ldbl-128 0x2p-56L : 0x1.921fb54442d18269898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x2p-56L : 0x1.921fb54442d18269898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x2p-56L : 0x1.921fb54442d18269898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x2p-56L : 0x1.921fb54442d18269898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x2p-56L : 0x1.921fb54442d18269898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x2p-56L : 0x1.921fb54442d18269898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x2p-56L : 0x1.921fb54442d18269898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x2p-56L : 0x1.921fb54442d18269898cc51702p+0L : inexact-ok
+acos 0x1p-60
+= acos downward flt-32 0x1p-60f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x1p-60f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x1p-60f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x1p-60f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x1p-60 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x1p-60 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x1p-60 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x1p-60 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x1p-60L : 0x1.921fb54442d18458p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x1p-60L : 0x1.921fb54442d1845ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x1p-60L : 0x1.921fb54442d18458p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x1p-60L : 0x1.921fb54442d1845ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x1p-60L : 0x1.921fb54442d18458p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x1p-60L : 0x1.921fb54442d1845ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x1p-60L : 0x1.921fb54442d18458p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x1p-60L : 0x1.921fb54442d1845ap+0L : inexact-ok
+= acos downward ldbl-128 0x1p-60L : 0x1.921fb54442d18459898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x1p-60L : 0x1.921fb54442d18459898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x1p-60L : 0x1.921fb54442d18459898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x1p-60L : 0x1.921fb54442d18459898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x1p-60L : 0x1.921fb54442d18459898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x1p-60L : 0x1.921fb54442d18459898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x1p-60L : 0x1.921fb54442d18459898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x1p-60L : 0x1.921fb54442d18459898cc51702p+0L : inexact-ok
+acos 0x1p-65
+= acos downward flt-32 0x8p-68f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x8p-68f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x8p-68f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x8p-68f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x8p-68 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x8p-68 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x8p-68 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x8p-68 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x8p-68L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x8p-68L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x8p-68L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x8p-68L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x8p-68L : 0x1.921fb54442d18469098cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x8p-68L : 0x1.921fb54442d18469098cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x8p-68L : 0x1.921fb54442d18469098cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x8p-68L : 0x1.921fb54442d18469098cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x8p-68L : 0x1.921fb54442d18469098cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x8p-68L : 0x1.921fb54442d18469098cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x8p-68L : 0x1.921fb54442d18469098cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x8p-68L : 0x1.921fb54442d18469098cc51702p+0L : inexact-ok
+acos 0x1p-70
+= acos downward flt-32 0x4p-72f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x4p-72f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x4p-72f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x4p-72f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x4p-72 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x4p-72 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x4p-72 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x4p-72 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x4p-72L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x4p-72L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x4p-72L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x4p-72L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x4p-72L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x4p-72L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x4p-72L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x4p-72L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x4p-72L : 0x1.921fb54442d18469858cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x4p-72L : 0x1.921fb54442d18469858cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x4p-72L : 0x1.921fb54442d18469858cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x4p-72L : 0x1.921fb54442d18469858cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x4p-72L : 0x1.921fb54442d18469858cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x4p-72L : 0x1.921fb54442d18469858cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x4p-72L : 0x1.921fb54442d18469858cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x4p-72L : 0x1.921fb54442d18469858cc51702p+0L : inexact-ok
+acos 0x1p-75
+= acos downward flt-32 0x2p-76f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x2p-76f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x2p-76f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x2p-76f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x2p-76 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x2p-76 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x2p-76 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x2p-76 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x2p-76L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x2p-76L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x2p-76L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x2p-76L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x2p-76L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x2p-76L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x2p-76L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x2p-76L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x2p-76L : 0x1.921fb54442d18469896cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x2p-76L : 0x1.921fb54442d18469896cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x2p-76L : 0x1.921fb54442d18469896cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x2p-76L : 0x1.921fb54442d18469896cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x2p-76L : 0x1.921fb54442d18469896cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x2p-76L : 0x1.921fb54442d18469896cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x2p-76L : 0x1.921fb54442d18469896cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x2p-76L : 0x1.921fb54442d18469896cc51702p+0L : inexact-ok
+acos 0x1p-80
+= acos downward flt-32 0x1p-80f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x1p-80f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x1p-80f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x1p-80f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x1p-80 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x1p-80 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x1p-80 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x1p-80 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x1p-80L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x1p-80L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x1p-80L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x1p-80L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x1p-80L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x1p-80L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x1p-80L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x1p-80L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x1p-80L : 0x1.921fb54442d18469898bc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x1p-80L : 0x1.921fb54442d18469898bc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x1p-80L : 0x1.921fb54442d18469898bc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x1p-80L : 0x1.921fb54442d18469898bc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x1p-80L : 0x1.921fb54442d18469898bc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x1p-80L : 0x1.921fb54442d18469898bc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x1p-80L : 0x1.921fb54442d18469898bc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x1p-80L : 0x1.921fb54442d18469898bc51702p+0L : inexact-ok
+acos 0x1p-85
+= acos downward flt-32 0x8p-88f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x8p-88f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x8p-88f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x8p-88f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x8p-88 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x8p-88 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x8p-88 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x8p-88 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x8p-88L : 0x1.921fb54442d18469898cbd1701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x8p-88L : 0x1.921fb54442d18469898cbd1701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x8p-88L : 0x1.921fb54442d18469898cbd1701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x8p-88L : 0x1.921fb54442d18469898cbd1701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x8p-88L : 0x1.921fb54442d18469898cbd17018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x8p-88L : 0x1.921fb54442d18469898cbd17018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x8p-88L : 0x1.921fb54442d18469898cbd17018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x8p-88L : 0x1.921fb54442d18469898cbd1702p+0L : inexact-ok
+acos 0x1p-90
+= acos downward flt-32 0x4p-92f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x4p-92f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x4p-92f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x4p-92f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x4p-92 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x4p-92 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x4p-92 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x4p-92 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x4p-92L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x4p-92L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x4p-92L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x4p-92L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x4p-92L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x4p-92L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x4p-92L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x4p-92L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x4p-92L : 0x1.921fb54442d18469898cc4d701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x4p-92L : 0x1.921fb54442d18469898cc4d701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x4p-92L : 0x1.921fb54442d18469898cc4d701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x4p-92L : 0x1.921fb54442d18469898cc4d701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x4p-92L : 0x1.921fb54442d18469898cc4d7018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x4p-92L : 0x1.921fb54442d18469898cc4d7018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x4p-92L : 0x1.921fb54442d18469898cc4d7018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x4p-92L : 0x1.921fb54442d18469898cc4d702p+0L : inexact-ok
+acos 0x1p-95
+= acos downward flt-32 0x2p-96f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x2p-96f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x2p-96f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x2p-96f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x2p-96 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x2p-96 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x2p-96 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x2p-96 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x2p-96L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x2p-96L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x2p-96L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x2p-96L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x2p-96L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x2p-96L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x2p-96L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x2p-96L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x2p-96L : 0x1.921fb54442d18469898cc51501b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x2p-96L : 0x1.921fb54442d18469898cc51501b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x2p-96L : 0x1.921fb54442d18469898cc51501b8p+0L : inexact-ok
+= acos upward ldbl-128 0x2p-96L : 0x1.921fb54442d18469898cc51501b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x2p-96L : 0x1.921fb54442d18469898cc515018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x2p-96L : 0x1.921fb54442d18469898cc515018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x2p-96L : 0x1.921fb54442d18469898cc515018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x2p-96L : 0x1.921fb54442d18469898cc51502p+0L : inexact-ok
+acos 0x1p-100
+= acos downward flt-32 0x1p-100f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x1p-100f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x1p-100f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x1p-100f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x1p-100 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x1p-100 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x1p-100 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x1p-100 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x1p-100L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x1p-100L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x1p-100L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x1p-100L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x1p-100L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x1p-100L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x1p-100L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x1p-100L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x1p-100L : 0x1.921fb54442d18469898cc516f1b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x1p-100L : 0x1.921fb54442d18469898cc516f1b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x1p-100L : 0x1.921fb54442d18469898cc516f1b8p+0L : inexact-ok
+= acos upward ldbl-128 0x1p-100L : 0x1.921fb54442d18469898cc516f1b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x1p-100L : 0x1.921fb54442d18469898cc516f18p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x1p-100L : 0x1.921fb54442d18469898cc516f18p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x1p-100L : 0x1.921fb54442d18469898cc516f18p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x1p-100L : 0x1.921fb54442d18469898cc516f2p+0L : inexact-ok
+acos 0x1p-105
+= acos downward flt-32 0x8p-108f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x8p-108f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x8p-108f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x8p-108f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x8p-108 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x8p-108 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x8p-108 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x8p-108 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x8p-108L : 0x1.921fb54442d18469898cc5170138p+0L : inexact-ok
+= acos tonearest ldbl-128 0x8p-108L : 0x1.921fb54442d18469898cc5170138p+0L : inexact-ok
+= acos towardzero ldbl-128 0x8p-108L : 0x1.921fb54442d18469898cc5170138p+0L : inexact-ok
+= acos upward ldbl-128 0x8p-108L : 0x1.921fb54442d18469898cc5170139p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x8p-108L : 0x1.921fb54442d18469898cc51701p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x8p-108L : 0x1.921fb54442d18469898cc51701p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x8p-108L : 0x1.921fb54442d18469898cc51701p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x8p-108L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+acos 0x1p-110
+= acos downward flt-32 0x4p-112f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x4p-112f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x4p-112f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x4p-112f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x4p-112 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x4p-112 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x4p-112 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x4p-112 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x4p-112L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x4p-112L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x4p-112L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x4p-112L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x4p-112L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x4p-112L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x4p-112L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x4p-112L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x4p-112L : 0x1.921fb54442d18469898cc51701b4p+0L : inexact-ok
+= acos tonearest ldbl-128 0x4p-112L : 0x1.921fb54442d18469898cc51701b4p+0L : inexact-ok
+= acos towardzero ldbl-128 0x4p-112L : 0x1.921fb54442d18469898cc51701b4p+0L : inexact-ok
+= acos upward ldbl-128 0x4p-112L : 0x1.921fb54442d18469898cc51701b5p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x4p-112L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x4p-112L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x4p-112L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x4p-112L : 0x1.921fb54442d18469898cc51702p+0L : inexact-ok
+acos 0x1p-115
+= acos downward flt-32 0x2p-116f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x2p-116f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x2p-116f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x2p-116f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x2p-116 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x2p-116 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x2p-116 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x2p-116 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x2p-116L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x2p-116L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x2p-116L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x2p-116L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x2p-116L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x2p-116L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x2p-116L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x2p-116L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x2p-116L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x2p-116L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x2p-116L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x2p-116L : 0x1.921fb54442d18469898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x2p-116L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x2p-116L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x2p-116L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x2p-116L : 0x1.921fb54442d18469898cc51702p+0L : inexact-ok
+acos 0x1p-120
+= acos downward flt-32 0x1p-120f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 0x1p-120f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 0x1p-120f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 0x1p-120f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 0x1p-120 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 0x1p-120 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 0x1p-120 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 0x1p-120 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel 0x1p-120L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel 0x1p-120L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel 0x1p-120L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel 0x1p-120L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k 0x1p-120L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k 0x1p-120L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k 0x1p-120L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k 0x1p-120L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 0x1p-120L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 0x1p-120L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 0x1p-120L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 0x1p-120L : 0x1.921fb54442d18469898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm 0x1p-120L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm 0x1p-120L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm 0x1p-120L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm 0x1p-120L : 0x1.921fb54442d18469898cc51702p+0L : inexact-ok
+acos -0x1p-5
+= acos downward flt-32 -0x8p-8f : 0x1.9a200ap+0f : inexact-ok
+= acos tonearest flt-32 -0x8p-8f : 0x1.9a200ap+0f : inexact-ok
+= acos towardzero flt-32 -0x8p-8f : 0x1.9a200ap+0f : inexact-ok
+= acos upward flt-32 -0x8p-8f : 0x1.9a200cp+0f : inexact-ok
+= acos downward dbl-64 -0x8p-8 : 0x1.9a200aa3332e6p+0 : inexact-ok
+= acos tonearest dbl-64 -0x8p-8 : 0x1.9a200aa3332e7p+0 : inexact-ok
+= acos towardzero dbl-64 -0x8p-8 : 0x1.9a200aa3332e6p+0 : inexact-ok
+= acos upward dbl-64 -0x8p-8 : 0x1.9a200aa3332e7p+0 : inexact-ok
+= acos downward ldbl-96-intel -0x8p-8L : 0x1.9a200aa3332e6878p+0L : inexact-ok
+= acos tonearest ldbl-96-intel -0x8p-8L : 0x1.9a200aa3332e6878p+0L : inexact-ok
+= acos towardzero ldbl-96-intel -0x8p-8L : 0x1.9a200aa3332e6878p+0L : inexact-ok
+= acos upward ldbl-96-intel -0x8p-8L : 0x1.9a200aa3332e687ap+0L : inexact-ok
+= acos downward ldbl-96-m68k -0x8p-8L : 0x1.9a200aa3332e6878p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k -0x8p-8L : 0x1.9a200aa3332e6878p+0L : inexact-ok
+= acos towardzero ldbl-96-m68k -0x8p-8L : 0x1.9a200aa3332e6878p+0L : inexact-ok
+= acos upward ldbl-96-m68k -0x8p-8L : 0x1.9a200aa3332e687ap+0L : inexact-ok
+= acos downward ldbl-128 -0x8p-8L : 0x1.9a200aa3332e68784056efa4f3acp+0L : inexact-ok
+= acos tonearest ldbl-128 -0x8p-8L : 0x1.9a200aa3332e68784056efa4f3adp+0L : inexact-ok
+= acos towardzero ldbl-128 -0x8p-8L : 0x1.9a200aa3332e68784056efa4f3acp+0L : inexact-ok
+= acos upward ldbl-128 -0x8p-8L : 0x1.9a200aa3332e68784056efa4f3adp+0L : inexact-ok
+= acos downward ldbl-128ibm -0x8p-8L : 0x1.9a200aa3332e68784056efa4f38p+0L : inexact-ok
+= acos tonearest ldbl-128ibm -0x8p-8L : 0x1.9a200aa3332e68784056efa4f38p+0L : inexact-ok
+= acos towardzero ldbl-128ibm -0x8p-8L : 0x1.9a200aa3332e68784056efa4f38p+0L : inexact-ok
+= acos upward ldbl-128ibm -0x8p-8L : 0x1.9a200aa3332e68784056efa4f4p+0L : inexact-ok
+acos -0x1p-25
+= acos downward flt-32 -0x8p-28f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 -0x8p-28f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 -0x8p-28f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 -0x8p-28f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 -0x8p-28 : 0x1.921fb5c442d18p+0 : inexact-ok
+= acos tonearest dbl-64 -0x8p-28 : 0x1.921fb5c442d18p+0 : inexact-ok
+= acos towardzero dbl-64 -0x8p-28 : 0x1.921fb5c442d18p+0 : inexact-ok
+= acos upward dbl-64 -0x8p-28 : 0x1.921fb5c442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel -0x8p-28L : 0x1.921fb5c442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel -0x8p-28L : 0x1.921fb5c442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel -0x8p-28L : 0x1.921fb5c442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel -0x8p-28L : 0x1.921fb5c442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k -0x8p-28L : 0x1.921fb5c442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k -0x8p-28L : 0x1.921fb5c442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k -0x8p-28L : 0x1.921fb5c442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k -0x8p-28L : 0x1.921fb5c442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 -0x8p-28L : 0x1.921fb5c442d1846989921a6c570dp+0L : inexact-ok
+= acos tonearest ldbl-128 -0x8p-28L : 0x1.921fb5c442d1846989921a6c570ep+0L : inexact-ok
+= acos towardzero ldbl-128 -0x8p-28L : 0x1.921fb5c442d1846989921a6c570dp+0L : inexact-ok
+= acos upward ldbl-128 -0x8p-28L : 0x1.921fb5c442d1846989921a6c570ep+0L : inexact-ok
+= acos downward ldbl-128ibm -0x8p-28L : 0x1.921fb5c442d1846989921a6c57p+0L : inexact-ok
+= acos tonearest ldbl-128ibm -0x8p-28L : 0x1.921fb5c442d1846989921a6c57p+0L : inexact-ok
+= acos towardzero ldbl-128ibm -0x8p-28L : 0x1.921fb5c442d1846989921a6c57p+0L : inexact-ok
+= acos upward ldbl-128ibm -0x8p-28L : 0x1.921fb5c442d1846989921a6c578p+0L : inexact-ok
+acos -0x1p-45
+= acos downward flt-32 -0x8p-48f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 -0x8p-48f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 -0x8p-48f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 -0x8p-48f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 -0x8p-48 : 0x1.921fb54442d98p+0 : inexact-ok
+= acos tonearest dbl-64 -0x8p-48 : 0x1.921fb54442d98p+0 : inexact-ok
+= acos towardzero dbl-64 -0x8p-48 : 0x1.921fb54442d98p+0 : inexact-ok
+= acos upward dbl-64 -0x8p-48 : 0x1.921fb54442d99p+0 : inexact-ok
+= acos downward ldbl-96-intel -0x8p-48L : 0x1.921fb54442d98468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel -0x8p-48L : 0x1.921fb54442d9846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel -0x8p-48L : 0x1.921fb54442d98468p+0L : inexact-ok
+= acos upward ldbl-96-intel -0x8p-48L : 0x1.921fb54442d9846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k -0x8p-48L : 0x1.921fb54442d98468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k -0x8p-48L : 0x1.921fb54442d9846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k -0x8p-48L : 0x1.921fb54442d98468p+0L : inexact-ok
+= acos upward ldbl-96-m68k -0x8p-48L : 0x1.921fb54442d9846ap+0L : inexact-ok
+= acos downward ldbl-128 -0x8p-48L : 0x1.921fb54442d98469898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 -0x8p-48L : 0x1.921fb54442d98469898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 -0x8p-48L : 0x1.921fb54442d98469898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 -0x8p-48L : 0x1.921fb54442d98469898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm -0x8p-48L : 0x1.921fb54442d98469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm -0x8p-48L : 0x1.921fb54442d98469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm -0x8p-48L : 0x1.921fb54442d98469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm -0x8p-48L : 0x1.921fb54442d98469898cc51702p+0L : inexact-ok
+acos -0x1p-65
+= acos downward flt-32 -0x8p-68f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 -0x8p-68f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 -0x8p-68f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 -0x8p-68f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 -0x8p-68 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 -0x8p-68 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 -0x8p-68 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 -0x8p-68 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel -0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos tonearest ldbl-96-intel -0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel -0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos upward ldbl-96-intel -0x8p-68L : 0x1.921fb54442d1846cp+0L : inexact-ok
+= acos downward ldbl-96-m68k -0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos tonearest ldbl-96-m68k -0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k -0x8p-68L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos upward ldbl-96-m68k -0x8p-68L : 0x1.921fb54442d1846cp+0L : inexact-ok
+= acos downward ldbl-128 -0x8p-68L : 0x1.921fb54442d1846a098cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 -0x8p-68L : 0x1.921fb54442d1846a098cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 -0x8p-68L : 0x1.921fb54442d1846a098cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 -0x8p-68L : 0x1.921fb54442d1846a098cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm -0x8p-68L : 0x1.921fb54442d1846a098cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm -0x8p-68L : 0x1.921fb54442d1846a098cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm -0x8p-68L : 0x1.921fb54442d1846a098cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm -0x8p-68L : 0x1.921fb54442d1846a098cc51702p+0L : inexact-ok
+acos -0x1p-85
+= acos downward flt-32 -0x8p-88f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 -0x8p-88f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 -0x8p-88f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 -0x8p-88f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 -0x8p-88 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 -0x8p-88 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 -0x8p-88 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 -0x8p-88 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel -0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel -0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel -0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel -0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k -0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k -0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k -0x8p-88L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k -0x8p-88L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 -0x8p-88L : 0x1.921fb54442d18469898ccd1701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 -0x8p-88L : 0x1.921fb54442d18469898ccd1701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 -0x8p-88L : 0x1.921fb54442d18469898ccd1701b8p+0L : inexact-ok
+= acos upward ldbl-128 -0x8p-88L : 0x1.921fb54442d18469898ccd1701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm -0x8p-88L : 0x1.921fb54442d18469898ccd17018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm -0x8p-88L : 0x1.921fb54442d18469898ccd17018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm -0x8p-88L : 0x1.921fb54442d18469898ccd17018p+0L : inexact-ok
+= acos upward ldbl-128ibm -0x8p-88L : 0x1.921fb54442d18469898ccd1702p+0L : inexact-ok
+acos -0x1p-105
+= acos downward flt-32 -0x8p-108f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 -0x8p-108f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 -0x8p-108f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 -0x8p-108f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 -0x8p-108 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 -0x8p-108 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 -0x8p-108 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 -0x8p-108 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel -0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel -0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel -0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel -0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k -0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k -0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k -0x8p-108L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k -0x8p-108L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 -0x8p-108L : 0x1.921fb54442d18469898cc5170238p+0L : inexact-ok
+= acos tonearest ldbl-128 -0x8p-108L : 0x1.921fb54442d18469898cc5170238p+0L : inexact-ok
+= acos towardzero ldbl-128 -0x8p-108L : 0x1.921fb54442d18469898cc5170238p+0L : inexact-ok
+= acos upward ldbl-128 -0x8p-108L : 0x1.921fb54442d18469898cc5170239p+0L : inexact-ok
+= acos downward ldbl-128ibm -0x8p-108L : 0x1.921fb54442d18469898cc51702p+0L : inexact-ok
+= acos tonearest ldbl-128ibm -0x8p-108L : 0x1.921fb54442d18469898cc51702p+0L : inexact-ok
+= acos towardzero ldbl-128ibm -0x8p-108L : 0x1.921fb54442d18469898cc51702p+0L : inexact-ok
+= acos upward ldbl-128ibm -0x8p-108L : 0x1.921fb54442d18469898cc517028p+0L : inexact-ok
+acos -0x1p-125
+= acos downward flt-32 -0x8p-128f : 0x1.921fb4p+0f : inexact-ok
+= acos tonearest flt-32 -0x8p-128f : 0x1.921fb6p+0f : inexact-ok
+= acos towardzero flt-32 -0x8p-128f : 0x1.921fb4p+0f : inexact-ok
+= acos upward flt-32 -0x8p-128f : 0x1.921fb6p+0f : inexact-ok
+= acos downward dbl-64 -0x8p-128 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos tonearest dbl-64 -0x8p-128 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos towardzero dbl-64 -0x8p-128 : 0x1.921fb54442d18p+0 : inexact-ok
+= acos upward dbl-64 -0x8p-128 : 0x1.921fb54442d19p+0 : inexact-ok
+= acos downward ldbl-96-intel -0x8p-128L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-intel -0x8p-128L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-intel -0x8p-128L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-intel -0x8p-128L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-96-m68k -0x8p-128L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos tonearest ldbl-96-m68k -0x8p-128L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos towardzero ldbl-96-m68k -0x8p-128L : 0x1.921fb54442d18468p+0L : inexact-ok
+= acos upward ldbl-96-m68k -0x8p-128L : 0x1.921fb54442d1846ap+0L : inexact-ok
+= acos downward ldbl-128 -0x8p-128L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos tonearest ldbl-128 -0x8p-128L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos towardzero ldbl-128 -0x8p-128L : 0x1.921fb54442d18469898cc51701b8p+0L : inexact-ok
+= acos upward ldbl-128 -0x8p-128L : 0x1.921fb54442d18469898cc51701b9p+0L : inexact-ok
+= acos downward ldbl-128ibm -0x8p-128L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos tonearest ldbl-128ibm -0x8p-128L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos towardzero ldbl-128ibm -0x8p-128L : 0x1.921fb54442d18469898cc517018p+0L : inexact-ok
+= acos upward ldbl-128ibm -0x8p-128L : 0x1.921fb54442d18469898cc51702p+0L : inexact-ok
acos min
= acos downward flt-32 0x4p-128f : 0x1.921fb4p+0f : inexact-ok
= acos tonearest flt-32 0x4p-128f : 0x1.921fb6p+0f : inexact-ok
diff --git a/sysdeps/ieee754/ldbl-128/e_acosl.c b/sysdeps/ieee754/ldbl-128/e_acosl.c
index 28c94ed..8c8ec93 100644
--- a/sysdeps/ieee754/ldbl-128/e_acosl.c
+++ b/sysdeps/ieee754/ldbl-128/e_acosl.c
@@ -173,7 +173,7 @@ __ieee754_acosl (long double x)
}
else if (ix < 0x3ffe0000) /* |x| < 0.5 */
{
- if (ix < 0x3fc60000) /* |x| < 2**-57 */
+ if (ix < 0x3f8e0000) /* |x| < 2**-113 */
return pio2_hi + pio2_lo;
if (ix < 0x3ffde000) /* |x| < .4375 */
{
diff --git a/sysdeps/ieee754/ldbl-128ibm/e_acosl.c b/sysdeps/ieee754/ldbl-128ibm/e_acosl.c
index 2cb2882..e5030f1 100644
--- a/sysdeps/ieee754/ldbl-128ibm/e_acosl.c
+++ b/sysdeps/ieee754/ldbl-128ibm/e_acosl.c
@@ -169,7 +169,7 @@ __ieee754_acosl (long double x)
}
if (a < 0.5L)
{
- if (a < 6.938893903907228e-18L) /* |x| < 2**-57 */
+ if (a < 0x1p-106L)
return pio2_hi + pio2_lo;
if (a < 0.4375L)
{
-----------------------------------------------------------------------
Summary of changes:
ChangeLog | 9 +
NEWS | 2 +-
math/auto-libm-test-in | 31 ++
math/auto-libm-test-out | 775 +++++++++++++++++++++++++++++++++
sysdeps/ieee754/ldbl-128/e_acosl.c | 2 +-
sysdeps/ieee754/ldbl-128ibm/e_acosl.c | 2 +-
6 files changed, 818 insertions(+), 3 deletions(-)
hooks/post-receive
--
GNU C Library master sources